Respuesta :
The acceleration of gravity on that planet is -2.86m/s². the work he must do to move the mass from the ground back up to its initial height is 4.42J.
What is acceleration and Work?
Any procedure where the velocity varies is referred to as acceleration. There are only two ways to accelerate: changing your speed or changing your direction, or changing both. This is because velocity is both a speed and a direction.
work - Work in physics is the energy that is transferred to or from an item when a force is applied along a displacement. It is frequently described in its most basic form as the result of force and displacement.
We can solve this using the kinematics equation
yf = y₀ + v₀t + at² /2
We are given that the rock is dropped from rest, so v0 =0, and that the final height is yf = 0, so our equation becomes
y₀+ at² / 2 = 0
We can solve this for a by subtracting y0 from both sides and multiplying both sides by 2 / t2:
a = -2y₀ / t²
We are give that the initial height of the rock is y0 =3.09 m and that time it takes for the rock to hit the ground is t =1.47 s, so
a = -2(3..09 m) / (1.47 s)² = -2.86m/s²
So the acceleration due to gravity on Zog is
gzog = 2.86 m/s²
The work done in moving an object a distance is defined as
W = ∫ F.dr
In our case, the force is constant, so we can just use
W = FΔy
The force acting on the rock is just its weight:
F = mgzog
Because Mr. Spock is just repeating the experiment, the distance through which the force is applied is just Δy = 3.09 m, and we are given a mass of m = 0.5 kg, so
W = mgΔy = (0.5 kg)(2.86 m/s²)(3.09 m) = 4.42J
to learn more about acceleration go to - https://brainly.com/question/460763
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