Question 1

Complete the following statement: In general, the term stress refers to

Accepted Answer

A) a change in volume. 
B) a change in length. 
C) a force per unit area. 
D) a fractional change in length. 
E) a force per unit length. 
A) a change in volume. 
B) a change in length. 
C) a force per unit area. 
D) a fractional change in length. 
E) a force per unit length.

Question 2

A simple pendulum on earth has a period of 6.0 s. What is the approximate period of this pendulum on the moon where the acceleration due to gravity is roughly 1/6 that of earth?

Accepted Answer

A) 1.0 s 
B) 2.4 s 
C) 6.0 s 
D) 15 s 
E) 36 s 
A) 1.0 s 
B) 2.4 s 
C) 6.0 s 
D) 15 s 
E) 36 s

Question 3

A plastic box has an initial volume of 3.50 mS1U1P13S1S1P0. It is then submerged below the surface of a liquid and its volume decreases to 3.48 mS1U1P13S1S1P0.
-Complete the following statement: In order to calculate the "stress" on the box, in addition to the information given, one must also know

Accepted Answer

A) the mass of the box. 
B) the bulk modulus of the material from which the box is made. 
C) the shear modulus of the material from which the box is made. 
D) the Young's modulus of the material from which the box is made. 
E) the bulk modulus of the liquid. 
A) the mass of the box. 
B) the bulk modulus of the material from which the box is made. 
C) the shear modulus of the material from which the box is made. 
D) the Young's modulus of the material from which the box is made. 
E) the bulk modulus of the liquid.

Question 4

The velocity of a certain simple harmonic oscillator is given by v = -(12 m/s) sin [(6.0 rad/s) t]. What is the amplitude of the simple harmonic motion?

Accepted Answer

A) 2.0 m 
B) 4.0 m 
C) 6.0 m 
D) 8.0 m 
E) 12 m 
A) 2.0 m 
B) 4.0 m 
C) 6.0 m 
D) 8.0 m 
E) 12 m

Question 5

When a 0.20-kg block is suspended from a vertically hanging spring, it stretches the spring from its original length of 0.040 m to 0.045 m. The same block is attached to the same spring and placed on a horizontal, frictionless surface as shown. The block is then pulled so that the spring stretches to a total length of 0.15 m. The block is released at time t = 0 s and undergoes simple harmonic motion.  
-Which one of the following statements is true concerning the motion of the block?

Accepted Answer

A) Its acceleration is constant. 
B) The period of its motion depends on its amplitude. 
C) Its acceleration is greatest when the spring returns to the 5.0 cm position. 
D) Its velocity is greatest when the mass has reached its maximum displacement. 
E) Its acceleration is greatest when the mass has reached its maximum displacement. 
A) Its acceleration is constant. 
B) The period of its motion depends on its amplitude. 
C) Its acceleration is greatest when the spring returns to the 5.0 cm position. 
D) Its velocity is greatest when the mass has reached its maximum displacement. 
E) Its acceleration is greatest when the mass has reached its maximum displacement.

Question 6

A spring with a spring constant k = 1600 N/m is at rest on the bottom of an inclined plane. A 7.0-kg block slides down the plane and makes contact with the spring at point A as shown. After contact, the spring is compressed to point B, 0.20 m from point A, where the speed of the block is zero m/s. What was the speed of the block just before contact with the spring?

Accepted Answer

A) 3.2 m/s 
B) 12 m/s 
C) 2.4 m/s 
D) 9.1 m/s 
E) 4.2 m/s 
A) 3.2 m/s 
B) 12 m/s 
C) 2.4 m/s 
D) 9.1 m/s 
E) 4.2 m/s

Question 7

When a 0.20-kg block is suspended from a vertically hanging spring, it stretches the spring from its original length of 0.040 m to 0.045 m. The same block is attached to the same spring and placed on a horizontal, frictionless surface as shown. The block is then pulled so that the spring stretches to a total length of 0.15 m. The block is released at time t = 0 s and undergoes simple harmonic motion.  
-What is the maximum acceleration of the block?

Accepted Answer

A) 1.6 m/s2 
B) 3.1 m/s2 
C) 49 m/s2 
D) 98 m/s2 
E) 290 m/s2 
A) 1.6 m/s2 
B) 3.1 m/s2 
C) 49 m/s2 
D) 98 m/s2 
E) 290 m/s2

Question 8

A spring with constant k = 78 N/m is at the base of a frictionless, 30.0°-inclined plane. A 0.50-kg block is pressed against the spring, compressing it 0.20 m from its equilibrium position. The block is then released. If the block is not attached to the spring, how far up the incline will it travel before it stops?

Accepted Answer

A) 0.080 m 
B) 0.16 m 
C) 0.32 m 
D) 0.64 m 
E) 1.1 m 
A) 0.080 m 
B) 0.16 m 
C) 0.32 m 
D) 0.64 m 
E) 1.1 m

Question 9

A plastic box has an initial volume of 3.50 mS1U1P13S1S1P0. It is then submerged below the surface of a liquid and its volume decreases to 3.48 mS1U1P13S1S1P0.
-What is the volume strain on the box?

Accepted Answer

A) 0.0020 
B) 0.0057 
C) 0.0084 
D) 0.018 
E) 0.022 
A) 0.0020 
B) 0.0057 
C) 0.0084 
D) 0.018 
E) 0.022

Question 10

A 1.0-kg block oscillates with a frequency of 10 Hz at the end of a certain spring. The spring is then cut into two halves. The 1.0-kg block is then made to oscillate at the end of one of the halves. What is the frequency of oscillation of the block?

Accepted Answer

A) 5 Hz 
B) 10 Hz 
C) 14 Hz 
D) 20 Hz 
E) 40 Hz 
A) 5 Hz 
B) 10 Hz 
C) 14 Hz 
D) 20 Hz 
E) 40 Hz

Question 11

A 25-coil spring with a spring constant of 275 N/m is cut into five equal springs with five coils each. What is the spring constant of each of the 5-coil springs?

Accepted Answer

A) 55 N/m 
B) 275 N/m 
C) 950 N/m 
D) 1375 N/m 
E) 1750 N/m 
A) 55 N/m 
B) 275 N/m 
C) 950 N/m 
D) 1375 N/m 
E) 1750 N/m

Question 12

Which one of the following terms is used to describe a system in which the degree of damping is just enough to stop the system from oscillating?

Accepted Answer

A) critically damped 
B) underdamped 
C) slightly damped 
D) overdamped 
E) resonance 
A) critically damped 
B) underdamped 
C) slightly damped 
D) overdamped 
E) resonance

Question 13

A simple harmonic oscillator with a period of 2.0 s is subject to damping so that it loses one percent of its amplitude per cycle. About how much energy does this oscillator lose per cycle?

Accepted Answer

A) 0.5 % 
B) 1.0 % 
C) 2.0 % 
D) 3.0 % 
E) 4.0 % 
A) 0.5 % 
B) 1.0 % 
C) 2.0 % 
D) 3.0 % 
E) 4.0 %

Question 14

A cable stretches by an amount d when it supports a crate of mass M. The cable is replaced by another cable of the same material having the same length and twice the diameter. What is the mass of the load that can be supported by the thicker cable if it stretches by an amount d?

Accepted Answer

A) M/4 
B) M/2 
C) M 
D) 2M 
E) 4M 
A) M/4 
B) M/2 
C) M 
D) 2M 
E) 4M

Question 15

A relaxed spring protrudes from an opening 0.0500 meters as shown in Figure A.
A 1.00-kg block is found to just force the spring completely into the opening as shown in Figure B.  
-How much potential energy is stored in the spring in Figure B?

Accepted Answer

A) 0.245 J 
B) 0.490 J 
C) 4.90 J 
D) 9.80 J 
E) zero J 
A) 0.245 J 
B) 0.490 J 
C) 4.90 J 
D) 9.80 J 
E) zero J

Question 16

Complete the following sentence: Resonance occurs in harmonic motion when

Accepted Answer

A) the system is overdamped. 
B) the system is critically damped. 
C) the energy in the system is a minimum. 
D) the driving frequency is the same as the natural frequency of the system. 
E) the energy in the system is proportional to the square of the motion's amplitude. 
A) the system is overdamped. 
B) the system is critically damped. 
C) the energy in the system is a minimum. 
D) the driving frequency is the same as the natural frequency of the system. 
E) the energy in the system is proportional to the square of the motion's amplitude.

Question 17

A spring required a force of 5.0 N to compress it 0.1 m. How much work is required to stretch the spring 0.4 m?

Accepted Answer

A) 0.4 J 
B) 0.6 J 
C) 0.8 J 
D) 2 J 
E) 4 J 
A) 0.4 J 
B) 0.6 J 
C) 0.8 J 
D) 2 J 
E) 4 J

Question 18

In a certain clock, a pendulum of length L1 has a period T1 = 0.95 s. The length of the pendulum is adjusted to a new value L2 such that T2 = 1.0 s. What is the ratio L2/L1?

Accepted Answer

A) 0.90 
B) 0.95 
C) 1.0 
D) 1.1 
E) 1.3 
A) 0.90 
B) 0.95 
C) 1.0 
D) 1.1 
E) 1.3

Question 19

A cable stretches by an amount d when it supports a crate of mass M. The cable is replaced by another cable of the same material having the same length and twice the diameter. If the same crate is supported by the thicker cable, by how much will the cable stretch?

Accepted Answer

A) d/4 
B) d/2 
C) d 
D) 2d 
E) 4d 
A) d/4 
B) d/2 
C) d 
D) 2d 
E) 4d

Question 20

A ping-pong ball weighs 0.025 N. The ball is placed inside a cup that sits on top of a vertical spring. If the spring is compressed 0.055 m and released, the maximum height above the compressed position that the ball reaches is 2.84 m. Neglect air resistance and determine the spring constant.

Accepted Answer

A) 47 N/m 
B) 24 N/m 
C) 11 N/m 
D) 5.2 N/m 
E) 2.6 N/m 
A) 47 N/m 
B) 24 N/m 
C) 11 N/m 
D) 5.2 N/m 
E) 2.6 N/m

Exam 10: Simple Harmonic Motion and Elasticity

Complete the following statement: In general, the term stress refers to

A simple pendulum on earth has a period of 6.0 s. What is the approximate period of this pendulum on the moon where the acceleration due to gravity is roughly 1/6 that of earth?

A plastic box has an initial volume of 3.50 m3. It is then submerged below the surface of a liquid and its volume decreases to 3.48 m3. -Complete the following statement: In order to calculate the "stress" on the box, in addition to the information given, one must also know

The velocity of a certain simple harmonic oscillator is given by v = -(12 m/s) sin [(6.0 rad/s) t]. What is the amplitude of the simple harmonic motion?

A plastic box has an initial volume of 3.50 m3. It is then submerged below the surface of a liquid and its volume decreases to 3.48 m3. -What is the volume strain on the box?

A 1.0-kg block oscillates with a frequency of 10 Hz at the end of a certain spring. The spring is then cut into two halves. The 1.0-kg block is then made to oscillate at the end of one of the halves. What is the frequency of oscillation of the block?

A 25-coil spring with a spring constant of 275 N/m is cut into five equal springs with five coils each. What is the spring constant of each of the 5-coil springs?

Which one of the following terms is used to describe a system in which the degree of damping is just enough to stop the system from oscillating?

A simple harmonic oscillator with a period of 2.0 s is subject to damping so that it loses one percent of its amplitude per cycle. About how much energy does this oscillator lose per cycle?

A cable stretches by an amount d when it supports a crate of mass M. The cable is replaced by another cable of the same material having the same length and twice the diameter. What is the mass of the load that can be supported by the thicker cable if it stretches by an amount d?

A relaxed spring protrudes from an opening 0.0500 meters as shown in Figure A. A 1.00-kg block is found to just force the spring completely into the opening as shown in Figure B. -How much potential energy is stored in the spring in Figure B?

Complete the following sentence: Resonance occurs in harmonic motion when

A spring required a force of 5.0 N to compress it 0.1 m. How much work is required to stretch the spring 0.4 m?

In a certain clock, a pendulum of length L1 has a period T1 = 0.95 s. The length of the pendulum is adjusted to a new value L2 such that T2 = 1.0 s. What is the ratio L2/L1?

A cable stretches by an amount d when it supports a crate of mass M. The cable is replaced by another cable of the same material having the same length and twice the diameter. If the same crate is supported by the thicker cable, by how much will the cable stretch?

A ping-pong ball weighs 0.025 N. The ball is placed inside a cup that sits on top of a vertical spring. If the spring is compressed 0.055 m and released, the maximum height above the compressed position that the ball reaches is 2.84 m. Neglect air resistance and determine the spring constant.

Introduction and Mathematical Concepts

Kinematics in One Dimension

Kinematics in Two Dimensions

Forces and Newtons Laws of Motion

Dynamics of Uniform Circular Motion

Work and Energy

Impulse and Momentum

Rotational Kinematics

Rotational Dynamics

Fluids

Temperature and Heat

The Transfer of Heat

The Ideal Gas Law and Kinetic Theory

Thermodynamics

Waves and Sound

The Principle of Linear Superposition and Interference Phenomena

Electric Forces and Electric Fields

Electric Potential Energy and the Electric Potential

Electric Circuits

Magnetic Forces and Magnetic Fields

Electromagnetic Induction

Alternating Current Circuits

Electromagnetic Waves

The Refl Ection of Light: Mirrors

The Refraction of Light: Lenses and Optical Instruments

Interference and the Wave Nature of Light

Special Relativity

Particles and Waves

The Nature of the Atom

Nuclear Physics and Radioactivity

Ionizing Radiation, Nuclear Energy, and Elementary Particles

Filters

A plastic box has an initial volume of 3.50 m³. It is then submerged below the surface of a liquid and its volume decreases to 3.48 m³. -Complete the following statement: In order to calculate the "stress" on the box, in addition to the information given, one must also know

A plastic box has an initial volume of 3.50 m³. It is then submerged below the surface of a liquid and its volume decreases to 3.48 m³. -What is the volume strain on the box?

In a certain clock, a pendulum of length L₁ has a period T₁ = 0.95 s. The length of the pendulum is adjusted to a new value L₂ such that T₂ = 1.0 s. What is the ratio L₂/L₁?