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. (a) Before Nail (pivot) Consider a situation where the disk has a mass of 52.4 g and an initial velocity of 33.8 m/s when it strikes the stick that is 1.37 m long and 2.01 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.) After rad/s b. What is the kinetic energy (in J) before and after the collision? K before= K after= c. What is the total linear momentum (in kg. m/s) before and after the collision? (Enter the magnitude.) p before= kg.m/s p after= kg.m/s

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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
Nail (pivot)
(b)
Consider a situation where the disk has a mass of
52.4 g and an initial velocity of 33.8 m/s when it
strikes the stick that is 1.37 m long and 2.01 kg at a
distance of 0.100 m from the nail.
After
a. What is the angular velocity (in rad/s) of the
two after the collision? (Enter the magnitude.)
rad/s
b. What is the kinetic energy (in J) before and
after the collision?
K before=
p before=
kg.m/s
K after=
c. What is the total linear momentum (in kg.
m/s) before and after the collision? (Enter the
magnitude.)
p after=
kg.m/s
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 Nail (pivot) (b) Consider a situation where the disk has a mass of 52.4 g and an initial velocity of 33.8 m/s when it strikes the stick that is 1.37 m long and 2.01 kg at a distance of 0.100 m from the nail. After a. What is the angular velocity (in rad/s) of the two after the collision? (Enter the magnitude.) rad/s b. What is the kinetic energy (in J) before and after the collision? K before= p before= kg.m/s K after= c. What is the total linear momentum (in kg. m/s) before and after the collision? (Enter the magnitude.) p after= kg.m/s
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