Calculate the value of gravitational acceleration at moon surface given mass of moon Mn= 74×10’23 kg Radius of moon Rm= 1700km
Answers
Answer:
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Explanation:
answer is shown above.
g=1.63 m/s²
Given that,
Mass of the moon, M=7.4\times 10^{22}\ kgM=7.4×10²² kg
Radius of the moon, R=1740\ km=1740\times 10^3\ mR=1740 km=1740×10³ m
Gravitational constant, G=6.7\times 10^{-11}\ Nm^2/kg^2G=6.7×10
−11
Nm
2
/kg
2
The acceleration due to gravity on the surface of Moon is given by :
g=\dfrac{GM}{R^2}g=
R
2
GM
g=\dfrac{6.7\times 10^{-11}\times 7.4\times 10^{22}}{(1740\times 10^3)^2}g=
(1740×10
3
)
2
6.7×10
−11
×7.4×10
22
g=1.63\ m/s^2g=1.63 m/s
2
So, the acceleration due to gravity on the surface of moon is 1.63\ m/s^21.63 m/s
2
. Hence, this is the required solution.
Answer:
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