The magnetic force experienced by the proton is given by

where q is the proton charge, v its velocity, B the magnitude of the magnetic field and

the angle between the direction of v and B. Since the proton moves perpendicularly to the magnetic field, this angle is 90 degrees, so

and we can ignore it in the formula.
For Netwon's second law, the force is also equal to the proton mass times its acceleration:

So we have

from which we can find the magnitude of the field:
Based on the mass of the bob and the angle between the cord and the vertical, the pendulum length is 0.50m.
The maximum kinetic energy can be found to be 9.42 x 10⁻⁴J.
<h3>What is the pendulum length?</h3>
This can be found as:
= g-force / w²
Solving gives:
= 9.8 / 4.43²
= 0.4998 m
= 0.50 m
<h3>What is the maximum kinetic energy?</h3>
This can be found as:
= 0.5 × m × w² × A²
Maximum kinetic energy is:
= 0.5 × 60 × 10⁻³ × (4.43 × 0.4998 x 0.08 rad)²
= 9.42 x 10⁻⁴J
Find out more on maximum kinetic energy at brainly.com/question/24690095.
Kinetic energy = 1/2 m v^2 = 1/2 x1.5 x10^-3 x 0.36