How to find the coefficient of kinetic friction

AI Thread Summary
To find the coefficient of kinetic friction for a 4.0-N hockey puck decelerating at 0.61 m/s², the equation fk = ukFN is used, where fk is the frictional force and FN is the normal force. The attempted solution incorrectly equates acceleration to force without proper unit consideration. It's important to first determine the puck's mass from its weight to apply Newton's second law effectively. The discussion emphasizes the need to work symbolically and correctly interpret the relationship between forces and acceleration. Understanding that this problem involves friction and Newton's laws is crucial for arriving at the correct coefficient of kinetic friction.
Ushitha Dissanayake
Messages
9
Reaction score
0

Homework Statement


The speed of a 4.0-N hockey puck, sliding across a level ice surface, decreases at the rate of 0.61 m/s2. The coefficient of kinetic friction between the puck and ice is:
A) 0.062
B) 0.25
C) 0.41
D) 0.62
E) 1.2

Homework Equations


I'm not too sure but i know that :
If the body begins to slide along the surface, the magnitude of the
frictional force rapidly decreases to a value fk given by
fk =ukFN
where uk is the coefficient of kinetic friction

The Attempt at a Solution


fk =ukFN
0.61=uk4
uk=0.61/4
uk=0.1525
But i was wrong
 
Physics news on Phys.org
Hi Ushitha Dissanayake

Welcome to Physics Forums!

Don't be too quick to plug in numbers, It's easier to follow your work if you work symbolically as much as possible.

You can use the ##x_2## and ##x^2## icons in the edit panel header to create subscripts or superscripts for your text-mode equations. The ##\Sigma## icon gives you access to a menu of math symbols that you can also use.

Ushitha Dissanayake said:
fk =ukFN
0.61=uk4
uk=0.61/4
uk=0.1525
I don't understand the second line in the above. You seem to be equating an acceleration to a force? (It's hard to tell because there are no units associated with the numeric values). Is FN the normal force (weight of the puck)?

You know the weight (in Newtons) of the puck so you can find its mass, right? Since you're given the puck's acceleration, can you then use Newton's 2nd law to find the force acting on it?
 
  • Like
Likes Ushitha Dissanayake
Oh i see, i was actually just using the kinetic energy formula but i didn't properly realize that ƒk was the force of kinetic energy. Thanks for the help
 
Kinetic energy doesn't have a force. This is a question about force due to friction and one of Newton's laws.
 
In addition to all of the above comments, consider using the information that you have a 4.0 N puck as opposed to a puck with a different weight. You do not appear to have used that information in your attempted solution.
 
Kindly see the attached pdf. My attempt to solve it, is in it. I'm wondering if my solution is right. My idea is this: At any point of time, the ball may be assumed to be at an incline which is at an angle of θ(kindly see both the pics in the pdf file). The value of θ will continuously change and so will the value of friction. I'm not able to figure out, why my solution is wrong, if it is wrong .
TL;DR Summary: I came across this question from a Sri Lankan A-level textbook. Question - An ice cube with a length of 10 cm is immersed in water at 0 °C. An observer observes the ice cube from the water, and it seems to be 7.75 cm long. If the refractive index of water is 4/3, find the height of the ice cube immersed in the water. I could not understand how the apparent height of the ice cube in the water depends on the height of the ice cube immersed in the water. Does anyone have an...
Back
Top