A 12kW motor moves a 1000kg car at what constant velocity, if the motor applies a force that equals 2000N? Also, of the motor for 2.75s, what amount of work has the motor done on the car. (Show working out)

Question

Madden Jordan

Physics

10 May, 22:36

A 12kW motor moves a 1000kg car at what constant velocity, if the motor applies a force that equals 2000N? Also, of the motor for 2.75s, what amount of work has the motor done on the car. (Show working out)

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Answers (1)

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Adison Webb · Answer 1

Given data

Power = 12 KW,

mass (m) = 1000 kg,

Force (F) = 2000 N,

time (t) = 2.75 s

Determine

1. Velocity (v) = ?

2. Work (W) = ?

We know that Power (P) = Rate of doing work

= (Work : time) KW

Also we know that Work = F * displacement

Force = m. a N

=> 2000 = 1000 * a

=> a = 2 m/s²

And we know that acceleration (a) = rate of change of velocity

= v : t

=> v = a * t

= 2 * 2.75

= 5.5 m/s

Now determine the Power P = Work done : time

12 = W : 2.75

W = 12 * 2.75

= 33 KJ

= 33000 J