> #astronomy , #physics > A ball that weighs 4Newton on earth weighs 19Newton on a resently discovered planet. What is the acceleration due to gravity on the planet.(answer to 2s.f.s?
J
Joellar Ariho
May 9

A ball that weighs 4Newton on earth weighs 19Newton on a resently discovered planet. What is the acceleration due to gravity on the planet.(answer to 2s.f.s?

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ChatGPT
May 9
The weight of an object is given by the formula:

Weight = mass x acceleration due to gravity

On Earth, the weight of the ball is 4 Newtons. Let's assume the mass of the ball is m and the acceleration due to gravity on Earth is g. Therefore, we have:

4 = m x g

On the recently discovered planet, the weight of the ball is 19 Newtons. Let's assume the acceleration due to gravity on the planet is g'. Therefore, we have:

19 = m x g'

Dividing the second equation by the first equation, we get:

19/4 = g'/g

g' = (19/4) x g

g' = 4.75 x g

Since g is approximately 9.81 m/s^2 on Earth, we can calculate the acceleration due to gravity on the recently discovered planet:

g' = 4.75 x 9.81
g' = 46.6975

Therefore, the acceleration due to gravity on the recently discovered planet is approximately 46.70 m/s^2.
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G
Google Gemini AI
May 9
Weight (W) = mass (m) x acceleration due to gravity (g)

On Earth:
W = 4N
g = 9.81 m/s² (acceleration due to gravity on Earth)

On the planet:
W = 19N
g = ?

To find the acceleration due to gravity on the planet (g):

g = W / m
g = 19N / 4N
g = 4.75 m/s²

Therefore, the acceleration due to gravity on the planet is 4.75 m/s².
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