It will take approximately 2.19 seconds for the boat to reach the dock.
To find the time it takes for the boat to reach the dock, we can use the following kinematic equation:
d= ut +1/2 at²
Where:
d = distance traveled (12 meters)
u = initial velocity (0 m/s since the boat is stationary)
a = acceleration (5.0 m/s²)
t = time
Substituting the given values into the equation, we have:
12=0⋅t+ 1/2 5 t²
Simplifying the equation, we get:
12= 5/2 T²
Multiplying both sides by 2/5.0, we get:
2/5 . 12 = t²
Simplifying further:
4.8=t²
t= 2.19
Therefore, it will take approximately 2.19 seconds for the boat to reach the dock.
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A 20μC point charge is placed 10cm from a 5μC point charge.
1. Calculate the force experienced by the 5μC charge.
2. What is the force on the 20μC charge?
3. What is the electric field strength located at 15cm from the 20μC charge?
4. Draw the direction of the electric field line at the 15cm mark from the 20μC charge
1. The force experienced by the 5μC charge is 0.45 N.
2. The force on the 20μC charge is -0.45 N.
3. The electric field strength located at 15cm from the 20μC charge is 12 N/C.
4. The electric field lines will point away from the 20μC charge, radially outward.
1. To calculate the force experienced by the 5μC charge, we can use Coulomb's law. Coulomb's law states that the force between two point charges is directly proportional to the product of their charges and inversely proportional to the square of the distance between them. Mathematically, the formula is given by:
\(F = k * (q1 * q2) / r^2\)
Where F is the force, k is the electrostatic constant (9 x 10^9 Nm²/C²), q1 and q2 are the charges, and r is the distance between them.
Plugging in the values:
\(F = (9 x 10^9 Nm^2/C^2) * ((5 x 10^-6 C) * (20 x 10^-6 C)) / (0.1 m)^2\)
= 0.45 N
Therefore, the force experienced by the 5μC charge is 0.45 N.
2. By Newton's third law of motion, the force on the 20μC charge is equal in magnitude but opposite in direction to the force experienced by the 5μC charge. Hence, the force on the 20μC charge is -0.45 N.
3. To calculate the electric field strength at a point, we can use the formula:
\(E = k * (q / r^2)\)
Where E is the electric field strength, k is the electrostatic constant, q is the charge, and r is the distance from the charge.
Plugging in the values:
\(E = (9 x 10^9 Nm^2/C^2) * (20 x 10^-6 C) / (0.15 m)^2\)
= 12 N/C
Therefore, the electric field strength located at 15cm from the 20μC charge is 12 N/C.
4. Electric field lines depict the direction of the electric field. Since the charge is positive (20μC), the electric field lines will point away from it, radially outward. Hence, at the 15cm mark from the 20μC charge, the electric field lines will extend outward from the charge in all directions.
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The emf of a battery is E = 20 V . When the
battery delivers a current of 0.2 A to a load,
the potential difference between the terminals
of the battery is 18 V volts.
Find the internal resistance of the battery.
Answer in units of Ω.
Answer:
10 ohms
Explanation:
V = IR
2 v is the drop in the battery
2 = .2 R
R = 10 ohms
How do you convert Fahrenheit to Kelvin formula?
Fahrenheit to Kelvin conversion formula: (°F - 32) * 5/9 + 273.15.
To convert from Fahrenheit to Kelvin, remove 32 from the Fahrenheit temperature, multiply the result by 5/9, and then add 273.15. This yields the temperature in Kelvin, which is the scientific community's absolute temperature scale.
It is vital to emphasise that 0 Kelvin is absolute zero, or the temperature at which all matter has no thermal energy. Thus, in scientific studies, Kelvin is employed to measure temperature, but Fahrenheit is frequently utilised in the United States. It is critical to be precise when converting temperatures from Fahrenheit to Kelvin in order to precisely measure temperature.
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(please help asap)
Choose the appropriate descriptor for the term meter .
A. Mass
B. Area
C. Length
D. Volume
Answer:
volume
Explanation:
For steady flow of compressible gas in a pipeline, the mass flow rate is the same at any location.
T/F
The statement "For a steady flow of compressible gas in a pipeline, the mass flow rate is the same at any location." is true because it remains constant at any location along the pipeline as long as the product of the three parameters is consistent.
This concept is based on the principle of conservation of mass, which states that mass cannot be created or destroyed in a closed system. In a steady flow, the properties of the fluid do not change with time, meaning the inflow and outflow of mass within the pipeline must be equal.
In the case of compressible gases, factors such as pressure and temperature may change along the pipeline due to processes like compression or expansion. However, these changes do not affect the mass flow rate as long as the flow remains steady. To maintain a constant mass flow rate, the product of the cross-sectional area of the pipeline (A), gas density (ρ), and velocity (V) must remain the same at any given location, as expressed by the equation:
Mass flow rate (m) = A * ρ * V
Even if density and velocity change along the pipeline, the mass flow rate will remain constant as long as the product of these three parameters is consistent. This ensures that the amount of gas entering and leaving the pipeline remains equal, thus maintaining the mass balance within the system.
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A single-slit diffraction pattern is formed on a distant screen. If the width of the single-slit is reduced, what happens to the width of the central bright fringe? What happens to the fringe-width if the distance between the slit and the screen is reduced?
If the width of the slit is reduced, the width of the central bright fringe will increase. If the distance between the slit and the screen is reduced, the fringe-width will increase.
What is occurs in a single-slit diffraction pattern?The width of the central bright fringe in a single-slit diffraction pattern is inversely proportional to the width of the slit. So, if the width of the slit is reduced, the width of the central bright fringe will increase.
The fringe-width is also inversely proportional to the distance between the slit and the screen. So, if the distance between the slit and the screen is reduced, the fringe-width will increase.
To see this, consider the equation for the width of the central bright fringe in a single-slit diffraction pattern:
w = λd / a
where:
w = width of the central bright fringe
λ = wavelength of the light
d = distance between the slit and the screen
a = width of the slit
The width of the central bright fringe is inversely proportional to the width of the slit, a. So, if the width of the slit is reduced, the width of the central bright fringe will increase.
The fringe-width is also inversely proportional to the distance between the slit and the screen, d. So, if the distance between the slit and the screen is reduced, the fringe-width will increase.
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A 0.5 kg baseball is hit by a bat delivering an impulse of 180 kg x m/s. If the bat is in contact with the baseball for 0.4 seconds, what is the force delivered by the bat?
Answer:
450N
Explanation:
Impulse = mv ---> 180kgm/s = (0.5kg)v
v = 360 m/s
Acceleration = v/t ---> a = (360 m/s)/(0.4s) = 900 m/s^2
Force = ma ---> F = (0.5kg)(900 m/s^2) = 450N
Brainliest?
At X-Band the one-way clear air absorption is 0.004 dB/km. Five km from a radar, there is a 3 km wide rain cell (spanning 5 km to 8 km) of 2 mm/hr with one-way absorption of 0.02 dB/km. Ten km from that same radar there is another 3 km wide rain cell of 4 mm/hr with one-way absorption of 0.05 dB/km. Plot the propagation factor, F2, as a function of range. What is the total propagation factor seen by the radar for a target at 12 km?
Rain cell 1: 2 mm/hr, 3 km wide, absorption = 0.02 dB/km, Rain cell 2: 4 mm/hr, 3 km wide, absorption = 0.05 dB/km. The total propagation factor seen by the radar for a target at 12 km is 0.048 dB.
To calculate the total propagation factor (F2) at a range of 12 km, we need to consider the clear air absorption and the absorption due to the rain cells at different ranges.
Given information:
Clear air absorption at X-Band: 0.004 dB/km
Rain cell 1: 2 mm/hr, 3 km wide, absorption = 0.02 dB/km
Rain cell 2: 4 mm/hr, 3 km wide, absorption = 0.05 dB/km
To plot the propagation factor as a function of range, we'll calculate the contributions from each component and sum them up.
Clear Air Absorption:
At 12 km range, the clear air absorption factor is:
Clear air absorption = Clear air absorption coefficient * Range
= 0.004 dB/km × 12 km
= 0.048 dB
Rain Cell 1:
The rain cell 1 is located between 5 km to 8 km. Within this range, the absorption factor is constant at 0.02 dB/km.
We need to calculate the fraction of the rain cell coverage within the range of interest.
Fraction of rain cell 1 coverage = (Coverage within range of interest) / (Total rain cell width)
= (min(8 km, 12 km) - max(5 km, 12 km)) / 3 km
Since the range of interest is 12 km, the coverage within the range is:
Coverage within range of interest = min(8 km, 12 km) - max(5 km, 12 km)
= min(8 km, 12 km) - 12 km
= min(8 km, 12 km) - 12 km
= 8 km - 12 km
= -4 km (No coverage within the range)
Since there is no rain cell coverage within the range of interest, the propagation factor due to rain cell 1 is 0 dB.
Rain Cell 2:
The rain cell 2 is located between 8 km to 11 km. Similar to rain cell 1, we calculate the fraction of rain cell coverage within the range of interest.
Fraction of rain cell 2 coverage = (Coverage within range of interest) / (Total rain cell width)
= \(\frac{ (min(11 km, 12 km) - max(8 km, 12 km))}{3 km}\)
Within the range of interest, the coverage is:
Coverage within range of interest = min(11 km, 12 km) - max(8 km, 12 km)
= min(11 km, 12 km) - 12 km
= 11 km - 12 km
= -1 km (No coverage within the range)
Since there is no rain cell coverage within the range of interest, the propagation factor due to rain cell 2 is 0 dB.
Now, we can calculate the total propagation factor (F2) at 12 km by summing up the contributions:
F2 = Clear air absorption + Rain Cell 1 + Rain Cell 2
= 0.048 dB + 0 dB + 0 dB
= 0.048 dB
Therefore, the total propagation factor seen by the radar for a target at 12 km is 0.048 dB.
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A rubbing or scraping force that penetrates and destroys the outermost layer of skin is called a(n):
A rubbing or scraping force that penetrates and destroys the outermost layer of skin is called an abrasion.
An abrasion is a type of injury to the skin caused by friction, typically through rubbing or scraping against a rough surface. When an object or surface applies force and moves across the skin, it can cause the outermost layer of the skin, known as the epidermis, to be worn away or damaged.
The force applied during an abrasion is strong enough to disrupt the integrity of the skin and remove the superficial layers, exposing the underlying tissues. The severity of an abrasion can vary depending on factors such as the force applied, the duration of the contact, and the nature of the surface involved.
Abrasions commonly occur as a result of falls, accidents, or contact with abrasive materials such as rough pavement, gravel, or sandpaper. The friction and scraping action during an abrasion can cause pain, bleeding, and the formation of a raw or scraped area on the skin.
Treatment for an abrasion typically involves cleaning the wound to remove any debris or dirt, applying an antiseptic to prevent infection, and covering the area with a sterile dressing. In most cases, abrasions heal on their own over time as new skin cells regenerate to replace the damaged layers.
It is important to keep an abrasion clean to prevent infection and promote healing. Additionally, proper wound care, such as keeping the area moisturized and protected, can help minimize scarring and promote optimal healing.
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mpulse is impulse is a force that is applied at a random time. a force that is applied very suddenly. the area under the force curve in a force-versus-time graph. the time interval that a force lasts
Impulse is the area, under the force curve in a force-versus-time graph.
What is impulse?Impulse is the integral of the force (F) over the time interval (Δt) over which the force acts. As force is a vector quantity so will be the impulse. Impulse applied on an object produces a vector change equivalent to its linear momentum, and the resulting direction is also changed. Impulse is the change in linear momentum of the body.
Two ways to calculate impulse:
Multiply force and time (F × Δt) Find the change in momentum (ΔP)Impulse is the area under the curve of a force versus time graph. The area above the time axis is positive Δp and the area below the axis is negative Δp. If the force is not constant, you can divide the graph into sections and add impulse to each section.
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hat must the emf EE of the battery be in order for a current of 2.00 AA to flow through the 5.00 VV battery, as shown?
The emf of the battery of the given circuit is 18 volts and the current through the 6 ohm resistor is 3A.
In a current carrying conductor, the voltage difference V is directly proportional to the current I through the conductor. The constant is called the resistance R.
i.e V=IR.
Emf of the battery is equal to e = V1 +V2
Current through 2 ohm resistor, I2 = V2 /R
I2 = 12/2
I2 =6 A
Voltage through 1 ohm resistor V1 = I1 R
V1 = 6 x 1 =6 volts
Emf of the battery E = 6+12 =18 volts.
The current through 6 ohm resistor is
I = 18 /6 = 3 A
Thus, emf of the battery is 18 volts and the current through the 6 ohm resistor is 3A.
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A 1.2 kg mass is projected up a rough circular track (radius R=0.90 m ) as shown. The speed of the mass at point A is 9.5 m/s. The speed at point B is 3.1 m/s. (a) How much work is done on the mass between A and B by the force of friction? (b) What is the magnitude of the average force of friction for this motion between points A and B ?
To solve this problem, we need to use the conservation of mechanical energy principle, which states that the total mechanical energy of a system remains constant if the only forces acting on the system are conservative forces.
We can start by calculating the total mechanical energy of the system at point A and point B, and then use the conservation of mechanical energy principle to determine the work done by the force of friction and the average force of friction.
(a) Calculation of work done by the force of friction:
At point A, the total mechanical energy of the system is given by:
E_A = mgh_A + 1/2 mv_A²
where m is the mass of the object, g is the acceleration due to gravity, h_A is the height of point A above a reference level, and v_A is the speed of the object at point A.
At point A, the object is at the highest point of the circular track, so its height above the reference level is given by h_A = R. Thus, we can write:
E_A = mgR + 1/2 mv_A²
E_A = (1.2 kg)(9.81 m/s²)(0.90 m) + 1/2 (1.2 kg)(9.5 m/s)²
E_A = 62.19 J
At point B, the total mechanical energy of the system is given by:
E_B = mgh_B + 1/2 mv_B²
where h_B is the height of point B above the reference level and v_B is the speed of the object at point B.
At point B, the object is at the lowest point of the circular track, so its height above the reference level is given by h_B = 0. Thus, we can write:
E_B = 1/2 mv_B²
E_B = 1/2 (1.2 kg)(3.1 m/s)²
E_B = 5.70 J
Since the total mechanical energy of the system is conserved, we have:
E_A = E_B + W_friction
where W_friction is the work done by the force of friction between points A and B.
Thus, we can solve for W_friction:
W_friction = E_A - E_B
W_friction = 62.19 J - 5.70 J
W_friction = 56.49 J
Therefore, the work done by the force of friction between points A and B is 56.49 J.
(b) Calculation of the average force of friction:
We know that the work done by a force is equal to the force times the distance over which it acts. In this case, the force of friction acts over the distance between points A and B, which is equal to the circumference of the circular track.
The circumference of the circular track is given by:
C = 2πR
C = 2π(0.90 m)
C = 5.65 m
Thus, the average force of friction is given by:
F_friction = W_friction / C
F_friction = 56.49 J / 5.65 m
F_friction = 9.99 N
Therefore, the magnitude of the average force of friction for this motion between points A and B is 9.99 N.
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Cart A (m = 2.0 kg) is traveling to the right at 4.0 m/s toward Cart B. Cart Y (m = 8.0 kg) is traveling to the left at 2 m/s. Which cart has the larger magnitude of momentum, and why?
Answer:
1. Cart Y has a larger magnitude of momentum.
2. Because the mass of cart Y is larger than the mass of cart A.
Explanation:
The following data were obtained from the question:
Mass of cart A (mₐ) = 2 Kg
Velocity of cart A (vₐ) = 4 m/s
Mass of cart Y (mᵧ) = 8 Kg
Velocity of cart Y (vᵧ) = 2 m/s
1. Determination of which of the cart has a larger magnitude of momentum.
For Cart A:
Mass (mₐ) = 2 Kg
Velocity (vₐ) = 4 m/s
Momentum of cart A (pₐ) =?
Momentum = mass × velocity
pₐ = mₐ × vₐ
pₐ = 2 × 4
pₐ = 8 Kgm/s
Thus, the momentum of cart A is 8 Kgm/s
For Cart Y:
Mass (mᵧ) = 8 Kg
Velocity (vᵧ) = 2 m/s
Momentum of cart Y (pᵧ) =?
Momentum = mass × velocity
pᵧ = mᵧ × vᵧ
pᵧ = 8 × 2
pᵧ = 16 Kgm/s
Thus the momentum of cart Y is 16 Kgm/s
SUMMARY:
The momentum of cart A is 8 Kgm/s
The momentum of cart Y is 16 Kgm/s
Therefore, cart Y has a larger magnitude of momentum.
2. Determination of the reason why cart Y has a larger magnitude of momentum.
Momentum is simply defined as the product of mass and velocity i.e
Momentum = mass × velocity
Thus, an increase in either mass or velocity will increase the momentum.
Considering the question given and the solution obtained:
Cart A:
Mass (mₐ) = 2 Kg
Velocity (vₐ) = 4 m/s
Momentum of cart A (pₐ) = 8 Kgm/s
Cart Y:
Mass (mᵧ) = 8 Kg
Velocity (vᵧ) = 2 m/s
Momentum of cart Y (pᵧ) = 16 Kgm/s
From the above data, we can see that the mass of cart Y (i.e 8 Kg) is larger than the mass of cart A (i.e 2 Kg).
Thus, we can conclude that the magnitude of the momentum of cart Y is larger than that of cart A irrespective of their velocities because the mass of cart Y is larger than the mass of cart A.
how is the internal energy of the particles in the brake pads affected by the increase in temperature?
Answer:
increasedExplanation:As the temperature is increased the more the energy store
It has been suggested, and not facetiously, that life might have originated on Mars and been carried to Earth when a meteor hit Mars and blasted pieces of rock (perhaps containing primitive life) free of the surface. Astronomers know that many Martian rocks have come to Earth this way. One objection to this idea is that microbes would have to undergo an enormous, lethal acceleration during the impact. Let us investigate how large such an acceleration might be. To escape Mars, rock fragments would have to reach its escape velocity of 5.0 km/s, and this would most likely happen over a distance of about 4.0m during the impact.
1) What would be the acceleration, in m/s, of such a rock fragment?
2) What would be the acceleration, in g's, of such a rock fragment?
3) How long would this acceleration last?
4) In tests, scientists have found that over 40% of Bacillius subtilis bacteria survived after an acceleration of 450000g. In light of your answer to part A, can we rule out the hypothesis that life might have been blasted from Mars to Earth?
Answer and Explanation:
Given that
v_f = 5 km/s = 5,000 m/s
d = 4 m
v_i = 0 m/s
The computation is shown below:
1. The acceleration in m/s is
Here we use the motio third equation which is
\(v_f^2 = v_i^2 + 2ad\)
5000^2 = 0^2 + 2 (a) (4)
So
\(a = 3.125 \times 10^{6} m/s^2\)
2. Now acceleration in g is
\(= \frac{3.125 \times 10^{6} m/s^2}{9.81}\)
\(= 3.18 \times 10^{5}g\)
3. The long of acceleration last is
\(t = \frac{v-u}{a}\)
\(= \frac{5000 - 0}{3.125 \times 10^{6}}\)
\(= 1.6 \times 10^{-3}s\)
4.As we can see that
\(3.18 \times 10^{5}\) is smaller than the \(4.5 \times 10^{5}g\)
So, it should not be ruled out
Using the fft function in MATLAB, plot the magnitude spectrum versus frequency for the signal g(t)=exp(−10t)u(t) for 0≤t≤1 with Δt=0.01. Determine the number of points in the signal. Use 450 zeros for precede and trail and determine the period T. B. Separately, plot the continuous magnitude transform given by: G(f)= 10+j2πf
1
[1−e −(10+j2πf)
] Utilize the same separation in frequencies. C. Using the fft function in MATLAB, plot the magnitude spectrum versus frequency for the signal: g(t)=sinc(πt). Assume Δt=0.01, and use 450 zeros for precede and trail and determine the period T.
The magnitude spectrum versus frequency for the signal g(t) = exp(-10t)u(t) and the continuous magnitude transform, and to determine the number of points in the signal and the period, the provided MATLAB code can be used.
A. To plot the magnitude spectrum versus frequency for the signal g(t) = exp(-10t)u(t) for 0 ≤ t ≤ 1 with Δt = 0.01 and determine the number of points in the signal:
```matlab
% Define parameters
delta_t = 0.01; % Sampling interval
t = 0:delta_t:1; % Time vector
g = exp(-10*t).*(t >= 0); % Signal definition
% Pad with zeros
N_zeros = 450;
g_padded = [zeros(1, N_zeros), g, zeros(1, N_zeros)];
% Compute the Fourier Transform
G = fft(g_padded);
% Compute the magnitude spectrum
G_mag = abs(G);
% Determine the number of points in the signal
num_points = length(g_padded);
% Determine the period
T = num_points * delta_t;
% Determine the frequency vector
Fs = 1/delta_t; % Sampling frequency
f = (-Fs/2 : Fs/num_points : Fs/2 - Fs/num_points);
% Plot the magnitude spectrum versus frequency
plot(f, G_mag);
xlabel('Frequency');
ylabel('Magnitude Spectrum');
title('Magnitude Spectrum versus Frequency');
```
B. To plot the continuous magnitude transform given by G(f) = (10 + j2πf) / (1 - e^(-(10 + j2πf))) and utilize the same frequency separation:
```matlab
% Define frequency range
f = -Fs/2 : Fs/num_points : Fs/2 - Fs/num_points;
% Evaluate the expression for G(f)
G_continuous = (10 + 1j * 2 * pi * f) ./ (1 - exp(-(10 + 1j * 2 * pi * f)));
% Plot the continuous magnitude transform
plot(f, abs(G_continuous));
xlabel('Frequency');
ylabel('Magnitude');
title('Continuous Magnitude Transform');
```
C. To plot the magnitude spectrum versus frequency for the signal g(t) = sinc(πt) assuming Δt = 0.01 and determine the period T:
```matlab
% Define parameters
delta_t = 0.01; % Sampling interval
t = -1:delta_t:1; % Time vector
g = sinc(pi*t); % Signal definition
% Pad with zeros
N_zeros = 450;
g_padded = [zeros(1, N_zeros), g, zeros(1, N_zeros)];
% Compute the Fourier Transform
G = fft(g_padded);
% Compute the magnitude spectrum
G_mag = abs(G);
% Determine the number of points in the signal
num_points = length(g_padded);
% Determine the period
T = num_points * delta_t;
% Determine the frequency vector
Fs = 1/delta_t; % Sampling frequency
f = (-Fs/2 : Fs/num_points : Fs/2 - Fs/num_points);
% Plot the magnitude spectrum versus frequency
plot(f, G_mag);
xlabel('Frequency');
ylabel('Magnitude Spectrum');
title('Magnitude Spectrum versus Frequency');
```
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The time to assemble a certain type of a computer board from a certain assembly line, has a normal distribution. The assembly times for a random sample of 20 boards are measured. The sample mean and sample standard deviation of observed times are: X &=35 minutes and s=2.2 minutes. a. Find a 90% confidence interval for the true average assembly time for a board. b. Find a 90% confidence interval for the true variance of assembly time F2. c. Find a 90% confidence interval for the true standard deviation of assembly time F.
The 90% confidence interval for the true average assembly time for a board is (34.19 minutes, 35.81 minutes).
What is average?
The ratio of a sum of the values in a given set to all the values in the set is the mean value, which is the definition of the average. The average formula has numerous practical uses. If we were asked to determine the average male height throughout India or the average age of the men and women in a group, we would add up all the data and divide it by the total number of data points. In mathematics, the central value of the a set of data is expressed as the average of a list of data.
A) The 90% confidence interval for the true average assembly time for a board is (34.19 minutes, 35.81 minutes).
B) The 90% confidence interval for the true variance of assembly time is (3.42 minutes, 7.06 minutes).
C) The 90% confidence interval for the true standard deviation of assembly time is (1.84 minutes, 2.65 minutes).
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Unbeknownst to the students, every time the school floors are waxed, Mr. Tracy, the principal, likes to slide down the Hallway in his socks. Mr. Tracy weighs 85 kg and the coefficient of sliding friction between his socks and the floor is 0.120. What is the force of friction that opposes Mr. Tracy's motion down the hall?
Answer:
f = 99.96 N
Explanation:
Weight of Mr. Tracy, W = 85 kg
The coefficient of sliding friction between his socks and the floor is 0.12.
We need to find the force of friction that opposes Mr. Tracy's motion down the hall.
The force of friction is given by :
\(f=\mu mg\\\\f=0.12\times 85\times 9.8\\\\f=99.96\ N\)
So, the required force of friction is 99.96 N.
Which expression correctly describes force using Sl units?O A. 1 J= 1 kg-m/s²OB. 1 N=1 kgm/sOC. 1 J= 1 kg-m/sD. 1 N = 1 kg-m/s²
D. 1 N = 1 kg-m/s²
Explanation
Force can be defined as the push or pull on an object with mass that causes it to change its velocity, for example the force of gravity , this force pushes us to the cneter of the earth,
so
\(Force=\text{ mass *acceleration}\)SI( international system of units) is the metric system that is used universally as a standard for measurements, the units for mass and acceleration are
\(\begin{gathered} mass\Rightarrow kilograms\Rightarrow kg \\ aceleration\Rightarrow meters\text{ per square second}\Rightarrow\frac{m}{s^2} \end{gathered}\)therefore, the units of force would be
\(\begin{gathered} Force=\text{ mass *acceleration} \\ Force=kg*\frac{m}{s^2} \\ \end{gathered}\)by definition
\(\begin{gathered} 1\text{ kg}\frac{m}{s^2}=1\text{ Newton\lparen N\rparen} \\ so \\ 1N=1\text{ kg}\frac{m}{s^2} \end{gathered}\)therefore, the answer is
D. 1 N = 1 kg-m/s²
I hope this helps you
How do the locations of frequent earthquakes help support the theory of plate tectonics?
The frequent earthquakes in certain locations support the theory of plate tectonics.
Plate tectonics is the scientific theory that explains the movement of the Earth's lithosphere. Earthquakes are caused by the movement of tectonic plates, and the locations of frequent earthquakes help to support the theory of plate tectonics.
For example, areas such as the Ring of Fire, a region around the Pacific Ocean where a large number of earthquakes and volcanic eruptions occur, are located at the boundaries of several tectonic plates.
These boundaries are where the plates interact with one another, causing earthquakes, volcanic eruptions, and other geological events.
In addition to the Ring of Fire, other areas that experience frequent earthquakes are also located at plate boundaries.
For example, the San Andreas Fault in California marks the boundary between the Pacific Plate and the North American Plate, and earthquakes in this region are the result of the plates moving past one another.
Similarly, the Himalayan Mountains were formed as the result of the collision between the Indian Plate and the Eurasian Plate. The action of the plates pushing against one another causes frequent earthquakes in the region.
Overall, the locations of frequent earthquakes help to support the theory of plate tectonics by providing evidence of the movement and interaction of tectonic plates. Scientists use this evidence to better understand the Earth's geology and to make predictions about future earthquakes and other geological events.
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A long-jumper leaves the ground at an angle of 20.0° above the horizontal and at a speed of 11.0 m/s.How far does he jump in the horizontal direction?(Assume his motion is equivalent to that of a particle.).
a. 12m
b. 7.94m
c. 10m
d. 0.384m
Answer:
The correct option is;
b. 7.94 m
Explanation:
The given parameters of the jump of the long jumper are;
The angle above the horizontal with which the long jumper leaves the ground, θ = 20.0°
The speed with which the long jumper leaves the ground, u = 11.0 m/s
The furthest horizontal distance the long jumper jumps, given that the motion is equivalent to that of a particle, is given by the formula for the range, R, of a projectile motion as follows;
\(R = \dfrac{u^2 \times sin \left (2 \cdot \theta \right )}{g}\)
Where;
g = The acceleration due to gravity ≈ 9.8 m/s²
u = The initial velocity of the long-jumper = 11.0 m/s
θ = The angle of the direction above the horizontal the long-jumper jumps = 20.0°
Plugging in the values, gives;
\(R = \dfrac{(11.0 \ m/s)^2 \times sin \left (2 \times 20.0 ^{\circ} \right )}{9.8} = \dfrac{121 \ m^2/s^2 \times sin \left (40.0 ^{\circ} \right )}{9.8 \ m/s^2} \approx 7.94 \ m\)
How far the long-jumper goes = The range, R, of the projectile motion ≈ 7.94 m.
determine the molar concentration of 4 moles of HCL dissolved in 2500 ml of solution
Answer:
1.6 molar
Explanation:
C=number of moles/volume
convert ml to L
V =2.5L
C= 4/2.5
=1.6 molar
The ozone layer is an important component of earth’s atmosphere because it helps to block uv radiation from reaching earth. the ozone layer absorbs most of the harmful uv radiation from the sun and stores it as heat within the stratosphere. if the ozone layer were completely removed, what effect would that change have on temperature?
If ozone layer is completely removed then many severe effects can be seen in the temperature of the earth.
The ice in the Antarctica starts getting melt which increases the level of water in ocean and proved to be harmful for the coastal areas. The rise in temperature also lead to long summers and high temperatures ranges from 50° C to 65° C .Explanation:
The removal of ozone layer will not only effect the temperature but also had a great impact on human and animals such as
The harmful rays will directly fall on earth in the absence of ozone cause cancer in animals, plants and humans. These harmful rays weaken the immune system. Lead to disturbance of food chain in following ways : -It will led to increase in herbivores as a result, the number of plants will decrease and the amount of oxygen will also decrease in the atmosphere. The carnivores keep the population of other carnivores and herbivores in check. This will disturb the balance of ecosystem. The concentration of harmful chemicals is maximum at the last trophic level . Because these chemicals are not degradable, these get accumulated progressively at each trophic level.Answer:
2 & 5 (picture is attached)
Explanation:
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How harmful are the emissions from cosmetics, hygiene, and cleaning products? Claim
Evidence 1
Evidence 2
Evidence 3
Reasoning
The claim can be Cosmetics, hygiene, and cleaning product emissions may be dangerous.
Evidence 1: Effect of Air Quality
Volatile organic compounds (VOCs), including formaldehyde, benzene, and toluene, can be found in a variety of cosmetic, hygiene, and cleaning goods. These VOCs have the potential to evaportate and cause indoor air pollution.
Environmental impact is evidence number two
Cosmetics, hygiene, and cleaning goods can have a detrimental environmental impact during manufacturing, usage, and disposal. Microplastics and certain chemicals are among the substances present in these items that may find their way into rivers and endanger aquatic life.
Evidence 3: Worker health effects
Occupational health risks can be present for workers who manufacture and produce hygiene, cleaning, and cosmetic items.
Reasoning: It is clear from the research that emissions from cosmetic, hygiene, and cleaning goods have the potential to be harmful.
Thus, this way, harmful are the emissions from cosmetics, hygiene, and cleaning products.
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(04) The figure here shows how a piece of plank, kept inclined, is used to lift a load of 450 N to a height of 1.2 m. The effort applied is 150 N and the efficiency of the inclined plane is 60%. i. Find the mechanical advantage of the inclined plane. ii. Calculate the length of the plane. iii. Find the velocity ratio. iv. How much is the work-input? v. How much is the work-output? 450 N 1.2 m
describe and explain hyperhydration in athletes as 1) a normal condition, 2) a pre-competition strategy, and 3) a dangerous medical condition.
Hyperhydration in athletes is a strategic approach used to optimize hydration levels. While it can be a pre-competition strategy, excessive fluid intake can lead to dangerous conditions like hyponatremia. Caution is advised.
Hyperhydration in athletes is a strategic approach used to enhance performance and optimize hydration levels before exercise or competition. It involves increasing fluid intake beyond normal levels to achieve a state of enhanced hydration.
Hyperhydration as a pre-competition strategy involves consuming additional fluids to achieve a fluid surplus in the body, increasing total body water. This can be done through careful planning and timed fluid intake, typically in the hours leading up to an event. The goal is to ensure the body is well-hydrated and prepared for the physical demands of the activity. Hyperhydration strategies may include the consumption of sports drinks, water, and electrolyte-rich fluids.
However, it is important to note that hyperhydration can become a dangerous medical condition if taken to extreme levels. Excessive fluid intake without proper monitoring and guidance can lead to a condition known as hyponatremia, where the blood sodium levels become dangerously diluted. Hyponatremia can cause symptoms ranging from mild discomfort to severe health complications, including organ dysfunction and even death. Therefore, athletes should approach hyperhydration with caution and under the guidance of healthcare professionals or sports nutritionists to prevent the risks associated with overhydration.
In summary, hyperhydration can be a normal condition in athletes, serving as a pre-competition strategy to optimize hydration levels and enhance performance. However, it is essential to understand the potential risks involved and avoid excessive fluid intake to prevent the development of dangerous medical conditions such as hyponatremia.
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CALCULATE:
An object moves from point A to point B to
point C, then back to point B and then to point C along the line
shown in the figure below.
a) Find the distance covered by the moving object.
b) Find the magnitude and direction of the
An object moves from point A to point B to point C, then back to point B and then to point C along the line. The distance covered by the moving object is 17 km.The magnitude and direction of the 9 km direction A to C.
Given:
Distance from A to B = 5km
Distance from B to C = 4km
Movement of object = A to B to C + C to B + B to C
Movement is in straight line
What is distance?
Distance is referred to the total path or way covered by any object in its entire motion.
Distance comes in the list of scalar quantities.
It only has magnitude.
What is displacement?
(a)Displacement is referred as the straight line joining the start and end points of any body's motion.
It is independent of the total path.
It is a vector quantity and has magnitude as well as direction.
In the given figure:
A to B to C = (5+4) = 9 km
C to B = 4 km
B to C = 4 km
Distance covered = total path covered in its motion = A to B to C + C to B + B to C = 9 + 4 + 4 = 17 km
(b) Initial point of body = A = 0 km
Final point of body = C = 9 km
Displacement of the body = A to C = (9 - 0) km= 9 km
displacement 9 km
direction A to C
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Dani says, "This classroom is 11 meters long. A meter is longer than a yard, so if I measure the length of this classroom in yards, I will get less than 11 yards."
Do you agree with Dani ?
Answer:
im not sure i just need points....
Explanation:
What does BIOS stand for?
basic integrated operation software
basic input/output system
basic input/output software
basic information operation system
Answer: (B) Basic Input/Output System
Explanation: right on edge 2020
A soccer ball with a mass of 0.60 kg travels toward a soccer goalie at
a speed of 18 m/s. The goalie catches the ball, bringing it to a stop
in 0.035 s. What is the force exerted by the goalie on the soccer ball?
A 58.0 g incoming tennis ball has a speed of 30 m/s when it is hit by a
racket in the opposite direction and leaves the racket at 40 m/s. What
is the average force exerted by the racket on the ball if contact lasted
for 5.2 ms?
Assuming constant acceleration, the goalie slows the ball from 18 m/s to rest in 0.035 s, so that the acceleration felt by the ball is
\(a_{\rm ave} = a = \dfrac{18\frac{\rm m}{\rm s}-0}{0.035\,\mathrm s} \approx \boxed{510\dfrac{\rm m}{\mathrm s^2}}\)