A person throws a ball with the speed of 150kmph what should be the force applied to the ball so that the ball covers a distance of 60 yards in the opposite direction
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Horizontal Distance, R = 63m
Velocity required, Vf = (9.8[g] x 63[R])^1/2 = 24.85 m/s (considering projection angle to be 45 degree)
Ball avg. mass, M = 0.16kg
Avg contact time, t = 0.002s
initial Horizontal Velocity of ball, Vb = 143 x 5/18 = 39.72m/s
change in horizontal velocity, Vx = Vb + Vf.cos45 = 57.3m/s
change in vertical velocity, Vy = Vf.sin45 = 17.57m/s
Total change in velocity, V = (Vx^2 + Vy^2)^1/2 = 59.93m/s
Total Force applied = M.V/t = 0.16 x 59.93/0.002 = 4794.4 N
Therefore, Force equivalent to 4.8 x 10^3 Newtons is to be applied
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