Question
Download Solution PDFयदि किसी गेंद के द्रव्यमान और गति दोनों को दोगुना कर दिया जाए, तब गतिज ऊर्जा ______ गुना हो जाती है।
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFसंकल्पना:
गतिज ऊर्जा:
- किसी वस्तु की गति के कारण उत्पन्न ऊर्जा को गतिज ऊर्जा कहते हैं।
- सूत्र, गतिज ऊर्जा, \(K.E=\frac{1}{2}mv^2\) जहाँ, m = द्रव्यमान, v = वेग
- गतिज ऊर्जा की SI इकाई जूल (J) होती है।
गणना:
दिया गया है:
गतिज ऊर्जा है, \(E=\frac{1}{2}mv^2\). . . . . . . . .(1)
यदि m' = 2m, v' = 2v
नई गतिज ऊर्जा, \(K.E'=\frac{1}{2}m'v'^2\)
\(K.E'=\frac{1}{2}(2m)(2v)^2\)
\(K.E'=8\frac{1}{2}mv^2\)
समीकरण (1) से, K.E' = 8 K.E
अत: गतिज ऊर्जा 8 गुनी हो जाती है।
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