On a distant planet, an astronaut drops a wrench. The wrench falls a distance of 1.52m in a time of 0.705s. What is the acceleration due to gravity on this planet?
To find the acceleration due to gravity on this distant planet, we can use the equations of motion for free fall.
The equation we will use is:
d = (1/2) * g * t^2
Where:
- d is the distance fallen (1.52m)
- g is the acceleration due to gravity
- t is the time of fall (0.705s)
Rearranging the equation to solve for g, we have:
g = (2 * d) / (t^2)
Substituting the given values, we have:
g = (2 * 1.52) / (0.705^2)
Calculating this, we find:
g ≈ 5.98 m/s^2
Therefore, the acceleration due to gravity on this distant planet is approximately 5.98 m/s^2.