A 2100 kg car traveling to the right at 26 m/s is chasing a second car of the sa

Question

A 2100 kg car traveling to the right at 26 m/s is chasing a second car of the same mass that is traveling to the right at 10 m/s. If the two cars collide and stick together, what is their speed just after the collision? ______________ m/s What fraction of the initial kinetic energy of the cars is lost during this collision? ________________ Where does it go? It is returned to the Universe. It is transmitted to the road. It is converted to momentum. It is transformed Into heat, sound, and the deformation of the metal. No kinetic energy is lost.

Explanation / Answer

step;1

Given that

mass m1=m2=2100 kg

initial speed u1=26 m/s

initial speed u2=10 m/s

step;2

now we find the velocity after collision

the velocity V=m1u1+m2u2/m1+m2

=2100[26+10]/[2100+2100]

=18 m/s

step;3

now we find the loss of kinetic energy

initial kinetic energy E1=1/2*2100*26^2+1/2*2100*10^2=709800+105000=814800 J

finial kinetic energy E2=1/2[2100+2100]*18^2=680400 J

loss of kinetic energy =E1-E2=814800-680400=134400 J

it is transmitted in to the road

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