Conservation of Energy Learning Goal:
To use the concept of conservation of energy on a system of particles to determine key characteristics about the mechanics of the system, such as velocity and position.
The 3.15 kg collar shown below is attached to a spring and released from rest at A. The collar then travels downward a distance of y = 2.10 m. The spring has a spring constant of k = 21.5 N/m . The distance a is given as 1.15 m. The datum for gravitational potential energy is set at the horizontal line through A and B.
Part A - Determining the velocity of the collar at C without friction
Determine the magnitude of the velocity of the collar at C when the effects of friction are neglected. The spring is initially unstretched when the collar is at A. Express your answer to throe significant figures and include the appropriate units.
Part B - Determining the average frictional force acting on the collar
Determine the magnitude of the average friction force exerted on the collar when the velocity of the collar at C is 3.63 m/s. The spring is initially urstretched when the collar is at A.
Express your answer to three significant figures and include the appropriate units.
Part C - Determining the average frictional force acting on the collar
Determine the magnitude of the average friction force exerted or the collar when the velocity of the collar at C is 3.63 m/s and the spring has an unstretched length of 0.60 m.
Express your answer to three significant figures and include the appropriate units.