Since Work = 1/2 * mv^2 (final velocity) - 1/2 * mv^2 (initial velocity) and Work = Force * Distance, you can find the force can be found if you know the other variables. Use
this spreadsheet for specifics including angles and the velocities you need.
So say you're shooting from 6 meters (about midfield) at a 45 degree angle at the top hoop.
Code:
f * d = (mVf^2 - mVi^2) / 2
f * 6m = (0.32kg * (8.98 m/sec)^2 - 0.32 kg * (0 m/sec)^2) / 2
f = (0.32kg * (8.98 m/sec)^2 - 0.32 kg * (0 m/sec)^2) / 12 m
/* Plug into Google */
f = 2.15 Newtons
Now, that's the
net force exerted on the ball at the launch velocity. Add sin(angle) * force of gravity and you'll need to shoot the ball with about 9.1 Newtons of force (2.05 pounds). Again, use the linked spreadsheet to determine your angle and velocity.