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Question: The mass and diameter of a planet have twice the value of the corresponding parameters of earth. Acc...

The mass and diameter of a planet have twice the value of the corresponding parameters of earth. Acceleration due to gravity on the surface of the planet is

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Answer
Explanation

Solution

gg=MM(RR)2=(2MM)(R2R)2=12\frac { g ^ { \prime } } { g } = \frac { M ^ { \prime } } { M } \left( \frac { R } { R ^ { \prime } } \right) ^ { 2 } = \left( \frac { 2 M } { M } \right) \left( \frac { R } { 2 R } \right) ^ { 2 } = \frac { 1 } { 2 }

g=g2=9.82=4.9 m/s2g ^ { \prime } = \frac { g } { 2 } = \frac { 9.8 } { 2 } = 4.9 \mathrm {~m} / \mathrm { s } ^ { 2 }