Anonymous
Anonymous asked in Science & MathematicsPhysics · 3 weeks ago

I need help on this physics problem! Please and thanks!?

A person who can jump with a velocity of 3.0 m/s reaches a maximum height on a large asteroid of 2.4 m. The gravitational field strength on the surface of the asteroid is __ N/kg. If the radius of the asteroid is 37000 m then the escape velocity on planet X is __  m/s.

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  • 3 weeks ago

    1) Let the gravity at the asteroid is g', by v^2 = u^2 - 2gh

    =>0 = (3)^2 - 2 x g' x 2.4

    =>g' = 1.88 m/s^2 OR N/kg

    2) Let the mass of the asteroid is M kg,  By g = GM/r^2

    =>GM = 1.88r^2 --------------------(i)

    By Ve = √[(2GM)/r]

    =>Ve = √[(2 x 1.88 x r^2)/r]

    =>Ve =  √[2 x 1.88 x 37000]

    =>Ve = 372.49 m/s

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