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 138 kg. Under the influence of a drive force of 195 N, it is moving at a constant velocity whose magnitude is 6.13 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.

Explanation / Answer

since the acceleartion of the cart is zero. frictional force = drive force => f = 195 N deceleration of the cart after drive force is shut off = f/m = 195/138 = 1.413 m/s^2 a). v^2 - u^2 = 2*a*s => 0 - 6.13^2 = 2*(-1.413)*s => s = 13.297 m b). v = u + a*t => 0 = 6.13 - 1.413*t => t = 4.338 s

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