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Standard XII

Physics

Gravitational Potential Energy

A person brin...

Question

A person brings a mass of 1 kg from intensity to a point A Initially the mass was at rest but it moves with a speed of 2 m/s as it reaches A The work done by the person on the mass is -3J The potential of A is

- 3 J/kg

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-2 J/kg

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-5 J/kg

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-7 J/kg

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Solution

The correct option is B -5 J/kg
$∵ W = Δ K E$
$∴ W_{p e r s o n} + W_{f i e l d} = 1 / 2 m v^{2} \Rightarrow W_{p e r s o n} + U_{1} - U_{2} = 1 / 2 m v^{2}$
$\Rightarrow - 3 + (0 - V_{A}) \times 1 = 1 / 2 \times 1 \times 2^{2} \Rightarrow V_{A} = - 5 J / k g$

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A person brings a mass of 1 kg from intensity to a point A Initially the mass was at rest but it moves with a speed of 2 m/s as it reaches A The work done by the person on the mass is -3J The potential of A is

The correct option is B -5 J/kg∵W=ΔKE∴Wperson+Wfield=1/2mv2⇒Wperson+U1−U2=1/2mv2⇒−3+(0−VA)×1=1/2×1×22⇒VA=−5J/kg

The correct option is B -5 J/kg
$∵ W = Δ K E$
$∴ W_{p e r s o n} + W_{f i e l d} = 1 / 2 m v^{2} \Rightarrow W_{p e r s o n} + U_{1} - U_{2} = 1 / 2 m v^{2}$
$\Rightarrow - 3 + (0 - V_{A}) \times 1 = 1 / 2 \times 1 \times 2^{2} \Rightarrow V_{A} = - 5 J / k g$