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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 240 N, it is moving at a constant velocity whose magnitude is 5.44 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.

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 240 N, it is moving at a constant velocity whose magnitude is 5.44 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.

check_circleAnswer
Step 1

Given:

Driving force, F = 240N
Mass, m138kg
Velocity, 5.44 m/s
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Driving force, F = 240N Mass, m138kg Velocity, 5.44 m/s

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Step 2

Calculation:

a) According to work energy theorem we have,

W AE
er
Where
W=Total work done
Change in energy
AE
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W AE er Where W=Total work done Change in energy AE

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Step 3

So, work done by t...

Fd E-E
where
E,=Final energy
E, = Initial energy
F Driving force
d Distance
1
1
Fd=-
2
2
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Fd E-E where E,=Final energy E, = Initial energy F Driving force d Distance 1 1 Fd=- 2 2

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Work,Power and Energy

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