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Submissions Used 1 2 3 0/5 0/5 0/5 ...Sunjamming A \"sun yacht\" is a spacecraft

ID: 1987736 • Letter: S

Question

Submissions Used
1 2 3
0/5 0/5 0/5
...Sunjamming A "sun yacht" is a spacecraft with a large sail that is pushed by sunlight. Although such a push is tiny in everyday circumstances, it can be large enough to send the spacecraft outward from the Sun on a cost-free but slow trip. Suppose that the spacecraft has a mass of 1100 kg and receives a push of 14 N.
(a) What is the magnitude of the resulting acceleration?
1 m/s2
(b) If the craft starts from rest, how far will it travel in 1 day?
2 m
(c) How fast will it then be moving?
3 m/s

Explanation / Answer

A)

F = ma

14 = 1100 x a

a = 0.012727 m/s/s

B)

s = ut + 1/2 at2

= 0 + 1/2 x 0.012727 x (24 x 60 x 60)

= 0.00636 x 864002

= 47477145 m

= 47477 km

C) a = (v-u)/t

0.012727 = v/86400

v = 1099.6 m/s