Question

Assigned Problem A ramp is at an angle ? to the horizontal. A long spring is aligned with the ramp. The spring has a spring constant k and an initial length L?. The bottom end of the spring is attached to a wall. A block of mass m is sliding down the ramp. The block's speed is v? when it makes contact with the spring at time t?. The magnitude of kinetic friction on the block is f?. At a short time later (t?), the block is still moving down the ramp. The block moves a distance d between t? and t?. v? m k ? Part A: Identify each force that acts on the block between t? and t? and give an expression for the work done on the block by each force during this time interval. The expressions may include the symbols given in the problem statement as well as g: ?, k, L?, d, m, v?, f?, t?, t?, and g. Part B: Find an expression for the block's speed (v?) at time t?. The expressions may include the same symbols listed in Part A. (Partial credit tip: If you cannot solve Part B, then consider presenting a solution to a simpler version of the problem for partial credit. For example, if you could answer the problem if there were no friction, then present a solution to that problem.)

          Assigned Problem

A ramp is at an angle ? to the horizontal. A long spring is aligned with the ramp. The spring has a spring constant k and an initial length L?. The bottom end of the spring is attached to a wall. A block of mass m is sliding down the ramp. The block's speed is v? when it makes contact with the spring at time t?. The magnitude of kinetic friction on the block is f?.

At a short time later (t?), the block is still moving down the ramp. The block moves a distance d between t? and t?.

v?
m
k
?

Part A: Identify each force that acts on the block between t? and t? and give an expression for the work done on the block by each force during this time interval. The expressions may include the symbols given in the problem statement as well as g: ?, k, L?, d, m, v?, f?, t?, t?, and g.

Part B: Find an expression for the block's speed (v?) at time t?. The expressions may include the same symbols listed in Part A. (Partial credit tip: If you cannot solve Part B, then consider presenting a solution to a simpler version of the problem for partial credit. For example, if you could answer the problem if there were no friction, then present a solution to that problem.)

Assigned Problem

A ramp is at an angle ? to the horizontal. A long spring is aligned with the ramp. The spring has a spring constant k and an initial length L?. The bottom end of the spring is attached to a wall. A block of mass m is sliding down the ramp. The block's speed is v? when it makes contact with the spring at time t?. The magnitude of kinetic friction on the block is f?.

At a short time later (t?), the block is still moving down the ramp. The block moves a distance d between t? and t?.

v?
m
k
?

Part A: Identify each force that acts on the block between t? and t? and give an expression for the work done on the block by each force during this time interval. The expressions may include the symbols given in the problem statement as well as g: ?, k, L?, d, m, v?, f?, t?, t?, and g.

Part B: Find an expression for the block's speed (v?) at time t?. The expressions may include the same symbols listed in Part A. (Partial credit tip: If you cannot solve Part B, then consider presenting a solution to a simpler version of the problem for partial credit. For example, if you could answer the problem if there were no friction, then present a solution to that problem.)

Added by Francisco Jose D.

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