Question

A5 kg and a 12-kg object approach each other with equal velocities of 25 m/s. What are the velocities after impact if collision is

(a) completely inelastic

b) perfectly elastic

plz answer with diagram

Answer #1

step;1

Given that

mass m1=5 kg

mass m2=12 kg

velocity u1=25 m/2

veloccity u2=-25 m/s

step;2

now we find the finial velocitys of objects in inelastic collision

inthe case of perfect elastic collision

using the law of conservation of energy

m1u1+m2u2=[m1+m2]V

5*25-12*25=[5+12]V

V=-10.3 m/s

step;3

now we find the perfectly elastic collsion

finial velocity of first object V1=(m1-m2)u1/(m1+m2)+2m2u2/(m1+m2)

=(5-12)*25/(5+12)-2*12*25/(12+5)

=-10.3-35.3

=-45.6 m/s

step;3

now we find the velocitiies of second body

V2=2*5*25/(17)+(12-5)*25/17

=14.71-10.3

=4.41 m/s

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