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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?
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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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.