Question

Please work out and explain

3. a) What is the magnitude of the gravitational force between the proton and the electron when they are separated by 1 nm? b) What is the electrical force between the proton and the electron when they are separated by 1 nm? c) Which force is the stronger? d) How many significant figures would have to be used before the weaker force would alter the net force from being equal to the stronger force? [EXAMPLE: if F1-1.000 Nt and F2-0.01 Nt, then Fnet F to 2 significant figures (1.0), but the third significant figure would be changed (1.01 instead of 1.00).] Answers to Supplementary Problems: 3. a) 1.01 x 1049 Nt; b) 2.3 x 10-10 Nt; c) electrical; d) 39

Answer 1

Gravitational force F_G = 6.67 times 10^-11 times 9.1 times 10^-31 times 1.67 times 10^-27/(10^-9)62 F_G = 1.01 times 10^-49 Newton electrical force is stronger than gravitational force F_E/F_G = 2.3 times 10^-10/1.01 times 10^-49 almostequalto 2.3 times 10^39 39 significant figures