No, caps are rated for different tasks like starting motors and for different motors. Just look at it this way, a capacitor is a battery and a AA battery will unlikly start your car!
A start capacitor is wired in series with the motor's start winding via a centrifugal start switch. The switch disconnects the capacitor and start winding once the motor has reached a pre-determined...
To induce a phase shift between the rotor and stator (stationary winding). AC motors are not good at starting up, they need 'help' to get started/they need two magnetic fields to push against each...
The capacitor is used to create a second phase from the single phase power source and it is the interaction between these two phases that causes the motor to turn.