A disk slides toward a motionless stick on a frictionless surface (figure below). The disk strikes and adheres to the stick 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. Before M Nail (pivot) After (a) (b) Consider a situation where the disk has a mass of 50.6 g and an initial velocity of 32.5 m/s when it strikes the stick that is 1.2 m long and 2.06 kg at a distance of 0.100 m from the nail. a. What is the angular velocity (in rad/s) of the two after the collision? (Enter the magnitude.) 0.166 ☐ rad/s b. What is the kinetic energy (in J) before and after the collision? K before 26.68 J K after= 0.0136 c. What is the total linear momentum (in kg m/s) before and after the collision? (Enter the magnitude.) p before 1.645 p after= kg.m/s kg.m/s Enter an integer or decimal number (more..)

College Physics
11th Edition
ISBN:9781305952300
Author:Raymond A. Serway, Chris Vuille
Publisher:Raymond A. Serway, Chris Vuille
Chapter1: Units, Trigonometry. And Vectors
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A disk slides toward a motionless stick on a frictionless surface (figure below). The disk strikes and adheres
to the stick 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.
Before
M
Nail (pivot)
After
(a)
(b)
Consider a situation where the disk has a mass of 50.6 g and an initial velocity of 32.5 m/s when it strikes
the stick that is 1.2 m long and 2.06 kg at a distance of 0.100 m from the nail.
a. What is the angular velocity (in rad/s) of the two after the collision? (Enter the magnitude.)
0.166
☐
rad/s
b. What is the kinetic energy (in J) before and after the collision?
K before 26.68
J
K after= 0.0136
c. What is the total linear momentum (in kg m/s) before and after the collision? (Enter the
magnitude.)
p before 1.645
p after=
kg.m/s
kg.m/s
Enter an integer or decimal number (more..)
Transcribed Image Text:A disk slides toward a motionless stick on a frictionless surface (figure below). The disk strikes and adheres to the stick 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. Before M Nail (pivot) After (a) (b) Consider a situation where the disk has a mass of 50.6 g and an initial velocity of 32.5 m/s when it strikes the stick that is 1.2 m long and 2.06 kg at a distance of 0.100 m from the nail. a. What is the angular velocity (in rad/s) of the two after the collision? (Enter the magnitude.) 0.166 ☐ rad/s b. What is the kinetic energy (in J) before and after the collision? K before 26.68 J K after= 0.0136 c. What is the total linear momentum (in kg m/s) before and after the collision? (Enter the magnitude.) p before 1.645 p after= kg.m/s kg.m/s Enter an integer or decimal number (more..)
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