Block moving down circle, a straight path, then into a spring

AI Thread Summary
The discussion revolves around a physics problem involving a block moving along a frictionless circular track, transitioning to a horizontal section with kinetic friction, and finally compressing a spring. Key points include the need to calculate the block's velocity at various points, the thermal energy produced due to friction, and the spring's stiffness constant. Energy transformations are highlighted, with potential energy converting to kinetic energy from A to B, kinetic energy decreasing due to friction from B to C, and elastic potential energy being created upon compression of the spring. Participants emphasize understanding the energy transformations to solve the problem effectively. Clarity in communication and problem-solving approach is encouraged among forum members.
bfusco
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Homework Statement


Consider the track shown in the figure. The section AB is one quadrant of a circle of radius 2.0 and is frictionless. B to C is a horizontal span 3.5 long with a coefficient of kinetic friction = 0.27. The section CD under the spring is frictionless. A block of mass 1.0 is released from rest at A. After sliding on the track, it compresses the spring by 0.35 .
A)calculate the velocity at point B.
B)Determine the thermal energy produced as the block slides from B to C.
C)calculate the velocity at point C.
D)determine the stiffness constant k for the spring.

Homework Equations





The Attempt at a Solution


A) i am having a hard time starting this question. for part A, i draw the free body diagram at the the top of the diagram (the side of the circle), i have the Normal force facing the center of the circle and the weight facing down. with that said i don't understand how to begin ƩF=mv^2/r equation in order to calculate the velocity.

 
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bfusco said:

Homework Statement


Consider the track shown in the figure. The section AB is one quadrant of a circle of radius 2.0 and is frictionless. B to C is a horizontal span 3.5 long with a coefficient of kinetic friction = 0.27. The section CD under the spring is frictionless. A block of mass 1.0 is released from rest at A. After sliding on the track, it compresses the spring by 0.35 .
A)calculate the velocity at point B.
B)Determine the thermal energy produced as the block slides from B to C.
C)calculate the velocity at point C.
D)determine the stiffness constant k for the spring.

Homework Equations





The Attempt at a Solution


A) i am having a hard time starting this question. for part A, i draw the free body diagram at the the top of the diagram (the side of the circle), i have the Normal force facing the center of the circle and the weight facing down. with that said i don't understand how to begin ƩF=mv^2/r equation in order to calculate the velocity.

OK try these clarifying questions.

What energy transformation(s) occur in the A - B section?

What energy transformation(s) take place in the B - C section?

What energy transfer takes place after C?
 
PeterO said:
OK try these clarifying questions.

What energy transformation(s) occur in the A - B section?

What energy transformation(s) take place in the B - C section?

What energy transfer takes place after C?

from A - B the potential energy would go from its greatest value to 0, all that energy would become kinetic energy.

from B - C, the kinetic energy would decrease due to work done by friction.

after C, the object would hit the spring creating elastic potential energy.

Sorry about the lack of clarity, was in a rush when i posted and I am new at communicating over forums.
 
bfusco said:
from A - B the potential energy would go from its greatest value to 0, all that energy would become kinetic energy.

from B - C, the kinetic energy would decrease due to work done by friction.

after C, the object would hit the spring creating elastic potential energy.

Sorry about the lack of clarity, was in a rush when i posted and I am new at communicating over forums.

NO NO NO

The question was perfectly clear to me - and if you understand what you have just written, then you should be able to solve the problem
 
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