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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 6.55 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 8.00 m from the astronaut. Find the magnitude of the acceleration due to gravity, in m/s2, on this alien planet.

User BillyNate
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1 Answer

3 votes

Answer:
1.88 m/s^2

Step-by-step explanation:

Given

initial horizontal speed of =6.55 m/s

height of rock=1.4 m

Horizontal distance=8 m

Time to travel 8 m


8=6.55* t


t=(8)/(6.55)=1.22 s

Time to cover 1.4 m


h=(at^2)/(2)


1.4=(g'1.22^2)/(2)


g'=1.88 m/s^2

User Pattle
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