When the ball reaches down, it has both kinetic energy due to movement and potential energy due to height. When a person tries to catch a ball, the full energy must be dissipated by hands folded together. So, when does the ball hold and when does it fall out?
Let's get to some details when the ball hits the batsman. The ball moves up until the speed is completely zero. There is also a case where there may be a sufficient horizontal component of speed that will cause the ball to fly out of the stadium. The equations of mechanisms described below will consider those cases where the ball falls on the stadium. Thus, after the speed is equal to zero, the ball falls again due to gravity.
Let's now discuss the mechanisms of the hand and the effect of muscle contraction on the arm. The hand has a movement that neutralizes the movement of the ball, retracting in the opposite direction of the ball. Also, the inner arms holding the ball have restitution and friction. Studies show that tensile stress in the upper limb can increase to 600 newtons.
Apply the law of conservation of energy to the ball, which has reached a height of h and goes down. After that we will substitute some numbers.
0.5 * m * v * v = m * g * h (Energy Conservation Law)
v * v = 2 * g * h
v = sqrt (2 * g * h)
Thus, the total energy held by the ball as it moves down is 0.5 * m * v * v or mgh.
Calculate the energy of the ball when moving down at different heights.
0.15 * 9.81 * 1 = 0.14 N with a maximum height of 1 meter, with a maximum height of 100 m, the energy held by the ball 0.15 * 9.81 * 100 = 147 Newtons.
In order for the energy on the ball to be greater than the tensile stress arising in the arm / hands, the maximum height reached by the ball must be 0.15 * 9.81 * h = 600 or h = 400 meters.
To reach a ball with a height of 400 meters, the speed at which it should be removed is approximately sqrt (2 * g * h) = 85 m / s or 340 km / h.
Thus, it seems that the arms and muscles are well equipped to keep catches from ordinary cricket shots. The second aspect of catching - the reason why the ball sticks when wearing gloves - is that the surface area has a reaction force in the form of friction and restitution. Our hands are much better than gloves, and therefore provide less frictional force and external force due to the break.
