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

ID: 1722656 • 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 1000 kg and receives a push of22 N. (a) What is the magnitude of the resultingacceleration?____ m/s2

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

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

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

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

Explanation / Answer

    Mass of the spacecraft, M = 1000 kg     Forse of push , F = 22 N     Time of travel , t = 1 day = 86400 s     Initial velocity, U = 0 (a)     Acceleration, a = F / M = 22 / 1000 = 0.022 m/s^2 (b)     S = U t + ( 1/2 ) at2       S = 0 + ( 1/2 ) * 0.022 *864002         = 82114560 m      Distance travelled, S = 8.2 X 107 m (c)     Final velocity , V = U + at                               = 0.022 * 86400                               = 1900.8 m/s

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