Attempt 2 - Incorrect - 4.50 sBlock on Incline: Calculate μk &Travel Time

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The discussion revolves around calculating the coefficient of kinetic friction (μk) and the travel time of a cube sliding down a 12.5-degree incline. The cube, with a mass of 0.425 kg, has measured speeds of 0.913 m/s at position 1 and 1.171 m/s at position 2. Initial attempts to solve for μk and travel time yielded incorrect results, prompting a suggestion to first calculate the acceleration using a presumed coefficient of friction. The correct approach involves applying kinematic equations to derive the necessary values. The focus remains on accurately determining μk and the time taken for the cube to travel between the two positions.
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Homework Statement



A cube of mass M=0.425 kg is placed on an incline of 12.5* and given a push. It slides down, and its speed down the incline is measured at two positions, [1] and [2] on the diagram below, with V1 = 0.913 m/s and V2 = 1.171 m/s. Note that the incline passes through at least two grid intersections and that one cube corner is at x grid lines. (See attachment.)


A. Calculate μk, the coefficient of kinetic friction for the block on the incline.


B. Calculate the travel time of the cube from position 1 to position 2.



2. The attempt at a solution

A. Attempt 1 - Incorrect - 0.813
Attempt 1 - Incorrect - 0.2216
Attempt 1 - Incorrect - 0.222

B. Attempt 1 - Incorrect - 2.67 s
 

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What is the problem? Just calculate the acceleration down the incline with a supposed coefficient of friction. Then use kinematic eqns. to make out the coefficient.
 
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