4.0 किलोची वस्तू विरामावस्थेत आहे. स्थिर बलाच्या क्रियेखाली, तिचा वेग 5 मीटर/सेकंद होतो. बलाद्वारे झालेले कार्य _______ असेल.

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RRB ALP Previous Paper 2 (Held On: 9 Aug 2018 Shift 2)
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  1. 40J
  2. 50J
  3. 30J
  4. 60J

Answer (Detailed Solution Below)

Option 2 : 50J
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संकल्पः

  • कार्य-ऊर्जा प्रमेय: असे म्हटले आहे की वस्तूवर कार्य करणार्‍या सर्व शक्तींनी केलेल्या कार्याची बेरीज वस्तूच्या गतीशील ऊर्जा बदलांच्या समान आहे,

सर्व बलांनी केलेले कार्य = Kf - Ki

\(W = \frac{1}{2}m{v^2} - \frac{1}{2}m{u^2} = {\bf{Δ }}K\)

जेथे v = अंतिम वेग, u = प्रारंभिक वेग आणि m = वस्तूचे वस्तूमान

गणना :

हे दिले आहे की,
वस्तुमान (m) = 4.0 किलो

अंतिम वेग (v) = 5 मीटर/सेकंद आणि प्रारंभिक वेग (u) = 0 मीटर/सेकंद
कार्य-ऊर्जा प्रमेयानुसार,

पूर्ण झालेले कार्य = K.E मध्ये बदल
⇒ W = Δ K.E

प्रारंभिक वेग शून्य असल्याने आरंभिक K.E देखील शून्य होईल .

⇒ काम पूर्ण (W) = अंतिम K.E = 1/2 mv2

⇒ W = 1/2 x 4 x 52
⇒ W = 2 x 25
⇒ W = 50 J

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