To confirm the results of Problem 48 you try a new experimen

To confirm the results of Problem 48, you try a new experiment. The 50-g arrow is launched in an identical man­ner so that it hits and embeds in a 3.50-kg block. The block hangs from strings. After the arrow joins the block, they swing up so that they are 0.50 m higher than the block\'s starting point. How fast was the arrow moving before it joined the block?

Solution

v = sqrt (2 g h )

= sqrt ( 2 * 9.8 * 0.5 m) = 3.13 m/s

From conserve momentum

0.050 kg * v = 3.50 kg * 3.13

v = 219 m/s