Calculate the change in momentum and force required

What is the change in momentum and force required to drive a vehicle?

A vehicle of mass 1000 kg is driven with a velocity of 8 m/s to a velocity of 12 m/s in time 10s. Calculate the change in momentum and the force required to drive the vehicle.

Answer:

The change in momentum of the vehicle is 4000 kg·m/s. The force required to drive the vehicle is 400 N.

To calculate the change in momentum, we can use the formula:

Change in momentum = mass × change in velocity

The mass of the vehicle is given as 1000 kg. The change in velocity is calculated by subtracting the initial velocity from the final velocity: 12 m/s - 8 m/s = 4 m/s. Therefore, the change in momentum is:

Change in momentum = 1000 kg × 4 m/s = 4000 kg·m/s

To calculate the force required to drive the vehicle, we can use Newton's second law of motion, which states that force is equal to mass times acceleration:

Force = mass × acceleration

The acceleration can be calculated by dividing the change in velocity by the time taken: 4 m/s ÷ 10 s = 0.4 m/s². Therefore, the force required to drive the vehicle is:

Force = 1000 kg × 0.4 m/s² = 400 N