Under the influence of its drive force, a snowmobile is movingat a constant velo

Question

Under the influence of its drive force, a snowmobile is movingat a constant velocity along a horizontal patch of snow. When thedrive force is shut off, the snowmobile coasts to a halt. Thesnowmobile and its rider have a mass of 136 kg. Underthe influence of a drive force of 195 N, it is movingat a constant velocity whose magnitude is 4.42 m/s.The drive force is then shut off. Find (a) thedistance in which the snowmobile coasts to a halt and(b) the time required to do so.

Chapter 6, Problem 26 GO

Explanation / Answer

   a.   Energy ofsnowmobile   K   =   (1/2)* m * v2   =   0.5 * 136 *4.422   =   1.33 *103   J          According towork energy theorem, the snowmobile will come to halt when energyis used up against the friction. Since snowmobile is moving withconstant velocity, force of friction must be same as appliedforce.    Work done against force offriction   W   =   K    F *d   =   1.33 * 103    distancecovered   d   =   1.33* 103 /195   =   6.82   m    b.   First equation of motionis          v   =   u   +   a* t          a   =   -F / m   =   - 195 /136   =   -1.43   m/s2    ( - ve sign is used as force of frictionopposes motion.)          0   =   4.42   +   (- 1.43) * t       time to come tohalt      t   =   4.42/1.43   =   3.09   s    ( - ve sign is used as force of frictionopposes motion.)          0   =   4.42   +   (- 1.43) * t       time to come tohalt      t   =   4.42/1.43   =   3.09   s

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