Learning objective

Materials

Problems

1. A 56.2-gram tennis ball is loaded into a 1.27-kg homemade cannon. The cannon is at rest when it is ignited. Immediately after the impulse of the explosion, a photogate timer measures the cannon to recoil backwards a distance of 6.1 cm in 0.0218 seconds. Determine the post-explosion speed of the cannon and of the tennis ball.

2.  A certain nucleus containing 226 nucleons (a nucleon is the generic term for a proton or a neutron) decays spontaneously, emitting an alpha particle (an alpha particle consists of 4 nucleons). The original nucleus was at rest; the alpha and the remainder nucleus move off after "collision" with different velocities. What fraction of the total final kinetic energy does the alpha particle have?

3.
A 4.0-kg mass has a velocity of 4.0 m/s, east when it explodes into two 2.0-kg masses. After the explosion one of the masses has a velocity of 3.0 m/s at an angle of 60° north of east. What is the magnitude of the velocity of the other mass after the explosion?

4. A 62.1-kg male ice skater is facing a 42.8-kg female ice skater. They are at rest on the ice. They push off each other and move in opposite directions. The female skater moves backwards with a speed of 3.11 m/s. Determine the post-impulse speed of the male skater.

5. A 1.5-kg cannon is mounted on top of a 2.0-kg cart and loaded with a 52.7 gram ball. The cannon, cart, and ball are moving forward with a speed of 1.27 m/s. The cannon is ignited and launches a 52.7 gram ball forward with a speed of 75 m/s. Determine the post-explosion velocity of the cannon and cart.