Question

Imagine two 2.5g bags of protons, one at the earth's north pole and the other at the south pole.How many protons are in each bag?Calculate the gravitational attraction that each bag exerts on the other.Calculate the the electrical repulsion that each bag exerts on the other.Is the gravitational force in part B large enough for you to feel if you were holding one of the bags?Is the electrical force in part C large enough for you to feel if you were holding one of the bags?

Answer 1

Answer:

$2.56762\times 10^{-30}\ N$

$3176682.85012\ N$

Explanation:

The gravitational force between the particles is

$F_G=\dfrac{Gm_1m_2}{r^2}\\\Rightarrow F_G=\dfrac{6.67\times 10^{-11}\times (2.5\times 10^{-3})^2}{(2\times 6.371\times 10^6)^2}\\\Rightarrow F_G=2.56762\times 10^{-30}\ N$

The gravitational attraction that each bag exerts on the other $2.56762\times 10^{-30}\ N$

The number of protons

$n=\dfrac{2.5\times 10^{-3}}{1.67\times 10^{-27}}\\\Rightarrow n=1.49701\times 10^{24}$

Electrical force is given by

$F=\dfrac{kq_1q_2}{r^2}\\\Rightarrow F=\dfrac{8.99\times 10^9\times (1.49701\times 10^{24}\times 1.6\times 10^{-19})^2}{(2\times 6.371\times 10^6)^2}\\\Rightarrow F=3176682.85012\ N$

The electrical repulsion that each bag exerts on the other $3176682.85012\ N$

The gravitational force is very weak and we will not feel it.

The electrical force is very strong so we will feel it.