Work Energy Power

JEE Main level, numerical answer, medium

98 of 183

Question 98 of 183

A uniform chain of length 3m3m and mass 3kg3kg overhangs a smooth table with 2m2m laying on the table. If KK is the kinetic energy of the chain in JJ as it completely slips off the table, then the value of KK is
(Takeg=10ms−2)\left(\text{Take}g=10m{s}^{-2}\right)

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Answer: 40


Apply conservation of energy
Ui+Ki=Uf+Kf{U}_{i}+{K}_{i}={U}_{f}+{K}_{f}
−1×10×(12)+0=−3×10×1.5+KE-1\times 10\times \left(\dfrac{1}{2}\right)+0=-3\times 10\times 1.5+KE
K.E.=45−5\text{K.E.}=45-5
K.E.=40J\text{K.E.}=40J

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