Question

mass of the earth is 80 times that of Moon and radius of the earth is four times that of the acceleration due to gravity on the surface of earth is 9.8 M per second calculate it's value on the surface of the Moon. plz friends answer it fast .

Answer 1

Please check the attachment for the answer

Answer 2

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Let us consider the follows,.
Mass of earth = M
Radius of the earth = R
Mass of the moon = m
Radius of moon = r
And 'G' is the universal gravitational constant.

Thus, the gravitational acceleration on the moon surface (g)
= Gm/r^2. ............. (1)

Again we have,
Radius of the earth is four times the radius of the moon.
Thus, R = 4r.
Mass of the earth is 80 times the mass of the moon.
Thus, M = 80m.

Now, the gravitational acceleration on the earth(g) is,
= GM/R^2
= G(80m) / (4r)^2
= G80m / 16r^2
= 80/16 (Gm/r^2)
= 5 (Gm/r^2)
= 5 * gravitational acceleration on the moon. [ from (1)]

So, the acceleration due to gravity on the earth is 5 times than on the moon.

Thus, the gravitational acceleration on the surface of moon
= 9.8/5 m/s^2
= 1.96 m/s^2.

Hence, the acceleration due to gravity on the surface of the moon is 1.96 m/s^2.

Hope this helps,.

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