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A 620 kg car pulling a 540 kg trailer accelerates forward at a rate of 2.27 m/s². Assume frictional forces on the trailer are negligible. Ignore air drag.

(a) Calculate the net force (in N) on the car.

Magnitude: ______ N
Direction: ______

Answer :

The net force on a 620 kg car pulling a 540 kg trailer with an acceleration of 2.27 m/s² is calculated using Newton's second law. The magnitude of the net force is found to be 2632 N, and its direction is forward.

To calculate the net force on a car pulling a trailer, we can use Newton's second law of motion, which states that force equals mass times acceleration (F = ma). Since the total mass being accelerated is the mass of the car plus the mass of the trailer, we first sum these to get the total mass. Next, we multiply this total mass by the given acceleration to find the net force.

In the case of a 620 kg car pulling a 540 kg trailer with an acceleration of 2.27 m/s², the calculation will be:

  • Total mass (m) = mass of car + mass of trailer = 620 kg + 540 kg = 1160 kg
  • Acceleration (a) = 2.27 m/s²
  • Net force (F) = m imes a = 1160 kg imes 2.27 m/s² = 2632 N

The magnitude of the net force on the car is therefore 2632 N in the direction of acceleration, which is forward.

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