Calculating Velocity of Sliding Toolbox on a Slanted Roof

  • Thread starter Thread starter kgianqu2
  • Start date Start date
  • Tags Tags
    Velocity
AI Thread Summary
To calculate the velocity of the toolbox sliding down the roof, the correct acceleration must be determined by considering the forces acting on it. The gravitational force component acting down the slope and the frictional force must be calculated to find the net force. Using Newton's second law, the acceleration can be derived, and then the kinematic equation can be applied to find the final velocity. The user is struggling with the calculations, having obtained two different acceleration values, and seeks clarification on the correct method. Accurate calculations will lead to the correct velocity of the toolbox as it reaches the edge of the roof.
kgianqu2
Messages
16
Reaction score
0
While a roofer is working on a roof that slants at 44.0 degrees above the horizontal, he accidentally nudges his 88.0 N toolbox, causing it to start sliding downward, starting from rest. If it starts 4.15 m from the lower edge of the roof, how fast will the toolbox be moving just as it reaches the edge of the roof if the kinetic friction force on it is 21.0 N?


To get the velocity I must do 2*a*4.15 (and then take the square root of the answer). I think the problem I am having is getting the correct acceleration. I have gotten 5.18 and 2.56. Both have gotten me nowhere. I really don't know what else to do, please help.
 
Physics news on Phys.org
Does this make sense?
 

Attachments

  • roof191.jpg
    roof191.jpg
    16.4 KB · Views: 658
kgianqu2 said:
I have gotten 5.18 and 2.56.
Please show your working.
 
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 '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...
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