Kinematics and angular speed of a collision between a rod and puck

In summary, kinematics is the study of an object's motion without considering the forces that cause it. Angular speed is calculated by dividing the change in angle by the change in time and is affected by factors such as mass, velocity, angle, and location in a collision between a rod and puck. The conservation of angular momentum states that the total angular momentum of a system remains constant in the absence of external torques, meaning that in a collision between a rod and puck, the initial and final angular momentums will be equal. Additionally, the concept of angular speed can be applied to linear motion using the formula v=rω, where v is the linear speed, r is the distance from the center of rotation, and ω is the angular
  • #1
ac7597
126
6
Homework Statement
A rod of mass 1.8 kg and length 3.3 m lies motionless on the frictionless ice, pointing North-South. A glue-covered hockey puck of mass 0.6 kg slides towards the rod at a speed of 8 m/s heading East.
What is the total kinetic energy of these objects?

The puck collides with the rod at the very middle of the rod, and sticks there.

What is the final linear speed of the combined object after the collision?

What is the final angular speed of the combined object after the collision?

What is the total kinetic energy of these objects now, after the collision?
Relevant Equations
KE= (1/2) (mass)(velocity)^2
initial total KE= (1/2)(0.6kg)(8m/s)^2 = 19.2J
(0.6kg)(8m/s) = (0.6kg+1.8kg)(vf)
vf= 2m/s
final KE= (1/2)(0.6kg+1.8kg)(2m/s)^2 = 4.8J
I tried to use linear speed=angular speed * radius : thus
2m/s= angular speed * (3.3m/2)
angular speed= 1.2 rad/s
Apparently that is wrong.
 
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  • #2
Can you describe what angular speed is, rather than just a formula. That should be a big hint, if you think about the problem description.
 
  • #3
0 rad/s
 
  • #4
ac7597 said:
0 rad/s
Yes.
 

FAQ: Kinematics and angular speed of a collision between a rod and puck

What is kinematics?

Kinematics is the branch of physics that studies the motion of objects without considering the forces that cause the motion.

What is angular speed?

Angular speed is the rate at which an object rotates or moves around a fixed point, measured in radians per second.

What factors affect the angular speed of a collision between a rod and puck?

The angular speed of a collision between a rod and puck is affected by the mass and velocity of the objects, as well as the angle and location of the collision.

How does the collision between a rod and puck affect their individual angular speeds?

In a collision between a rod and puck, their individual angular speeds may change due to the transfer of momentum and energy between the two objects.

How can the kinematics and angular speed of a collision between a rod and puck be calculated?

The kinematics and angular speed of a collision between a rod and puck can be calculated using equations and principles from classical mechanics, such as conservation of momentum and energy.

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