A ball of mass 0.506 kg moving east (+x direction) with a speed of 3.76 m/s collides head-on with a 0.253 kg ball at rest. Assume that the collision is perfectly elastic. What is be the speed of the 0.506-kg ball after the collision?

Respuesta :

Given:

m1=0.506kg

u1=3.76m/s

m2=0.253kg

u2=0

Find=v1

Solution:

After collision masses travels with velocity v1 and v2

Conserving Momentum

m1u1+m2u2=m1v1+m2v2................... (i)

by Conservation of Energy

1/2.m1u1²₊1/2.m2u2²=1/2.m1v1²₊1/2.m2v2²....................(ii)

After simplifying both (i) and (ii) equation

v1=(m1-m2/m1₊m2)u1

v2=(2m1/m1₊m2)u1

v1=((0.506-0.253)/(0.506+0.253))x3.76 m/s

v1=1.253 m/s

Law of Conservation of Energy

The law of conservation of energy states that energy is neither created nor destroyed, and can only be converted from one form of energy to another.

Conservation of momentum

Conservation of momentum states that within a problem region, the amount of momentum remains constant.

To learn more about Conservation of momentum concept, Visit this link

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