In Lab #3, you will experimentally explore conservation of momentum and conservation of energy via the...

  

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In Lab #3, you will experimentally explore conservation of momentum and conservation of energy via the use of a device termed a "ballistic pendulum". The basic idea of a highly idealized "ballistic pendulum" is sketched to the right. A projectile is fired into a wooden block, which is suspended in the air by a pair of light ropes. The projectile stops in the block. After the collision, the entire system then swings up to some maximum vertical height h. + my (© [2 points] Eind an expression for the initial speed of the projectile (this is labeled v in the diagram). Optional: Create a spreadsheet formula which determines this speed from values for mi, m2, and vs. You can test your formula: m; = 0.05 kg, m: = 1.0 kg, v = 2.42 m/s → vi = 50.8 m/s (d) [3 points] Find the ratio of the kinetic energy of the system immediately after the collision to the kinetic energy of the system before the collision (i.e., of the projectile) Answer: KE(after)/KE(before) =; Note: This ratio is always < 1; therefore, kinetic energy will be lost in the collision. In Lab #3, you will experimentally explore conservation of momentum and conservation of energy via the use of a device termed a "ballistic pendulum". The basic idea of a highly idealized "ballistic pendulum" is sketched to the right. A projectile is fired into a wooden block, which is suspended in the air by a pair of light ropes. The projectile stops in the block. After the collision, the entire system then swings up to some maximum vertical height h. + my (© [2 points] Eind an expression for the initial speed of the projectile (this is labeled v in the diagram). Optional: Create a spreadsheet formula which determines this speed from values for mi, m2, and vs. You can test your formula: m; = 0.05 kg, m: = 1.0 kg, v = 2.42 m/s → vi = 50.8 m/s (d) [3 points] Find the ratio of the kinetic energy of the system immediately after the collision to the kinetic energy of the system before the collision (i.e., of the projectile) Answer: KE(after)/KE(before) =; Note: This ratio is always < 1; therefore, kinetic energy will be lost in the collision.

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