Question

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

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Answer 1

Given :-

• An object takes 5 s to reach the ground from a height of 5 m on a planet.

To Find :-

• Value of Gravitational acceleration on the planet.

Solution :-

We know that,

➢ S = ut + 1/2 gt²

Here,

⍟  s = Height

⍟  u = Initial velocity.

⍟  t = Time in seconds

⍟  g = Gravitational acceleration

In this case the initial velocity = 0

Putting the values together, we have :

➟  5m = 0 × 5 + 1/2 × g × (5)²

➟  5 = 1/2 × g × (5)²

➟  g = 5×2/5×5

➟  g = 2/5

➟  g = 0.4m/s²

The g on the planet is therefore 0.4m/s²

Answer 2

QUESTION :- An object takes 5 s to reach the ground from a height of 5 m on a planet. What is the value of g on the planet ?

ANSWER :-

Given :-

Time (t) = 5 s, height (s) = 5 m

To find :-

Gravitational Acceleration (g)

Formula :-

$\sf\fbox\purple{s = ut + \frac{1}{2} {gt}^{2}}$

Here,

⇒ s = Height

⇒ u = Initial velocity

⇒ t = Time (in seconds)

⇒ g = Gravitational Acceleration

Initial Velocity is not given, Hence we take initial velocity as 0.

Now putting values given in the formula,

$\sf 5 = 0 \times t + \frac{1}{2}g {(5)}^{2}$

∴ $\sf 5 = \frac{1}{2}g \times 25$

∴ $\sf g = 2 \times \frac{1}{25} \times 5$

∴ $\sf g = \frac{2}{5}$

∴ $\sf \fbox \orange{g = 0.4m/ {s}^{2}}$

Hence the gravitational acceleration of the planet is 0.4m/s².

Hope it helps✌

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