High School

A ball dropped from a height of 2 meters by an astronaut on the moon reaches the ground in 1.57 seconds. What is the value of the acceleration of gravity on the moon?

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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