Question 1

A 100 N picture hangs from a nail in the wall.The diameter of the nail is 3.00 mm.The shear stress on the nail is

Accepted Answer

A)  1.98 $\times$ 107 N/m2. 
B)  1.86 $\times$ 107 N/m2. 
C)  1.62 $\times$ 107 N/m2. 
D)  1.41 $\times$ 107 N/m2. 
E)  1.34 $\times$ 107 N/m2. 
A)  1.98 $\times$ 107 N/m2. 
B)  1.86 $\times$ 107 N/m2. 
C)  1.62 $\times$ 107 N/m2. 
D)  1.41 $\times$ 107 N/m2. 
E)  1.34 $\times$ 107 N/m2.

Question 2

A 3.0 kg mass is connected to a spring with a spring constant of 6.0 N/m.The velocity is given by the expression v(t) = 10.0 cm/s sin($\omega$ t).What is the maximum velocity of the simple harmonic motion?

Accepted Answer

A)  10 cm/s 
B)  14 cm/s 
C)  17 cm/s 
D)  20 cm/s 
E)  25 cm/s 
A)  10 cm/s 
B)  14 cm/s 
C)  17 cm/s 
D)  20 cm/s 
E)  25 cm/s

Question 3

A rod with a diameter of 2.00 mm projects 20.0 mm horizontally outward from a wall.A 2.00 N coat is hung from the end of the rod and the rod deflects downward by 4.00 $\times$ 10-6 m.The shear stress of the rod is

Accepted Answer

A)  2.78 $\times$ 106 N/m2. 
B)  3.37 $\times$ 106 N/m2. 
C)  4.73 $\times$ 106 N/m2. 
D)  5.34 $\times$ 106 N/m2. 
E)  6.37 $\times$ 106 N/m2. 
A)  2.78 $\times$ 106 N/m2. 
B)  3.37 $\times$ 106 N/m2. 
C)  4.73 $\times$ 106 N/m2. 
D)  5.34 $\times$ 106 N/m2. 
E)  6.37 $\times$ 106 N/m2.

Question 4

When the position of a simple harmonic oscillator is equal to A/2,where A is the amplitude,the kinetic energy is:

Accepted Answer

A)  (3/4)kA2 
B)  (1/4)kA2 
C)  (3/8)kA2 
D)  (1/8)kA2 
E)  (1/2)kA2 
A)  (3/4)kA2 
B)  (1/4)kA2 
C)  (3/8)kA2 
D)  (1/8)kA2 
E)  (1/2)kA2

Question 5

An astronaut measures her mass by means of a device consisting of a chair attached to a large spring.The period of oscillation she undergoes when set into motion is used to determine her mass.If the spring constant is 1250 N/m and 27 seconds is required for her to undergo 10 full oscillations what is the mass of the astronaut and chair?

Accepted Answer

A)  231 kg 
B)  537 kg 
C)  85.5 kg 
D)  171 kg 
A)  231 kg 
B)  537 kg 
C)  85.5 kg 
D)  171 kg

Question 6

A disk is suspended by a nail such that it pivots in a vertical plane about a point on the edge of the disk.If the disk's radius is 25 cm,what is the period of oscillation?

Accepted Answer

A)  0.71 s 
B)  Need the mass of the disk to calculate the period. 
C)  1.2 s 
D)  1.51 s 
A)  0.71 s 
B)  Need the mass of the disk to calculate the period. 
C)  1.2 s 
D)  1.51 s

Question 7

An aluminum ball is subjected to a pressure of 7.00 $\times$ 106 Pa.The bulk strain is 1.0 $\times$ 10-4.What is the bulk modulus?

Accepted Answer

A)  5.8 $\times$ 1010 N/m2 
B)  6.1 $\times$ 1010 N/m2 
C)  6.3 $\times$ 1010 N/m2 
D)  7.0 $\times$ 1010 N/m2 
E)  8.1 $\times$ 1010 N/m2 
A)  5.8 $\times$ 1010 N/m2 
B)  6.1 $\times$ 1010 N/m2 
C)  6.3 $\times$ 1010 N/m2 
D)  7.0 $\times$ 1010 N/m2 
E)  8.1 $\times$ 1010 N/m2

Question 8

A physical pendulum is composed of a disc whose center of gravity is attached to a thin rod.The disc has a moment of inertia of 1/2 MR2.The mass of the disc is 1.00 kg and has a radius of 40 cm.The length of the rod is 50.0 cm.The period of the physical pendulum is

Accepted Answer

A)  2.22 sec. 
B)  2.03 sec. 
C)  1.89 sec. 
D)  1.63 sec. 
E)  1.32 sec. 
A)  2.22 sec. 
B)  2.03 sec. 
C)  1.89 sec. 
D)  1.63 sec. 
E)  1.32 sec.

Question 9

A pendulum that on Earth has period 0.52 s is taken to the surface of a large asteroid,where it is measured to have period 1.7 s.What is the value of the gravitational acceleration on the surface of that asteroid?

Accepted Answer

A)  5.78 m/s2 
B)  0.48 m/s2 
C)  3.0 m/s2 
D)  0.92 m/s2 
A)  5.78 m/s2 
B)  0.48 m/s2 
C)  3.0 m/s2 
D)  0.92 m/s2

Question 10

A rod is 2.40 m long and has a diameter of 2.50 mm.A force of 2000 N is applied to the end to stretch the rod by 1.40 mm.What is the tensile modulus for this rod?

Accepted Answer

A)  6.99 $\times$ 1010 N/m2 
B)  6.05 $\times$ 1010 N/m2 
C)  5.54 $\times$ 1010 N/m2 
D)  4.90 $\times$ 1010 N/m2 
E)  4.02 $\times$ 1010 N/m2 
A)  6.99 $\times$ 1010 N/m2 
B)  6.05 $\times$ 1010 N/m2 
C)  5.54 $\times$ 1010 N/m2 
D)  4.90 $\times$ 1010 N/m2 
E)  4.02 $\times$ 1010 N/m2

Question 11

A 20.0 kg mass is attached to the end of a 1.00 m steel rod with a 1.00 mm diameter.If the tensile modulus of steel is 20.0 $\times$ 1010 N/m2,then the frequency of the simple harmonic motion of the mass is

Accepted Answer

A)  37.2 Hz. 
B)  30.4 Hz. 
C)  24.5 Hz. 
D)  20.1 Hz. 
E)  14.1 Hz. 
A)  37.2 Hz. 
B)  30.4 Hz. 
C)  24.5 Hz. 
D)  20.1 Hz. 
E)  14.1 Hz.

Question 12

A 10 kg mass is attached to the end of a 2.00 m brass rod with a 1 mm diameter.If the tensile modulus of brass is 9.10 $\times$ 1010 N/m2,then the frequency of the simple harmonic motion of the mass is

Accepted Answer

A)  6.20 Hz. 
B)  7.51 Hz. 
C)  7.95 Hz. 
D)  8.21 Hz. 
E)  9.51 Hz. 
A)  6.20 Hz. 
B)  7.51 Hz. 
C)  7.95 Hz. 
D)  8.21 Hz. 
E)  9.51 Hz.

Question 13

A pendulum when on Earth has a period of 1.00 s.When transported to the moon,where the gravitational acceleration is 1/6 that on Earth,the period of the pendulum would be:

Accepted Answer

A)  4.1 s. 
B)  1.00 s 
C)  2.4 s 
A)  4.1 s. 
B)  1.00 s 
C)  2.4 s

Question 14

A force of 15.0 N is applied to a wire with a diameter of 2.00 mm.If the wire changed length by 1.20 mm,then the stress in the wire is

Accepted Answer

A)  4.77 $\times$ 106 N/m2. 
B)  5.38 $\times$ 106 N/m2. 
C)  6.73 $\times$ 106 N/m2. 
D)  7.27 $\times$ 106 N/m2. 
E)  8.75 $\times$ 106 N/m2. 
A)  4.77 $\times$ 106 N/m2. 
B)  5.38 $\times$ 106 N/m2. 
C)  6.73 $\times$ 106 N/m2. 
D)  7.27 $\times$ 106 N/m2. 
E)  8.75 $\times$ 106 N/m2.

Question 15

A copper ball with a diameter of 5.00 cm is subjected to a pressure of 2.50 $\times$ 106 Pa.The bulk modulus for copper is 14.00 $\times$ 1010 N/m2.What is the change in the volume?

Accepted Answer

A)  1.01 $\times$ 10-3 cm3 
B)  1.17 $\times$ 10-3 cm3 
C)  1.20 $\times$ 10-3 cm3 
D)  1.58 $\times$ 10-3 cm3 
E)  1.70 $\times$ 10-3 cm3 
A)  1.01 $\times$ 10-3 cm3 
B)  1.17 $\times$ 10-3 cm3 
C)  1.20 $\times$ 10-3 cm3 
D)  1.58 $\times$ 10-3 cm3 
E)  1.70 $\times$ 10-3 cm3

Question 16

A block is placed in oscillation on a frictionless horizontal surface attached to a spring that requires 125 N for the block to be stretched 15 cm away from equilibrium.From this position it is released,and oscillates with a period of 0.25 s.What is the mass of the block?

Accepted Answer

A)  0.66 kg 
B)  4.1 kg 
C)  1.3 kg 
D)  5.3 kg 
A)  0.66 kg 
B)  4.1 kg 
C)  1.3 kg 
D)  5.3 kg

Question 17

A spring-powered launcher has a spring with a spring constant of 150 N/cm.The launcher is prepared to launch a projectile by compressing the spring by 5.00 cm.If the mass of the projectile is 5.00 grams,then what is the velocity of the projectile when it is launched from the launcher?

Accepted Answer

A)  90.6 m/s 
B)  86.6 m/s 
C)  75.5 m/s 
D)  60.3 m/s 
E)  56.6 m/s 
A)  90.6 m/s 
B)  86.6 m/s 
C)  75.5 m/s 
D)  60.3 m/s 
E)  56.6 m/s

Question 18

A cable is 50.0 m long and has a diameter of 2.50 cm.A force of 10,000 N is applied to the end of the cable.If the maximum stretch allowed in the cable is 2.00 mm,then what is the minimum tensile modulus allowed?

Accepted Answer

A)  1.02 $\times$ 109 N/m2 
B)  2.04 $\times$ 109 N/m2 
C)  2.55 $\times$ 109 N/m2 
D)  3.06 $\times$ 109 N/m2 
E)  3.52 $\times$ 109 N/m2 
A)  1.02 $\times$ 109 N/m2 
B)  2.04 $\times$ 109 N/m2 
C)  2.55 $\times$ 109 N/m2 
D)  3.06 $\times$ 109 N/m2 
E)  3.52 $\times$ 109 N/m2

Question 19

A cube of aluminum is at a depth of 1.00 km under water whose density is 1,000 kg/m3.The bulk stress on the cube due to the water is

Accepted Answer

A)  6.90 $\times$ 106 Pa. 
B)  7.50 $\times$ 106 Pa. 
C)  8.70 $\times$ 106 Pa. 
D)  9.90 $\times$ 106 Pa. 
E)  10.5 $\times$ 106 Pa. 
A)  6.90 $\times$ 106 Pa. 
B)  7.50 $\times$ 106 Pa. 
C)  8.70 $\times$ 106 Pa. 
D)  9.90 $\times$ 106 Pa. 
E)  10.5 $\times$ 106 Pa.

Question 20

Seawater has a density of 1,025 kg/m3 at the surface.The bulk modulus of seawater is 0.2100 $\times$ 1010 N/m2.What is the density of seawater at a depth of 10.00 km?

Accepted Answer

A)  1074 kg/m3 
B)  1230 kg/m3 
C)  1574 kg/m3 
D)  1764 kg/m3 
E)  1973 kg/m3 
A)  1074 kg/m3 
B)  1230 kg/m3 
C)  1574 kg/m3 
D)  1764 kg/m3 
E)  1973 kg/m3

Exam 10: Elasticity and Oscillations

A 100 N picture hangs from a nail in the wall.The diameter of the nail is 3.00 mm.The shear stress on the nail is

A 3.0 kg mass is connected to a spring with a spring constant of 6.0 N/m.The velocity is given by the expression v(t) = 10.0 cm/s sin( ω\omegaω t).What is the maximum velocity of the simple harmonic motion?

A rod with a diameter of 2.00 mm projects 20.0 mm horizontally outward from a wall.A 2.00 N coat is hung from the end of the rod and the rod deflects downward by 4.00 ×\times× 10-6 m.The shear stress of the rod is

When the position of a simple harmonic oscillator is equal to A/2,where A is the amplitude,the kinetic energy is:

A disk is suspended by a nail such that it pivots in a vertical plane about a point on the edge of the disk.If the disk's radius is 25 cm,what is the period of oscillation?

An aluminum ball is subjected to a pressure of 7.00 ×\times× 106 Pa.The bulk strain is 1.0 ×\times× 10-4.What is the bulk modulus?

A physical pendulum is composed of a disc whose center of gravity is attached to a thin rod.The disc has a moment of inertia of 1/2 MR2.The mass of the disc is 1.00 kg and has a radius of 40 cm.The length of the rod is 50.0 cm.The period of the physical pendulum is

A pendulum that on Earth has period 0.52 s is taken to the surface of a large asteroid,where it is measured to have period 1.7 s.What is the value of the gravitational acceleration on the surface of that asteroid?

A rod is 2.40 m long and has a diameter of 2.50 mm.A force of 2000 N is applied to the end to stretch the rod by 1.40 mm.What is the tensile modulus for this rod?

A 20.0 kg mass is attached to the end of a 1.00 m steel rod with a 1.00 mm diameter.If the tensile modulus of steel is 20.0 ×\times× 1010 N/m2,then the frequency of the simple harmonic motion of the mass is

A 10 kg mass is attached to the end of a 2.00 m brass rod with a 1 mm diameter.If the tensile modulus of brass is 9.10 ×\times× 1010 N/m2,then the frequency of the simple harmonic motion of the mass is

A pendulum when on Earth has a period of 1.00 s.When transported to the moon,where the gravitational acceleration is 1/6 that on Earth,the period of the pendulum would be:

A force of 15.0 N is applied to a wire with a diameter of 2.00 mm.If the wire changed length by 1.20 mm,then the stress in the wire is

A copper ball with a diameter of 5.00 cm is subjected to a pressure of 2.50 ×\times× 106 Pa.The bulk modulus for copper is 14.00 ×\times× 1010 N/m2.What is the change in the volume?

A block is placed in oscillation on a frictionless horizontal surface attached to a spring that requires 125 N for the block to be stretched 15 cm away from equilibrium.From this position it is released,and oscillates with a period of 0.25 s.What is the mass of the block?

A spring-powered launcher has a spring with a spring constant of 150 N/cm.The launcher is prepared to launch a projectile by compressing the spring by 5.00 cm.If the mass of the projectile is 5.00 grams,then what is the velocity of the projectile when it is launched from the launcher?

A cable is 50.0 m long and has a diameter of 2.50 cm.A force of 10,000 N is applied to the end of the cable.If the maximum stretch allowed in the cable is 2.00 mm,then what is the minimum tensile modulus allowed?

A cube of aluminum is at a depth of 1.00 km under water whose density is 1,000 kg/m3.The bulk stress on the cube due to the water is

Seawater has a density of 1,025 kg/m3 at the surface.The bulk modulus of seawater is 0.2100 ×\times× 1010 N/m2.What is the density of seawater at a depth of 10.00 km?

Introduction

Force

Acceleration and Newtons Second Law of Motion

Motion With Constant Acceleration

Circular Motion

Conservation of Energy

Linear Momentum

Torque and Angular Momentum

Fluids

Waves

Sound

Temperature and the Ideal Gas

Heat

Thermodynamics

Electric Forces and Fields

Electric Potential

Electric Current and Circuits

Magnetic Forces and Fields

Electromagnetic Induction

Alternating Current

Electromagnetic Waves

Reflection and Refraction of Light

Optical Instruments

Interference and Diffraction

Relativity

Early Quantum Physics and the Photon

Quantum Physics

Nuclear Physics

Particle Physics

Filters

A 3.0 kg mass is connected to a spring with a spring constant of 6.0 N/m.The velocity is given by the expression v(t) = 10.0 cm/s sin( $\omega$ t).What is the maximum velocity of the simple harmonic motion?

A rod with a diameter of 2.00 mm projects 20.0 mm horizontally outward from a wall.A 2.00 N coat is hung from the end of the rod and the rod deflects downward by 4.00 $\times$ 10^-6 m.The shear stress of the rod is

An aluminum ball is subjected to a pressure of 7.00 $\times$ 10⁶ Pa.The bulk strain is 1.0 $\times$ 10^-4.What is the bulk modulus?

A physical pendulum is composed of a disc whose center of gravity is attached to a thin rod.The disc has a moment of inertia of 1/2 MR².The mass of the disc is 1.00 kg and has a radius of 40 cm.The length of the rod is 50.0 cm.The period of the physical pendulum is

A 20.0 kg mass is attached to the end of a 1.00 m steel rod with a 1.00 mm diameter.If the tensile modulus of steel is 20.0 $\times$ 10¹⁰ N/m²,then the frequency of the simple harmonic motion of the mass is

A 10 kg mass is attached to the end of a 2.00 m brass rod with a 1 mm diameter.If the tensile modulus of brass is 9.10 $\times$ 10¹⁰ N/m²,then the frequency of the simple harmonic motion of the mass is

A copper ball with a diameter of 5.00 cm is subjected to a pressure of 2.50 $\times$ 10⁶ Pa.The bulk modulus for copper is 14.00 $\times$ 10¹⁰ N/m².What is the change in the volume?

A cube of aluminum is at a depth of 1.00 km under water whose density is 1,000 kg/m³.The bulk stress on the cube due to the water is

Seawater has a density of 1,025 kg/m³ at the surface.The bulk modulus of seawater is 0.2100 $\times$ 10¹⁰ N/m².What is the density of seawater at a depth of 10.00 km?