Problem 4.43 A 1240-kg car pulls a 360-kg trailer. The car exerts a horizontal f

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Question

Problem 4.43

A 1240-kg car pulls a 360-kg trailer. The car exerts a horizontal force of 3.6 × 103 N against the ground in order to accelerate.

Part A

What force does the car exert on the trailer? Assume an effective friction coefficient of 0.16 for the trailer.

Express your answer to two significant figures and include the appropriate units.

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4612.8 N

Problem 4.43

A 1240-kg car pulls a 360-kg trailer. The car exerts a horizontal force of 3.6 × 103 N against the ground in order to accelerate.

Part A

What force does the car exert on the trailer? Assume an effective friction coefficient of 0.16 for the trailer.

Express your answer to two significant figures and include the appropriate units.

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FTC =

4612.8 N

Mass of car = 1240 kg

Mass of trailer = 360 kg

The car exerts a horizontal force of 3.6 × 103 N against the ground in order to accelerate.

Part A

An effective friction coefficient of 0.16 for the trailer.

Let force exerted by car on the trailer is = F

Since the car and the trailer is attached both will move with the same acceleration.

Acceleration = Net Force / Total mass

Net Force = 3.6 × 103 - Friction force on trailer

= 3600 - 0.16*300*9.8

= 3600 - 470.4

=3129.6 N

Acceleration = Net Force / Total mass

= 3129.6 / (1600) = 1.956 m/s2

Now F - Friction force on trailer = 360*1.956

F = 470.4 + 704.16 = 1174.56 N

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