The work done to bring a body moving with a velocity 6 m/s to rest is 72 joules. What is the mass of the body?
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Answer:
Work Done = The Change in Kinetic Energy
= 1/2mv2 - 1/2 mu
The Mass of car = 1500 kg
Intial Velocity = 36 km/h
= 36 * 5 / 18
= 2 * 5
= 10 m/s
Final Velocity = 72 km/hr
= 72 * 5/18
= 5 * 4
= 20 m/s
Work Done = 1/2 mv2 - 1/2 mu2
= 1/2 m(v2 - u2)
= 1/2 * 1500 ( 20 * 20 - 10 * 10)
= 750 ( 400 - 100)
= 750 * 300
= 225000 J
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