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A body of mass m1 collides head-on elastically with mass m2.if velocity of m1 before and after collision is V and -V/3 resp.then value of m1/m2?
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A body of mass m1 collides head-on elastically with mass m2.if velocit...
Problem: A body of mass m1 collides head-on elastically with mass m2. If the velocity of m1 before and after the collision is V and -V/3 respectively, then what is the value of m1/m2?

Solution:

Understanding Elastic Collision: Elastic collision is a type of collision in which there is no loss of kinetic energy. In other words, the total kinetic energy before and after the collision remains the same.

Formula: The formula to calculate the velocities of the two masses after the collision is given by:

m1u1 + m2u2 = m1v1 + m2v2 ---(1)

where,
m1 and m2 are the masses of the two bodies,
u1 and u2 are their initial velocities,
v1 and v2 are their final velocities.

Applying the Formula: As given in the problem, the collision is head-on elastic, which means that the total kinetic energy before and after the collision remains the same.

Therefore, using the formula (1), we can write:

m1v + m2u = m1u + m2v

Substituting the given values, we get:

m1(-V/3) + m2(0) = m1(V) + m2(0)

Simplifying the above equation, we get:

m1/m2 = 9/1

Therefore, the value of m1/m2 is 9/1.

Conclusion: In conclusion, we can say that the value of m1/m2 in a head-on elastic collision, where the velocity of m1 before and after the collision is V and -V/3 respectively, is 9/1.
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A body of mass m1 collides head-on elastically with mass m2.if velocit...
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A body of mass m1 collides head-on elastically with mass m2.if velocity of m1 before and after collision is V and -V/3 resp.then value of m1/m2?
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