An electron of charge -e circulates around a helium nucleus of charge +2.which particle exerts a larger force on other?
Yikes !!!!!
Newton's Third Law !!!!
k Q1 Q2/R^2
on either of them
Q1 Q2 = Q2 Q1
To determine which particle exerts a larger force on the other, we can compare the magnitudes of the forces between the two particles using Coulomb's law.
Coulomb's law states that the force between two charged particles is given by the equation:
F = k * (|Q1| * |Q2|) / r^2
where:
F is the force between the two particles,
k is the electrostatic constant (k ≈ 9 × 10^9 N m^2/C^2),
|Q1| and |Q2| are the magnitudes of the charges of the particles, and
r is the distance between the particles.
In this case, we have an electron with charge -e and a helium nucleus with charge +2e, where e is the elementary charge. The electron has a smaller charge magnitude compared to the helium nucleus.
Therefore, we can conclude that the helium nucleus exerts a larger force on the electron.
To determine which particle exerts a larger force on the other, we need to compare the magnitudes of the forces exerted by the electron on the helium nucleus and the helium nucleus on the electron.
The force between two charged particles can be calculated using Coulomb's law:
F = k * (|q1| * |q2|) / r^2
Where:
- F is the magnitude of the force between the two charged particles.
- k is the electrostatic constant (approximately equal to 9 x 10^9 N*m^2/C^2).
- |q1| and |q2| are the magnitudes of the charges of the particles.
- r is the distance between the charged particles.
In this case, the electron has a charge of -e and the helium nucleus has a charge of +2e, where e is the elementary charge (approximately equal to 1.6 x 10^-19 C).
Now, since the forces between the two particles will be equal in magnitude but opposite in direction (Newton's third law), the magnitudes of these forces should be the same. So, the electron exerts the same magnitude of force on the helium nucleus as the helium nucleus exerts on the electron.
Therefore, both particles exert the same magnitude of force on each other.