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 6.55 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.

Answer 1

Answer:$1.88 m/s^2$

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

$8=6.55\times t$

$t=\frac{8}{6.55}=1.22 s$

Time to cover 1.4 m

$h=\frac{at^2}{2}$

$1.4=\frac{g'1.22^2}{2}$

$g'=1.88 m/s^2$