You have been taken prisoner on an alien spaceship! While you are inside the shi

Question

You have been taken prisoner on an alien spaceship! While you are inside the ship and at rest on planet Earth, you roll a ball off a horizontal table and it lands a distance, D, from the edge of the table. The aliens take off, and fly you to their home planet. In order to learn something about them, you roll the same ball off the same table with the same initial speed as before, and find that it lands a distance 2.22 D from the edge of the table.

What is the acceleration due to gravity on the alien planet?

Explanation / Answer

Here ,

let the acceleration due to gravity is g

ge = 9.8 m/s^2

at the planet earth

for the height h

distance from the base of table , D = sqrt(2 * h/ge) * v

for the distance at the alien planet

2.22 * D = sqrt(2 * h/g) * v

2.22 * sqrt(2 * h/ge) * v = sqrt(2 * h/g) * v

2.22 * sqrt(1/9.8) = sqrt(1/g)

0.503 = 1/g

g = 1.99 m/s^2

the acceleration due to gravity on the alien planet is 1.99 m/s^2

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