Problem 3.13 The gravitational force between two masses is F = −G (M₁ M2/r²) and the electrostatic= -k(Q1 Q2/r²). (a) Show that all massive objects attracted toforce between two opposite charges is Fthe Earth will have the same acceleration independent of mass. (b) Show that two charged objects attractedto a point charge Q will not have the same acceleration unless both have the same charge to mass ratio.

We will answer the question using Newton's law of motion. The steps are as follows.

Problem 3.13 The gravitational force between two masses is F = -G (M₁ M2/r²) and the electrostatic force between two opposite charges is F = -k (Q1Q2/r²). (a) Show that all massive objects attracted to the Earth will have the same acceleration independent of mass. (b) Show that two charged objects attracted to a point charge Q will not have the same acceleration unless both have the same charge to mass ratio.

Problem 3.13 The gravitational force between two masses is F = -G (M₁ M2/r²) and the electrostatic force between two opposite charges is F = -k (Q1Q2/r²). (a) Show that all massive objects attracted to the Earth will have the same acceleration independent of mass. (b) Show that two charged objects attracted to a point charge Q will not have the same acceleration unless both have the same charge to mass ratio.