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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