The engine of the car develops a driving force of 4000N. Air resistance also acts on the car, with a force of R. If the car has a mass of 1000kg, and is accelerating at 1.5m/s^2, calculate the magnitude of R.

Question

Payton Higgins

Physics

2 April, 18:48

The engine of the car develops a driving force of 4000N. Air resistance also acts on the car, with a force of R. If the car has a mass of 1000kg, and is accelerating at 1.5m/s^2, calculate the magnitude of R.

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Answers (1)

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Chambers · Answer 1

R = - 2500N

Explanation:

Use formula ΣF = Ma. We can split the Net Force into two parts: Fe - Ff = Ma.

Fe is the force developed by the engine: 4000N

Ff (R) is the air resistance projected on the vehicle. This is the value we're looking for.

Mass: 1000kg

Acceleration: 1.5m/s^2

Next, just plug in the values and solve.

▪4000N - Ff = (1000kg) (1.5m/s^2)

▪Ff = 1500N - 4000N

▪Ff = - 2500N

R = - 2500N.

The air resistance acting on the car is R = - 2500N.