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Consider the following statements
1. A light and a heavy body, having equal momenta, have equal kinetic energies.
2. The total energy of a body in motion is equal to the work it can do in being brought to rest.
3. A body cannot have momentum when its energy is zero.
Which of these statement(s) is/are correct?
1 and 2
2 and 3
Only 2
Only 3
Because they have equal momentum, hence equal mv , the heavy body will move very slowly and the light body will move very quickly. As Kinetic energy is 1/2 mv². Thus the speed of the light body will be high giving a higher kinetic energy to it in comparison to the kinetic energy of heavy body.
Yes, it is correct the total energy of a body in motion is equal to the work done it can do before coming to rest.
For example a ball thrown on a glass pane window with an initial velocity will acquire kinetic energy as it is in motion it will do work on glass pane and thus break It before coming to rest, this work done is equal to a its kinetic energy. following the law of conservation of matter that energy can neither be created nor be destroyed and it can change from only one form to another form.
By: Amit Kumar ProfileResourcesReport error
Shweta Maini
Please explain why statement 2 is wrong
rectified
Paramvir Gill
hello Madam .. may you please give an example by having sample m1,v1 and m2,v2 values to explain why point 1 is not correct? i think the kinetic energies can be same even if the two bodies have different mass and velocity. ( it depends on the values of mass and velocity) . also explain why point 2 is not correct.
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