Question

A vehicle with a mass of 200kg is driven at constant acceleration of 2m/s2 along a straight level against constant resistance 50N. When the velocity of the vehicle is 10m/s, what is the power of the engine?

Answer 1

To find the power of the engine, we can use the formula:

Power = Force × Velocity

The force acting on the vehicle can be determined by subtracting the resistance force from the net force:

Net Force = Mass × Acceleration

Given: Mass (m) = 200 kg Acceleration (a) = 2 m/s² Resistance Force (Fr) = 50 N Velocity (v) = 10 m/s

Net Force = 200 kg × 2 m/s² Net Force = 400 N

Now we can calculate the power:

Power = (Net Force - Resistance Force) × Velocity

Power = (400 N - 50 N) × 10 m/s Power = 350 N × 10 m/s Power = 3500 W (watts)

Therefore, the power of the engine is 3500 watts.