Question 1

If the total energy of an electron in an accelerator is five times its rest energy,what is its speed? (c = 3.00 × 108 m/s)

Accepted Answer

A)  1.98 × 108 m/s 
B)  2.94 × 108 m/s 
C)  2.32 × 108 m/s 
D)  2.90 × 108 m/s

Question 2

A proton with mass 1.67 × 10−27 kg moves in an accelerator with speed of 0.900c.What is its kinetic energy? (c = 3.00 × 108 m/s)

Accepted Answer

A)  1.95 × 10−10 J 
B)  1.00 × 10−10 J 
C)  3.70 × 10−10 J 
D)  1.35 × 10−10 J

Question 3

What is the total energy of a proton moving at a speed of 2.10 × 108 m/s? (proton mass is 1.67 × 10−27 kg and c = 3.00 × 108 m/s)

Accepted Answer

A)  1.11 × 10−27 J 
B)  2.10 × 10−10 J 
C)  2.02 × 10−10 J 
D)  2.24 × 10−27 J

Question 4

A knight on horseback holds a 10-m lance.The horse can run at 0.78c.(It wins most of its races!)How long will the lance appear to a person that is standing still on the ground as the horse runs past?

Accepted Answer

A)  7.1 m 
B)  15 m 
C)  10 m 
D)  6.3 m

Question 5

A spaceship is moving away from an observer at relativistic speed.Its length at rest is 100 m,but the observer measures its length as 67 m.A time interval of 100 s on the spaceship would be measured by the observer to be which of the following?

Accepted Answer

A)  200 s 
B)  150 s 
C)  50 s 
D)  100 s

Question 6

A mass is bouncing on the end of a spring with a period T when measured by a ground observer.What would the period of oscillation be (as measured by the same observer)if the mass and spring were moving past the ground observer at a speed of 0.600c?

Accepted Answer

A)  0.440 T 
B)  1.25 T 
C)  0.600 T 
D)  1.67 T

Question 7

The astronaut whose heart rate on Earth is 60 beats/min increases his velocity to v = 0.60c.Now what is his heart rate as measured by an Earth observer?

Accepted Answer

A)  100 beats/min 
B)  75 beats/min 
C)  36 beats/min 
D)  48 beats/min

Question 8

A proton with mass 1.67 × 10−27 kg moves with a speed of 0.800c in an accelerator.What is its relativistic momentum? (c = 3.00 × 108 m/s)

Accepted Answer

A)  2.40 × 10−19 kg⋅m/s 
B)  6.68 × 10−19 kg⋅m/s 
C)  0.530 × 10−19 kg⋅m/s 
D)  3.76 × 10−19 kg⋅m/s

Question 9

An astronaut at rest has a heart rate of 65 beats/min.What will her heart rate be as measured by an earth observer when the astronaut's spaceship goes by the earth at a speed of 0.80c?

Accepted Answer

A)  108 beats/min 
B)  39 beats/min 
C)  81 beats/min 
D)  52 beats/min

Question 10

The observed relativistic length of a super rocket moving by the observer at 0.57c will be what factor times that of the measured rocket length if it were at rest?

Accepted Answer

A)  0.82 
B)  0.45 
C)  1.4 
D)  0.71

Question 11

A proton with mass 1.67 × 10−27 kg moves with a speed of 0.800c in an accelerator.What is its kinetic energy? (c = 3.00 × 108 m/s)

Accepted Answer

A)  7.52 × 10−11 J 
B)  1.00 × 10−10 J 
C)  9.02 × 10−11 J 
D)  3.76 × 10−11 J

Question 12

Two spaceships are approaching one another,one with speed v​1 and the other with speed v​2.Neither speed is 0.Their speed of approach,according to Newtonian mechanics,is ​v​1 + ​v​2.Special relativity tells us that the speed of approach

Accepted Answer

A)  is more than the Newtonian value if each speed is more than half the speed of light. 
B)  is always greater than the Newtonian value. 
C)  is the same as the Newtonian value if each speed is less than half the speed of light. 
D)  is always less than the Newtonian value.

Question 13

An electron of mass 9.11 × 10−31 kg moves with a speed of 0.800c.What is its kinetic energy? (c = 3.00 × 108 m/s)

Accepted Answer

A)  5.47 × 10−14 J 
B)  2.05 × 10−14 J 
C)  3.90 × 10−14 J 
D)  6.22 × 10−14 J

Question 14

A particle is moving the +x direction at speed c/2.Another particle is moving in the -x direction at speed c/2 toward the first particle.Which of the following best describes the speed of one particle as seen by an observer moving with the other particle?

Accepted Answer

A)  c 
B)  some value less than 3c/4 
C)  some value more than 3c/4 
D)  3c/4

Question 15

As measured from the Earth,a spacecraft is moving at speed 0.80c when it releases a probe at speed 0.60c relative to the spacecraft in a forward direction.What would be the speed of the probe as measured from the Earth?

Accepted Answer

A)  0.70c 
B)  0.81c 
C)  c 
D)  0.95c

Question 16

An electron of mass 9.11 × 10−31 kg moves with a speed of 0.800c.What is its total energy? (c = 3.00 × 108 m/s)

Accepted Answer

A)  13.7 × 10−14 J 
B)  10.2 × 10−14 J 
C)  4.80 × 10−14 J 
D)  7.30 × 10−14 J

Question 17

If a proton with mass 1.67 × 10−27 kg moves in an accelerator such that its total energy is two times its rest energy,what is its speed? (c = 3.00 × 108 m/s)

Accepted Answer

A)  1.00 × 108 m/s 
B)  2.83 × 108 m/s 
C)  1.41 × 108 m/s 
D)  2.60 × 108 m/s

Question 18

A spaceship of mass 106 kg is to be accelerated to 0.60c.How much energy does this require?

Accepted Answer

A)  2.3 × 1022 J 
B)  6.0 × 1022 J 
C)  2.5 × 1023 J 
D)  1.5 × 1023 J

Question 19

As measured from the Earth,a spacecraft is moving at speed c/2 toward a second spacecraft that is not moving.The first spacecraft emits a laser pulse toward the second spacecraft.What is the speed of the laser pulse measured by the second spacecraft as it passes by?

Accepted Answer

A) 
 
B) 
 
C) 
 
D)

Question 20

A satellite is powered by a small nuclear generator that puts out 20 W.How much matter is converted into energy over the 10 year life span of the generator?

Accepted Answer

A)  70 µg 
B)  53 g 
C)  53 kg 
D)  53 µg

Exam 27: Quantum Physics Blackbody Radiation and Plancks Hypothesis: Part A

If the total energy of an electron in an accelerator is five times its rest energy,what is its speed? (c = 3.00 × 10⁸ m/s)

A proton with mass 1.67 × 10−²⁷ kg moves in an accelerator with speed of 0.900c.What is its kinetic energy? (c = 3.00 × 10⁸ m/s)

What is the total energy of a proton moving at a speed of 2.10 × 10⁸ m/s? (proton mass is 1.67 × 10−²⁷ kg and c = 3.00 × 10⁸ m/s)

A knight on horseback holds a 10-m lance.The horse can run at 0.78c.(It wins most of its races!) How long will the lance appear to a person that is standing still on the ground as the horse runs past?

A spaceship is moving away from an observer at relativistic speed.Its length at rest is 100 m,but the observer measures its length as 67 m.A time interval of 100 s on the spaceship would be measured by the observer to be which of the following?

A mass is bouncing on the end of a spring with a period T when measured by a ground observer.What would the period of oscillation be (as measured by the same observer) if the mass and spring were moving past the ground observer at a speed of 0.600c?

The astronaut whose heart rate on Earth is 60 beats/min increases his velocity to v = 0.60c.Now what is his heart rate as measured by an Earth observer?

A proton with mass 1.67 × 10−²⁷ kg moves with a speed of 0.800c in an accelerator.What is its relativistic momentum? (c = 3.00 × 10⁸ m/s)

An astronaut at rest has a heart rate of 65 beats/min.What will her heart rate be as measured by an earth observer when the astronaut's spaceship goes by the earth at a speed of 0.80c?

The observed relativistic length of a super rocket moving by the observer at 0.57c will be what factor times that of the measured rocket length if it were at rest?

A proton with mass 1.67 × 10−²⁷ kg moves with a speed of 0.800c in an accelerator.What is its kinetic energy? (c = 3.00 × 10⁸ m/s)

Two spaceships are approaching one another,one with speed v₁ and the other with speed v₂.Neither speed is 0.Their speed of approach,according to Newtonian mechanics,is v₁ + v₂.Special relativity tells us that the speed of approach

An electron of mass 9.11 × 10−³¹ kg moves with a speed of 0.800c.What is its kinetic energy? (c = 3.00 × 10⁸ m/s)

A particle is moving the +x direction at speed c/2.Another particle is moving in the -x direction at speed c/2 toward the first particle.Which of the following best describes the speed of one particle as seen by an observer moving with the other particle?

As measured from the Earth,a spacecraft is moving at speed 0.80c when it releases a probe at speed 0.60c relative to the spacecraft in a forward direction.What would be the speed of the probe as measured from the Earth?

An electron of mass 9.11 × 10−³¹ kg moves with a speed of 0.800c.What is its total energy? (c = 3.00 × 10⁸ m/s)

If a proton with mass 1.67 × 10−²⁷ kg moves in an accelerator such that its total energy is two times its rest energy,what is its speed? (c = 3.00 × 10⁸ m/s)

A spaceship of mass 10⁶ kg is to be accelerated to 0.60c.How much energy does this require?

As measured from the Earth,a spacecraft is moving at speed c/2 toward a second spacecraft that is not moving.The first spacecraft emits a laser pulse toward the second spacecraft.What is the speed of the laser pulse measured by the second spacecraft as it passes by?

A satellite is powered by a small nuclear generator that puts out 20 W.How much matter is converted into energy over the 10 year life span of the generator?

Exam 27: Quantum Physics Blackbody Radiation and Plancks Hypothesis: Part A

If the total energy of an electron in an accelerator is five times its rest energy,what is its speed? (c = 3.00 × 108 m/s)

A proton with mass 1.67 × 10−27 kg moves in an accelerator with speed of 0.900c.What is its kinetic energy? (c = 3.00 × 108 m/s)

What is the total energy of a proton moving at a speed of 2.10 × 108 m/s? (proton mass is 1.67 × 10−27 kg and c = 3.00 × 108 m/s)

A knight on horseback holds a 10-m lance.The horse can run at 0.78c.(It wins most of its races!) How long will the lance appear to a person that is standing still on the ground as the horse runs past?

A spaceship is moving away from an observer at relativistic speed.Its length at rest is 100 m,but the observer measures its length as 67 m.A time interval of 100 s on the spaceship would be measured by the observer to be which of the following?

A mass is bouncing on the end of a spring with a period T when measured by a ground observer.What would the period of oscillation be (as measured by the same observer) if the mass and spring were moving past the ground observer at a speed of 0.600c?

The astronaut whose heart rate on Earth is 60 beats/min increases his velocity to v = 0.60c.Now what is his heart rate as measured by an Earth observer?

A proton with mass 1.67 × 10−27 kg moves with a speed of 0.800c in an accelerator.What is its relativistic momentum? (c = 3.00 × 108 m/s)

An astronaut at rest has a heart rate of 65 beats/min.What will her heart rate be as measured by an earth observer when the astronaut's spaceship goes by the earth at a speed of 0.80c?

The observed relativistic length of a super rocket moving by the observer at 0.57c will be what factor times that of the measured rocket length if it were at rest?

A proton with mass 1.67 × 10−27 kg moves with a speed of 0.800c in an accelerator.What is its kinetic energy? (c = 3.00 × 108 m/s)

Two spaceships are approaching one another,one with speed v​1 and the other with speed v​2.Neither speed is 0.Their speed of approach,according to Newtonian mechanics,is ​v​1 + ​v​2.Special relativity tells us that the speed of approach

An electron of mass 9.11 × 10−31 kg moves with a speed of 0.800c.What is its kinetic energy? (c = 3.00 × 108 m/s)

A particle is moving the +x direction at speed c/2.Another particle is moving in the -x direction at speed c/2 toward the first particle.Which of the following best describes the speed of one particle as seen by an observer moving with the other particle?

As measured from the Earth,a spacecraft is moving at speed 0.80c when it releases a probe at speed 0.60c relative to the spacecraft in a forward direction.What would be the speed of the probe as measured from the Earth?

An electron of mass 9.11 × 10−31 kg moves with a speed of 0.800c.What is its total energy? (c = 3.00 × 108 m/s)

If a proton with mass 1.67 × 10−27 kg moves in an accelerator such that its total energy is two times its rest energy,what is its speed? (c = 3.00 × 108 m/s)

A spaceship of mass 106 kg is to be accelerated to 0.60c.How much energy does this require?

As measured from the Earth,a spacecraft is moving at speed c/2 toward a second spacecraft that is not moving.The first spacecraft emits a laser pulse toward the second spacecraft.What is the speed of the laser pulse measured by the second spacecraft as it passes by?

A satellite is powered by a small nuclear generator that puts out 20 W.How much matter is converted into energy over the 10 year life span of the generator?

If the total energy of an electron in an accelerator is five times its rest energy,what is its speed? (c = 3.00 × 10⁸ m/s)

A proton with mass 1.67 × 10−²⁷ kg moves in an accelerator with speed of 0.900c.What is its kinetic energy? (c = 3.00 × 10⁸ m/s)

What is the total energy of a proton moving at a speed of 2.10 × 10⁸ m/s? (proton mass is 1.67 × 10−²⁷ kg and c = 3.00 × 10⁸ m/s)

A proton with mass 1.67 × 10−²⁷ kg moves with a speed of 0.800c in an accelerator.What is its relativistic momentum? (c = 3.00 × 10⁸ m/s)

A proton with mass 1.67 × 10−²⁷ kg moves with a speed of 0.800c in an accelerator.What is its kinetic energy? (c = 3.00 × 10⁸ m/s)

Two spaceships are approaching one another,one with speed v₁ and the other with speed v₂.Neither speed is 0.Their speed of approach,according to Newtonian mechanics,is v₁ + v₂.Special relativity tells us that the speed of approach

An electron of mass 9.11 × 10−³¹ kg moves with a speed of 0.800c.What is its kinetic energy? (c = 3.00 × 10⁸ m/s)

An electron of mass 9.11 × 10−³¹ kg moves with a speed of 0.800c.What is its total energy? (c = 3.00 × 10⁸ m/s)

If a proton with mass 1.67 × 10−²⁷ kg moves in an accelerator such that its total energy is two times its rest energy,what is its speed? (c = 3.00 × 10⁸ m/s)

A spaceship of mass 10⁶ kg is to be accelerated to 0.60c.How much energy does this require?