7. A roller coaster car passes point 1 with a speed of 9.00 m/s and continues on

Question

7. A roller coaster car passes point 1 with a speed of 9.00 m/s and continues on to point 2
(which is lower than point 1). The change in vertical position between point 1 and point 2 is
32.0 m. What is the speed of the car at point 2? [Ignore friction.]

a) 3.56 m/s b) 7.11 m/s c) 21.6 m/s d) 25.0 m/s e) 26.6 m/s

8. The sound intensity (measured in W/m2
) in the middle of a busy street increases by a factor
of two (i.e., it becomes twice as loud). Which one of the following statements is true?

a) The sound level (in dB) increases by a factor of 2.
b) The sound level (in dB) increases by a factor of 4.
c) The sound level (in dB) increases by two dB.
d) The sound level (in dB) increases by three dB.
e) The sound level (in dB) increases by ten dB.

9. An object moving in simple harmonic motion has an amplitude of 0.020 m and a maximum
acceleration of 40.0 m/s2
. What is the frequency (f) of this oscillating system?

a) 1.01 Hz b) 7.12 Hz c) 29.1 Hz d) 318 Hz


10. Which of the following statements is the definition of simple harmonic motion?
a) The total mechanical energy must be proportional to the amplitude.
b) The maximum velocity must be greater than the maximum acceleration.
c) The frequency must be proportional to the mass.
d) The restoring force must be proportional to the displacement from equilibrium.

11. A mass is attached to a horizontal spring and undergoes simple harmonic motion on a
frictionless surface. Which one of the following statements is correct?
a) The potential energy and the velocity are both maximum at the turning points.
b) The kinetic energy and restoring force are both maximum at the equilibrium point.
c) The restoring force and the acceleration are both maximum at the turning points.
d) The acceleration and potential energy are both maximum at the equilibrium point.

12. A block attached to a horizontal spring undergoes simple harmonic motion. The force
constant of the spring is 180 N/m and the frequency of the oscillations is 3 Hz. What is the
mass of the block?

a) 0.51 kg b) 2.0 kg c) 41 kg d) 60 kg

Explanation / Answer

7. A roller coaster car passes point 1 with a speed of 9.00 m/s and continues on to point 2
(which is lower than point 1). The change in vertical position between point 1 and point 2 is
32.0 m. What is the speed of the car at point 2? [Ignore friction.]

a) 3.56 m/s b) 7.11 m/s c) 21.6 m/s d) 25.0 m/s e) 26.6 m/s

8. The sound intensity (measured in W/m2
) in the middle of a busy street increases by a factor
of two (i.e., it becomes twice as loud). Which one of the following statements is true?

a) The sound level (in dB) increases by a factor of 2.
b) The sound level (in dB) increases by a factor of 4.
c) The sound level (in dB) increases by two dB.
d) The sound level (in dB) increases by three dB.
e) The sound level (in dB) increases by ten dB.

9. An object moving in simple harmonic motion has an amplitude of 0.020 m and a maximum
acceleration of 40.0 m/s2
. What is the frequency (f) of this oscillating system?

a) 1.01 Hz b) 7.12 Hz c) 29.1 Hz d) 318 Hz


10. Which of the following statements is the definition of simple harmonic motion?
a) The total mechanical energy must be proportional to the amplitude.
b) The maximum velocity must be greater than the maximum acceleration.
c) The frequency must be proportional to the mass.
d) The restoring force must be proportional to the displacement from equilibrium.

11. A mass is attached to a horizontal spring and undergoes simple harmonic motion on a
frictionless surface. Which one of the following statements is correct?
a) The potential energy and the velocity are both maximum at the turning points.
b) The kinetic energy and restoring force are both maximum at the equilibrium point.
c) The restoring force and the acceleration are both maximum at the turning points.
d) The acceleration and potential energy are both maximum at the equilibrium point.

12. A block attached to a horizontal spring undergoes simple harmonic motion. The force
constant of the spring is 180 N/m and the frequency of the oscillations is 3 Hz. What is the
mass of the block?

a) 0.51 kg b) 2.0 kg c) 41 kg d) 60 kg

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