Question 1

What is the speed of the block each time the spring is 5.0 cm long?

Accepted Answer

A) zero cm/s 
B) 422 cm/s 
C) 344 cm/s 
D) 220 cm/s 
E) 160 cm/s 
A) zero cm/s 
B) 422 cm/s 
C) 344 cm/s 
D) 220 cm/s 
E) 160 cm/s D

Question 2

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 A

Question 3

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 D

Question 4

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 5

A 0.800-kg block is placed on top of a vertically oriented spring as shown.The block is not attached to the spring, but the spring is attached to the floor.The block oscillates in simple harmonic motion.If the spring constant is 95.0 N/m, determine the amplitude at which the block loses contact with the spring.

Accepted Answer

A) 0.0505 m 
B) 0.0615 m 
C) 0.0735 m 
D) 0.0825 m 
E) 0.0945 m 
A) 0.0505 m 
B) 0.0615 m 
C) 0.0735 m 
D) 0.0825 m 
E) 0.0945 m

Question 6

A cable stretches by an amount d when it supports a crate of mass M.The cable is then cut into three equal pieces.If the same crate is supported by any one of these pieces, by how much will the cable stretch?

Accepted Answer

A) d 
B) d/3 
C) d/6 
D) 3d 
E) 9d 
A) d 
B) d/3 
C) d/6 
D) 3d 
E) 9d

Question 7

The shear modulus of steel is 8.1 × 1010 N/m2.A steel nail of radius 7.5 × 10-4 m projects 0.040 m horizontally outward from a wall.A man hangs a wet raincoat of weight 28.5 N from the end of the nail.Assuming the wall holds its end of the nail, what is the vertical deflection of the other end of the nail?

Accepted Answer

A) 1.8 × 10-3 m 
B) 3.3 × 10-2 m 
C) 7.9 × 10-6 m 
D) 4.2 × 10-4 m 
E) 2.1 × 10-5 m 
A) 1.8 × 10-3 m 
B) 3.3 × 10-2 m 
C) 7.9 × 10-6 m 
D) 4.2 × 10-4 m 
E) 2.1 × 10-5 m

Question 8

A 0.2-kg block is held in place by a force   that results in a 0.10-m compression of a spring beneath the block.The spring constant is 1.0 × 102 N/m.Assuming the mass of the spring is negligible compared to that of the block, to what maximum height would the block rise if the force   were removed.

Accepted Answer

A) 0.26 m 
B) 0.52 m 
C) 2.5 m 
D) 5 m 
E) 10 m 
A) 0.26 m 
B) 0.52 m 
C) 2.5 m 
D) 5 m 
E) 10 m

Question 9

The acceleration of a certain simple harmonic oscillator is given by a = -(15.8 m/s2) cos (2.51t).What is the amplitude of the simple harmonic motion?

Accepted Answer

A) 2.51 m 
B) 4.41 m 
C) 6.30 m 
D) 11.1 m 
E) 15.8 m 
A) 2.51 m 
B) 4.41 m 
C) 6.30 m 
D) 11.1 m 
E) 15.8 m

Question 10

The position of a simple harmonic oscillator is given by   where t is in seconds.What is the period of the oscillator?

Accepted Answer

A) 0.17 s 
B) 0.67 s 
C) 1.5 s 
D) 3.0 s 
E) 6.0 s 
A) 0.17 s 
B) 0.67 s 
C) 1.5 s 
D) 3.0 s 
E) 6.0 s

Question 11

10-1
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 12

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 13

Which one of the following statements is true concerning an object executing simple harmonic motion?

Accepted Answer

A) The object's velocity is never zero. 
B) The object's acceleration is never zero. 
C) The object's velocity and acceleration are simultaneously zero. 
D) The object's velocity is zero when its acceleration is a maximum. 
E) The object's maximum acceleration is equal to its maximum velocity. 
A) The object's velocity is never zero. 
B) The object's acceleration is never zero. 
C) The object's velocity and acceleration are simultaneously zero. 
D) The object's velocity is zero when its acceleration is a maximum. 
E) The object's maximum acceleration is equal to its maximum velocity.

Question 14

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 15

An iron ball hangs from a 21.5-m steel cable and is used in the demolition of a building at a location where the acceleration due to gravity is 9.78 m/s2.The ball is swung outward from its equilibrium position for a distance of 4.20 m.Assuming the system behaves as a simple pendulum, find the maximum speed of the ball during its swing.

Accepted Answer

A) 4.45 m/s 
B) 2.83 m/s 
C) 17.8 m/s 
D) 1.71 m/s 
E) 9.78 m/s 
A) 4.45 m/s 
B) 2.83 m/s 
C) 17.8 m/s 
D) 1.71 m/s 
E) 9.78 m/s

Question 16

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 17

A cylinder with a diameter of 0.240 m is placed between the plates of a hydraulic press as illustrated in the drawing.A 4.45 × 105-N force is applied to the cylinder.What is the pressure on the end of the cylinder due to the applied force?

Accepted Answer

A) 9.84 × 106 Pa 
B) 3.13 × 105 Pa 
C) 6.18 × 106 Pa 
D) 5.34 × 105 Pa 
E) 4.92 × 106 Pa 
A) 9.84 × 106 Pa 
B) 3.13 × 105 Pa 
C) 6.18 × 106 Pa 
D) 5.34 × 105 Pa 
E) 4.92 × 106 Pa

Question 18

The radius of a sphere of lead (B = 4.2 × 1010 N/m2) is 1.000 m on the surface of the earth where the pressure is 1.01 × 105 N/m2.The sphere is taken by submarine to the deepest part of the ocean to a depth of 1.10 × 104 m where it is exposed to a pressure is 1.25 × 108 N/m2.What is the volume of the sphere at the bottom of the ocean?

Accepted Answer

A) 4.176 m3 
B) 3.189 m3 
C) 2.251 m3 
D) 1.134 m3 
E) 0.988 m3 
A) 4.176 m3 
B) 3.189 m3 
C) 2.251 m3 
D) 1.134 m3 
E) 0.988 m3

Question 19

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 20

Complete the following statement: In order to increase the frequency of the motion, one would have to

Accepted Answer

A) reduce the spring constant. 
B) decrease the mass of the block on the end of the spring. 
C) increase the length of the spring. 
D) reduce the distance that the spring is initially stretched. 
E) increase the distance that the spring is initially stretched. 
A) reduce the spring constant. 
B) decrease the mass of the block on the end of the spring. 
C) increase the length of the spring. 
D) reduce the distance that the spring is initially stretched. 
E) increase the distance that the spring is initially stretched.

Exam 10: Simple Harmonic Motion and Elasticity

What is the speed of the block each time the spring is 5.0 cm long?

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 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?

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 cable stretches by an amount d when it supports a crate of mass M.The cable is then cut into three equal pieces.If the same crate is supported by any one of these pieces, by how much will the cable stretch?

A 0.2-kg block is held in place by a force that results in a 0.10-m compression of a spring beneath the block.The spring constant is 1.0 × 102 N/m.Assuming the mass of the spring is negligible compared to that of the block, to what maximum height would the block rise if the force were removed.

The acceleration of a certain simple harmonic oscillator is given by a = -(15.8 m/s2) cos (2.51t).What is the amplitude of the simple harmonic motion?

The position of a simple harmonic oscillator is given by where t is in seconds.What is the period of the oscillator?

10-1 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 statement: In general, the term stress refers to

Which one of the following statements is true concerning an object executing simple harmonic motion?

What is the maximum acceleration of the block?

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 cylinder with a diameter of 0.240 m is placed between the plates of a hydraulic press as illustrated in the drawing.A 4.45 × 105-N force is applied to the cylinder.What is the pressure on the end of the cylinder due to the applied force?

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?

Complete the following statement: In order to increase the frequency of the motion, one would have to

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 Reflection 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 0.2-kg block is held in place by a force that results in a 0.10-m compression of a spring beneath the block.The spring constant is 1.0 × 10² N/m.Assuming the mass of the spring is negligible compared to that of the block, to what maximum height would the block rise if the force were removed.

The acceleration of a certain simple harmonic oscillator is given by a = -(15.8 m/s²) cos (2.51t).What is the amplitude of the simple harmonic motion?

A cylinder with a diameter of 0.240 m is placed between the plates of a hydraulic press as illustrated in the drawing.A 4.45 × 10⁵-N force is applied to the cylinder.What is the pressure on the end of the cylinder due to the applied force?