A riding ball of mass `m` strikes a rigid wall at `60^(@)` and gets reflected without loss of speed as shown in the figure below. The value of impulse imparted by the wall on the ball will be.

Explanation

According to the question ,
(i) `p_(i)=mv sin 30^(@)hati-mv cos 30^(@)hatj`
`p_(f)=-mv sin 30^(@)hati-mv cos 30 ^(@) hatj`
`therefore Deltap=p_(f)-p_(i)=-2mv sin 30^(@)hati=-mvhati`
`abs(Deltap)=mv`
(ii) Negative sign of the impulse shows that it is along negativ x-direction. Since impulse and force are in the same direction, the force on the ball is along the negative direction of x-axis. Hence the force on the wall will be along positive x-axis.