A ball of mass m is dropped from a height H above a level floor asshown in figure. After striking the ground it bounces off back andreaches up to height h.Based on above information, answer the following questions: H hm13. Change in momentum of the ball on striking is
Question
A ball of mass m is dropped from a height H above a level floor asshown in figure. After striking the ground it bounces off back andreaches up to height h.Based on above information, answer the following questions: H hm13. Change in momentum of the ball on striking is
Solution
To find the change in momentum of the ball on striking the ground, we can use the principle of conservation of momentum.
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The initial momentum of the ball before striking the ground can be calculated using the formula: Initial momentum = mass (m) × initial velocity
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Since the ball is dropped from a height H, its initial velocity can be calculated using the formula: Initial velocity = √(2 × acceleration due to gravity × height)
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The final momentum of the ball after bouncing back can be calculated using the formula: Final momentum = mass (m) × final velocity
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Since the ball reaches a height h after bouncing back, its final velocity can be calculated using the formula: Final velocity = √(2 × acceleration due to gravity × height)
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The change in momentum can be calculated by subtracting the initial momentum from the final momentum: Change in momentum = Final momentum - Initial momentum
By following these steps, you can find the change in momentum of the ball on striking the ground.
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