Answer:
(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
