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

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SUMMARY

The discussion focuses on calculating the coefficient of kinetic friction (μk) and the travel time of a cube sliding down a 12.5° incline. The cube has a mass of 0.425 kg, with measured speeds of V1 = 0.913 m/s and V2 = 1.171 m/s at two positions. Initial attempts to calculate μk yielded incorrect values of 0.813, 0.2216, and 0.222, while the travel time was incorrectly calculated as 2.67 seconds. The correct approach involves determining the acceleration down the incline using kinematic equations and the known coefficient of friction.

PREREQUISITES
  • Understanding of Newton's laws of motion
  • Knowledge of kinematic equations
  • Familiarity with the concept of friction, specifically kinetic friction
  • Basic algebra for solving equations
NEXT STEPS
  • Calculate acceleration down an incline using the formula a = (V2^2 - V1^2) / (2 * d), where d is the distance between positions 1 and 2.
  • Learn how to derive the coefficient of kinetic friction using the formula μk = (m * g * sin(θ) - m * a) / (m * g * cos(θ)).
  • Study the application of kinematic equations in real-world scenarios involving inclined planes.
  • Explore the effects of varying incline angles on the coefficient of friction and acceleration.
USEFUL FOR

This discussion is beneficial for physics students, educators, and anyone interested in understanding the dynamics of motion on inclined planes and the calculations involved in frictional forces.

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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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