When a soccer ball hits a wall weakly, it becomes deformed, as shown in Figure 6.2. In this case, the deformation x of the ball is much less than its radius, and it can be assumed with a good approximation that the air pressure p in the ball does not change during the impact. Neglecting the elasticity of the tire, estimate the time of impact of the ball with the wall. Carry out a numerical calculation of this time for the case when the mass of the ball is m = 0.5 kg, the pressure in it is p = 2•105 Pa and the radius of the ball is R = 12.5 cm.
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