Physics Answers
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 is fired with the gun very close to a wooden block of mass which hangs from a cord of length and negligible mass as shown below. 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 answer to the following in terms of , , , , and .
C. 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. Derive an expression for the distance L that the dart penetrates into the block in terms of m, , and b.
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