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3 years ago

What is the gravitational attraction on you due to a mountain with a mass of 100 million metric tons 1 km away ?

Physics

1 answer:

nikklg [1K]3 years ago

6 0

The magnitude of the gravitational attraction is $4\cdot 10^{-4} N$ .

Explanation:

The magnitude of the gravitational force between two objects is given by

$F=G\frac{m_1 m_2}{r^2}$

where

$G=6.67\cdot 10^{-11} m^3 kg^{-1}s^{-2}$ is the gravitational constant

m1, m2 are the masses of the two objects

r is the separation between them

In this problem, we have

$m_1 = 60 kg$ is my mass

The mass of the mountain is 100 million tons, and keeping in mind that

1 ton = 1000 kg

The mass of the mountain is

$m_2 = 100 \cdot 10^6 tons =100 \cdot 10^6 tons \cdot (1000 kg/ton)=100\cdot 10^9 kg$

The distance between me and the mountain is

r = 1 km = 1000 m

Therefore, the gravitational attraction is

$F=\frac{(6.67\cdot 10^{-11})(100\cdot 10^9)(60)}{(1000)^2}=4\cdot 10^{-4} N$

Learn more about gravitational force here:

brainly.com/question/1724648

brainly.com/question/12785992

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Answer:

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Explanation:

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