Question
Download Solution PDF प्रारंभ में विराम पर, किसी गेंद को एक भवन के ऊपर से मुक्त रूप से गिराया जाता है और यह 40 m/s का अधिकतम वेग प्राप्त करती है। भवन की ऊँचाई ज्ञात कीजिए। (गुरुत्वीय त्वरण, g =10 m/s2 का उपयोग कीजिए।)
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFसंकल्पना:
गति का समीकरण:
- गतिकी की गति के समीकरण किसी वस्तु की गति की मूल अवधारणा का वर्णन करते हैं जैसे कि विभिन्न समय पर किसी वस्तु की स्थिति, वेग या त्वरण।
- गति के ये तीन समीकरण किसी वस्तु की गति को 1D, 2D और 3D में नियंत्रित करते हैं।
- तीन समीकरण:
- v = u + at
- s = ut + 0.5 at2
- 2as = v2 - u2
- यहाँ, u = प्रारंभिक वेग, v = अंतिम वेग, s = विस्थापन, t = समय
- गुरुत्व के प्रभाव में, त्वरण a को गुरुत्वीय त्वरण g से बदल दिया जाता है।
गणना:
दिया गया है,
प्रारंभिक वेग, u = 0 m/s, अंतिम वेग, v = 40 m/s, गुरुत्वीय त्वरण, g = 10 m/s2
गुरुत्व के प्रभाव में गति के तीसरे समीकरण से,
2gh = v2 - u2
इसलिए, अधिकतम ऊँचाई 80 m है।
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