Question

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

Answer 1

Answer:

• 0.4m/s² is the required answer.

Explanation:

Given:-

• Initial velocity ,u = 0m/s
• Time taken ,t = 5s
• Height ,h = 5m

To Find:-

• Acceleration due to gravity ,g

Solution:-

As we have to calculate the acceleration due to gravity on that planet.

The acceleration produce in a body due to gravity is called acceleration due to gravity.

• h = ut +1/2×gt²

where,

• h denote height
• u denote initial velocity
• t denote time taken
• g denote acceleration due to gravity

Substitute the value we get

→ 5 = 0×5 + 1/2×g × 5²

→ 5 = 0 + 1/2 × g × 25

→ 5 = g × 12.5

→ g = 5/12.5

→ g = 0.4 m/s²

• Hence, the acceleration due to gravity on that planet is 0.4m/s².

Answer 2

Answer:

Given :-

• Initial velocity = 0 m/s
• Time = 5 sec
• Height = 5 m

To Find :-

Value of g

Solution :-

At first, we will use the formula

$\large \sf \: h = ut + \dfrac{1}{2} \times {gt}^{2}$

H = Height

U = Initial

G = Gravitation Acceleration

T = Time

5 = 0 × 5 + ½ × g (5)²

5 = 0 + ½ × g × 25

5 = 0 + 25/2 × g

5 = 25/2 × g

5 × 2/25 = g

10/25 = g

2/5 = g

0.4 = g