Question

An astronaut on a strange new planet having no atmosphere finds that she can jump up to a maximum height of 27 m when her initial upward speed is 6.0 m/s. what is the magnitude of the acceleration due to gravity on the planet?

Answer 1

`g=0.66\ m/s^2`

Step-by-step explanation:

Given that,

Initial upward speed, u = 6 m/s

Maximum height of the astronaut, h = 27 m

Let g is the acceleration due to gravity on the planet. It can be calculated using the conservation of energy as :

`mgh=(1)/(2)mu^2`

`h=(u^2)/(2g)`

`g=(u^2)/(2h)`

`g=((6)^2)/(2* 27)`

`g=0.66\ m/s^2`

So, the magnitude of the acceleration due to gravity on the planet is
`0.66\ m/s^2`. Hence, this is the required solution.