In a laboratory experiment, you wish to determine the initial speed of a dart just after it leaves a dart gun. The dart, of mass

**m**, is fired with the gun very close to a wooden block of mass

**M**_{o} which hangs from a cord of length

and negligible mass, as shown above. Assume the size of the block is negligible compared to

, and the dart is moving horizontally when it hits the left side of the block at its center and becomes embedded in it. The block swings up to a maximum angle

_{ }from the vertical. Express your answers to the following in terms of

**m**,

**M**_{o},

,

and

**g**.

At your lab table you have only the following additional equipment.

The dart is now shot into a block of wood that is fixed in place. The block exerts a force **F** on the dart that is proportional to the dart’s velocity **v** and in the opposite direction, that is *F = -bv*, where **b** is a constant.