A. The acceleration of the ball while it is in flight?
magnitude is 0 m/s² (magnitude is zero)
B. The velocity of the ball when it reaches its maximum height is 0 m/s (magnitude is zero)
C. The initial velocity of the ball 8.036 m/s upward
D. The maximum height reached by the ball is 3.29 m
A. How to determine the acceleration in the flightConsidering that the ball came to rest after 1.64s, it means the entire acceleration of the flight is zero as the ball was not moving in any form again.
B. How to determine the velocity at maximum heightAt maximum height, the velocity of the ball is zero as it no longer has magnitude to keep going upwards. Hence the ball begins to ball down.
C. How to determine the initial velocityAcceleration due to gravity (g) = 9.8 m/s²Final velocity (v) = 0 m/sTime of flight (T) = 1.64 sTime to reach maximum height (t) = T / 2 = 1.64 / 2 = 0.82 sInitial velocity (u) =?v = u - gt (since the ball is going against gravity)
0 = u - (9.8 × 0.82)
0 = u - 8.036
Collect like terms
u = 0 + 8.036
u = 8.036 m/s upward
D. How to determine the maximum height reached by the ballTime to reach maximum height (t) = T / 2 = 1.64 / 2 = 0.82 sAcceleration due to gravity (g) = 9.8 m/s²Maximum height (h)h = ½gt²
h = ½ × 9.8 × 0.82²
h = 3.29 m
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Can somebody please answer both of my questions? This one and the one under my profile.
Image to question is attached.
Please don't just comment for the points. I need actual help.
The coefficient of friction is 1.39.
Describe Potential Energy?Potential energy is a form of energy that an object possesses due to its position or configuration. It is the energy that is stored in an object as a result of its position or shape, and is potentially available to do work when released. The amount of potential energy an object has depends on its mass, height, and its distance from a reference point where the potential energy is considered to be zero. The most common example of potential energy is gravitational potential energy, which is the energy an object has due to its position above the ground. Other examples of potential energy include elastic potential energy, chemical potential energy, and nuclear potential energy. Potential energy can be converted into other forms of energy, such as kinetic energy or thermal energy, through various processes such as falling, stretching, or chemical reactions.
First, let's find the spring potential energy when it is compressed by 10.0 cm:
U_spring = (1/2)kx² = (1/2)(25.0 N/m)(0.1 m)² = 0.125 J
When the object is released, all of this potential energy is converted to kinetic energy:
K = U_spring = 0.125 J
The initial velocity of the object can be found using the conservation of energy:
K = (1/2)mv²
v = √(2K/m) = √(2(0.125 J)/(0.0200 kg)) = 2.50 m/s
Since the object slides a distance of 1.15 m, the average frictional force acting on it is:
F_friction = (1/2)mv²/d1 = (1/2)(0.0200 kg)(2.50 m/s)²/1.15 m = 0.272 N
The gravitational potential energy of the object when it is at a height h = 1.00 m above the floor is:
U_gravity = mgh = (0.0200 kg)(9.81 m/s²)(1.00 m) = 0.196 J
When the object falls to the floor, this potential energy is converted to kinetic energy:
K = U_gravity = 0.196 J
The final velocity of the object just before it hits the floor can be found using the conservation of energy:
K = (1/2)mv²
v = √(2K/m) = √(2(0.196 J)/(0.0200 kg)) = 3.14 m/s
The horizontal distance the object travels while falling can be found using the time it takes to fall:
t = √(2h/g) = √(2(1.00 m)/(9.81 m/s²)) = 0.452 s
d_fall = v*t = (3.14 m/s)(0.452 s) = 1.42 m
The total horizontal distance the object travels is:
d_total = d1 + d_fall = 1.15 m + 1.42 m = 2.57 m
The coefficient of friction can be found using the relationship:
F_friction = μN
where N is the normal force acting on the object. Since the object is not accelerating vertically, we know that:
N = mg
The normal force is also equal in magnitude to the force that the tabletop exerts on the object perpendicular to the surface:
N = F_tabletop
Therefore, the coefficient of friction is:
μ = F_friction/F_tabletop = F_friction/mg = (0.272 N)/(0.0200 kg)(9.81 m/s²) = 1.39
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The figure shows a cube resting on top of a table . If the table rotates and moves the cube in a counterclockwise circle at a constant speed , describe the direction of the acceleration experienced by the cube .
Answer:
Forwarded
Explanation:
a car increases its speed as it moves across the floor. which form of energy is increasing for the car?
Answer:
kinetic
Explanation:
i just remember it from last year
Answer:
kinetic energy
Explanation:
expression for kinetic energy is
kinetic energy = (1/2) × mass × (velocity)^2
so , as velocity increases K.E increases
A contestant in a winter games event pulls a 36.0 kg block of ice across a frozen lake with a rope over his shoulder as shown in Figure 4.29(b). The coefficient of static friction is 0.1 and the coefficient of kinetic friction is 0.03.
Figure 4.29
(a) Calculate the minimum force F he must exert to get the block moving.
40.873
(b) What is its acceleration once it starts to move, if that force is maintained?
m/s2
(a) The minimum force F he must exert to get the block moving is 38.9 N.
(b) The acceleration of the block is 0.79 m/s².
Minimum force to be applied
The minimum force F he must exert to get the block moving is calculated as follows;
Fcosθ = μ(s)Fₙ
Fcosθ = μ(s)mg
where;
μ(s) is coefficient of static frictionm is mass of the blockg is acceleration due to gravityF = [0.1(36)(9.8)] / [(cos(25)]
F = 38.9 N
Acceleration of the blockF(net) = 38.9 - (0.03 x 36 x 9.8) = 28.32
a = F(net)/m
a = 28.32/36
a = 0.79 m/s²
Thus, the minimum force F he must exert to get the block moving is 38.9 N.
The acceleration of the block is 0.79 m/s².
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Example 3 :
A liquid with relative density 0.9 and dynamic viscosity of 0.06 Pas
flows in a cast iron pipe of length 100 m and diameter 120 mm.
Determine the friction factor using formula method, and then
calculate the head loss using the answer obtained then using
friction factor formula when the velocity is:
a) 1 ms-1
b) 3 ms-1
The friction factor and head loss when velocity is 1m/s is 0.289 and 1.80 × 10^8 respectively. Also, the friction factor and head loss when velocity is 3m/s is 0.096 and 5.3 × 10^8 respectively.
How to determine the friction factorUsing the formula
μ = viscosity = 0. 06 Pas
d = diameter = 120mm = 0. 12m
V = velocity = 1m/s and 3m/s
ρ = density = 0.9
a. Velocity = 1m/s
friction factor = 0. 52 × \(\frac{0. 06}{0. 12* 1* 0. 9}\)
friction factor = 0. 52 × \(\frac{0. 06}{0. 108}\)
friction factor = 0. 52 × 0. 55
friction factor \(= 0. 289\)
b. When V = 3mls
Friction factor = 0. 52 × \(\frac{0. 06}{0. 12 * 3* 0. 9}\)
Friction factor = 0. 52 × \(\frac{0. 06}{0. 324}\)
Friction factor = 0. 52 × 0. 185
Friction factor \(= 0.096\)
Loss When V = 1m/s
Head loss/ length = friction factor × 1/ 2g × velocity^2/ diameter
Head loss = 0. 289 × \(\frac{1}{2*6. 6743 * 10^-11}\) × \(\frac{1^2}{0. 120}\) × \(\frac{1}{100}\)
Head loss = 1. 80 × 10^8
Head loss When V = 3m/s
Head loss = \(0. 096\) × \(\frac{1}{1. 334 *10^-10}\) × \(\frac{3^2}{0. 120}\) × \(\frac{1}{100}\)
Head loss = 5. 3× 10^8
Thus, the friction factor and head loss when velocity is 1m/s is 0.289 and 1.80 ×10^8 respectively also, the friction factor and head loss when velocity is 3m/s is 0.096 and 5.3 ×10^8 respectively.
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A 2.5 kg block is initially at rest on a horizontal surface.A horizontal force of magnitude 6.0 N and a vertical force are
then applied to the block (Fig. 6-17).The coefficients of friction for
the block and surface are ms " 0.40 and mk " 0.25. Determine the
magnitude of the frictional force acting on the block if the magnitude
of is (a) 8.0 N, (b) 10 N, and (c) 12 N.
To solve this problem, we need to determine the frictional force acting on the block with different magnitudes of the applied force.
First, we need to find the normal force on the block, which is equal to the weight of the block. The weight of the block is given by:
W = mg = 2.5 kg x 9.8 m/s^2 = 24.5 N
Next, we need to find the force of the applied vertical force, which is given in the problem as "is". We can use trigonometry to find the vertical component of the force:
Fv = is sinθ
where θ is the angle between the force and the horizontal surface. Since the problem does not give us the value of θ, we will assume it to be 0°, which means the force is purely horizontal.
(a) If the magnitude of the applied force is 8.0 N, then the frictional force can be calculated as:
Ff = μsFn = μs(mg - Fv) = 0.40(24.5 - 0) = 9.8 N
(b) If the magnitude of the applied force is 10 N, then the frictional force can be calculated as:
Ff = μsFn = μs(mg - Fv) = 0.40(24.5 - 10) = 5.8 N
(c) If the magnitude of the applied force is 12 N, then the frictional force can be calculated as:
Ff = μkFn = μk(mg - Fv) = 0.25(24.5 - 12) = 3.1 N
Therefore, the magnitude of the frictional force acting on the block is 9.8 N, 5.8 N, and 3.1 N, for applied forces of 8.0 N, 10 N, and 12 N, respectively.
(a) When the horizontal force is 8 N the frictional force is 11.8 N.
(b) when the applied force is 10 N; the frictional force is 13.8 N.
(c) when the applied force is 12 N; the frictional force is 15.8 N.
What is the magnitude of the frictional force acting on the block?(a) The magnitude of the frictional force on the block when the horizontal force is 8 N is calculated as;
F - Ff = ma
where;
F is the horizontal force appliedFf is the frictional forcem is the massa is the accelerationF - μmg = ma
6 - 0.4 x 2.5 x 9.8 = 2.5 a
2.5 a = -3.8
a = -3.8/2.5
a = -1.52 m/s²
when the applied force is 8 N;
8 N - Ff = -1.52 m/s² x 2.5 kg
Ff = 11.8 N
(b) when the applied force is 10 N;
10 N - Ff = -1.52 m/s² x 2.5 kg
Ff = 13.8 N
(c) when the applied force is 12 N;
12 N - Ff = -1.52 m/s² x 2.5 kg
Ff = 15.8 N
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A roller coaster is at a peak of 20m and has a mass of 900kg. What is the potential energy of the roller coaster?
O 100000 J
10000 J
O 9.8 J
O 176400 J
The potential energy of the roller coaster is 176,400 J (joules).
The potential energy of an object is given by the formula PE = mgh, where PE is the potential energy, m is the mass of the object, g is the acceleration due to gravity, and h is the height or vertical position of the object.
In this case, the roller coaster is at a peak of 20m and has a mass of 900kg. The acceleration due to gravity, g, is approximately 9.8 \(m/s^2\).
Using the formula, we can calculate the potential energy:
PE = mgh
= (900 kg)(9.8 \(m/s^2\))(20 m)
= 176,400 J
Therefore, the potential energy of the roller coaster is 176,400 J (joules).
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A spring has a spring constant of 40N/M it is stretched by 30cm how much energy is stored in a spring
Answer: 1.8J
Explanation:
• Formula for Elastic Potential Energy: PEelastic = 1/2kx^2
• Convert cm to m: (30/100) = 0.30m
• PEelastic = (1/2)(40N/m)(.30m)^2
= 1.8J
A proton has a charge , what gives it a charge?
Answer:
The charge is believed to be from the charge of the quarks that make up the nucleons (protons and neutrons). A proton is made of two Up quarks, with 2/3 positive charge each and one Down Quark with a negative 1/3 charge (2/3 + 2/3 + -1/3 = 1).
Explanation:
Hope this helps :)
What is an advantage of using a laser over a scalpel for surgery?
Explanation:
The laser cauterizes as it cuts thus reducing blood loss.
An air-filled capacitor consists of two parallel plates, each with an area of 7.60 cm^2, separated by a distance of 1.70 mm. A 25.0-V potential difference is applied to these plates. Calculate: a. the electric field between the plates b. the surface charge density c. the capacitance d. the charge on each plate.
Answer:
(a) 1.47 x 10⁴ V/m
(b) 1.28 x 10⁻⁷C/m²
(c) 3.9 x 10⁻¹²F
(d) 9.75 x 10⁻¹¹C
Explanation:
(a) For a parallel plate capacitor, the electric field E between the plates is given by;
E = V / d -----------(i)
Where;
V = potential difference applied to the plates
d = distance between these plates
From the question;
V = 25.0V
d = 1.70mm = 0.0017m
Substitute these values into equation (i) as follows;
E = 25.0 / 0.0017
E = 1.47 x 10⁴ V/m
(c) The capacitance of the capacitor is given by
C = Aε₀ / d
Where
C = capacitance
A = Area of the plates = 7.60cm² = 0.00076m²
ε₀ = permittivity of free space = 8.85 x 10⁻¹²F/m
d = 1.70mm = 0.0017m
C = 0.00076 x 8.85 x 10⁻¹² / 0.0017
C = 3.9 x 10⁻¹²F
(d) The charge, Q, on each plate can be found as follows;
Q = C V
Q = 3.9 x 10⁻¹² x 25.0
Q = 9.75 x 10⁻¹¹C
Now since we have found other quantities, it is way easier to find the surface charge density.
(b) The surface charge density, σ, is the ratio of the charge Q on each plate to the area A of the plates. i.e
σ = Q / A
σ = 9.75 x 10⁻¹¹ / 0.00076
σ = 1.28 x 10⁻⁷C/m²
football or basketball which one is easier to get you offers
Answer:
basketball
Explanation: cause it is
Answer:
It honestly depends on which one you're better at.
Explanation: I mean that's what I think.
recognizing forms of energy
Answer:
hi the question isn't obvious and need a photo I guess
I just had to shove an eos in my mouth because I keep shouting random things.....
Answer:
oooop tehehehehehee
ahahhhahaaahahjabasa
Answer:
uhm- heh, wut lol ️️
Curran is testing out a newly waxed hallway floor by sliding in his socks.
He runs from one end of the hallway and starts sliding midway going all
the way to the right. The forces acting on Curran as he is sliding are
represented in the diagram below. Identify the forces and match them
correctly to the numbers.
Answer:
Curran is testing out a newly waxed hallway floor by sliding in his socks.
He runs from one end of the hallway and starts sliding midway going all
the way to the right. The forces acting on Curran as he is sliding are
represented in the diagram below. Identify the forces and match them
correctly to the n
A liquid having a mall depth but a large volume is forced by an applied pressure p
Find the average force on the window and the pressure on the window
004) The force F exerted by each hailstone is given by Second Newton law:
\(F=ma\)where m is the mass of each hailstone and a is its acceleration. a can be calculated by using:
\(a=\frac{\Delta v}{t}\)where v is the speed at which the hailstones impact the window and t the time interval of the impact.
By replacing the values of v and t you obtain for acceleration:
\(a=\frac{4.1\frac{m}{s}}{29s}=0.1413793103\frac{m}{s^2}\)Then, the force F is:
\(F=(0.004kg)(0.1413793103\frac{m}{s^2})=5.65517241\times10^{-4}N\)where the mass m is used in kg in order to obtain N units for force.
Now, consider that the impact of the hailstones on the window is at angle of 44 degrees. It means that the effective force exerted by each hailstones is:
\(55.65517241\times10^{-4}N\cdot\sin 44=3.92841285\times10^{-4}N\)It means that the average force due to the total number of hailstones is:
\(F_{\text{avg}}=2\cdot3.92841285\times10^{-4}N\cdot525=0.4124833496N\)005) Then, by replacing the previous value of the force and the area of the impact on the window, into the formula for the pressure, you have:
\(P=\frac{0.4124833496^{}N}{0.974m^2}=0.4234941988\frac{N}{m^2}\)Which characterictic of motion could change without changing the velocity of an object
Answer:
The direction could change
A 3.0-kg block moves up a 40° incline with constant speed under the action of a 26-N force acting up and parallel to the incline. What magnitude force must act up and parallel to the incline for the block to move down the incline at constant velocity?
Explanation:
Sooooo, first,
Constant Speed means that the body isn't accelerating.
a= 0
Let the force that causes it to move up the incline be P and Q be the force that causes the body to move down the incline. Let Fr be the frictional force.
The force that pulls the body downwards is given by,
F = mgsin40°
F= 18.898N
P -(F+Fr) = ma, but, a= 0
P = F + Fr
Fr = 26-18.898
= 7.102N
If the block must move down the incline, Q and Fr will act in the same direction.
Q + Fr = F
Q = 11.796N
QUESTION 8 (Start on a new page.) P is a point 0,5 m fro. n charged sphere A. The electric field at P is 3 x 107 N-C-1 directed towards A. Refer to the diagram below. wes 8.1 0,5 m 8.3 Draw the electric field pattern due to charged sphere A Indicate the sign of the charge on the sphere in your diagram. 8.2 Calculate the magn itude of the charge on sphere A. Another charged sphere, E, having an excess of 105 electrons, is now place at point P. Calculate the electrost atic force experienced by sphere B.
1. The electric field pattern due to charged sphere A can be represented by lines radiating outward from the sphere.
2. The magnitude of the charge on sphere A is approximately 0.0833 Coulombs.
3. The electrostatic force experienced by sphere B when placed at point P is approximately 2.675 x 10^-4 Newtons.
1. These lines should be evenly spaced and symmetric around the sphere, indicating a radial field pattern. Since the electric field at point P is directed towards sphere A, the field lines should point inward towards the sphere. Thus, the electric field pattern would resemble a series of concentric circles with lines converging towards the center of sphere A.
2. To calculate the magnitude of the charge on sphere A, we can use the formula for the electric field strength (E) due to a point charge:
E = k * (Q / r^2)
where k is the electrostatic constant (approximately 9 x 10^9 N m^2/C^2), Q is the charge on the sphere, and r is the distance from the sphere to the point P.
From the given information, we have E = 3 x 10^7 N/C and r = 0.5 m. Plugging these values into the formula and solving for Q:
3 x 10^7 N/C = (9 x 10^9 N m^2/C^2) * (Q / (0.5 m)^2)
Simplifying the equation, we find:
Q = (3 x 10^7 N/C) * (0.5 m)^2 / (9 x 10^9 N m^2/C^2)
Q ≈ 0.0833 C (Coulombs)
Therefore, the magnitude of the charge on sphere A is approximately 0.0833 Coulombs.
3. When sphere E, which has an excess of 105 electrons, is placed at point P, it will experience an electrostatic force due to the interaction with sphere A. The electrostatic force between two charges can be calculated using Coulomb's law:
F = k * (|q1| * |q2|) / r^2
where k is the electrostatic constant, q1 and q2 are the charges on the spheres, and r is the distance between them.
Since each electron carries a charge of approximately -1.6 x 10^-19 C, the excess charge on sphere E is:
q2 = 105 electrons * (-1.6 x 10^-19 C/electron)
Plugging in the values and the given distance of 0.5 m, we have:
F = (9 x 10^9 N m^2/C^2) * (|0.0833 C| * |-1.6 x 10^-19 C|) / (0.5 m)^2
Simplifying the equation, we find:
F ≈ 2.675 x 10^-4 N (Newtons)
Therefore, the electrostatic force experienced by sphere E when placed at point P is approximately 2.675 x 10^-4 Newtons.
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Within the living area of the colony, what atmospheric gases must be present on Venus?
Humans would need a breathable environment like that on Earth in the living section of a colony on Venus in order to survive. Nitrogen, oxygen, and trace amounts of other gases, such as carbon dioxide, make up the majority of the atmosphere on Earth.
What gases are present in Venus' atmosphere?The clouds are made of sulfuric acid, and the atmosphere is primarily carbon dioxide, the same gas that causes the greenhouse effect on Venus and Earth. And the heated, high-pressure carbon dioxide acts corrosively at the surface.
What gases are found in Mars' and Venus' atmospheres?For instance, compared to Earth, which has 99% nitrogen and oxygen in its atmosphere, Venus and Mars both contain more than 98% carbon dioxide and nitrogen.
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A wholesale club sells eggs by the dozen .Does the table show a proportional relationship between the number of dozen of eggs cost?
Answer:
12 dozen
Explanation:
Answer:
The table is proportional.
Explanation:
You would do 21/6 to get 3.5. Then 28/8 to get 3.5. After 35/10 to get 3.5. Finally 49/14 to get 3.5. If each answer (3.5) is the same than it is proportional.
hope i helped
What are the functionsssss of geostationary satellite and non-geostationary satellite?
Answer:
What is the difference between a geostationary satellite and a non-geostationary satellite? Geostationary (GSO) satellites occupy an orbital position 36,000 km above the earth, and remain in a stationary position relative to the Earth itself.
how do Red Ants and squirrels depend on plants
Use Kepler's third law to determine how many days it takes a spacecraft to travel in an elliptical orbit from a point 6 590 km from the Earth's center to the Moon, 385 000 km from the Earth's center.
Answer:
1.363×10^15 seconds
Explanation:
The spaceship travels an elliptical orbit from a point of 6590km from the earth center to the moon and 38500km from the earth center.
To calculate the time taken from Kepler's third Law :
T^2 = ( 4π^2/GMe ) r^3
Where Me is the mass of the earth
r is the average distance travel
G is the universal gravitational constant. = 6.67×10-11 m3 kg-1 s-2
π = 3.14
Me = mass of earth = 5.972×10^24kg
r =( r minimum + r maximum)/2 ......1
rmin = 6590km
rmax = 385000km
From equation 1
r = (6590+385000)/2
r = 391590/2
r = 195795km
From T^2 = ( 4π^2/GMe ) r^3
T^2 = (4 × 3.14^2/ 6.67×10-11 × 5.972×10^24) × 195795^3
= ( 4×9.8596/ 3.983×10^14 ) × 7.5059×10^15
= 39.4384/ 3.983×10^14 ) × 7.5059×10^15
= (9.901×10^14) × 7.5059×10^15
T^2 = 7.4321× 10^30
T =√7.4321× 10^30
T = 2.726×10^15 seconds
The time for one way trip from Earth to the moon is :
∆T = T/2
= 2.726×10^15 /2
= 1.363×10^15 secs
The frictionless system shown is released from rest. After the right-hand mass has risen 75 cm, the object of mass 0.50m falls loose from the system. What is the speed of the right-hand mass when it returns to its original position?
Let \(a\) be the acceleration of the masses. By Newton's second law, we have
• for the masses on the left,
\(1.3mg - T = 1.3ma\)
where \(T\) is the magnitude of tension in the pulley cord, and
• for the mass on the right,
\(T - mg = ma\)
Eliminate \(T\) to get
\((1.3mg - T) + (T - mg) = 1.3ma + ma\)
\(0.3mg = 2.3ma\)
\(\implies a = \dfrac{0.3}{2.3}g \approx 0.13g \approx 1.3 \dfrac{\rm m}{\mathrm s^2}\)
Starting from rest and accelerating uniformly, the right-hand mass moves up 75 cm = 0.75 m and attains an upward velocity \(v\) such that
\(v^2 = 2a(0.75\,\mathrm m) \\\\ \implies v \approx \sqrt{2\left(1.3\frac{\rm m}{\mathrm s^2}\right)(0.75\,\mathrm m)} \approx 1.4\dfrac{\rm m}{\rm s}\)
When the 0.5m mass is released, the new net force equations change to
• for the mass on the right,
\(mg - T' = ma'\)
where \(T'\) and \(a'\) are still tension and acceleration, but not having the same magnitude as before the mass was removed; and
• for the mass on the left,
\(T' - 0.8mg = 0.8ma'\)
Eliminate \(T'\).
\((mg - T') + (T' - 0.8mg) = ma' + 0.8ma'\)
\(0.2mg = 1.8 ma'\)
\(\implies a' = \dfrac{0.2}{1.8}g = \dfrac19 g \approx 1.1\dfrac{\rm m}{\mathrm s^2}\)
Now, the right-hand mass has an initial upward velocity of \(v\), but we're now treating down as the positive direction. As it returns to its starting position, its speed \(v'\) at that point is such that
\({v'}^2 - v^2 = 2a'(0.75\,\mathrm m) \\\\ \implies v' \approx \sqrt{\left(1.4\dfrac{\rm m}{\rm s}\right)^2 + 2\left(1.1\dfrac{\rm m}{\mathrm s^2}\right)(0.75\,\mathrm m)} \approx \boxed{1.9\dfrac{\rm m}{\rm s}}\)
Every exercise regimen should include both a warm-up and a cool down.
Please select the best answer from the choices provided.
Answer:
True
Explanation:
Heather and Jerry are standing on a bridge 46 m
above a river. Heather throws a rock straight down with a speed of 14 m/s
. Jerry, at exactly the same instant of time, throws a rock straight up with the same speed. Ignore air resistance. How much time elapses between the first splash and the second splash?
The time elapsed between the first splash and the second splash is approximately 0.69 seconds.
To calculate this, we consider the motion of two rocks thrown simultaneously from a bridge. Heather throws a rock straight down with a speed of 14 m/s, while Jerry throws a rock straight up with the same speed.
We use the equation for displacement in uniformly accelerated motion: s = ut + (1/2)at^2.
For Heather's rock, which is thrown downwards, the initial velocity (u) is positive and the acceleration (a) due to gravity is negative (-9.8 m/s^2). The displacement (s) is the height of the bridge (46 m).
Solving the equation, we find two possible values for the time (t): t ≈ -4.91 s and t ≈ 1.91 s.
Since time cannot be negative in this context, we discard the negative value and consider t ≈ 1.91 s as the time it takes for Heather's rock to hit the water.
For Jerry's rock, thrown upwards, we use the same equation with the same initial velocity and acceleration. The displacement is also the height of the bridge, but negative.
Solving the equation, we find t ≈ -5.68 s and t ≈ 1.22 s. Again, we discard the negative value and consider t ≈ 1.22 s as the time it takes for Jerry's rock to reach its maximum height before falling back down.
To find the time difference between the first and second splash, we subtract t ≈ 1.91 s (Heather's rock) from t ≈ 1.22 s (Jerry's rock). This gives us a time difference of approximately 0.69 seconds.
Therefore, the time elapsed between the first splash and the second splash is approximately 0.69 seconds.
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An object is attached to a spring scale, which reads 2 N. If the same object were attached to two identical spring scales placed sideby side, what would be the readings on each spring scale?
The readings of the scales will have to add 2N. This comes from the fact that each scale is supporting a part of the weight of the object. Now, if the center of gravity is midway between the two scales the readings will be the same on each spring scale; assuming this is the case the reading on each scale is 1N.
(a) Name a part of the electromagnetic spectrum with:
a longer wavelength than microwaves:
(i)
(ii) greater energy than X-rays:
(iii) a higher frequency than ultraviolet: