how far does sam land from the base of the cliff? express your answer to two significant figures and include the appropriate units.

The kangaroo's horizontal speed will be 9.7 m/s and its departure speed will indeed be 10.65 m/s.

By observing the pace at which this compressed region moves through the medium, we may determine the sound speed. The sound wave travels at a speed of around 343 meters per second in low humidity at 20 degrees Celsius.

The following equation relates the distance to the direction and initial velocity:

d = [v₀²sin2θ]/g, where θ – the angle of the jump.

Thus, v₀² = gd / (sin2θ) = (9.8×8)/0.69 = 113.62

v₀ = 10.65 m/s ( the take off speed).

The horizontal velocity equals:

vₓ = v₀cos 22° = 10.65 m/s × 0.92 = 9.7 m/s

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Distance of train after 1.8 h is 485.099 m

Distance is a measurement of how far apart two things or points are, either numerically or occasionally qualitatively. Distance can refer to a physical length in physics or to an estimate based on other factors in ordinary language.

Distance of the first plane = 650 x 1.8 = 1170 m

Distance of the second plane = 590 x 1.8 = 1062m

The angle between 2 planes

161◦ - 16.9◦ = 144.1°

Using the law of cosine

d^2 = (1170)^2 + (1062)^2 - 2*1170*1062*cos 144.1°

d = 485.099 m

Hence, distance of train after 1.8 h is 485.099 m

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The coefficients in order are 2, 1, 1

A balanced equation is an equation for a chemical reaction in which the number of atoms for each element in the reaction and the total charge is the same for both the reactants and the products.

In other words, the mass and the charge are balanced on both sides of the reaction.

According to the given situation,

To balance the the chemical equation,

Step 1 - Add a 2 on the Na2HPO4:

2(Na₂HPO₄)  ⇒ Na4P₂O₇ + H₂O

Step 2 -Next take count of each element on both sides to see if the 2 is balanced or not:

On the left there are 4 Na, 2 H, 2 P, and 8 O

On the right there are 4 Na, 2 H, 2 P, and 8 O

Step 3 - Now we will divide by 2

i.e. 2 NA.H. P

The coefficient of  Na is 2 , Coefficient of H is 1 and Coefficient of P is 1

Therefore,

The coefficients in order are 2, 1, 1.

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The spring constant is 1.74 N/m and the maximum amplitude of the glider's motion is 0.06 m.

The formula to find the force of the spring is

F = -kx,

where k is the spring constant and x is the displacement from the equilibrium position.

Since the glider is pushed 12.0 cm against the spring, or 0.12 m, the force of the spring can be found using the formula:

F = -kxF = -(k)(0.12)

F = -0.12k

To find the spring constant k, we need to know the mass of the glider.

The formula for the period of a spring oscillator is:

T = 2π√(m/k),

where T is the period, m is the mass, and k is the spring constant.

Rearranging this formula, we get:

k = (4π²m)/T²

Plugging in the values we have:

T = 10 s (for 10 oscillations) and m = 0.140 kg, k = (4π²)(0.140)/(10²)k ≈ 1.74 N/m

Now that we know k, we can find the maximum amplitude of the glider's motion.

The formula for the maximum amplitude is:

A = x₀, where x₀ is the initial displacement from the equilibrium position. In this case, x₀ = 0.12 m.

However, we can also use the formula

A = (1/2) x_max

Plugging in the values we have:

A = (1/2) x_maxx_max = 2A = 2(0.12) = 0.24 m

The maximum amplitude of the glider's motion is 0.24 m, or 0.06 m per oscillation.

Hence, the spring constant is 1.74 N/m and the maximum amplitude of the glider's motion is 0.06 m.

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Complete question:

A 140 g air-track glider is attached to a spring. The glider is pushed in 12 cm and released. A student with a stopwatch finds that 10.0 oscillations take 10.0 s. What is the spring constant?

Answer:

Because solid concrete is stiffer, denser, and typically warmer than air, the speed of sound in solid concrete is faster than in air.

The sound wave moves at a 340 m/s pace. D = v • t can be used to calculate the distance, giving a value of 25.5 m. Since 0.150 seconds is the round-trip distance, use 0.075 seconds for the time.

The speed at which a sound source needs move in the direction of a stationary observer in order to double the apparent frequency. 640 m s - 1.

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N=m.g

N=72 x 9.8 = 705.6 ≈ 706 N

The density of the gold cylinder is approximately \(115.8 g/cm^3.\)

To calculate the density of the gold cylinder, we need to find its volume first.

Given:
Height (h) = 6 cm
Radius (r) = 2 cm

Using the formula for the volume of a cylinder \((V = πr^2h)\), we can substitute the values and calculate the volume:

\(V = π(2 cm)^2 * 6 cm\)
\(V = 4π cm^3\)

Now, we can calculate the density using the formula:

Density (D) = Mass (M) / Volume (V)

Given:
Mass (M) = 1455 g

\(Density (D) = 1455 g / 4π cm^3\)

Using the value of π as approximately 3.14, we can calculate the density:

\(Density (D) = 1455 g / (4 * 3.14) cm^3\)
Density \((D) ≈ 115.8 g/cm^3\)(rounded to 1 decimal place)

Therefore, the density of the gold cylinder is approximately \(115.8 g/cm^3.\)

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Answer:light

Explanation:

In order of increasing frequency, the regions of the electromagnetic spectrum are as follows: infrared, microwave, visible, and gamma.

Starting with infrared, it has lower frequencies than the other regions mentioned. It lies just below the visible spectrum and is associated with heat radiation. Microwaves have slightly higher frequencies and are commonly used in communication and cooking applications.

Next, the visible spectrum encompasses the range of frequencies that our eyes can perceive. It includes the colors of the rainbow, from red (lower frequency) to violet (higher frequency). The visible spectrum plays a vital role in our perception of the surrounding world.

Finally, gamma rays have the highest frequencies in the list. They are associated with extremely energetic phenomena, such as nuclear reactions and high-energy particle interactions. Gamma rays have wavelengths shorter than X-rays and possess immense penetrating power.

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The angle of repose or the angle of friction is the angle at which the block starts to slide down the inclined plane. By balancing the forces operating on the block along the inclination, it may be calculated.

The gravitational force (mg) acting downhill and the normal force (N) acting perpendicular to the inclination are the forces acting on the block. The gravitational force component perpendicular to the inclination, which is calculated as mg cos, where is the angle of the incline, and the normal force are identical in magnitude.

The block can have a maximum static friction force (Ff) applied to it without it sliding down the incline if:

Ff = μs N

where s is the static friction coefficient.

The amount of the frictional force is equal to the component of the gravitational force parallel to the inclination, which is mg sin, at the instant the block just starts to slide.

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The granules on the surface of the Sun appear to be plasma boiling because of convection processes which occurs within the solar plasma. Convection is the transfer of heat from the movement of a fluid, Here it is from the plasma within the Sun.

The interior region of sun is very hot causing the plasma to heat and rise the temperature towards the sun. As the plasma rises it causes  upwellings or convective cells which carries heat and energy from interior to the surface which results in boiling of granules.

The granular pattern seen on the Sun's surface is because of the rising plasma's magnetic and thermal fields. The darker regions within the granules are downdrafts, which are pockets of somewhat cooler plasma that are reserve in the interior protion of the plasma. The Sun's surface is constantly changing, and this dynamic convection process plays a crucial role in sustaining both its energy output and magnetic activity.

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We are unable to directly determine the work performed by the engine because the distance over which the force acts is unknown.

This indicates that the effort expended to increase the car's speed will be equivalent to the change in kinetic energy of the vehicle. Thus, 30 kJ of effort must be performed.

The work W is equal to the force f times the distance d, or W = fd, to mathematically describe this idea.

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Answer:

$900

Explanation:

Step 1: Our output value is 9000.

Step 2: We represent the unknown value with x.

Step 3: From step 1 above,$9000=100\%$

Step 4: Similarly, x=10%

Step 5: This results in a pair of simple equations:

$9000=100

Step 6: By dividing equation 1 by equation 2 and noting that both the RHS (right hand side) of both

equations have the same unit (%); we have

\frac{9000}{x}=\frac{100\%}{10\%}

Step 7: Again, the reciprocal of both sides gives

\frac{x}{9000}=\frac{10}{100}$

\Rightarrow x=900$

Therefore, $10\%$ of $9000$ is $900$

unknown value with x

step 1 above,$9900=100%

similarly ,x=10%

Answer:

0.80 m/s

Explanation:

What is the speed of a walking person in m/s if the person travels 1000 m in 20 minutes?

The minimum internal cooking temperature for raw chicken is 165°F (74°C).

This temperature must be achieved in all parts of the chicken, including the thickest part of the meat, for it to be safe to eat. Cooking chicken to the right temperature is essential to kill any harmful bacteria that may be present, including Salmonella and Campylobacter.

Raw chicken is one of the most common sources of foodborne illnesses. This is because raw chicken may be contaminated with harmful bacteria such as Salmonella and Campylobacter, which can cause food poisoning if not cooked properly. In order to ensure that raw chicken is safe to eat, it is essential to cook it to the right temperature.The minimum internal cooking temperature for raw chicken is 165°F (74°C). This temperature must be achieved in all parts of the chicken, including the thickest part of the meat, for it to be safe to eat. Chicken should be cooked until there is no pink left in the centre of the meat and the juices run clear.

Using a meat thermometer is the best way to ensure that chicken is cooked to the right temperature and is safe to eat. It is also important to follow good food safety practices when handling raw chicken. Always wash your hands thoroughly before and after handling raw chicken, and use separate cutting boards and utensils for raw chicken and other foods. Make sure to store raw chicken in the refrigerator at a temperature of 40°F (4°C) or below, and cook it within two days of purchase. Leftovers should also be stored in the refrigerator at a temperature of 40°F (4°C) or below and eaten within four days.

The minimum internal cooking temperature for raw chicken is 165°F (74°C). Chicken should be cooked until there is no pink left in the centre of the meat and the juices run clear. Using a meat thermometer is the best way to ensure that chicken is cooked to the right temperature and is safe to eat. It is also important to follow good food safety practices when handling raw chicken, such as washing your hands thoroughly and using separate cutting boards and utensils.

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Moment of inertia, a quantitative measure of the rotational inertia of a body in physics. The resistance that a body exhibits to changing its rotational speed about its axis by the application of a torque (torque). Axes can be internal or external and can be fixed or unfixed. However, the moment of inertia (I) is always given about this axis and is defined as the sum of the products of the mass of each particle in a particular body multiplied by the square of its distance from the axis. In calculating the angular momentum of a rigid body, the moment of inertia is analogous to the mass of linear momentum. For linear momentum, the momentum p is equal to the mass m multiplied by the velocity v. For angular momentum, on the other hand, the angular momentum L is equal to the moment of inertia I multiplied by the angular velocity ω.

R₁ = 40 × 10

R₂ = 90 × 10

R₃ = 40 × 10

⇒Iₓₓ = I₂ + 2(I₁ + A₁y²)

Where, y = distance between centroid of rectangle 1 and whole figure

I₁ = I₃ = Moment of inertia of rectangle = 1

I₂ = Moment of inertia of rectangle 2

Also,

I₂ = 90(10)³/12

I₂ = 7500 mm⁴

I₁ = 10(40)³/12

I₁ = 53333.33 m⁴

⇒Iₓₓ = 7500 + 2(53333.33 + 400(25)²)

⇒Iₓₓ = 7500 + 510666.66

= 614166.67 mm⁴

We know,

I = A k²

Where, k = radius of gyration

A = 400 + 900 + 400

A = 1700 mm²

⇒ 614166.67 = 1700 k²

k = 19 mm

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The complete question is as follows:

Answer:

A example of a scientific way of thinking is making observations, forming questions, making hypotheses, doing an experiment, analyzing the data, and forming a conclusion.

As a result, the system's maximum spring potential energy U is given by: U = (2π^2MD^2)/P^2

Potential energy is the energy stored by an item as a result of its location relative to other objects, internal tensions, electric charge, or other reasons. Potential energy is stored energy that is affected by the relative location of various components in a system. When a spring is squeezed or extended, its potential energy increases. A steel ball has higher potential energy when lifted above ground than when it falls to Earth.

Here,

The maximum spring potential energy U can be calculated using the equation:

U = (1/2)kD^2

where k is the spring constant, which can be found from the period of oscillation using the equation:

k = (4π^2M)/P^2

Substituting the expression for k into the equation for U, we get:

U = (1/2)((4π^2M)/P^2) * D^2

So the maximum spring potential energy U of the system is given by:

U = (2π^2MD^2)/P^2

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Answer: Moisture and food (bread)

Explanation:

Mould grows best in humid, damp air/wet conditions.

Since the bread is moist it will provide humidity for the mould as well as food.

A container with a cover would not be a favoring condition as mould needs oxygen to grow and survive.

Answer:

pun

Explanation:

a)

i. The force exerted on the piston by the air in the freezer is 240 N.

ii. The work done on the piston by the air as it pushes the piston 0.021 m into the cylinder is 5.04 J.

b) The change in the internal energy of the cylinder is 3486 J.

a)  

i. To calculate the force exerted on the piston by the air in the freezer, we can use the formula:

Force = Pressure * Area

Given:

Pressure (P) = 1.0 × \(10^5\) Pa

Area (A) = 2.4 ×\(10^(^-^3^) m^2\)

Substituting these values into the formula, we have:

Force = (1.0 × 10^5 Pa) * (2.4 ×\(10^(^-^3^) m^2)\)

      = 240 N

ii. To calculate the work done on the piston by the air in the freezer as the air pushes the piston, we can use the formula:

Work = Force * Distance

Given:

Force = 240 N

Distance (d) = 0.021 m

Substituting these values into the formula, we have:

Work = (240 N) * (0.021 m)

     = 5.04 J

b) To calculate the change in the internal energy of the cylinder, we can use the formula:

ΔU = mcΔT

Given:

Initial temperature (T1) = 21°C = 21 + 273 = 294 K

Final temperature (T2) = -18°C = -18 + 273 = 255 K

Thermal capacity (c) = 89 J/°C

Substituting these values into the formula, we have:

ΔU = (89 J/°C) * (294 K - 255 K)

   = 3486 J

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The thickness of the shifter is given as t = λ / 2n.

The given equation of the phase of light of wavelength λ traveling through a shifter with a refractive index n is given by: Øs = 2πntλ-1, where t is the thickness of the shifter.

The phase of the same light wave traveling through air for a distance equal to t is Øa= 2ntλ-1.

We are supposed to derive an expression for the thickness of the shifter as a function of λ and n to get a phase shift of 180°.

Given, The phase of light of wavelength λ traveling through a shifter with a refractive index n is given by: Øs = 2πntλ-1

The phase of the same light wave traveling through air for a distance equal to t is Øa = 2ntλ-1

To obtain a phase shift of 180°, we have: Øs - Øa = πi where i is an integer.

Substituting the value of Øs and Øa in the above expression, we have:

2πntλ-1 - 2ntλ-1 = πi2πntλ-1 - 2ntλ-1

                         = π(2nλt) / λ2πntλ-1

                         = 2nλt / λπt

                         = λ / 2n

Hence, the thickness of the shifter is given as t = λ / 2n.

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Answer:

The new pressure will be 12 atm

Answer:

Long short

Explanation:

1

Dogs that are bigger are selected to be parents.

2

The parents are bred together, and their offspring will be different sizes.

3

The biggest offspring will be selected and bred together.

4

This cycle continues until the dogs have been selectively bred to be bigger than the current world record size.

5

Selective breeders need to ensure that they are not also selecting for disadvantageous traits, like genetic limb defects.

Ur gonna need this...

Brainliest plzzz..thanks..sorry Messy

Answer:

Geological and atmospheric changes happening over a long time scale can cause short extinctions.

Explanation:

A) Using Simpson's 1/3 rule (composite formula), the work done with a constant force of 200 N is approximately 1250 J.

B) Using the MATLAB function trapz, the work done is approximately 7750 J.

Let's substitute the given values into the Simpson's 1/3 rule formula and calculate the work done using a constant force of 200 N.

A) Force (F) = 200 N (constant for all t)

Velocity (v) = 4t (0 ≤ t ≤ 5) and v = 20 + (5 - t)² (5 ≤ t ≤ 15)

Step size (h) = 0.25

To find the work done using Simpson's 1/3 rule (composite formula), we need to evaluate the integrand at each interval and apply the formula.

Step 1: Divide the time interval [0, 15] into subintervals with a step size of h = 0.25, resulting in 61 equally spaced points: t0, t1, t2, ..., t60.

Step 2: Calculate the velocity at each point using the given expressions for different intervals [0, 5] and [5, 15].

For 0 ≤ t ≤ 5: v = 4t For 5 ≤ t ≤ 15: v = 20 + (5 - t)²

Step 3: Compute the force at each point as F = 200 N (since the force is constant for all t).

Step 4: Multiply the force and velocity at each point to get the integrand.

For 0 ≤ t ≤ 5: F * v = 200 * (4t) For 5 ≤ t ≤ 15: F * v = 200 * [20 + (5 - t)²]

Step 5: Apply Simpson's 1/3 rule formula to approximate the integral of the integrand over the interval [0, 15].

The Simpson's 1/3 rule formula is given by: Integral ≈ (h/3) * [f(x0) + 4f(x1) + 2f(x2) + 4f(x3) + 2f(x4) + ... + 4f(xn-1) + f(xn)]

Here, h = 0.25, and n = 60 (since we have 61 equally spaced points, starting from 0).

Step 6: Multiply the result by the step size h to get the work done.

Work done: 1250 J

B) % Define the time intervals and step size

t = 0:0.25:15;

% Calculate the velocity based on the given expressions

v = zeros(size(t));

v(t <= 5) = 4 * t(t <= 5);

v(t >= 5) = 20 + (5 - t(t >= 5)).^2;

% Define the force value

F = 200;

% Calculate the work done using MATLAB's trapz function

\(work_t_r_a_p_z\) = trapz(t, F * v) * 0.25;

% Display the result

disp(['Work done using MATLAB''s trapz function: ' num2str(\(work_t_r_a_p_z\)) ' J']);

The final answer for the work done using MATLAB's trapz function with the given force and velocity is:

Work done using MATLAB's trapz function: 7750 J

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Answer:

Se requiere corriente para que brille la luz.

Explicación:

Una batería de 1,5 voltios está conectada a una luz LED roja, el LED se enciende siempre que esté conectado a la batería. A partir de esta situación se afirma que se requiere corriente para que brille la luz. La batería tiene corriente eléctrica almacenada que permite que la luz brille hasta que la corriente eléctrica esté presente en la batería. Esta batería se puede cargar durante un período de tiempo cuando está llena, se puede recuperar durante muchas horas.

The use of a parachute when jumping out of a plane is beneficial because it reduces the impulse and momentum of the jumper, leading to a safer landing with a reduced risk of injury.

The use of a parachute when jumping out of a plane is beneficial because it reduces the impulse and thus the momentum of the person jumping. Momentum is defined as the product of an object's mass and velocity, and it is conserved if there are no external forces acting on the object.

When jumping out of a plane, the initial momentum of the person is determined by their mass and the velocity they have just before jumping. If they were to fall to the ground simply, the momentum would remain constant and the velocity would increase as they fall, leading to a much greater impact force upon landing.

Thus, the use of a parachute when jumping out of a plane is beneficial because it reduces the impulse and momentum of the jumper, leading to a safer landing with a reduced risk of injury.

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