Static and Kinetic Friction: Analyzing a Block's Movement on a Horizontal Table

AI Thread Summary
To determine if the block will move, the applied force of 48 N must be compared to the maximum static friction force, calculated using the coefficient of static friction (0.650) and the normal force (30.0 N). The maximum static friction force is 19.5 N, which is less than the applied force, indicating the block will move. Once the block starts moving, kinetic friction applies, calculated with the coefficient of kinetic friction (0.420), resulting in a kinetic friction force of 12.6 N. The net force acting on the block can then be determined by subtracting the kinetic friction force from the applied force, allowing for the calculation of the block's acceleration. Understanding the transition from static to kinetic friction is crucial for solving the problem effectively.
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Homework Statement


A block whose weight is 30.0 N rests on a horizontal table. A horizontal force of 48 N is applied to the block. The coefficients of static and kinetic friction are 0.650 and 0.420 N, respectively. Will the block move under the influence of the force, and, if so, what will be the block's acceleration?

Homework Equations



force of static friction = mu x normal force = ma
force of kinetic friction = mu of k x normal force


The Attempt at a Solution




i understand how to use both the static and kinetic frictions...but how do i connect the two to answer this question?
 
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You must know SOMETHING about how to set this problem up. How would the applied force have to relate to static friction force if the block started to move?
 
Last edited:
Draw the forces acting on the block, when it is pushed and try getting your equations from there.
 

Thread 'Errors and significant figures'

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...
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Thread 'A cylinder connected to a hanging mass'

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...
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