Question

An object takes 5 s to reach the grond
from a height of 5 m on a planet.
What is the value of g on the planet?
​

Answer 1

Answer:-

0.4m/s²

Explanation:-

Given:-

→Time taken to reach ground = 5s

→Height = 5m

To find:-

→Value of g on the planet

Solution:-

In this case:-

•We can assume that the object is freely falling. Thus, the initial velocity of the object will be zero.

Now, let's proceed to find acceleration due to gravity(g) on the planet.

Let the value of g on the planet be gₚ.

By using the 2nd equation of motion, we get:-

=> h = ut+1/2gₚt²

=> 5 = 0(t)+1/2×gₚ×(5)²

=> 5 = 12.5gₚ

=> gₚ = 5/12.5

=> gₚ = 0.4m/s²

Thus, value of g on that planet

is 0.4m/s².

Some Extra Information:-

The 3 equations of motion, for a body freely falling under gravity are:-

• v = u+gt

• h = ut+1/2gt²

• v²-u² = 2gh