Understanding the Concepts

* Magnetic Force on a Charged Particle: A charged particle moving in a magnetic field experiences a force. The magnitude of this force is given by:

* F = qvB sin θ

* F is the magnetic force

* q is the charge of the particle

* v is the velocity of the particle

* B is the magnetic field strength

* θ is the angle between the velocity and the magnetic field

* Right-Hand Rule: To determine the direction of the magnetic force, we use the right-hand rule.

* Point your fingers in the direction of the velocity (east).

* Curl your fingers towards the direction of the magnetic field (upward).

* Your thumb will point in the direction of the force (south).

Calculations

1. Identify the knowns:

* Force (F) = 8.8 x 10^-19 N

* Charge of a proton (q) = 1.602 x 10^-19 C

* Magnetic field strength (B) = 5.5 x 10^-5 T

* Angle (θ) = 90° (since the velocity is east and the field is upward)

2. Rearrange the magnetic force equation to solve for velocity (v):

* v = F / (qB sin θ)

3. Plug in the values:

* v = (8.8 x 10^-19 N) / (1.602 x 10^-19 C * 5.5 x 10^-5 T * sin 90°)

4. Calculate:

* v ≈ 9.99 x 10^4 m/s

Answer: The speed of the proton is approximately 9.99 x 10^4 m/s.