Two bodies of mass m1 nbsp-and m2-m1 gt-m2- have equal kinetic energies-Which nbsp-will have more momentum-

Dear Student, p=2mEwhere, #160;p=momentumE=kinectic #160;energym=mass #160;of #160;bodyp1=2m1E1p2=2m2E2E1=E2and #160;m1 #62;m2Hence, #160;momentu ...

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Standard X

Physics

Kinetic Energy

two bodies of...

Question

two bodies of mass m1 and m2(m1>m2) have equal kinetic energies.Which will have more momentum?

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Solution

Dear Student,

$p = \sqrt{2 mE} where, p = momentum E = kinectic energy m = mass of body p_{1} = \sqrt{2 m_{1} E_{1}} p_{2} = \sqrt{2 m_{2} E_{2}} E_{1} = E_{2} and m_{1} > m_{2} Hence, momentum of 1 st body is more which is p_{1} .$

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two bodies of mass m1 and m2(m1>m2) have equal kinetic energies.Which will have more momentum?

Dear Student, p=2mEwhere, p=momentumE=kinectic energym=mass of bodyp1=2m1E1p2=2m2E2E1=E2and m1>m2Hence, momentum of 1st body is more which is p1.

Dear Student,

$p = \sqrt{2 mE} where, p = momentum E = kinectic energy m = mass of body p_{1} = \sqrt{2 m_{1} E_{1}} p_{2} = \sqrt{2 m_{2} E_{2}} E_{1} = E_{2} and m_{1} > m_{2} Hence, momentum of 1 st body is more which is p_{1} .$