Calculate the time it takes for an object to fall from a 10-meter height on Mars, where the acceleration due to gravity is 3.71 m/s², and on the Moon, where the acceleration due to gravity is 1.625 m/s²
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To calculate the time it takes for an object to fall from a given height, we can use the equation:
h = (1/2)gt^2
Where:
h = height
g = acceleration due to gravity
t = time
On Mars:
h = 10 meters
g = 3.71 m/s²
10 = (1/2)(3.71)t^2
20 = 3.71t^2
t^2 = 20 / 3.71
t^2 ≈ 5.38709582
t ≈ √5.38709582
t ≈ 2.3192 seconds
Therefore, it takes approximately 2.3192 seconds for an object to fall from a 10-meter height on Mars.
On the Moon:
h = 10 meters
g = 1.625 m/s²
10 = (1/2)(1.625)t^2
20 = 1.625t^2
t^2 = 20 / 1.625
t^2 ≈ 12.3076923
t ≈ √12.3076923
t ≈ 3.50685 seconds
Therefore, it takes approximately 3.50685 seconds for an object to fall from a 10-meter height on the Moon.
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