PHYSICS
JAMB 2000 - Question 9
Physics 2000 JAMB Past Questions - Question 9: If the force and the velocity on a system are each reduced simultaneously by half, the power of the system is
A:
B:
C:
D:
Correct Answer
C
Explanation
V1=2V2and F1=2F2Power =Force*Speedp1/p2 =F1V1/F2V2 =2V22F2 /V2F2 ;P2=P1/4Power is defined as the rate at which work is done or energy is transferred. It can be calculated using the formula:
Power (P) = Force (F) x Velocity (V)
If both the force and velocity on a system are reduced by half, you can express this as follows:
New Force = 0.5 * Old Force
New Velocity = 0.5 * Old Velocity
Now, calculate the power of the system with the new values:
New Power (P') = New Force (F') x New Velocity (V')
P' = (0.5 * Old Force) x (0.5 * Old Velocity)
P' = 0.25 * (Old Force x Old Velocity)
So, when both the force and velocity are reduced by half, the power of the system becomes one-fourth (1/4) of the original power.
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