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

In summary, a cube with a mass of 0.425 kg is pushed down an incline of 12.5* and its speed is measured at two positions, with V1 = 0.913 m/s and V2 = 1.171 m/s. The goal is to calculate the coefficient of kinetic friction (μk) and the travel time of the cube from position 1 to position 2. Attempt 1 resulted in incorrect values for both μk and the travel time. The solution involves calculating the acceleration down the incline and using kinematic equations to determine μk.
  • #1
mparsons06
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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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  • #2
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.
 

1. What is μk and how is it calculated?

μk, also known as the coefficient of kinetic friction, is a measure of the amount of friction between two surfaces in contact when one is in motion. It is calculated by dividing the force of kinetic friction by the normal force.

2. How is travel time calculated for an object on an incline?

Travel time on an incline can be calculated using the equation t = √(2h/gsinθ), where t is the travel time, h is the height of the incline, g is the acceleration due to gravity, and θ is the angle of the incline.

3. What factors affect the value of μk?

The value of μk is affected by several factors, including the type of material and surface of the objects in contact, the roughness of the surfaces, and the force pressing the objects together.

4. How does the weight of an object affect its travel time on an incline?

The weight of an object affects its travel time on an incline by increasing the force of gravity acting on the object, which in turn affects the acceleration and speed of the object as it moves down the incline.

5. Can the value of μk ever be greater than 1?

No, the value of μk cannot be greater than 1 as it represents the ratio of the force of kinetic friction to the normal force, which can never be greater than 1.

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