5. A feather is dropped on the moon from a height of 1.40 meters. The acceleration of gravity on the moon is 1.67 m/s². Determine the time for the feather to fall to the surface of the moon
To determine the time for the feather to fall to the surface of the moon, we can use the following kinematic equation:
d = 1/2 * g * t^2
Where d is the distance fallen, g is the acceleration due to gravity, and t is the time taken.
We know that the initial height of the feather is 1.40 meters, and the acceleration due to gravity on the moon is 1.67 m/s². We can assume that the initial velocity of the feather is zero.
Substituting these values into the equation, we get:
1.40 = 1/2 * 1.67 * t^2
Simplifying, we get:
t^2 = 1.40 / (1/2 * 1.67)
t^2 = 1.40 / (1/2 * 1.67)t^2 = 1.68
Taking the square root of both sides, we get:
t = 1.30 seconds
Therefore, it takes approximately 1.30 seconds for the feather to fall to the surface of the moon.
Answers & Comments
To determine the time for the feather to fall to the surface of the moon, we can use the following kinematic equation:
d = 1/2 * g * t^2
Where d is the distance fallen, g is the acceleration due to gravity, and t is the time taken.
We know that the initial height of the feather is 1.40 meters, and the acceleration due to gravity on the moon is 1.67 m/s². We can assume that the initial velocity of the feather is zero.
Substituting these values into the equation, we get:
1.40 = 1/2 * 1.67 * t^2
Simplifying, we get:
t^2 = 1.40 / (1/2 * 1.67)
t^2 = 1.40 / (1/2 * 1.67)t^2 = 1.68
Taking the square root of both sides, we get:
t = 1.30 seconds
Therefore, it takes approximately 1.30 seconds for the feather to fall to the surface of the moon.