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?

Category: QuestionsThe 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?
Editor">Editor Staff asked 1 year ago

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 W
 
This 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
Select the correct answer from above options 
Interview Questions and Answers, Database Interview Questions and Answers for Freshers and Experience

1 Answers
Editor">Editor Staff answered 1 year ago

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.