Answer :
The value of acceleration due to gravity on the moon is 1.62 m/s².
As the ball is dropped on the moon it means that the acceleration is constant.
If the acceleration is constant then we can use the equations of motion.
Using,
S = ut + 1/2at²
Where S is the displacement,
u is the initial velocity,
t is the time,
a is the acceleration due to gravity.
As the ball is dropped it means that initial velocity of the ball is zero the displacement of the ball is 2 m the time that ball takes to reach the surface of the moon is 1.57 seconds,
So, putting all the values in the equation,
We get,
2 = (0)(1.57) + 1/2a(1.57)²
a = 2×2/(1.57)²
a = 1.62m/s².
Hence the value of acceleration due to gravity on the moon is 1.62 m/s².
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