Question

a bottle lying on the windowsill falls off and takes 4.95 seconds to reach the ground. the distance from the windowsill to the ground is 120.00 meters. find the time the bottle would take to land if it were to fall the same distance on the moon instead of earth. (note: acceleration due to gravity on the moon is 1/6 that on earth.)

Answer 1

120/4.95 = 24.24 24.24/6 = 4.04 120/4.04 = 29.70 29.70 I think

Answer 2

12.3 s

Step-by-step explanation:

The acceleration due to gravity on the moon is
`(g)/(6)` where g (9.8 m/s²) is the acceleration due to gravity on the Earth.

Distance to the ground, s = 120 m

Initial velocity = 0

Use the second equation of motion:

s = u t + 0.5 gt²

⇒ 120.0 m = 0 + 0.5 (1.63 m/s²) t²

`\Rightarrow t = \sqrt{(120)/(0.5 * 1.63)} = 12.13 s`

Thus, it will take more time for a bottle to fall on the Moon than on the Earth off the same height.