Question

if a body weighs 100 Newton on the earth how much will it weigh on the surface of planet whose mass is 0.1 times of the earth and radius half of the earth​

Answer 1

please mark me if you are satisfied with my answer....

Answer 2

The weight on the planet is 40 N.

Explanation:

Given that,

Weight of body on earth= 100 N

Mass of  planet $M_{p}= 0.1\times M_{e}$

Radius of planet $R_{p}=\dfrac{R_{e}}{2}$

We need to calculate the weight on the planet

Using formula of gravity

At earth surface,

$g=\dfrac{GM}{R^2}$....(I)

At planet surface,

$g_{p}=\dfrac{GM_{p}}{R_{p}^2}$....(II)

Divided equation (I) by equation (II)

$\dfrac{g_{p}}{g_{e}}=\dfrac{\dfrac{GM_{p}}{R_{p}^2}}{\dfrac{GM_{e}}{R_{e}^2}}$

Put the value into the formula

$\dfrac{g_{p}}{g_{e}}=\dfrac{\dfrac{G\times0.1\times M_{e}}{\dfrac{R_{e}^2}{4}}}{\dfrac{GM_{e}}{R_{e}}}$

$\dfrac{g_{p}}{g}=0.4$

$W_{p}=0.4\times100$

$W_{p}=40\ N$

Hence, The weight on the planet is 40 N.

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Topic : gravity

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