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

Answer:

$g=0.66\ m/s^2$

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 :

$mgh=\dfrac{1}{2}mu^2$

$h=\dfrac{u^2}{2g}$

$g=\dfrac{u^2}{2h}$

$g=\dfrac{(6)^2}{2\times 27}$

$g=0.66\ m/s^2$

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

Answer 2

The magnitude is 4.5