Question

A light and a heavy object have the same momentum
Find the ratio of their kinetic energies which one has
a larger K.E​

Answer 1

Answer:

RATIO OF THEIR K.Es=v1:v2

K.E OF LIGHTER OBJECT IS GREATER THAN HEAVIER OBJECT

Explanation:

MOMENTUM=MASS×VELOCITY(p=mv)

K.E=1/2mv*2

LIGHT OBJECT =OBJECT 1

HEAVY OBJECT =OBJECT 2

p1=m1×v1

p2=m2×v2

m1<m2

SO,v1>v2

K.E(OBJECT1)=1/2m1×v1×v1

=1/2p1×v1

K.E(OBJECT2)=1/2m2×v2×v2

=1/2p2×v2

K.E1:K.E2=1/2p1×v1:1/2×p2×v2

p1=p2

v1>v2

SO,K.E of object 1 i.e lighter object is greater than of object 2 i.e heavier object

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