Radius of earth is about 6400 km and that of mars is 3200 km . mass of earth is about 10 times mass

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7.Gravitation

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The radius of earth is about $6400\; km$ and that of mars is $3200\; km$. The mass of the earth is about $10$ times mass of mars. An object weighs $200 \;N$ on the surface of earth. Its weight on the surface of mars will be .......... $N$

$80$

$20$

$6$

$40$

(AIPMT-1994)

Solution

Radius of earth $\left(R_{e}\right)=6400 km ;$

Radius of $\operatorname{mars}\left(R_{m}\right)=3200 km ;$

Mass of earth $\left(M_{e}\right)=10 Mm$

and weight of the object on earth $\left(W_{e}\right)=200 N$. $\frac{W_{n_{1}}}{W_{e}}=\frac{m g_{m}}{m g_{e}}=\frac{M_{m}}{M_{e}} \times\left(\frac{R_{e}}{R_{m}}\right)^{2}=\frac{1}{10} \times(2)^{2}=\frac{2}{5}$

$W_{m}=W_{e} \times \frac{2}{5}=200 \times 0.4=80 N$.

Standard 11

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medium

The radius of earth is about $6400\; km$ and that of mars is $3200\; km$. The mass of the earth is about $10$ times mass of mars. An object weighs $200 \;N$ on the surface of earth. Its weight on the surface of mars will be .......... $N$

Solution

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