Suppose you are visiting a planet in a distant part of the galaxy.To determine the acceleration due to gravity on this planet, you drop a rock from a height of 55 m. The rock strikes the ground 1.9 s later.How many times greater is the acceleration due to gravity on this planet than that on Earth?
-1.5 m/s^2
To calculate the acceleration due to gravity on this planet, we can use the equation of motion:
h = (1/2)gt^2
Where h is the height, g is the acceleration due to gravity, and t is the time it takes for the rock to fall.
Given that the height is 55 m and the time is 1.9 s, we can rearrange the equation to solve for g:
g = (2h)/(t^2)
g = (2 * 55 m)/ (1.9 s)^2
g ≈ 19.4 m/s^2
Now, to find how many times greater the acceleration due to gravity on this planet is compared to Earth's, we need to know the acceleration due to gravity on Earth. On Earth, the standard value for acceleration due to gravity is roughly 9.8 m/s^2.
Therefore, the acceleration due to gravity on this planet is approximately:
19.4 m/s^2 / 9.8 m/s^2 ≈ 1.98
So, the acceleration due to gravity on this planet is approximately 1.98 times greater than that on Earth.