Question

If the mass of a proton is 1.67×10⁻²⁷ kg and the mass of an electron is 9×10−³¹kg, calculate the force of gravitation between:

a) A proton and an electron
b) Two electrons
c) Two protons

Given: G=6.67×10−¹¹N m²/kg, distance between protons =4.0m, =2×10 ⁻²m, distance between protonand electron =5.4×10−¹¹m.

Answer 1

The force of gravitation between particles can be calculated using the formula FG = GmM/r^2. The forces of gravitation between a proton and an electron, two electrons, and two protons are 9.6 × 10^-13 N, 3.38 × 10^-69 N, and 2.39 × 10^-48 N respectively.

Step-by-step explanation:

To calculate the force of gravitation between two particles, we can use the formula FG = GmM/r^2, where G is the gravitational constant, m and M are the masses of the particles, and r is the distance between them.

a) To calculate the force between a proton and an electron, we can use their respective masses and the given distance. Plugging in the values, we get:

FG = (6.67×10^-11 N m²/kg^2)(1.67×10^-27 kg)(9×10^-31 kg)/(5.4×10^-11 m)^2 = 9.6 × 10^-13 N

b) To calculate the force between two electrons, we can use their masses and the given distance. Using the same formula, we get:

FG = (6.67×10^-11 N m²/kg^2)(9×10^-31 kg)(9×10^-31 kg)/(2×10^-12 m)^2 = 3.38 × 10^-69 N

c) To calculate the force between two protons, we can use their masses and the given distance. Plugging in the values, we get:

FG = (6.67×10^-11 N m²/kg^2)(1.67×10^-27 kg)(1.67×10^-27 kg)/(4.0 m)^2 = 2.39 × 10^-48 N