Question

An athelete who has a mass of 100kg can throw a 500gm ball with a speed of 10m/s.The distance through which his hand moves as he accelaratesbthe ball from rest to release is 1mtr. what constant force must he exert on the ball to throw at this speed
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Answer 1

The constant force must the athlete exert on the ball to throw at this speed is 25 N

Given : Mass of the athlete is 100 kg

Mass of the ball is 500 g

Sped of throwing the ball is 10 m/s

The distance through which his hand moves as he accelerates the ball from rest to release is 1 m

To Find :  The constant force must the athlete exert on the ball to throw at this speed

Solution : The constant force must the athlete exert on the ball to throw at this speed is 25 N

Here Mass of the athlete (M)  = 100 kg

Mass of the ball (m) = 500 g

Final velocity (v) = 10 m/s

Initial velocity (u) = 0 m/s

Using third equation of motion

$v^{2 } - u^{2} = 2as$

v is final velocity

u is initial velocity a is acceleration

s is displacement

here s = 1 m

$100 - 0 = 2a(1)$

a = 50 $m/s^{2}$

Now F = Mass × Acceleration

F = m × a

m = 500 g

a = 50 $m/s^{2}$

F = 0.5 × 50

= 25 N

The constant force must the athlete exert on the ball to throw at this speed is 25 N

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