How far does the truck travel in this time?

AI Thread Summary
The discussion revolves around a physics problem involving a box on a truck that accelerates after stopping. Participants are asked to calculate the time it takes for the box to fall off the truck and the distance the truck travels during that time. Key factors include the mass of the box and the coefficients of friction between the box and the truck's floor. The conversation emphasizes the importance of understanding the forces at play and the equations of motion involved. Participants are encouraged to share their approaches to solving the problem for better clarity and assistance.
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Losing Cargo. A box of mass rests on the flat floor of a truck. The coefficients of friction between the box and floor are and . The truck stops at a stop sign and then starts to move with an acceleration of a

a) if the box is a distance x from the rear of truck starts, how much time elapses before the box falls off the truck?

b) how far does the truck travel in this time?
 
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https://www.physicsforums.com/showthread.php?t=94379
 
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...
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