Question

An automobile is moving forwards with uniform velocity due to the force exerted by
its engine. If that force is double with the velocity remaining constant what happens
to its total power?
A) It is doubled
C) It is squared
B) It does not change
D) It is halved
​

Answer 1

Answer:

Option (A) Total Power will be doubled.

Explanation:

From Kinematics we know;

Power (P) = Force (F) × Velocity (v) ...equation (1)

The automobile is moving forwards with uniform velocity because in this dynamic equilibrium the resistive force (Friction) is equal with the force applied by engine.

If force exerted by the engine is doubled remaining the velocity of automobile constant;

From equation 1 we can see that;

$P= F × v \\ or \: 2P=2F × v$

So we get;

The Total Power will be doubled.