Physics
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An 18.0 g dart tip is shot horizontally from a toy gun. The tip collides with a 360 g polyester sphere suspended by a 0.750 m light string and gets stuck to it. The breaking strength of the string is 5.00 N. Find the tip's maximum speed, just before the collision, that will not provoke a string crack.
Calculate the speed of the second ball relative to the first during an collision pendulum experiment, where the first projectile (ball) elevates the pendulum to a maximum height of 3.0 cm and another projectile (ball) of the same mass triples the height to 9.0 cm.