How can the final speed of books sliding on a ramp be calculated?

AI Thread Summary
To calculate the final speed of a box of textbooks sliding down a ramp, one can use the formula v² = vo² + 2ax, where 'a' is the acceleration, 'x' is the distance traveled, and 'vo' is the initial velocity. Given the mass of the textbooks is 24.4 kg, the ramp angle is 19.8 degrees, and the acceleration is 1.2 m/s², the distance traveled is 5.20 m. By substituting these values into the equation, the final speed can be determined. The coefficient of kinetic friction is 0.230, which influences the acceleration but is already accounted for in the provided acceleration value. This method provides a straightforward approach to calculating the final speed of the textbooks on the ramp.
huh
Messages
15
Reaction score
0
A box of textbooks of mass 24.4 rests on a loading ramp that makes an angle a with the horizontal. The coefficient of kinetic friction is 0.230 and the coefficient of static friction is 0.360 . I figured out that the angle is 19.8 and acceleration is 1.2m/s^2. I would like to know how to figure out the speed after it's slid 5.20 m.
 
Physics news on Phys.org
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