Let's play Football


You kicked your football ( solid sphere ) as shown in the figure. You apply an impulse (J) as shown(sorry! Angle is 53 degrees ) .

What will be the Final displacement of the ball (i.e. when it's vertical velocity tends to become zero) from the initial position( in metres ).

Details and Assumptions :

  • The surface is smooth below the ball ,where it is placed. The rough surface starts at a distance of 10 metres from initial position of ball and continues to infinity .

  • Given, mass of ball \( M = 0.50 Kg\) , Radius of ball is \( R = 0.20 m\) , \( J = 5 N-s \)(at an angle of 53 degree as shown), take \( g = 10m/s^2\)

  • Coefficient of restitution ( for vertical collision ) = 0.5 , and coefficient of friction of rough ground is 1.0


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