Sponsor Area

Work, Energy And Power

Question
CBSEENPH11026426

A body moves from rest with a constant acceleration. Which one of the following graphs represents the variation of its kinetic energy K with the distance travelled (x)?

 

Solution

C.

Kinetic energy is given by,     

      K = 12 mv2

where     v = 0 + αt

∴          K = 12 mα t2

               = 12 m αt2

            K = 12m α2t2

∴   As α = [ L T-2 ]

∴         L ∝ T2

∴         K = 12 m α2.L

∴           K ∝ L

∴           K ∝ x

The graph is straight line.