show that two Bodies of equal
masses undergoing an oblique
collision moves
right angles to
each other after the collision
Answers
show that two bodies of equal masses undergoing oblique collision move at right angles to each other after collision. ... Consider two bodies of equal masses m and they undergo oblique elastic collision . ' u ' is the initial velocity of first body , collides with second body which is at rest .
Explanation:
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Answer: Let the equal masses be m and their initial velocities be u and zero respectively.
Since momentum is a vector, according to conservation of momentum we have
mu = mv1cos1 + mv2cos2
i.e., u = v1cos1 + v2cos2 (i)
and 0 = v1sin1 - v2sin2 (ii)
Being an elastic collision, kinetic energy is also conserved.
Squaring and adding (i) and (ii), we get
Using (iii) in the above equation, we have
i.e., the masses move at right angles after the collision.
Explanation: