Item 10
Two equally charged, 1.00 spheres are placed with 2.00 between their centers. When released, each begins to accelerate at 225 m/s2
Part A -
What is the magnitude of the charge on each sphere?
=
1.0 x 10^-7
To find the magnitude of the charge on each sphere, we can use the formula for the electrostatic force between two charged objects. The formula is given by:
F = (k * q1 * q2) / r^2
Where F is the electrostatic force, k is the electrostatic constant (which is approximately 9.0 x 10^9 N * m^2 / C^2), q1 and q2 are the charges on the spheres, and r is the distance between their centers.
In this case, we know the electrostatic force from the equation of motion:
F = m * a
Where F is the force, m is the mass of the spheres, and a is the acceleration of the spheres.
Since the two spheres have the same charge and the same acceleration, we can equate the two equations:
m * a = (k * q^2) / r^2
Simplifying the equation, we get:
q^2 = (m * a * r^2) / k
Taking the square root of both sides, we obtain:
q = sqrt((m * a * r^2) / k)
Now, we can plug in the given values:
m = mass of the spheres (not provided),
a = 225 m/s^2,
r = 2.00 m,
k = 9.0 x 10^9 N * m^2 / C^2.
Without the value of the mass of the spheres, we cannot calculate the charge on each sphere.