Answer:
The rock will rise H/6 units high on earth
Explanation:
In order to find the height to which rock rises, we use 3rd equation of motion. The 3rd equation of motion is as follows:
2gh = Vf² - Vi²
h = (Vf² - Vi²)/2g
where,
h = height
Vf = Final Velocity
Vi = Initial Velocity
g = acceleration due to gravity
<u>ON MOON</u>:
On moon:
h = H
Vf = 0 m/s (rock stops at highest point for a moment)
Vi = Vi
g = -(1/6) g (negative sign due to upward motion)
Therefore,
H = (0² - Vi²)/[-(2)(1/6)(g)]
H = 3Vi²/g
H/3 = Vi²/g ------ equation (1)
<u>ON EARTH</u>:
On earth:
h = ?
Vf = 0 m/s (rock stops at highest point for a moment)
Vi = Vi (same initial velocity)
g = - g (negative sign due to upward motion)
Therefore,
h = (0² - Vi²)/(-2g)
h = Vi²/2g
h = (1/2)(Vi²/g)
using equation (1), we get:
h = (1/2)(H/3)
<u>h = H/6</u>