Question

17. A car of mass m is driven by power P = kt, where k
is a constant and t is time. If car starts from rest,
then force acting on the car at time t is​

Answer 1

Explanation:

Given  A car of mass m is driven by power P = kt, where k  is a constant and t is time. If car starts from rest,  then force acting on the car at time t is

• The rate of change of kinetic energy is power.
• So P = dK / dt
• Where dk is change in kinetic energy and dt is interval of time.
• So P = dw/dt
•        W = PT
•             = 1/2 mv^2
• So v = √2Pt / m
• Acceleration a = dv / dt
•                       = √2P / m x 1 / 2 √t
• Now force f = ma
•                   = √2km^2/m x 1/2√t
•                  = √km / 2t

                 = √mk / 2 t^-1/2  

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