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.) a. 0.825 seconds b. 4.08 seconds c. 12.1 seconds d. 29.7 seconds e. 146.94 seconds

Respuesta :

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

The time the bottle would take to land if it were to fall the same distance on the moon instead of earth is 12.1 seconds

The acceleration due to gravity on the moon is  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

Time(t) = [tex]\sqrt{\frac{120}{0.5 \times 1.63} }[/tex] = 12.1 seconds

Hence,

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

The time the bottle would take to land if it were to fall the same distance on the moon instead of earth is 12.1 seconds.

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