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our battery has died and your friends push your vehicle so you can kick-start the engine. You and the vehicle have a combined mass of 1600 kg. If your friends do 6000 J of work and one-third of that is dissipated by friction, how fast is your vehicle traveling?

1 Answer

6 votes

Answer:2.23 m/s

Step-by-step explanation:

Given

Mass of person and vehicle is
m=1600\ kg

Total work done is
W_t=6000\ J

Friction consumes one-third of the energy

The remaining two-third is consumed to increase the kinetic energy


\Rightarrow (2)/(3)* 6000=(1)/(2)* 1600* v^2\\\\\Rightarrow 4000* 2=1600* v^2\\\\\Rightarrow v=√(5)\ \approx 2.23\ m/s

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