Special Relativity-Length, Momentum, and Energy 1. Pretend we are on a space mission to Jupiter. Our instruments detect an identical sister station, Alpha Alberta, moving away from us at 80% of the speed of light. Our instruments reveal that, compared to our station, space a. clocks and events on Alpha Alberta are (slow) (fast) (the same) b. the length of Alpha Alberta in its direction of motion appears (shorter) (longer) (the same) c. the momentum of Alpha Alberta is (more) (less) (the same)

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Chapter1: Units, Trigonometry. And Vectors
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Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...
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16-1
Special Relativity-Length, Momentum, and Energy
1. Pretend we are on a space mission to Jupiter. Our instruments detect an identical sister space
station, Alpha Alberta, moving away from us at 80% of the speed of light. Our instruments reveal
that, compared to our station,
a. clocks and events on Alpha Alberta are
(slow) (fast) (the same)
b. the length of Alpha Alberta in its direction of
motion appears
(shorter) (longer) (the same)
c. the momentum of Alpha Alberta is
(more) (less) (the same)
Occupants on Alpha Alberta are making measurements of us. They observe that, compared to
their station,
d. clocks and events on our space station are
(slow) (fast) (the same)
e. the length of our space station is
(shorter) (longer) (the same)
f. our momentum is
(more) (less) (the same)
2. A gram of water has a volume of 1 cubic centimeter, about the size of a sugar cube. A gram of iron
has a smaller volume, about the size of a pea, and a gram of platinum is even smaller, about the
size of a small raisin. In a gram of any kind of matter is an equivalent vast amount of rest energy.
We can see how much energy a gram of matter is equal to in joules from the celebrated equation
E = mc, where m = 1 g= 10 kg, and c 3 x 10 m/s. Then
BURN 15 000 BARRELS OF OIL
AND YOU EQUAL THE ENERGY
EQUIVALENT OF ANY GRAM.
OF MATTER !
E = mc (10 kg) (3 x 10 m/s)2 =9x 109 J
%3D
In comparison, one barrel of crude oil when burned yields
6 x 109 J. According to this data, is the statement by the
man at the right an overestimate, an underestimate, or
accurate? Defend your answer.
Transcribed Image Text:Practice Page 16-1 Special Relativity-Length, Momentum, and Energy 1. Pretend we are on a space mission to Jupiter. Our instruments detect an identical sister space station, Alpha Alberta, moving away from us at 80% of the speed of light. Our instruments reveal that, compared to our station, a. clocks and events on Alpha Alberta are (slow) (fast) (the same) b. the length of Alpha Alberta in its direction of motion appears (shorter) (longer) (the same) c. the momentum of Alpha Alberta is (more) (less) (the same) Occupants on Alpha Alberta are making measurements of us. They observe that, compared to their station, d. clocks and events on our space station are (slow) (fast) (the same) e. the length of our space station is (shorter) (longer) (the same) f. our momentum is (more) (less) (the same) 2. A gram of water has a volume of 1 cubic centimeter, about the size of a sugar cube. A gram of iron has a smaller volume, about the size of a pea, and a gram of platinum is even smaller, about the size of a small raisin. In a gram of any kind of matter is an equivalent vast amount of rest energy. We can see how much energy a gram of matter is equal to in joules from the celebrated equation E = mc, where m = 1 g= 10 kg, and c 3 x 10 m/s. Then BURN 15 000 BARRELS OF OIL AND YOU EQUAL THE ENERGY EQUIVALENT OF ANY GRAM. OF MATTER ! E = mc (10 kg) (3 x 10 m/s)2 =9x 109 J %3D In comparison, one barrel of crude oil when burned yields 6 x 109 J. According to this data, is the statement by the man at the right an overestimate, an underestimate, or accurate? Defend your answer.
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