Under the influence of its drive force, a snowmobile is moving at a constant vel
ID: 1436935 • Letter: U
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 127 kg. Under the influence of a drive force of 205 N, it is moving at a constant velocity whose magnitude is 6.25 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 = smWm/sm/s^2NJ (b) t = m/s^2JNm/smWsExplanation / Answer
when drive force is ON
Fnet = F - fk
Fnet = m*a
since velocity is constant a = 0
Fnet =0
F = fk
after the drive dorce is OFF
only force = fk
Work done = -fk*s
work done = change in KE = -0.5*m*v^2
therefore
fk*s = 0.5*m*v^2
205*s = 0.5*127*6.25^2
s = 12.1 m <<<--------------answer
In uniform accelration
s = average velocity *time
12.1 = (6.25+0)*t/2
t = 3.872 s <<<<--------------answer
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