Question

A 2000kg car drives along a road accelerating at 3.1 m/s2, the Frictional forces of the wind and the road totals 1500N. What force must the car’s engine exert?

Answer 1

The car's engine must exert a force of 7700 Newtons to achieve an acceleration of 3.1 m/s², considering the frictional forces acting against it.

Step-by-step explanation:

To find the force that the car's engine must exert, we need to consider the net force acting on the car. The net force is responsible for the car's acceleration.

The equation to calculate the net force is:

Net Force = Mass × Acceleration

Where:

Mass (m) = 2000 kg (mass of the car)

Acceleration (a) = 3.1 m/s² (acceleration of the car)

Net Force = 2000 kg × 3.1 m/s²

Net Force = 6200 kg·m/s² (also known as Newtons, N)

Now, we need to take into account the frictional forces acting on the car. The frictional forces total 1500 N, but they act in the opposite direction to the car's motion, so we'll consider them as negative.

Net Force = Force from Engine - Frictional Forces

Substitute the known values:

6200 N = Force from Engine - 1500 N

Now, isolate the force from the engine:

Force from Engine = 6200 N + 1500 N

Force from Engine = 7700 N

So, the car's engine must exert a force of 7700 Newtons to achieve an acceleration of 3.1 m/s², considering the frictional forces acting against it.