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Standard X

Physics

Energy

What is the m...

Question

What is the mechanical energy of the system?

20 J

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49 J

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100 J

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-8.7 J

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Solution

The correct option is D -8.7 J
Given $U (x) = - 4 x C^{- x / 4}; m = 1 k g; x = 5 m; k = 2 J E_{m e c} = u + k U (5) = - u (5) e^{- (5) / 14} = - 5.7 J E_{m e c} = 2 - 5.7 = - 8.7 J$

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What is the mechanical energy of the system?

The correct option is D -8.7 JGiven U(x)=−4xC−x/4;m=1kg;x=5m;k=2JEmec=u+kU(5)=−u(5)e−(5)/14=−5.7JEmec=2−5.7=−8.7J

The correct option is D -8.7 J
Given $U (x) = - 4 x C^{- x / 4}; m = 1 k g; x = 5 m; k = 2 J E_{m e c} = u + k U (5) = - u (5) e^{- (5) / 14} = - 5.7 J E_{m e c} = 2 - 5.7 = - 8.7 J$