Chapter 10 Concept Questions

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What is the value of the spring constant of a spring that is stretched a distance of 0.5 m if the restoring force is 24 N?

48 N/m

Which one of the following statements concerning simple harmonic motion is false?

A restoring force acts on an object in simple harmonic motion that is directed in the same direction as the object's displacement.

Which one of the following statements concerning Hooke's law is false?

Hooke's law is valid only for springs.

A simple pendulum consists of a ball of mass m suspended from the ceiling using a string of length L. The ball is displaced from its equilibrium position by a small angle theta and released. Which one of the following statements concerning this situation is correct?

If the length of the pendulum were increased, the angular frequency of the pendulum would decrease.

A ball of mass m is attached to the end of a spring that has a spring constant k. When the ball is displaced from its equilibrium position and released, it moves in simple harmonic motion. Consider the relationship between the angular frequency, the mass, and the spring constant given in the text. Which one of the following statements concerning that relationship is true?

Increasing the spring constant causes the angular frequency to increase.

Which one of the following statements concerning the elastic potential energy of a ball attached to a spring is true when the ball is moving in simple harmonic motion?

The elastic potential energy is at its minimum when the spring is in its equilibrium position.

An object than obeys Hooke's Law is displaced a distance x by a net force F. What statement describes the resulting acceleration of the object?

The magnitude of the acceleration increases as x increases and it decreases as x decreases.

A block is hung vertically at the end of a spring. When the block is displaced and released, it moves in simple harmonic motion. Which one of the following statements is true concerning the block?

The maximum acceleration of the block occurs when its velocity is zero.

An object is in simple harmonic motion. The rate at which the object oscillates may be described using the period T, the frequency f, and the angular frequency w. If the angular frequency decreases, what is the effect on the period and the frequency?

The period would increase, and the frequency would decrease.

A block is attached to the end of a spring. The block is then displaced from its equilibrium position and released. Subsequently, the block moves back and forth on a frictionless surface without any losses due to friction. Which one of the following statements concerning the total mechanical energy of the block-spring system this situation is true?

The total mechanical energy is constant as the block moves back and forth.

Consider the graph shown for the position of a ball attached to a spring as it oscillates in simple harmonic motion. At which of the following times is the ball at its equilibrium position?

at0s,4s,and8s

A block on a frictionless surface is attached to a horizontal spring that is stretched and released. Complete the following statement: The work done by the spring on the block

depends on the distance the spring is stretched from its relaxed position.

which one of the following units is used for frequency?

hertz

A simple pendulum consists of a ball of mass m suspended from the ceiling using a string of length L. The ball is displaced from its equilibrium position by an angle and released. What is the magnitude of the restoring force that moves the ball toward its equilibrium position and produces simple harmonic motion?

mg (sin theta)

An object in simple harmonic motion is observed to move between a maximum position and a minimum position. The minimum time that elapses between the object being at its maximum position and when it returns to that maximum position is equal to which of the following parameters?

period

A ball is attached to a vertical spring. The ball is initially supported at a height y so that the spring is neither stretched nor compressed. The ball is then released from rest and it falls to a height y h before moving upward. Consider the following quantities: translational kinetic energy, gravitational potential energy, elastic potential energy. When the ball was at a height y (h/2), which of the listed quantities has values other than zero joules?

translational kinetic, gravitational potential, and elastic potential energies

Under which one of the following conditions does the motion of a simple pendulum approximate simple harmonic motion?

when the pendulum swings through a small angle


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