Question

The mass of a planet is `1/10`^th that of the earth and its diameter is half that of the earth. The acceleration due to gravity on that planet is ______.

Options

• 4.9 ms⁻²

• 3.92 ms⁻²

• 19.6 ms⁻²

• 9.8 ms⁻²

Answer 1

The mass of a planet is `1/10`^th that of the earth and its diameter is half that of the earth. The acceleration due to gravity on that planet is 3.92 ms⁻².

Explanation:

Acceleration due to gravity (g) = `(GM)/R^2`

Now, g' = `(M//10)/(R^2/4) xx G`

= `(GM)/10 xx 4/R^2`

= (4 GM)/(10 R^2)`

= `4/10 xx g`

= `4/10 xx 9.8`

= 3.92 ms⁻²