Question 1

Suppose a 0.30-kg mass on a spring that has been compressed 0.20 m has elastic potential energy of 1.0 J.How much further must the spring be compressed to triple the elastic potential energy?

Accepted Answer

A)   0.35 m
B)   0.15 m
C)   0.10 m
D)   0.05 m B

Question 2

The SI base units for the spring constant are which of the following?

Accepted Answer

A)   kg·s2
B)   kg/m2
C)   kg/s2
D)   kg·m2 C

Question 3

An ore car of mass 2000 kg rolls downhill on tracks from a mine.At the end of the tracks,10.0 m lower in elevation,is a spring with k = 400,000 N/m.How much is the spring compressed in stopping the ore car? Ignore friction.

Accepted Answer

A)   0.14 m
B)   0.99 m
C)   1.40 m
D)   1.96 m B

Question 4

A 0.20-kg object is oscillating on a spring with a spring constant of k = 30 N/m.What is the potential energy of the system when the object's displacement is 0.040 m,exactly half the maximum amplitude?

Accepted Answer

A)   0.96 J
B)   0.024 J
C)   0.012 J
D)   zero

Question 5

A large spring requires a force of 100 N to compress it only 0.010 m.What is the spring constant of the spring?

Accepted Answer

A)   1.0 N/m
B)   100 N/m
C)   10,000 N/m
D)   100,000 N/m

Question 6

The position of a 0.64-kg mass undergoing simple harmonic motion is given by x = (0.160 m)cos (πt/16).What is its position at t = 6.0 s?

Accepted Answer

A)   0.160 m
B)   0.159 m
C)   0.061 m
D)   0.089 m

Question 7

If a simple harmonic motion is described by 
,what is the period of oscillation and what is the maximum speed during the oscillation? Assume SI units.

Accepted Answer

A)  
B)  
C)  
D)

Question 8

To double the total energy of a simple harmonic oscillator,by what factor should the amplitude change?

Accepted Answer

A)   2
B)  
C)   4
D)

Question 9

What are the base SI units for the torsion constant 
?

Accepted Answer

A)  
B)  
C)  
D)

Question 10

If a simple harmonic motion is described by x​ = 3 cos(πt),starting from t = 0 s,what is the first occurrence of a value of t for which x = 0? Assume SI units.

Accepted Answer

A)   t = 0 s
B)   t = (π/4) s
C)   t = (1/2π) s
D)   t = 0.5 s

Question 11

A copper alloy wire of length 2.0 m,cross sectional area 7.1 × 10−6 m2,and Young's modulus 11 × 1010 N/m2,has a 200-kg load hung on it.What is its increase in length? (g = 9.8 m/s2)

Accepted Answer

A)   0.50 mm
B)   1.0 mm
C)   2.5 mm
D)   5.0 mm

Question 12

Halving the mass of the bob on a simple pendulum will cause a change in the frequency of the pendulum swing by what factor?

Accepted Answer

A)   4.0
B)   2.0
C)   1.0
D)   0.50

Question 13

A pendulum on the Earth has a period T.The acceleration due to gravity on Mars is less than that on the Earth,and the acceleration due to gravity on the Moon is even less.Where would the period of an identical pendulum be the least?

Accepted Answer

A)   on the Earth
B)   on the Moon
C)   on Mars
D)   The period of a pendulum would be the same on the Earth,Moon,and Mars since the period depends on the pendulum's length which is the same for identical pendula.

Question 14

A mass of 0.40 kg,attached to a spring with a spring constant of 80 N/m,is set into simple harmonic motion.What is the magnitude of the acceleration of the mass when at its maximum displacement of 0.050 m from the equilibrium position?

Accepted Answer

A)   zero
B)   5 m/s2
C)   10 m/s2
D)   20 m/s2

Question 15

The position of a 0.64-kg mass undergoing simple harmonic motion is given by x = (0.120 m)cos (πt/16).What is the maximum net force on the mass as it oscillates?

Accepted Answer

A)   0.98 × 10−3 N
B)   7.4 × 10−3 N
C)   3.0 × 10−3 N
D)   4.7 N

Question 16

A mass of 0.40 kg,hanging from a spring with a spring constant of 160 N/m,is set into an up-and-down simple harmonic motion.What is the speed of the mass when moving through the equilibrium point? The starting displacement from equilibrium is 0.10 m.

Accepted Answer

A)   zero
B)   1.4 m/s
C)   2.0 m/s
D)   3.4 m/s

Question 17

A 0.20-kg object is attached to a spring with spring constant k = 10 N/m and moves with simple harmonic motion over a horizontal,frictionless surface.At the instant that it is displaced from equilibrium by −0.060 m,what is its acceleration?

Accepted Answer

A)   360 m/s2
B)   −30 m/s2
C)   3.0 m/s2
D)   0.18 m/s2

Question 18

By what factor should the length of a simple pendulum be changed if the period of vibration were to be quadrupled?

Accepted Answer

A)   16
B)   4.0
C)   0.25
D)   1/16

Question 19

By what factor must one change the weight suspended vertically from a spring coil in order to double its period of simple harmonic motion?

Accepted Answer

A)   4
B)   2
C)   1/2
D)   1/4

Question 20

A mass on a spring vibrates in simple harmonic motion at a frequency of 4.0 Hz and an amplitude of 5.0 cm.If a timer is started when its displacement is a maximum (hence x = 5 cm when t = 0),what is the acceleration magnitude when t = 3 s?

Accepted Answer

A)   31.6 m/s2
B)   15.8 m/s2
C)   10.5 m/s2
D)   zero

Exam 11: Energy in Thermal Processes Heat and Internal Energy: Part A

Suppose a 0.30-kg mass on a spring that has been compressed 0.20 m has elastic potential energy of 1.0 J.How much further must the spring be compressed to triple the elastic potential energy?

The SI base units for the spring constant are which of the following?

An ore car of mass 2000 kg rolls downhill on tracks from a mine.At the end of the tracks,10.0 m lower in elevation,is a spring with k = 400,000 N/m.How much is the spring compressed in stopping the ore car? Ignore friction.

A 0.20-kg object is oscillating on a spring with a spring constant of k = 30 N/m.What is the potential energy of the system when the object's displacement is 0.040 m,exactly half the maximum amplitude?

A large spring requires a force of 100 N to compress it only 0.010 m.What is the spring constant of the spring?

The position of a 0.64-kg mass undergoing simple harmonic motion is given by x = (0.160 m) cos (πt/16) .What is its position at t = 6.0 s?

If a simple harmonic motion is described by ,what is the period of oscillation and what is the maximum speed during the oscillation? Assume SI units.

To double the total energy of a simple harmonic oscillator,by what factor should the amplitude change?

What are the base SI units for the torsion constant ?

If a simple harmonic motion is described by x = 3 cos(πt) ,starting from t = 0 s,what is the first occurrence of a value of t for which x = 0? Assume SI units.

A copper alloy wire of length 2.0 m,cross sectional area 7.1 × 10−⁶ m²,and Young's modulus 11 × 10¹⁰ N/m²,has a 200-kg load hung on it.What is its increase in length? (g = 9.8 m/s²)

Halving the mass of the bob on a simple pendulum will cause a change in the frequency of the pendulum swing by what factor?

A pendulum on the Earth has a period T.The acceleration due to gravity on Mars is less than that on the Earth,and the acceleration due to gravity on the Moon is even less.Where would the period of an identical pendulum be the least?

A mass of 0.40 kg,attached to a spring with a spring constant of 80 N/m,is set into simple harmonic motion.What is the magnitude of the acceleration of the mass when at its maximum displacement of 0.050 m from the equilibrium position?

The position of a 0.64-kg mass undergoing simple harmonic motion is given by x = (0.120 m) cos (πt/16) .What is the maximum net force on the mass as it oscillates?

A mass of 0.40 kg,hanging from a spring with a spring constant of 160 N/m,is set into an up-and-down simple harmonic motion.What is the speed of the mass when moving through the equilibrium point? The starting displacement from equilibrium is 0.10 m.

A 0.20-kg object is attached to a spring with spring constant k = 10 N/m and moves with simple harmonic motion over a horizontal,frictionless surface.At the instant that it is displaced from equilibrium by −0.060 m,what is its acceleration?

By what factor should the length of a simple pendulum be changed if the period of vibration were to be quadrupled?

By what factor must one change the weight suspended vertically from a spring coil in order to double its period of simple harmonic motion?

A mass on a spring vibrates in simple harmonic motion at a frequency of 4.0 Hz and an amplitude of 5.0 cm.If a timer is started when its displacement is a maximum (hence x = 5 cm when t = 0) ,what is the acceleration magnitude when t = 3 s?

Exam 11: Energy in Thermal Processes Heat and Internal Energy: Part A

Suppose a 0.30-kg mass on a spring that has been compressed 0.20 m has elastic potential energy of 1.0 J.How much further must the spring be compressed to triple the elastic potential energy?

The SI base units for the spring constant are which of the following?

An ore car of mass 2000 kg rolls downhill on tracks from a mine.At the end of the tracks,10.0 m lower in elevation,is a spring with k = 400,000 N/m.How much is the spring compressed in stopping the ore car? Ignore friction.

A 0.20-kg object is oscillating on a spring with a spring constant of k = 30 N/m.What is the potential energy of the system when the object's displacement is 0.040 m,exactly half the maximum amplitude?

A large spring requires a force of 100 N to compress it only 0.010 m.What is the spring constant of the spring?

The position of a 0.64-kg mass undergoing simple harmonic motion is given by x = (0.160 m) cos (πt/16) .What is its position at t = 6.0 s?

If a simple harmonic motion is described by ,what is the period of oscillation and what is the maximum speed during the oscillation? Assume SI units.

To double the total energy of a simple harmonic oscillator,by what factor should the amplitude change?

What are the base SI units for the torsion constant ?

If a simple harmonic motion is described by x​ = 3 cos(πt) ,starting from t = 0 s,what is the first occurrence of a value of t for which x = 0? Assume SI units.

A copper alloy wire of length 2.0 m,cross sectional area 7.1 × 10−6 m2,and Young's modulus 11 × 1010 N/m2,has a 200-kg load hung on it.What is its increase in length? (g = 9.8 m/s2)

Halving the mass of the bob on a simple pendulum will cause a change in the frequency of the pendulum swing by what factor?

A pendulum on the Earth has a period T.The acceleration due to gravity on Mars is less than that on the Earth,and the acceleration due to gravity on the Moon is even less.Where would the period of an identical pendulum be the least?

A mass of 0.40 kg,attached to a spring with a spring constant of 80 N/m,is set into simple harmonic motion.What is the magnitude of the acceleration of the mass when at its maximum displacement of 0.050 m from the equilibrium position?

The position of a 0.64-kg mass undergoing simple harmonic motion is given by x = (0.120 m) cos (πt/16) .What is the maximum net force on the mass as it oscillates?

A mass of 0.40 kg,hanging from a spring with a spring constant of 160 N/m,is set into an up-and-down simple harmonic motion.What is the speed of the mass when moving through the equilibrium point? The starting displacement from equilibrium is 0.10 m.

A 0.20-kg object is attached to a spring with spring constant k = 10 N/m and moves with simple harmonic motion over a horizontal,frictionless surface.At the instant that it is displaced from equilibrium by −0.060 m,what is its acceleration?

By what factor should the length of a simple pendulum be changed if the period of vibration were to be quadrupled?

By what factor must one change the weight suspended vertically from a spring coil in order to double its period of simple harmonic motion?

A mass on a spring vibrates in simple harmonic motion at a frequency of 4.0 Hz and an amplitude of 5.0 cm.If a timer is started when its displacement is a maximum (hence x = 5 cm when t = 0) ,what is the acceleration magnitude when t = 3 s?

If a simple harmonic motion is described by x = 3 cos(πt) ,starting from t = 0 s,what is the first occurrence of a value of t for which x = 0? Assume SI units.

A copper alloy wire of length 2.0 m,cross sectional area 7.1 × 10−⁶ m²,and Young's modulus 11 × 10¹⁰ N/m²,has a 200-kg load hung on it.What is its increase in length? (g = 9.8 m/s²)