Explain the difference between
potential energy and kinetic energy.
b. Derive the formula for the kinetic
energy of an object of mass m,
moving with velocity
Answers
Question:-
Explain the difference between
kineticenergy of an object of mass m,
rgy.b. Derive the formula for the kineticenergy of an object of mass m,mov_ing with velocity
Answer:
Let an external forc_e be applied on it so that gets displa_ced by dista_nce s and its velocity beco_mes v. In this scenario, the kinetic ene_rgy of the moving b_ody is equal to the wo_rk that was required to change its velocity from u to v.
rk that was required to change its velocity from u to v. thus, we have the velo_city- posi_tion relati_on as:
on as:V
on as:V 2
on as:V 2 =u
on as:V 2 =u 2
on as:V 2 =u 2 +2as
on as:V 2 =u 2 +2as or
on as:V 2 =u 2 +2as ors=
on as:V 2 =u 2 +2as ors= 2a
on as:V 2 =u 2 +2as ors= 2av
on as:V 2 =u 2 +2as ors= 2av 2
on as:V 2 =u 2 +2as ors= 2av 2 −u
on as:V 2 =u 2 +2as ors= 2av 2 −u 2 ....(i)
on as:V 2 =u 2 +2as ors= 2av 2 −u 2 ....(i)Where, a is the acceleration of the dur_ing the chan_ge in its velocity. Now, the work do_ne on the bo_dy by the exte_rnal forc_e is given by:
e is given by: W=F×s
ally at rest 9 i. e, u = 0 ), then : W= 21 mv 2 Since kinetic ener_gy is equal to the wo_rk don_e on the bo_dy to chan_ge its velocity from 0 to v , we obtain: kinetic ener_gy , E
gy , E k = 2
gy , E k = 21
gy , E k = 21
gy , E k = 21 mv
gy , E k = 21 mv 2
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