Milanchik28
12.12.2019 •
Physics
One way to measure g on another planet or moon by remote sensing is to measure how long it takes an object to fall a given distance. a lander vehicle on a distant planet records the fact that it takes 3.58 s for a ball to fall freely 12.02 m, starting from rest.
a. what is the acceleration due to gravity on that planet? express your answer in m/s2.b. what is the acceleration due to gravity on that planet? express your answer in earth g
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Ответ:
(a) 0.94 m/s²
(b) g (planet) = 0.096g
Explanation:
(a)
From Newton's equation of motion,
S = ut + 1/2gt² equation 1
Making g the subject of equation 1
g =( S - ut)/t² equation 2
Where s = distance ( m), u = initial velocity (m/s), t = time (s), g = acceleration due to gravity (m/s²)
From the question, S = 12.02 m, t = 3.58 s, u= 0 ( at rest),
Substituting these values in equation 2
g = {12.02 -(0×3.58)}/3.58²
g = (12.02)/12.82
g = 0.94 m/s²
∴ The acceleration due to gravity on the planet = 0.94 m/s²
(b) g (planet)/g (earth) = 0.94/9.80
g (planet) = 0.096 g (earth).
The acceleration due to gravity of the planet in terms of the earth g is
g (planet) = 0.096g
Ответ: