Consider the simple mass spectrometer show in Figure 3. A single positive ion (missing 1 electron) is emitted from a source and accelerated by an emf toward a detector that uses a uniform magnetic field to steer the particle into a detection screen, where its position is measured. Assume that all of the parameters shown in the figure can be measured and are known.

1. The kinetic energy of the particle is zero as it leaves the source. What is its kinetic energy when it enters the detector?

2. What is the radius of the particle's circular motion inside the detector?

3. What is the speed of the particle inside the detector?

4. What is the magnitude of the radial acceleration of the particle inside the detector?

5. How long after the particle enters the detector does it hit the detection screen?

Figure 3: The magnetic force exerted on charged particles moving through a uniform magnetic eld