A 31.0 kW electric motor drives a vehicle at an average velocity of 9.20 m/s. Assuming a constant force is applied in the direction of the vehicles motion, what is the magnitude of the applied force?

Respuesta :

The magnitude of the applied force is 3369.57 N.

 

What is Force?

Force can be defined as the product of mass and acceleration.

To calculate the magnitude of the applied force, we use the formula below.

Formula:

  • P = Fv................ Equation 1

Where:

  • P = Power of the electric motor
  • F = Applied force
  • v = Velocity

Make F the subject of the equation

  • F = P/v................. Equation 2

From the question.

Given:

  • P = 31 kW = 31000 W
  • v = 9.2 m/s

Substitute these values into equation 2

  • F = 31000/9.2
  • F = 3369.57 N

Hence, the magnitude of the applied force is 3369.57 N.

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