A proton's rest mass is 1.67 1027 kg. Calculate its kinetic energy when it is accelerated to a speed of 0.80c.
a. 1.0 1010 J
b. 1.5 1010 J
c. 2.0 1010 J
d. 2.5 1010 J
e. 7.5 1010 J
[Ques. 2] A proton's rest mass is 1.67 1027 kg. Calculate its total energy when it is accelerated to a speed of 0.80c.
a. 1.5 1010 J
b. 1.0 1010 J
c. 2.5 1010 J
d. 2.0 1010 J
e. 7.5 1010 J
[Ques. 3] An electron (m = 9.1 1031 kg) has a speed of 0.90c. What is the difference between its relativistic momentum and its non-relativistic momentum (in kg m/s)?
a. 4.3 1022
b. 3.2 1022
c. 5.4 1022
d. 6.5 1022
e. 2.5 1022
[Ques. 4] An electron has a kinetic energy that is twice its rest energy. Determine its speed.
a. 0.76c
b. 0.81c
c. 0.94c
d. 0.54c
e. 0.87c
[Ques. 5] An electron (m = 9.11 1031 kg) has a speed of 0.50c. Determine the difference between its relativistic kinetic energy and the kinetic energy calculated without considering relativity.
a. 3.0 1015 J
b. 2.0 1015 J
c. 1.5 1015 J
d. 2.4 1015 J
e. 1.8 1015 J
[Ques. 6] An astronaut traveling with a speed v = 0.90c holds a meterstick in his hand. If he measures its length, he will obtain a value of
a. 1.0 m
b. 2.3 m
c. 0.19 m
d. 0.43 m
e. 0.81 m
[Ques. 7] A starship navigator measures the distance between the Earth and the Sun. If the ship is moving at a speed of 0.90c, instead of obtaining 93 million miles, the navigator measures a distance (in millions of miles) of
a. 41.
b. 30.
c. 80.
d. 215.
e. 90.
[Ques. 8] A meterstick is shot from a meterstick projector at a speed of 0.90c. How long will it be relative to an observer's frame of reference?
a. 2.3 m
b. 0.91 m
c. 1.0 m
d. 0.44 m
e. 0.81 m
[Ques. 9] A jet plane travels around the world at 2000 mi/hr (894 m/s). Two accurate atomic clocks measure the times of flight, one on board the plane and the second on Earth. If it takes 12 hours to complete the journey, what will the time difference (in s) be?
a. 0.75
b. 0.50
c. 0.25
d. 1.0
e. 0.19
[Ques. 10] A 30-year-old woman takes a trip on a rocket, leaving her 20-year-old brother behind. She travels at a speed of 0.8c, and is gone 20 years, according to the younger brother. When she returns, how many years older/younger is she than her brother?
a. 2 years younger
b. 2 years older
c. 3 years older
d. 10 years older
e. 8 years older
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