AP Physics Unit 7 Progress Check MSQs Answers

AP Physics Unit 7 Progress Check provides answers to multiple-choice questions focused on oscillations and simple harmonic motion. This resource is essential for AP Physics students preparing for exams, covering key concepts such as spring constants, maximum speed, and energy conservation in oscillatory systems. The document includes detailed explanations for each answer, making it a valuable study aid for mastering the principles of physics. Ideal for high school students and educators looking to enhance their understanding of unit 7 topics.

Key Points

Includes answers to multiple-choice questions on oscillations and springs.
Covers concepts like spring constants, energy conservation, and maximum speed.
Provides detailed explanations for each answer to aid understanding.
Essential resource for AP Physics students preparing for exams.

341

A platform of mass rests on a vertical spring with spring constant , as shown on the left. The

equilibrium length of the spring is

. A ball of clay of mass is then placed on the platform and the system

is allowed to come to rest, as shown on the right. The new equilibrium length of the spring is

. What is the

difference

between the equilibrium lengths of the spring?

(A)

(B)

(C)

(D)

Answer A

Correct. The difference between the left and right figures is the presence of the ball of clay. In the left

figure, the spring must exert an additional upward force equal to the weight of the clay to reach

equilibrium. Because the force exerted by the spring is proportional to the amount of compression of the

spring,

, the difference in lengths can be found.

A block of mass

oscillates on a spring with frequency . Which of the following expressions is equal to the

spring constant of the spring?

(A)

(B)

(C)

(D)

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Answer D

Correct. The period of oscillation of an object on an spring is

. The frequency is related to

the period by

. Combining these and solving for yields .

A block is attached to a horizontal spring. The block is held so the spring is stretched and the block is released from

rest, undergoing simple harmonic motion with a frequency of

. How long after release will the block first

reach a point where it is momentarilly at rest?

(A)

(B)

(C)

(D)

Answer A

Correct. The block will reach its maximum displacement from its initial position after completing half of

a complete oscillation. The frequency is

which means the period (the time for one complete

oscillation) is , using the relationship . Half of a complete cycle is .

An object with mass

attached to a horizontal spring with spring constant undergoes simple harmonic motion

with amplitude and period . Which of the following expressions is equal to the maximum speed of the block?

(A)

(B)

(C)

(D)

Answer B

Correct. The total mechanical energy of the spring-block system is defined as . When

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the speed of the block is at its maximum value, the kinetic energy of the block will equal the total

mechanical energy because the spring potential energy will be zero. Setting the kinetic energy of the

block equal to the total mechanical energy yields:

A block attached to a spring is held at position and released. The block then undergoes simple harmonic

motion along the -axis. The force exerted on the block by the spring as a function of the block’s position is

represented by the graph. Which of the following positions, if any, corresponds to the equilibrium position of the

spring-block system?

(A)

(B)

(C)

(D) There is no equilibrium position because the force is nonzero at .

Answer B

Correct. The equilibrium position is defined as the position where the net force exerted on the block by

the spring is zero. The graph indicates that the force is zero at position

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FAQs of AP Physics Unit 7 Progress Check MSQs Answers

What topics are covered in the AP Physics Unit 7 Progress Check?

The AP Physics Unit 7 Progress Check covers key topics related to oscillations and simple harmonic motion. Specific areas include the behavior of springs, the relationship between mass and spring constant, and energy transformations in oscillatory systems. Students will find questions related to maximum speed, equilibrium positions, and the effects of amplitude on motion. This comprehensive review is designed to reinforce understanding of these fundamental physics concepts.

How does the spring constant affect the motion of a block?

The spring constant is a measure of a spring's stiffness and directly influences the motion of a block attached to it. A higher spring constant results in a stiffer spring, which leads to a greater restoring force for a given displacement. This means the block will oscillate with a higher frequency and shorter period. Conversely, a lower spring constant results in a softer spring, allowing for slower oscillations and longer periods. Understanding this relationship is crucial for analyzing systems in simple harmonic motion.

What is the significance of maximum speed in simple harmonic motion?

Maximum speed in simple harmonic motion occurs as the object passes through the equilibrium position. At this point, all the potential energy stored in the spring is converted into kinetic energy, resulting in the highest velocity. This concept is essential for understanding energy conservation in oscillatory systems. The maximum speed can be calculated using the amplitude of the motion and the spring constant, illustrating the relationship between these variables.

How does amplitude affect the energy in a spring-block system?

In a spring-block system, the amplitude of oscillation directly affects the total mechanical energy. The potential energy stored in the spring at maximum displacement is proportional to the square of the amplitude. Therefore, increasing the amplitude results in a higher potential energy, which translates to greater kinetic energy at the equilibrium position. This relationship is fundamental in analyzing the energy dynamics of oscillatory motion.

AP Physics Unit 7 Progress Check MSQs Answers

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