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11. A golfer hits a 42 g ball, which comes down on a tree root and bounces straight up with an initial speed of 15.6 m/s. Determine the height the ball will rise after the bounce. Show all your work. |
Answer» <html><body><p><strong>Explanation:</strong></p><p></p><h3><u>Given</u><u>:</u><u>-</u></h3><p></p><ul><li>Mass of <a href="https://interviewquestions.tuteehub.com/tag/ball-891849" style="font-weight:bold;" target="_blank" title="Click to know more about BALL">BALL</a> ,m = 42g</li></ul><p></p><ul><li>Initial velocity ,u = 15.6m/s</li></ul><p></p><ul><li>Final velocity ,<a href="https://interviewquestions.tuteehub.com/tag/v-722631" style="font-weight:bold;" target="_blank" title="Click to know more about V">V</a> = 0m/s</li></ul><p></p><ul><li>Acceleration due to gravity ,g = 9.8m/s</li></ul><p></p><p></p><h3><u>T</u><u>o</u><u> </u><u>Find</u><u>:</u><u>-</u></h3><p></p><ul><li>Height ,h</li></ul><p></p><p></p><h3><u>S</u><u>o</u><u>l</u><u>u</u><u>t</u><u>i</u><u>o</u><u>n</u><u>:</u><u>-</u></h3><p></p><p>We have to calculate the height <a href="https://interviewquestions.tuteehub.com/tag/attained-7662680" style="font-weight:bold;" target="_blank" title="Click to know more about ATTAINED">ATTAINED</a> by the ball after bounce. Using 3rd Equation of Motion</p><p></p><p><strong>• v² = u² +2</strong><strong>g</strong><strong>h</strong></p><p></p><p></p><p></p><p>v is the final velocity</p><p>g is the acceleration</p><p></p><p>u is the initial velocity</p><p>h is the height attained</p><p></p><p>Substitute the value we get</p><p></p><p>→ 0² = 15.6² + 2×(-9.8) × h</p><p></p><p>→ 0 = 243.36 + (-19.6) ×h</p><p></p><p>→ -243.36 = -19.6×h</p><p></p><p>→ h = -243.36/-19.6</p><p></p><p>→ h = 243.36/19.6</p><p></p><p>→ h = <a href="https://interviewquestions.tuteehub.com/tag/12-269062" style="font-weight:bold;" target="_blank" title="Click to know more about 12">12</a>. 41 m</p><p></p><p>Therefore,<strong><u> </u></strong><strong><u>the</u></strong><strong><u> </u></strong><strong><u>hei</u></strong><strong><u>ght</u></strong><strong><u> </u></strong><strong><u>atta</u></strong><strong><u>ined</u></strong><strong><u> </u></strong><strong><u>by</u></strong><strong><u> </u></strong><strong><u>the</u></strong><strong><u> </u></strong><strong><u>ball</u></strong><strong><u> </u></strong><strong><u>is</u></strong><strong><u> </u></strong><strong><u>1</u></strong><strong><u>2</u></strong><strong><u>.</u></strong><strong><u>4</u></strong><strong><u>1</u></strong><strong><u> </u></strong><strong><u>Metres</u></strong><strong><u>.</u></strong></p><p></p><p></p><p></p><p></p><p></p><p></p><p></p></body></html> | |