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.
A body of mass m1 collides head-on elastically with mass m2.if velocit...
To make sure you are not studying endlessly, EduRev has designed NEET study material, with Structured Courses, Videos, & Test Series. Plus get personalized analysis, doubt solving and improvement plans to achieve a great score in NEET.