Question
A body is projected with kinetic energy 100J at an angle 45° with horizontal. What fraction of kinetic energy will be the potential energy at the highest point?
Solution
If a body is projected with kinetic energy K at angle θ, then kinetic energy at highest point is K cos2θ.
Therefore, potential energy of the body at highest point is,
P.E. =
Fractional potential energy at highest point is,
Here, we have
K = 100 J and
Fractional potential energy at highest point is,
At the highest point, K.E will be 0.5 times the P.E at the highest point.
Therefore, potential energy of the body at highest point is,
P.E. =
Fractional potential energy at highest point is,
Here, we have
K = 100 J and
Fractional potential energy at highest point is,
At the highest point, K.E will be 0.5 times the P.E at the highest point.
