40 किलो वस्तूमानाची वस्तू विश्रांतीपासून 5 मीटर/सेकंद2 च्या दराने गतिशील होते. 20 सेकंदात वस्तू किती अंतर प्रवास करेल?

  1. 800 मीटर
  2. 1000 मीटर
  3. 850 मीटर
  4. 900 मीटर

Answer (Detailed Solution Below)

Option 2 : 1000 मीटर
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Detailed Solution

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संकल्पना:

गतीचे समीकरणः

v = u + at

v 2 = u 2 + 2as

\(s = ut + \frac{1}{2}a{t^2}\)

S = वस्तूने पार केलेले अंतर (m), u = प्रारंभिक वेग (मीटर/सेकंद)

a = प्रवेग (मीटर/सेकंद2 ), t = वेळ (सेकंद)

गणना:

दिलेल्याप्रमाणे:

वस्तूचे वस्तुमान (मी) = 40 किलो, प्रवेग (a) = 5 मीटर/सेकंद2, वेळ (t) = 20 सेकंद.

गतिशास्त्र समीकरणानुसार, गतिशील असे मानणे की प्रवेग स्थिर आहे,

\(S = ut + \frac{1}{2}a{t^2}\)

जसे की वस्तू विश्रांतीपासून सुरू होते = 0 म्हणजे प्रारंभिक वेग.

\(S = 0 + \frac{1}{2} \times 5 \times {20^2} = 1000\:m\)

S = 1000 मीटर

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