One way to measure g on another planet or moon by remote sensing is to measure h
ID: 1587923 • Letter: O
Question
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 3.41 s for a ball to fall freely 11.42 m , starting from rest.
PART A
What is the acceleration due to gravity on that planet? Express your answer in m/s2.
PART B
What is the acceleration due to gravity on that planet? Express your answer in earth g’s.
PART C
How fast is the ball moving just as it lands?
Explanation / Answer
here,
height of ball , h = 11.42 m
time taken , t = 3.41 s
A)
let the accelration due to gravity be g'
h = u * t + 0.5 * g' * t^2
11.42 = 0 + 0.5 * g' * 3.41^2
g' = 1.96 m/s^2
the accelration due to gravity on that planet is 1.96 m/s^2
B)
g' = g * 1.96/9.8 = 0.2 * g
g' = 0.2 * g
C)
let the final speed be v
v = u + a * t
v = 0 + 1.96 * 3.41
v = 6.68 m/s
the speed of ball when it lands is 6.68 m/s
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