A ball of $$0.5$$ kg collided with wall at $$30$$° with the normal at the point of contact with the wall and bounced back elastically. The speed of ball was $$12ms-1$$. The contact remained for Is. What is the force applied by wall on ball? [JIPMER $$2018$$]

Question

A ball of $$0.5$$ kg collided with wall at $$30$$° with the normal at the point of contact with the wall and bounced back elastically. The speed of ball was $$12ms-1$$. The contact remained for Is. What is the force applied by wall on ball? [JIPMER $$2018$$]

Infinity Learn · Accepted Answer

Given, $$m=0.5$$ kg, v $$=$$ $$12$$ $$ms-1$$, ∆t $$=$$ $$1s$$ and θ$$=30$$°Force applied by wall on ball,             $$F=$$∆p∆t or $$F=pfH-piH$$Δt∵  In this elastic collision, final and initial velocities will be same but direction changes          $$(pf)H$$ $$=$$ mv $$cos$$θand    $$(pi)H$$ $$=$$ $$-mv$$ $$cos$$θ∴          $$F=mvcos$$θ$$+mvcos$$θΔ$$t=2mvcos$$θΔt                $$F=2$$×$$0.5$$×$$12$$×$$cos30$$°$$1=63$$ N

A ball of 0.5 kg collided with wall at 30° with the normal at the point of contact with the wall and bounced back elastically. The speed of ball was $12 {ms}^{- 1}$ . The contact remained for Is. What is the force applied by wall on ball? [JIPMER 2018]

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A ball of 0.5 kg collided with wall at 30° with the normal at the point of contact with the wall and bounced back elastically. The speed of ball was 12ms-1. The contact remained for Is. What is the force applied by wall on ball? [JIPMER 2018]

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A ball of 0.5 kg collided with wall at 30° with the normal at the point of contact with the wall and bounced back elastically. The speed of ball was $12 {ms}^{- 1}$ . The contact remained for Is. What is the force applied by wall on ball? [JIPMER 2018]