Under the influence of its drive force, a snowmobile is moving at a constant vel

Question

Under the influence of its drive force, a snowmobile is moving at a constant velocity along a horizontal patch of snow. When the drive force is shut off, the snowmobile coasts to a halt. The snowmobile and its rider have a mass of 120 kg. Under the influence of a drive force of 190 N, it is moving at a constant velocity whose magnitude is 4.02 m/s. The drive force is then shut off. Find (a) the distance in which the snowmobile coasts to a halt and (b) the time required to do so. (a)s- (b)t- Click if you would like to Show Work for this question: Open Show Work

Explanation / Answer

apply Newton second law , the net force act on snow mobile is

F = ma

a = F/m = 190/120 = 1.583 m/s^2

(a)

Apply kinematic equation

v^2 - u^2 = 2 as

0- (4.02)^2 = 2(-1.583) s

s= 5.10 m

(b)

Apply kinematic equaton

v= u+ at

t = v-u/a

= 0-4.02/-1.583

= 2.53 s

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