If the gravitational intensity at a height of $8000 \, km$ from the center of the Earth is $6 \, N/kg$,what is the gravitational potential at that point?
- A$8 \times 10^6 \, J/kg$
- B$2.4 \times 10^3 \, J/kg$
- C$4.8 \times 10^7 \, J/kg$
- D$6.4 \times 10^{14} \, J/kg$
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$A$ mass of $50 \, \text{kg}$ is placed at the centre of a uniform spherical shell of mass $100 \, \text{kg}$ and radius $50 \, \text{m}$. If the gravitational potential at a point $25 \, \text{m}$ from the centre is $V \, \text{J/kg}$,find the value of $V$.
Two bodies of masses $m$ and $M$ are placed at a distance $d$ from each other. What is the gravitational potential $V$ at the point where the gravitational field intensity is zero?
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View Solution$A$ body of mass $m$ is taken from the Earth's surface to a height $h$ equal to twice the radius of the Earth $(R_e)$. The increase in potential energy will be: (where $g$ is the acceleration due to gravity on the surface of the Earth)
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View SolutionIf the gravitational field in space is given as $E = -\frac{K}{r^2}$. Taking the reference point at $r = 2\,cm$ with gravitational potential $V = 10\,J/kg$. Find the gravitational potential at $r = 3\,cm$ in $SI$ units. (Given: $K = 6\,J\cdot cm/kg$)
DifficultJEE MAIN 2023
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