An astronaut lands on an earth-like planets and drops a small lead with a mass of 76.5 g from the top of the spaceship. the point of release is 18 m above the surface of the planet and the ball takes 2.5 s to reach the ground. the astronaut's mass on earth is 68.5 kg. what is her weight on the planet?

Explanation:

First we have to find out the gravity on that planet. We use Newton second equation of motion. It is given as,

Distance s = 18 m

Time t = 2.5 s

Velocity u = 0

By putting these values,

18 = 1/2.g.(2.5)²

g = 5.76

So the gravity on that planet is 5.76. Lets find out the weight of the astronaut.

Mass of the astronaut on earth m = 68.5 kg

Weight of astronaut on earth W = mg = (68.5)(9.8) = 671.3 N

Weight of astronaut on earth like planet = (68.5)(5.76) = 394.56 N

                                                           x = 394.56 N

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