Question

The car shown above has a mass of 2,000 kg and starts from rest. The net force is applied for 5 seconds. How fast is the car moving now?

a.) 400 m/s
b.) 200 m/s
c.) 100 m/s
d.) 50 m/s

Answer 1

The car is moving at a speed of 0.75 m/s after the net force is applied for 5 seconds.

Step-by-step explanation:

To find the speed of the car after the net force is applied for 5 seconds, we need to determine the acceleration first. The force required to overcome friction and accelerate the car is equal to the product of mass and acceleration, so we can use the equation:

Force = mass × acceleration

Since we know the mass of the car (2,000 kg) and the force of friction (300 N), we can rearrange the equation to solve for acceleration:

Acceleration = Force / mass = 300 N / 2,000 kg = 0.15 m/s²

Next, we can use the equation for acceleration to find the final velocity of the car:

Final velocity = Initial velocity + (acceleration × time)

Since the car starts from rest (initial velocity = 0 m/s) and the net force is applied for 5 seconds, we can substitute the values into the equation:

Final velocity = 0 + (0.15 m/s² × 5 s) = 0.75 m/s

Therefore, the car is moving at a speed of 0.75 m/s after the net force is applied for 5 seconds.