1.

Find the height from which body of a mass 50kg should fall in order to have the K.E of a car of mass 200kg travelling at 10ms-1 Given g = 9.8ms-2.

Answer»

Mass of a body, m1 = 50 kg

Mass of car m2 = 200kg

velocity of the car v = 10ms-1 g = 9.8ms-2

P.E of the body, P.E = mgh

= 50 × 9.8 × h

= 490h

K.E of the car K.E = \(\frac{1}{2}\)m2v2

\(\frac{1}{2}\)× 200 × 102

= 10,000J

But P.E of body = K.E of car

490h = 10,000

h = \(\frac{10,000}{490}\) = 20.41 m.



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