Question

Please provide work and explanations!

Example 13.4.2 Sample Problem Work done by a gravitational force Two stationary particles with mass m = 3.00 x 10-13 kg and m2 = 5.00 x 10-13 kg are initially separated by distance r = 2.60 x 10-3 m. We double their separation and then they are stationary again. We want to calculate how much work we do in increasing the separation and how much is done by the gravitational force between the particles.

Answer 1

given
m1 = 3*10^-13 kg
m2 = 5*10^-13 kg
ri = 2.6*10^-3 m
rf = 2*r1

= 2*2.6*10^-3

= 5.2*10^-3 m

Question 2)

Workdone by us, W_us = Uf - Ui

= -G*m1*m2/rf - (-G*m1*m2/rf)

= -6.67*10^-11*3*10^-13*5*10^-13/(5.2*10^-3) - (-6.67*10^-11*3*10^-13*5*10^-13/(2.6*10^-3))

= 1.92*10^-33 J <<<<<<<-----Answer

Question 3)

Workdone by gravitational force,

W = Ui - Uf

= -6.67*10^-11*3*10^-13*5*10^-13/(2.6*10^-3)- (-6.67*10^-11*3*10^-13*5*10^-13/(5.2*10^-3) )

= -1.92*10^-33 J <<<<<<<-----Answer