Question 1012422
Conservation of momentum.
{{{m[1]v[1]=(m[1]+m[2])v[2]}}}
{{{5000(3)=(5000+2500)v[2]}}}
{{{15000=7500v[2]}}}
{{{v[2]=2}}}{{{m/s}}}
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Initially,
{{{E[1]=(1/2)(5000)(3)^2}}}
{{{E[1]=22500}}}{{{J}}}
Then,
{{{E[2]=(1/2)(7500)(2)^2}}}
{{{E[2]=15000}}}{{{J}}}
So,
{{{DELTA*E=E[2]-E[1]}}}
{{{DELTA*E=15000-22500}}}
{{{DELTA*E=-7500}}}{{{J}}}
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Impulse equals the momentum change of the car.
{{{I=m(v[2]-0)}}}
{{{I=2500(2)}}}
{{{I=5000}}}{{{(kg*m)/s}}}