A ball of mass m, travelling in a direction at right angles to a vertical wall, strikes the wall with a speed v1. it rebounds at right angles to the wall with a speed v2. the ball is in contact with the wall for a time δt. the magnitude of the force that the ball exerts on the wall is
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Simran BhatiaGrade: 11A ball of mass m and speed v strikes a wall perpendicularly and rebounds with undiminished speed. (a) If the time of collision is ∆t, what is the average force exerted by the ball on the wall? (b) Evaluate this average force numerically for a rubber ball with mass 140 g moving at 7.8 m/s; the duration of the collision is 3.9 ms.2 years agoAnswers : (1)Aditi ChauhanaskIITians Faculty396 PointsWhen the ball of mass m and speed v strikes a wall, the initial momentum (pi) of the ball,
pi = mv …… (3)
and
When the ball rebounds, the direction of velocity will be just opposite to the direction of its initial direction. So the velocity in this case will be –v.
Using equation (2), the final momentum pf of the ball will be,
pf = -mv …… (4)
pi = mv …… (3)
and
When the ball rebounds, the direction of velocity will be just opposite to the direction of its initial direction. So the velocity in this case will be –v.
Using equation (2), the final momentum pf of the ball will be,
pf = -mv …… (4)
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