How Does Friction and Incline Angle Affect a Sliding Box's Motion?

AI Thread Summary
The discussion focuses on calculating the motion of a sliding box with an initial speed of 10 m/s on a flat surface before it ascends an incline. Key calculations involve determining the box's speed at the end of the flat section and the distance it travels up the incline before stopping, using parameters like a friction coefficient of 0.1 and an incline angle of 40 degrees. Participants emphasize the importance of using the force of friction to calculate acceleration and applying kinematic equations for motion analysis. The mass of the box is irrelevant as it cancels out in the equations. Understanding these principles is crucial for solving the problem effectively.
blazeuofa
Messages
14
Reaction score
0

Homework Statement


A box has an intial speed of 10 m/s. It slide across a flat section and then up an incline. Use L=20m, \muk=.1, and \theta= 40 degrees. Note that I have not given you the mass. It will cancel out of all the equations in the end.

a. Determine the speed of the box at the end of the flat section
b. Determine the distance D it slides up the incline before coming to a complete stop.


Homework Equations





The Attempt at a Solution





What are the equations I would start with to begin this problem?
 
Physics news on Phys.org
Do you have a formula for calculating the force of friction?
This force causes the box to accelerate - you'll need the formula for that.
And accelerated motion formulas to find the speed.
 

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...
View full post »
Thread 'Collision of a bullet on a rod-string system: query'

Thread 'Collision of a bullet on a rod-string system: query'

In this question, I have a question. I am NOT trying to solve it, but it is just a conceptual question. Consider the point on the rod, which connects the string and the rod. My question: just before and after the collision, is ANGULAR momentum CONSERVED about this point? Lets call the point which connects the string and rod as P. Why am I asking this? : it is clear from the scenario that the point of concern, which connects the string and the rod, moves in a circular path due to the string...
View full post »
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...
View full post »

Similar threads

Need to calculate work -- Lifting and then sliding a box....
Replies
4
Views
1K
Will a sliding box fall over when it stops?
Replies
37
Views
6K
Work and energy of an object on a ice slope
Replies
7
Views
1K
Variable friction on an inclined plane and maximum velocity
Replies
33
Views
3K
Forces and Motion - Sliding a Box Up an Inclined Plane w/ Friction
Replies
10
Views
7K
Does coefficient of kinetic friction depend on speed?
Replies
16
Views
5K
Distance of box pushed up incline by spring
Replies
1
Views
3K
Calculating acceleration from the coefficient of kinetic friction
Replies
48
Views
8K
What is the displacement of a 3.0 kg block sliding down an inclined plane?
Replies
12
Views
2K
Given a uniform chain on an incline, find the work done by friction
Replies
8
Views
2K

Hot Threads

Recent Insights

Back
Top