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?

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 :

So, the magnitude of the acceleration due to gravity on the planet is . Hence, this is the required solution.  

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explanation:

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