a small sphere with a mass of 108.0 g is moving along the y-axis when it encounters an electric field of 5.0i N/C . If the sphere suddenly accelerates
13.0i m/s^2, what is the charge that it carries?
force=m*a
Q=mass/E * a
To find the charge that the sphere carries, we need to make use of the equation that relates force, electric field, and charge:
F = q * E
where:
F is the force experienced by the charged particle,
q is the charge of the particle, and
E is the electric field strength.
In this case, we are given the mass (m) and acceleration (a) of the sphere. We can use the equation F = m * a to find the force acting on the sphere.
F = m * a
F = (0.108 kg) * (13.0 m/s^2)
F = 1.404 N
Since the force experienced by the particle is given as F = 5.0i N/C, we can compare the two equations:
F = q * E
1.404 N = q * (5.0 N/C)
To solve for q, we can rearrange the equation:
q = F / E
q = 1.404 N / 5.0 N/C
Therefore, the charge carried by the sphere is:
q ≈ 0.281 C