Question
Repeat Example 10.15 in which the stick is free to have translational motion as well as rotational motion.

#### Example 10.15

Suppose the disk in Figure 10.26 has a mass of 50.0 g and an initial velocity of 30.0 m/s when it strikes the stick that is 1.20 m long and 2.00 kg.
1. What is the angular velocity of the two after the collision?
2. What is the kinetic energy before and after the collision?
3. What is the total linear momentum before and after the collision?
Question Image Figure 10.26 (a) A disk slides toward a motionless stick on a frictionless surface. (b) The disk hits the stick at one end and adheres to it, and they rotate together, pivoting around the nail. Angular momentum is conserved for this inelastic collision because the surface is frictionless and the unbalanced external force at the nail exerts no torque.

a) $1.70 \textrm{ rad/s}$

b) $KE = 22.5 \textrm{ J}$

$KE' = 2.04 \textrm{ J}$

c) $p = p' = 1.50 \textrm{ kg}\cdot \textrm{m/s}$

Solution Video

# OpenStax College Physics Solution, Chapter 10, Problem 47 (Problems & Exercises) (8:37)    