Question

A race car has a mass of 650 kg. The engine of the car applies 850 N of force, and the frictional force of the road is 50.0 N. If the race car starts from rest, how far does it travel in 4.0 sec?

Answer 1

To find the distance the race car travels, use the equation: Distance = Initial velocity x Time + 0.5 x Acceleration x Time^2. Substitute the given values and solve for the distance traveled in 4.0 seconds.

Step-by-step explanation:

To find the distance the race car travels, we can use the equation:

Distance = Initial velocity x Time + 0.5 x Acceleration x Time²

Since the race car starts from rest, the initial velocity is 0 m/s. The acceleration can be calculated using Newton's second law:

Force net = mass x acceleration

First, find the net force by subtracting the frictional force from the force applied by the engine:

Force net = Force engine - Force friction

Substitute the given values into the equation and solve for acceleration:

Acceleration = Force net / mass

Once you have the acceleration, substitute the values into the distance equation and solve for the distance traveled by the race car in 4.0 seconds.