# Velocity of a block on a slope

by crazy31
Tags: block, slope, velocity
 P: 5 1. The problem statement, all variables and given/known data The block of mass 500 kg is released from rest at the top of the slope It slides down a ramp of angle 20degrees It raises a block weight of 100kg The coefficient of kinetic friction between the 500 kg mass and the ramp is 0.2 2. Relevant equations Determine the velocity of the 100 kg block when it has ascended 5 m 3. The attempt at a solution Hi. Im not very good with maths and physics and i'll freely admit that. I just need somehelp in prodding me in the right direction this is what i did so far and it really doesnt look right acceleration = 9.81 (sin20 - 0.2cos20) (500-100)/1.51 = 264.63m/s (first thing that makes me think im doing the wrong thing) then v squared = 0 + (2*264.63*5) = 51m/s Now even to someone as thick as me that looks completely wrong. So can someone help me out
 HW Helper PF Gold P: 3,443 How did you get the expression for the acceleration? It looks like the acceleration of a single mass sliding down the incline. It seems you did not take into account the 100 kg block.
 P: 5 Here is a pic of the diagram in question That acceleration part was something that i found in some notes for a question that i had done ages ago Attached Thumbnails
 HW Helper PF Gold P: 3,443 Velocity of a block on a slope I cannot see the picture yet. Until I do, ask yourself whether the acceleration that you found in some old notes applies to the same situation as this one. Do you have a description of the old problem with a diagram that matches the picture that you posted?
 P: 5 no i dont unfortunately i dont even have a scanner to scan it into my computer and show you. I did find the diagram that goes with the old equation and it doesnt have a weight to raise up. Thats where my equation has gone wrong (amongst other things i guess)
 HW Helper PF Gold P: 3,443 That's OK. Eventually the picture will show up. Meanwhile, 1. Draw a free body diagram (FBD) for each of the masses. 2. Use the FBDs to write Newton's 2nd Law for each of the masses. This will give you two equations and two unknowns, the common acceleration of the masses and the tension in the string connecting the masses. 3. Eliminate the tension to find the common acceleration.
 P: 5 Ok i'll try and draw a free body diagram Bare with me cos im not that great at this
 HW Helper PF Gold P: 3,443 Take your time, but note that two (not one) FBDs are needed.
 P: 5 Ok here are my FBD's. I dont know if they are right tho unfortunately Attached Thumbnails
 HW Helper PF Gold P: 3,443 I cannot see the FBDs "pending approval."
 P: 312 1. This is a good general picture of a free body diagram: http://www.unm.edu/~caps/caps-handouts/free-body.html 2. I am going to guess what you're free body diagram should be (but am not entirely sure if I interpreted your problem correctly): http://www.jfinternational.com/ph/se...ercises-2.html 3. I think if you read over those two links you will gain more an understanding- in particular, if you skim over the second link that should be sufficient I'd say. Good luck, JL

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