On the Moon, the acceleration due to gravity is 1.62 m/s2. How far would a 13 g rock fall from rest in 5.5 seconds if the only force acting on it was the gravitational force due to the Moon?
h=1/2 (1.62)(5.5)^2
To calculate the distance a rock falls under the influence of gravity, we can use the equation for free fall:
distance = 0.5 * acceleration * time^2
Given:
acceleration due to gravity on the Moon (a) = 1.62 m/s^2
time (t) = 5.5 seconds
Now, we can substitute the values into the equation and solve for distance:
distance = 0.5 * 1.62 m/s^2 * (5.5 seconds)^2
First, square the time:
distance = 0.5 * 1.62 m/s^2 * 30.25 seconds^2
Next, multiply the acceleration by the squared time:
distance = 0.5 * 1.62 m/s^2 * 30.25 seconds^2
distance = 24.61 meters
Therefore, a 13 g rock would fall from rest for approximately 24.61 meters on the Moon if the only force acting on it is the gravitational force.