Beginnger Coefficient of Kinetic Friction Problem

AI Thread Summary
To determine the coefficient of kinetic friction between a box and the floor, a horizontal force of 28N is applied to a 10.2 kg box moving at constant velocity. The normal force is calculated as 100N, derived from the weight of the box. The frictional force opposing the motion equals the applied force, resulting in a frictional force of 28N. The coefficient of kinetic friction is then calculated as μk = 28N / 100N, yielding a value of 0.28. The discussion emphasizes that the coefficient should always be expressed as a positive value.
amd123
Messages
110
Reaction score
0

Homework Statement



If you exert 28N of horizontal force while pushing a 10.2 kg box across the surface of a floor at constant velocity, then what is the kinetic friction coefficient between floor and the box?

Homework Equations



EF = ma
Ffk = uK * Fn


The Attempt at a Solution



Fg = 10.2 * -9.8 = -100 = 100 = FN
Ef = ma
28N + Ffk = 10.2 * 0 m/s^2 (constant velocity)
Ffk = -28N

uk = -28/100 = -.28 coefficient is this correct?
 
Physics news on Phys.org
Perfectly correct, except for the minus sign. μN just gives the magnitude of the friction force; μ is always positive.
 
thanks for the help
 
I multiplied the values first without the error limit. Got 19.38. rounded it off to 2 significant figures since the given data has 2 significant figures. So = 19. For error I used the above formula. It comes out about 1.48. Now my question is. Should I write the answer as 19±1.5 (rounding 1.48 to 2 significant figures) OR should I write it as 19±1. So in short, should the error have same number of significant figures as the mean value or should it have the same number of decimal places as...
Thread 'A cylinder connected to a hanging mass'
Let's declare that for the cylinder, mass = M = 10 kg Radius = R = 4 m For the wall and the floor, Friction coeff = ##\mu## = 0.5 For the hanging mass, mass = m = 11 kg First, we divide the force according to their respective plane (x and y thing, correct me if I'm wrong) and according to which, cylinder or the hanging mass, they're working on. Force on the hanging mass $$mg - T = ma$$ Force(Cylinder) on y $$N_f + f_w - Mg = 0$$ Force(Cylinder) on x $$T + f_f - N_w = Ma$$ There's also...
Back
Top