Question

The acceleration due to gravity on a planet is 1.96 m/s². If it is safe to jump from a height of 3 m on tbe earth, the corresponding height on the planet will be ____________.

Options

• 3 m

• 6 m

• 9 m

• 15 m

Answer 1

The acceleration due to gravity on a planet is 1.96 m/s². If it is safe to jump from a height of 3 m on tbe earth, the corresponding height on the planet will be 15 m.

Explanation:

A person is safe, if his velocity while reaching the surface of moon from a height h' is equal to its velocity while fall.ing from height h on earth.

`"So" sqrt(2  "g'" "h'") = sqrt(2"gh")`

`"or"  "h'" = "gh"/"g'"`

`= 9.8 xx 3/1.96`

` = 15  "m"`