Text Solution 2 times 4 times 8 times 16 times Solution : Suppose Initial mass `(m _(1)) = m kg` <br> Initial velocity `(v _(1)) = v m//s` <br> Given `m _(2) = 2m kg ` <br> `v _(2) = 2v m//s` <br> Initial kinetic energy, `K _(1) = (1)/(2) mv ^(2) ...(1)` <br> Final kinetic energy, `K _(2) = (1)/(2) xx 2m xx 4v ^(2)` <br> `(K _(1))/( K _(2)) = (1 xx mv ^(2)) /( 2 xx 4 mv ^(2)) ....(2)` <br> `= 1/8` <br> `K _(2) = 8 K _(1)`
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Answer: A Explanation: Kinetic energy is the energy of mass in motion. The kinetic energy of an object is the energy it has because of its motion. ... When we double the mass, we double the energy; however, when we double the velocity, energy increases by a factor of four.
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