The acceleration due to gravity at the surface of a planet depends on the planet

Question

The acceleration due to gravity at the surface of a planet depends on the planet's mass and size; therefore other planets will have accelerations due to gravity different from 9.8 m/s2. Imagine an astronaut stands on an alien planet, which has no atmosphere, and throws a rock with a speed of 6.05 m/s in the horizontal direction, releasing it at a height of 1.40 m above the surface of the planet. The rock hits the surface a horizontal distance of 9.40 m from the astronaut. Find the magnitude of the acceleration due to gravity on this alien planet.
1 m/s2

Explanation / Answer

here,

h = 1.4 m

d = 9.4 m

v = 6.05 m/s

time of flight = distance/speed

time of flight = d/v

time of flight = 9.4/6.05

time of flight , t = 1.55 s

then

H = 0.5 * g * t^2

1.4 = 0.5 * g * 1.55^2

g = 1.16 m/s^2

magnitude of the acceleration due to gravity on this alien planet is 1.16 m/s^2

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