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A \"sun yacht\" is a spacecraft with a large sail that is pushed bysunlight. Alt

ID: 1742651 • Letter: A

Question

A "sun yacht" is a spacecraft with a large sail that is pushed bysunlight. Although such a push is tiny in everyday circumstances,it can be large enough to send the spacecraft outward from the Sunon a cost-free but slow trip. Suppose that the spacecraft has amass of 1200 kg and receives a push of22 N. (a) What is the magnitude of the resultingacceleration?
1 m/s2

(b) If the craft starts from rest, how far will it travel in 1day?
2 m

(c) How fast will it then be moving?
3 m/s (a) What is the magnitude of the resultingacceleration?
1 m/s2

(b) If the craft starts from rest, how far will it travel in 1day?
2 m

(c) How fast will it then be moving?
3 m/s

Explanation / Answer

(a) The acceleration                 a = F /m = 27N / 1200 = 0.0225 m/s2 (b) The distance travelled in t = 1day = 24hr          x = 1/2 at2 = 1/2 (0.0225) (24*3600) = 972m (c) The speed v = at = 0.0225*24*3600 = 1944m/s
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