# Exam 7 Numbers 1-5

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• 1.

### According to Hooke’s law, the force exerted by a spring on an object is proportional to

• A.

The mass of the object.

• B.

The displacement of the spring.

• C.

The length of the spring.

• D.

The volume of the object.

B. The displacement of the spring.
Explanation
According to Hooke's law, the force exerted by a spring on an object is proportional to the displacement of the spring. This means that the more the spring is stretched or compressed, the greater the force it exerts on the object. The mass of the object, the length of the spring, and the volume of the object are not directly related to the force exerted by the spring. Therefore, the correct answer is the displacement of the spring.

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• 2.

### In any system in simple harmonic motion, the restoring force acting on the mass in the system is proportional to

• A.

Displacement.

• B.

The length of a pendulum.

• C.

The mass.

• D.

Frequency.

A. Displacement.
Explanation
In any system in simple harmonic motion, the restoring force acting on the mass in the system is proportional to the displacement. This means that the force exerted to bring the mass back to its equilibrium position increases as the displacement from the equilibrium position increases. The further the mass is displaced, the stronger the restoring force trying to bring it back to its original position. This relationship is a fundamental characteristic of simple harmonic motion.

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• 3.

### The spring constant in a given oscillating mass-spring may be changed by

• A.

Increasing the mass.

• B.

Decreasing the mass.

• C.

Decreasing the initial displacement.

• D.

D. none of the above d. none of the above none of these answers

D. D. none of the above d. none of the above none of these answers
Explanation
The spring constant in a mass-spring system is determined by the physical properties of the spring itself, such as its material and geometry. It is not affected by the mass of the object attached to the spring or the initial displacement of the system. Therefore, none of the given options can change the spring constant.

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• 4.

### In an oscillating mass-spring system, the velocity of the mass is greatest when the mass is

• A.

At the point of maximum displacement.

• B.

Halfway between the equilibrium point and maximum displacement.

• C.

At the point where acceleration is greatest.

• D.

At the equilibrium point.

D. At the equilibrium point.
Explanation
In an oscillating mass-spring system, the velocity of the mass is greatest when the mass is at the equilibrium point. This is because at the equilibrium point, the spring force is at its maximum, causing the mass to accelerate. As the mass moves away from the equilibrium point, the spring force decreases, leading to a decrease in acceleration and velocity. Therefore, the velocity is greatest when the mass is at the equilibrium point.

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• 5.

### As the swinging bob of a pendulum moves farther from its equilibrium position, the pendulum’s _______________ increases.

• A.

Frequency

• B.

Mass

• C.

Restoring force

• D.

Length

C. Restoring force
Explanation
As the swinging bob of a pendulum moves farther from its equilibrium position, the pendulum's restoring force increases. This is because the restoring force is responsible for pulling the pendulum back towards its equilibrium position. As the pendulum moves farther away, the force required to bring it back to equilibrium becomes stronger, resulting in an increase in the restoring force.

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• Current Version
• Oct 11, 2023
Quiz Edited by
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• Mar 28, 2016
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