Solve the following problem:
Problem: A 1.00-m length of wire is held in an east-west direction and moves horizontally to the north with a speed of 1.00 m/s. The Earth's magnetic field in this region is of magnitude 50.0 µT and is directed northward and 53.0° below the horizontal.
Part a: Calculate the magnitude of the induced emf between the ends of the wire.
Part b: Determine which end is positive.
Explain the each step in detail for help.