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Question

Two blocks of masses 10 kg and 20 kg moving at speeds 10 ms1 of and 20 ms1 respectively in opposite directions, approach each other and collide. If the collision is completely inelastic. Find the thermal energy developed in the process.

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Solution

According to equation of conservation of momentum.

(20)2(10)2=30V

400100=30V

300=30V

V=30030

V=10

From conservation of the energy.
12[20×(20)2+10×102]=H+12[30×(10)2]

12[8000+1000]=H+12(3000)

9000230002=H

H=60002

H = 3000 J

H = 3 KJ

So,
the thermal energy developed in the process is 3 KJ.

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