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If two objects collide,one stationary and other with enormous speed,how to find the mass of the stationary body.
Given: the mass of the moving body,speed of the moving body,and density of colliding body.
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Answer:
Explanation:
Law of conservation of momentum,
m1u1 + m2u2 = m1v1 + m2v2.
( Here , we have considered perfectly elastic collision)
Now , let initially m1 be stationary.
So, u1 = 0
→m2u2= m1v1+m2v2
→m2(u2-v2) = m1v1
Now we know that ,
Density = Mass/Volume
And Volume = 4/3×π×r³
→m2 = density × 4/3×π×r³
Let density = p
→→[p×4/3×πr³(u2-v2)] / v1 = m1
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