A 940 kg car is pulling a 305 kg trailer. Together, the car and trailer have an

Question

A 940 kg car is pulling a 305 kg trailer. Together, the car and trailer have an acceleration of 2.20 m/s2 in the forward direction. Neglecting frictional forces on the trailer, determine the following. (Indicate the direction with the sign of your answer. Take the forward direction to be positive.)
(a) the net force on the car
1 N

(b) the net force on the trailer
2 N

(c) the force exerted by the trailer on the car
3 N

(d) the resultant force exerted by the car on the road
magnitude 4 N
direction 5° (below the horizontal from the forward direction)

Explanation / Answer

Mass of the car = 940 kg Mas of the trailer = 305 kg Accleration of the car =  2.20 m/s2 Acceleration of the trailer = 2.20 m/s2 (a) Net force acting on the car is               F = ma                  = (940 kg + 305 kg)(2.20 m/s2)                  = 2739 N (b) Net force acting on the trailer is              F = ma                  = (305 kg)(2.20 m/s2)                  = 671 N (c) The force exerted by the trailer on the car is            F = 671 N (according to the Newton's third law of motion) (d) Force exerted by the car on the road is              F = (940 kg)(9.80 m/s2)                 = 9212 N Direction is downwards (a) Net force acting on the car is               F = ma                  = (940 kg + 305 kg)(2.20 m/s2)                  = 2739 N (b) Net force acting on the trailer is              F = ma                  = (305 kg)(2.20 m/s2)                  = 671 N (c) The force exerted by the trailer on the car is            F = 671 N (according to the Newton's third law of motion) (d) Force exerted by the car on the road is              F = (940 kg)(9.80 m/s2)                 = 9212 N Direction is downwards

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