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a) An object has a mass of 88 kg and is moving in a straight line with a speed o

ID: 1601806 • Letter: A

Question

a) An object has a mass of 88 kg and is moving in a straight line with a speed of35 m/s. A force is applied in the direction opposite to its motion that slows it down at a rate of 20 m/s^2 What is the magnitude of the force? b) What distance is traveled while it slows down to rest? c) How much work is done on the object during this process? A solar sail is a possible means of interplanetary travel. It uses the pressure from the sun's light to provided a force on the sail like a regular sailboat does with wind). If the force from the sun's light on the sail is equal to 5.2 Newtons, how fast will the 'sailboat' be going after 3 thousand kilometers? The craft starts from rest and has a mass of 400 kg. (Ignore the effects of gravity in this situation)

Explanation / Answer

3.

(A) F = m a

F = 88 x 2 = 176 N

(B) initial velocity, vi = 35 m/s

final velocity, vf = 0

a = - 2 m/s^2


Applying vf^2 - vi^2 = 2 a d

0^2 - 35^2 = 2 (-2) (d)

d = 306.25 m


(C) Work done = changein KE

= 0 - (88 x 35^2 ) /2

= - 53900 J

OR W = F.d

= - 176 x 306.25

= - 53900 J