How Does Friction Affect Velocity on an Inclined Plane?

AI Thread Summary
Friction significantly impacts the velocity of a block sliding on an inclined plane, as it opposes the motion. The problem involves a 39 kg block moving at a constant velocity on a frictionless surface before encountering an incline with a coefficient of kinetic friction of 0.39 and an angle of 34.6 degrees. To determine the velocity at the bottom of the incline, one must analyze the forces acting on the block, including the normal force and gravitational force. The relevant equations for calculating changes in velocity involve decomposing forces along and perpendicular to the incline. Understanding these dynamics is crucial for solving the problem effectively.
yankeekd25
Messages
27
Reaction score
0

Homework Statement



A block of mass m = 39 kg is slid over a horizontal frictionless surface at some constant velocity. It then encounters a inclined plane which has a coefficient of kinetic friction of 0.39. The inclination angle for the incline is x = 34.6 degrees and the height of the incline is h = 23.8 meters above its base. If the magnitude of the velocity at the top of incline is 34 m/s for the block, what was the magnitude of its velocity at the bottom of the incline in m/s?

/scratches head

For this one, I really have no idea how to begin. Any help would be really appreciated. Thanks.
 
Physics news on Phys.org
You can reduce this formula to the type of question where mass m and force F are given, and they ask you to calculate a change in velocity (how would you do that in general, forgetting about where the F comes from?).

While the block slides up the ramp, two forces act on it (which ones?). Then what is the F that I mentioned in the first paragraph (hint: decompose in components along and perpendicular to the plane).
 
CompuChip said:
You can reduce this formula to the type of question where mass m and force F are given, and they ask you to calculate a change in velocity (how would you do that in general, forgetting about where the F comes from?).

While the block slides up the ramp, two forces act on it (which ones?). Then what is the F that I mentioned in the first paragraph (hint: decompose in components along and perpendicular to the plane).

To find a change in velocity- Vf2 = Vi2 -2g delta y, or Vf = Vi - gt?

When the block slides up, a normal force and a weight force are being acted upon it right?
 
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