Question
Download Solution PDFविरामावस्था से ऊँचाई h से गिराये जाने पर एक गेंद फ़र्श पर बार-बार ऊर्ध्व तल में टप्पे खाती है (उछलती- गिरती है)। यदि गेंद तथा फ़र्श के बीच प्रत्यवस्थान गुणांक 0.5 हो तो रुकने से पहले गेंद द्वारा तय की गई दूरी है
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFConcept:
Projectile motion is the motion of an object thrown or projected into the air, subject to only the acceleration of gravity. The object is called a projectile, and its path is called its trajectory.
Calculation:
v = \(\sqrt{2gh} \) and v = e\(\sqrt{2gh} \)
0 = (ev)2 - 2gh1
h1 = \({e^2 × 2gh\over 2g}\) = e2h
Similarly, h2 = e4h
H = h + 2h1 + 2h2 +...∞
= h + 2(e2h + e4h + ... ∞)
= h + 2e2h(\({1\over 1-e^2}\))
= h × (\({1+ e^2 \over 1-e^2}\))
The coefficient of restitution between the ball and the floor is 0.5.
e = 0.5
H = 5h/3
The correct answer is option (2).
Last updated on Jun 30, 2025
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