A motorbike engine can develop a power of 90000 W in order to keep a constant velocity of 30 m/s. What is the pushing force?

Respuesta :

P = FV

P = power which is 90000W
F = force
V = velocity which is 30m/s

Therefore, 90000 = 30F
F = 3000 N

The pushing force on the motor bike is 3000 Newtons.

Given the data in the question;

  • Power of the engine; [tex]P = 90000W[/tex]
  • Velocity; [tex]V = 30m/s[/tex]

Pushing Force; [tex]F = \ ?[/tex]

Power is simply the amount of energy transferred per unit time.

It can be expressed as:

[tex]P = F * V[/tex]

Where F is force applied and V is velocity

We substitute our given values into the equation

[tex]90000W = F\ *\ 30m/s\\\\90000 kg.m^2/s^3 = F\ *\ 30m/s\\\\F = \frac{90000 kg.m^2/s^3}{30m/s} \\\\F = 3000 kg.m/s^2\\\\F = 3000N[/tex]

Therefore, the pushing force on the motor bike is 3000 Newtons.

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