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Monday, June 1, 2020

The maximum useful output power of a car travelling on a horizontal road is P. The total resistive force acting on the car is kv2, where v is the speed of the car and k is a constant.

Question 42

The maximum useful output power of a car travelling on a horizontal road is P. The total resistive force acting on the car is kv2, where v is the speed of the car and k is a constant.

 

Which equation is correct when the car is travelling at maximum speed?

A v3 = P / k                 B v2 = P / k                 C v = (P/k)2                 D v = (P/k)3





 

Reference: Past Exam Paper – November 2019 Paper 13 Q17





 

Solution:

Answer: A.

Power = P

Resistive force F = kv2


For a body moving with constant speed,

Power P = Force × velocity


P = F × v

P = (kv2) × v

P = kv3


Make v the subject of formula,

v3 = P / k


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