4. [#224] Artificial gravity a of Science fiction writers imagine a ship in deep space, accelerating at a constant 9.8 m.s 2, which gives the travellers a sensation similar to the weight they feel on the Earth, where falling objects accelerate at g = 9.8 m.s ?. Starting from rest (and ignoring effects due to special relativity), how long does it take such a ship to accelerate to 0.1 times the speed of light c (recalling that c= 3.0*10 m.s ), and how far does it travel during that time? (Note: 0.1 has only 1 sig fig!) Answer: The ship travels for and travels a distance of 4 days, 5 x 10* km 40 days, 5 x 104 km 40 days, 5 x 1010 km O 4 days, 5 x 104 km

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4. [#224] Artificial gravity
a
of
Science fiction writers imagine a ship in deep space, accelerating at a constant 9.8 m.s ?, which gives the travellers
a sensation similar to the weight they feel on the Earth, where falling objects accelerate at g = 9.8 m.s ?. Starting
from rest (and ignoring effects due to special relativity), how long does it take such a ship to accelerate to 0.1 times
the speed of light c (recalling that c= 3.0+10® m.s-1), and how far does it travel during that time? (Note: 0.1 has only
1 sig fig!)
Answer: The ship travels for
and travels a distance of
4 days, 5 x 10° km
40 days, 5 x 104 km
40 days, 5 x 1010 km
4 days, 5 x 1014 km
5. [#225) Drop that ball
You drop a ball, which accelerates downwards with constant acceleration g = 9.8 m.s 2. It falls a distance of 0.50
m to the ground.
The ball hits the ground in
seconds. When it hits the ground, it is travelling at a velocity of m/s. (The up
direction is positive.)
Write your answers below, separated by a comma (ex: a, b). Remember signs and use appropriate significant
figures.
Transcribed Image Text:4. [#224] Artificial gravity a of Science fiction writers imagine a ship in deep space, accelerating at a constant 9.8 m.s ?, which gives the travellers a sensation similar to the weight they feel on the Earth, where falling objects accelerate at g = 9.8 m.s ?. Starting from rest (and ignoring effects due to special relativity), how long does it take such a ship to accelerate to 0.1 times the speed of light c (recalling that c= 3.0+10® m.s-1), and how far does it travel during that time? (Note: 0.1 has only 1 sig fig!) Answer: The ship travels for and travels a distance of 4 days, 5 x 10° km 40 days, 5 x 104 km 40 days, 5 x 1010 km 4 days, 5 x 1014 km 5. [#225) Drop that ball You drop a ball, which accelerates downwards with constant acceleration g = 9.8 m.s 2. It falls a distance of 0.50 m to the ground. The ball hits the ground in seconds. When it hits the ground, it is travelling at a velocity of m/s. (The up direction is positive.) Write your answers below, separated by a comma (ex: a, b). Remember signs and use appropriate significant figures.
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