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A 15,000lb freight car is pulled along a horizontal track. Ifthe car starts from rest and attains a velocity of 40ft/s aftertraveling a distance of 300ft. determine the total work done on the car by the
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A 15,000lb freight car is pulled along a horizontal track.

Ifthe car starts from rest and attains a velocity of 40ft/s
aftertraveling a distance of 300ft.
determine the total work done on the car by the towing forcein
this distance if the rolling frictional force between the carand
the track is 80lb.

User Gsaslis
by
6.0k points

1 Answer

5 votes

Answer:

12024000 lb*ft

Step-by-step explanation:

The total work will be the sum of the energy consumed by friction plus the kinetic energy the car attained.

L = Ek + Lf

Lf = Ff * d

Ek = 1/2 * m * v^2

Therefore:

L = Ff * d + 1/2 * m * v^2

L = 80 * 300 + 1/2 * 15000 * 40^2 = 12024000 lb*ft

THe total work done on the car is of 12024000 lb*ft

User RenatoSz
by
6.9k points
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