The table lists the mass and charge of a proton and a neutron.
2 answers:
The gravitational force is much larger than the electrical force for any distance between the particles.
Explanation:
The gravitational force between two particles is given by:
where
G is the gravitational constant
m1, m2 are the masses of the two particles
r is the separation between the two particles
The electric force between two particles is given by:
where
k is the Coulomb's constant
q1, q2 are the charges of the two particles
r is the separation between the two particles
In this problem, we are comparing the gravitational force and the electric force between a proton and a neutron.
We must immediately notice that the charge of the neutron is zero, since it is electrically neutral:
q = 0
This means that the electric force between the proton and the neutron is always zero, regardless of their distance. And therefore, since their masses is not zero (and the gravitational force is never zero), the correct answer is
The gravitational force is much larger than the electrical force for any distance between the particles.
Learn more about gravitational force:
About electrical force:
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Sarah's acceleration is
Explanation:
The force of kinetic friction acting on Sarah has a magnitude which is given by:
where
is the coefficient of kinetic friction
m is Sarah's mass
g is the acceleration of gravity
Moreover, according to Newton's second law of motion, we know that the net force on Sarah is equal to its mass times its acceleration:
where a is the acceleration
Since the force of friction is the only force acting on Sarah, we can say that the net force is equal to the force of friction, therefore:
where the negative sign is due to the fact that the force of friction has a direction opposite to the motion of Sarah. Solving for a, we find
And substituting the following values:
(coefficient of friction)
(acceleration of gravity)
we find:
Learn more about acceleration and forces:
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