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DENIUS [597]
2 years ago
5

An object on the end of a spring with spring constant k moves in simple harmonic motion with amplitude A and frequency f. Which

of the following is a possible expression for the kinetic energy of the object as a function of time t?
a. kA^2sin^(2πft)
b. 1/2kA^2cos^2(2πft)
c. 1/2kA sin(2πft)
d. kAcos(2πft)
e. 1/2kAsin(2πft)
Physics
1 answer:
KonstantinChe [14]2 years ago
3 0

Answer: option b.

Explanation:

The kinetic energy of a spring with constant K is calculated as:

kinetic energy = (k/2)*x^2

Where x^2 is the displacement of the spring with respect to it's rest position.

This can be written as a function like:

x = A*cos(2*pi*f*t)

where:

A is the amplitude (the maximum distance that the spring can move in each direction)

f is the frequency (and 2*pi*f is the angular frequency)

and t is the variable, it represents the time.

Replacing this in the kinetic energy equation, we get:

kinetic energy = (k/2)*(A*cos(2*pi*f*t))^2

This is the same as the option b: b. 1/2kA^2cos^2(2πft)

Then the corrrect option is b.

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Read 2 more answers
Q11) If you were standing at the top of a building and you dropped a rock.
Dafna1 [17]

Answer:

Part A

The distance travel by the rock is approximately 132.496 m

Part B

The speed when the rock hits the ground is approximately 50.96 m/s

Explanation:

Part A

The question is focused on the kinetics equation of a free falling object

The given parameter is the time it takes the rock to hit the ground, t = 5.2 s

For an object in free fall, we have;

h = 1/2·g·t²

Where;

h = The height from which the object is dropped

g = The acceleration due to gravity ≈ 9.8 m/s²

t = The time taken to travel the distance, h = 5.2 s

∴ h = 1/2 × 9.8 m/s² × (5.2 s)² ≈ 132.496 m

The distance travel by the rock, h ≈ 132.496 m

Part B

The speed, 'v', when the rock hits the ground, is given by the following kinematic equation,

v = g·t

∴ v = 9.8 m/s² × 5.2 s = 50.96 m/s

The speed when the rock hits the ground, v ≈ 50.96 m/s.

8 0
2 years ago
A 0.15 kg ball is moving with a velocity of<br> 35 m/s. Find the momentum of the ball.
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Answer:

<h2>5.25 kg.m/s</h2>

Explanation:

The momentum of an object can be found by using the formula

momentum = mass × velocity

From the question we have

momentum = 0.15 × 35

We have the final answer as

<h3>5.25 kg.m/s</h3>

Hope this helps you

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Answer:

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