Particle 1 of mass 258 g and speed 3.15 m/s undergoes a one-dimensional collisio

Question

Particle 1 of mass 258 g and speed 3.15 m/s undergoes a one-dimensional collision with stationary particle 2 of mass 429 g. What is the magnitude of the impulse on particle 1 if the collision is (a) elastic and (b) completely inelastic?

(a) Number Enter your answer for part (a) in accordance to the question statement Units Choose the answer for part (a) from the menu in accordance to the question statement

This answer has no units° (degrees)mkgsm/sm/s^2NJWN/mkg·m/s or N·sN/m^2 or Pakg/m^3gm/s^3times

Explanation / Answer

a)

By Conservation of momentum

m1U1+m2U2=m1V1+m2V2

258*3.15+0=258*V1+429V2

V1=3.15-1.6628V2

By Conservation of energy

(1/2)m1U12+(1/2)m2U22=(1/2)m1V12+(1/2)m2V22

0.258*3.152+0 =0.258*(3.15-1.6628V2)2+0.429V22

1.1423V22-0.858V2=0

V2=0.7511 m/s

=>V1=3.15-1.6628*0.7511 =1.901 m/s

Impulse

I=0.258(1.901-3.15) =-0.322 N-s

b)

By Conservation of momentum

m1V1+m2V2=(m1+m2)V

0.258*3.15+0=(0.258+0.429)V

V=1.183 m/s

Impulse

I=0.258(1.183-3.15)=-0.5075 N-s

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