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Date: Instructor: Ruth Larson Student Name/ID#: Total Score: / 15 APPLE VALLEY HIGH SCHOOL - AP® PHYSICS 1: 5096 31 AP® PHYSICS 1, 5096 33 AP® PHYSICS 1, 5096 35 AP® PHYSICS 1
W1L2 - SHM Test
/ QUESTION 1 A pendulum consisting of a sphere suspended from a light string is oscillating with a small angle with respect to the vertical. The sphere is then replaced with a new sphere of the same size but greater density and is set into oscillation with the same angle. How do the period, maximum kinetic energy, and maximum acceleration of the new pendulum compare to those of the original pendulum? A B C D / QUESTION 2 Two blocks are connected to identical ideal springs and are oscillating on a horizontal frictionless surface. Block A has mass m, and its motion is represented by the graph of position as a function of time shown above on the left. Block B’s motion is represented above on the right. Which of the following statements comparing block B to block A is correct? Because block B has more mass, its acceleration is smaller than that of block A at any given displacement from the equilibrium position.
A
Because the spring attached to block B is initially stretched a greater distance, the spring constant is smaller and therefore block B has a slower average speed than block A does.
B
Because block B has more mass, it has a slower average speed than block A does.
C
Because block B covers more distance per cycle than block A, block B takes more time to complete each cycle.
D
Simple Harmonic Motion FIX ITS are worth 1 point each. You only need to “fix” problems you got
wrong on the test. To earn points you must provide not only the correct answer, but complete work/
rationale for the correct answer. Remember your goal is to convince me (and yourself) that you’ll
never get a problem like that wrong again. An oral explanation may necessary in some cases.
/ QUESTION 3 A block on a level surface is attached to one end of a spring, as shown in the figure above. The other end of the spring is attached to a wall. There is friction between the block and the surface. A person displaces the block from its equilibrium position and releases it. Which of the following shows the mechanical energy E as a function of time t for the system that includes only the block and the system that includes the block and spring? A B C (^) D / QUESTION 4
/ QUESTION 6 An object is in simple harmonic motion. Of the following quantities related to the object, which set of three can have maximum magnitudes at the same instant of time? Displacement, acceleration, potential energy
A
B Velocity, acceleration, kinetic energy C Displacement, velocity, acceleration D Displacement, velocity, kinetic energy / QUESTION 7 The graph represents the potential energy U as a function of displacement x for an object on the end of a spring oscillating in simple harmonic motion with amplitude x. Which of the following graphs represents the kinetic energy K of the object as a function of displacement x? o A B C (^) D / QUESTION 8
An object with mass m is suspended at rest from a spring with a spring constant of 200 N/m. The length of the spring is 5. cm longer than its unstretched length L, as shown above. A person then exerts a force on the object and stretches the spring an additional 5.0 cm. What is the total energy stored in the spring at the new stretched length? A 1.0J B .25J C 10J D 20J / QUESTION 9 A simple pendulum is used to determine the acceleration due to gravity at the surface of a planet. The pendulum has a length of 2m and its period is measured to be 2s. The value of g obtained in this investigation is most nearly A 5 m/s^2 B 20 m/s^2 C 2 m/s^2 D 10 m/s^2 / QUESTION 10 An object of mass m attached to a spring with constant k oscillates with amplitude A. Assuming air resistance and the mass of the spring to be negligible, which of the following changes alone would cause the period of this oscillation to increase? A Increasing m only Increasing A or using a spring with a greater k only
B
Increasing m or using a spring with a greater k only
C
D Increasing A only / QUESTION 11
A simple pendulum consisting of a small object of mass m attached to a string of length l has a period T. A pendulum with which of the following combinations of object mass and string length will also have period T? A B C
D
/ QUESTION 14 A student attaches a block to a horizontal spring so that the block-spring system will oscillate if the block-spring system released from rest at a horizontal position that is not the system’s equilibrium position. The student creates a graph of the block-spring system’s kinetic energy as a function of time, as shown. The spring potential energy of the block-spring system at 5.0s is most nearly A 1.0J B 0.0J C .27J D .73J / QUESTION 15
SHM short FRQ. 7 points. 14 minutes. Name:_____________________________
This question is a short free-response question. Show your work for each part of the question.
A block of mass .4 kg on a horizontal surface is
attached to a horizontal spring of negligible mass.
The other end of the spring is attached to a wall,
and there is negligible friction between the block
and the horizontal surface. The center of mass of
the block is stretched a horizontal distance x =
.25m beyond its equilibrium position and released
from rest such that the block-spring system
undergoes simple harmonic motion. A graph of
the spring potential energy of the block-spring
system as a function of the horizontal position of
the center of mass of the block is shown. The
positive direction is considered to be to the right.
(a) On the grid below, sketch a graph of the force exerted by the spring on the block as a function of the
block’s horizontal position.
(b) Calculate the period of oscillation for the block-spring system.
