12 किलोग्रॅम वजनाची एक वस्तू जमिनीपासून एका विशिष्ट उंचीवर आहे. जर वस्तूची स्थितिज ऊर्जा 600 ज्यूल असेल, तर ती वस्तू जमिनीपासून किती उंचीवर आहे ते निर्धारित करा. g = 10 मीटर सेकंद-2 हे दिलेले आहे.

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RRC Group D Previous Paper 12 (Held On: 4 Oct 2018 Shift 1)
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  1. 5 मीटर
  2. 5 मीटर सेकंद-2
  3. 5 मीटर सेकंद2
  4. -5 मीटर

Answer (Detailed Solution Below)

Option 1 : 5 मीटर
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Detailed Solution

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संकल्पना:

स्थितिज ऊर्जा (PE): वस्तूच्या विशिष्ट स्थितीमुळे किंवा स्थानामुळे त्यात जी ऊर्जा सामावलेली असते तिला स्थितिज ऊर्जा असे म्हणतात.

\(PE = mgh\)

जेथे, m = वस्तूचे वस्तुमान, g = गुरुत्वाकर्षणामुळे होणारे त्वरण आणि h = वस्तूची उंची

गणना:

दिलेल्याप्रमाणे:

वस्तुमान (m) = 12 किलोग्रॅम

स्थितिज ऊर्जा (PE) = 600 J

गुरुत्वाकर्षणामुळे होणारे त्वरण (g) = 10 मीटर सेकंद-2

उंची (h) = ?

आपणास माहित आहे की, स्थितिज ऊर्जा = mgh

h = स्थितिज ऊर्जा /मिलीग्रॅम = 600/[12 x 10] = 5 मीटर

म्हणून, उंची (h) = 5 मीटर. म्हणून, पर्याय 1 योग्य आहे.

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