The force required to tow a vehicle at constant velocity is directly proportional to the magnitude of velocity raised to the first power. It requires 1000 W to tow with a velocity of 10 m/s. How much power is required to tow at a velocity of 8 m/s?(a) 320 W(b) 640 W(c) 160 W(d) 80 WThis question was posed to me during a job interview.I would like to ask this question from Power in chapter Work, Energy and Power of Physics – Class 11

The force required to tow a vehicle at constant velocity is directly p

1.	The force required to tow a vehicle at constant velocity is directly proportional to the magnitude of velocity raised to the first power. It requires 1000 W to tow with a velocity of 10 m/s. How much power is required to tow at a velocity of 8 m/s?(a) 320 W(b) 640 W(c) 160 W(d) 80 WThis question was posed to me during a job interview.I would like to ask this question from Power in chapter Work, Energy and Power of Physics – Class 11
Answer» Correct option is (B) 640 W To elaborate: Since force is directly proportional to VELOCITY, the power REQUIRED will be directly proportional to the square of the velocity. Power = Force x Velocity Hence, power is a multiple of 8^2 and an INTEGER such that; 1000/10^2 = P/8^2 P = 640 W.

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