Abington Heights High School
Chapter 13 - Practice Quiz 2
Select the answer that best completes the question.
1. A ball hung from a vertical spring oscillates in simple harmonic motion with an angular frequency of 2.6 rad/s and an amplitude of 0.075 m. What is the maximum acceleration of the ball?
A.0.13 m/s2
B.0.20 m/s2
C.0.51 m/s2
D.2.6 m/s2
E.35 m/s2

2. The acceleration of a certain simple harmonic oscillator is given by a = -(15.8 m/s2) cos (2.51t). What is the amplitude of the simple harmonic motion?
A.2.51 m
B.4.41 m
C.6.30 m
D.11.1 m
E.15.8 m

3. A 1.0-kg object is suspended from a spring with k = 16 N/m. The mass is pulled 0.25 m downward from its equilibrium position and allowed to oscillate. What is the maximum kinetic energy of the object?
A.0.25 J
B.0.50 J
C.1.0 J
D.2.0 J
E.4.0 J

4. A spring required a force of 1.0 N to compress it 0.1 m. How much work is required to stretch the spring 0.4 m?
A.0.4 J
B.0.6 J
C.0.8 J
D.2 J
E.4 J

5. A certain spring compressed 0.20 m has 10 J of elastic potential energy . The spring is then cut into two halves and one of the halves is compressed by 0.20 m. How much potential energy is stored in the compressed half of the spring?
A.5 J
B.10 J
C.14 J
D.20 J
E.40 J

6. A 10-kg box is at rest at the end of an unstretched spring with constant k = 4000 N/m. The mass is struck with a hammer giving it a velocity of 6.0 m/s to the right across a frictionless surface. What is the amplitude of the resulting oscillations of this system?

A.0.3 m
B.0.4 m
C.0.5 m
D.0.6 m
E.2 m

7. A 1.0-kg block oscillates with a frequency of 10 Hz at the end of a certain spring. The spring is then cut into two halves. The 1.0-kg block is then made to oscillate at the end of one of the halves. What is the frequency of oscillation of the block?
A.5 Hz
B.10 Hz
C.14 Hz
D.20 Hz
E.40 Hz

8. A 0.2-kg block is held in place by a force F that results in a 0.10-m compression of a spring beneath the block. The spring constant is 100 N/m. Assuming the mass of the spring is negligible compared to that of the block, to what maximum height would the block rise if the force F were removed?

A.0.26 m
B.0.52 m
C.2.5 m
D.5 m
E.10 m

9. A spring with constant k = 40.0 N/m is at the base of a frictionless, 30.0°-inclined plane. A 0.50-kg block is pressed against the spring, compressing it 0.20 m from its equilibrium position. The block is then released. If the block is not attached to the spring, how far along the incline will it travel before it stops?

A.0.080 m
B.0.16 m
C.0.32 m
D.1.6 m
E.3.2 m

10. A ping-pong ball weighs 2.5 x 10-2 N. The ball is placed inside a cup that sits on top of a vertical spring. If the spring is compressed 0.055 m and released, the maximum height above the compressed position that the ball reaches is 2.84 m. Neglect air resistance and determine the spring constant.

A.47 N/m
B.24 N/m
C.11 N/m
D.5.2 N/m
E.2.6 N/m

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