A batsman deflects a ball by an angle of `45^(@)` without changing its initial speed which is equal to `54 km/h` . What is the impulse imparted to the ball ? ( Mass of the ball is 0.15 kg)

Explanation

Here, ` m = 0.15 kg upsilon_(i) = 54 km//h =54 xx (5)/(18) ms^(-1) = 15 ms^(-1)`
`upsilon_(f) = 54 km//h = 15ms^(-1)`
Impulse imparted to the ball along X- axis
` J_(x)` = change in momentum of ball along X-axis
` = m upsilon_(fx) - (- m upsilon_(iy)) = 0.15 (15 sin 45^(@) - 0) = 1.59 kg ms^(-1)`
Net impulse imparted to the ball
` J = sqrt(J_(x)^(2) + J_(y)^(2)) = sqrt(3.84^(2) + 1.59^(2)) = sqrt(17 .27) = 4.16 kg ms^(-1) (or N_(-s))`
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