Physics Work & Energy MDCAT 2019
PMDC Verified Question 80 of 108
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 does not change
B
It is halved
C
It is squared
D
It is doubled
Tap any option to test your recall and reveal the step-by-step Propolis autopsy.

Propolis Cognitive Error Autopsy

Official Correct Choice:
Option D: It is doubled
Concept:

Power output is directly proportional to both the force exerted and the velocity at which the object moves.

Formula:

$$ P = F \times v $$

Solution:

  • Initial Power \( P = Fv \)


  • New Force = \( 2F \)


  • Velocity remains \( v \)


  • New Power \( P' = (2F)v = 2(Fv) = 2P \)


  • Thus, the power is doubled.


Why other options are incorrect:

Since the relationship is strictly linear, doubling one variable (while keeping the other constant) doubles the product. It does not square it or halve it.

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