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A 3kg block slides along a floor with coefficient of kinetic friction lk = 0.3, initially moving at 7.0m/s. It travels for 2.0 meters, then encounters a ramp sloped upward at 40°. The ramp also has a coefficient of kinetic friction lk = 0.3. How fast is the block moving when it reaches the bottom of the ramp? How far up the ramp does the block slide, before momentarily coming to rest? 1) Draw a pictorial representation of the problem. 2) Choose a two coordinate systems, one for the flat surface part of the problem, one for the ramp part of the problem. 3) List given information as consistent with your chosen coordinates. Be sure to choose variable names that are not ambiguous (for example, do not use v, for final velocity in both parts. Perhaps name them v, and v, instead.) 4) For each part of the problem, identify all the forces acting on the block, and draw a free body diagram. 5) Instead of using a Newton's 2nd Law equation, write out the Work Energy Theorem for each part of the problem (that is the AK = W1 + W2 + .. equation.) For both parts of the problem, find the work done by each force on the block and place them on the right-hand side of the equation. (In the ramp part, the magnitude of displacement is unknown, so just leave it as a variable.) 6) Solve for the final velocity in the first part of the problem, then solve for the displacement in the second part of the problem, using the Work equations you built in the step 5. 7) Comment briefly on whether your result is reasonably believable. If it is – what sort of result could be easily identified as not believable for this problem?

A 3kg block slides along a floor with coefficient of kinetic friction lk = 0.3, initially moving at 7.0m/s. It travels for 2.0 meters, then encounters a ramp sloped upward at 40°. The ramp also has a coefficient of kinetic friction lk = 0.3. How fast is the block moving when it reaches the bottom of the ramp? How far up the ramp does the block slide, before momentarily coming to rest? 1) Draw a pictorial representation of the problem. 2) Choose a two coordinate systems, one for the flat surface part of the problem, one for the ramp part of the problem. 3) List given information as consistent with your chosen coordinates. Be sure to choose variable names that are not ambiguous (for example, do not use v, for final velocity in both parts. Perhaps name them v, and v, instead.) 4) For each part of the problem, identify all the forces acting on the block, and draw a free body diagram. 5) Instead of using a Newton's 2nd Law equation, write out the Work Energy Theorem for each part of the problem (that is the AK = W1 + W2 + .. equation.) For both parts of the problem, find the work done by each force on the block and place them on the right-hand side of the equation. (In the ramp part, the magnitude of displacement is unknown, so just leave it as a variable.) 6) Solve for the final velocity in the first part of the problem, then solve for the displacement in the second part of the problem, using the Work equations you built in the step 5. 7) Comment briefly on whether your result is reasonably believable. If it is – what sort of result could be easily identified as not believable for this problem?

Principles of Physics: A Calculus-Based Text
Principles of Physics: A Calculus-Based Text
5th Edition
ISBN:9781133104261
Author:Raymond A. Serway, John W. Jewett
Publisher:Raymond A. Serway, John W. Jewett
Chapter6: Energy Of A System
Section: Chapter Questions
Problem 45P
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needing help with 6 and 7 only. here are the answers from the previous parts:

 

1-4) all pictures are drawn

5)triangle k'=w'=2.17m

 

newtons 2nd law of motion for flat block: a=-2.94m/s2

flat block final velocity: 6.1m/s

flat block frictional force=8.82N

 

newtons 2nd law of motion for ramp block: -8.85m/s2

ramp block final velocity: 2.1m

ramp block frictional force-6.76N

A 3kg block slides along a floor with coefficient of kinetic friction lk = 0.3, initially moving at 7.0m/s. It travels for 2.0 meters, then encounters a ramp sloped upward at 40°. The ramp also has a coefficient of kinetic friction lk = 0.3. How fast is the block moving when it reaches the bottom of the ramp? How far up the ramp does the block slide, before momentarily coming to rest? 1) Draw a pictorial representation of the problem. 2) Choose a two coordinate systems, one for the flat surface part of the problem, one for the ramp part of the problem. 3) List given information as consistent with your chosen coordinates. Be sure to choose variable names that are not ambiguous (for example, do not use v, for final velocity in both parts. Perhaps name them va and v, instead.) 4) For each part of the problem, identify all the forces acting on the block, and draw a free body diagram. 5) Instead of using a Newton's 2nd Law equation, write out the Work Energy Theorem for each part of the problem (that is the AK = W1 + W2 + . equation.) For both parts of the problem, find the work done by each force on the block and place them on the right-hand side of the equation. (In the ramp part, the magnitude of displacement is unknown, so just leave it as a variable.) 6) Solve for the final velocity in the first part of the problem, then solve for the displacement in the second part of the problem, using the Work equations you built in the step 5. 7) Comment briefly on whether your result is reasonably believable. If it is – what sort of result could be easily identified as not believable for this problem?
Transcribed Image Text:A 3kg block slides along a floor with coefficient of kinetic friction lk = 0.3, initially moving at 7.0m/s. It travels for 2.0 meters, then encounters a ramp sloped upward at 40°. The ramp also has a coefficient of kinetic friction lk = 0.3. How fast is the block moving when it reaches the bottom of the ramp? How far up the ramp does the block slide, before momentarily coming to rest? 1) Draw a pictorial representation of the problem. 2) Choose a two coordinate systems, one for the flat surface part of the problem, one for the ramp part of the problem. 3) List given information as consistent with your chosen coordinates. Be sure to choose variable names that are not ambiguous (for example, do not use v, for final velocity in both parts. Perhaps name them va and v, instead.) 4) For each part of the problem, identify all the forces acting on the block, and draw a free body diagram. 5) Instead of using a Newton's 2nd Law equation, write out the Work Energy Theorem for each part of the problem (that is the AK = W1 + W2 + . equation.) For both parts of the problem, find the work done by each force on the block and place them on the right-hand side of the equation. (In the ramp part, the magnitude of displacement is unknown, so just leave it as a variable.) 6) Solve for the final velocity in the first part of the problem, then solve for the displacement in the second part of the problem, using the Work equations you built in the step 5. 7) Comment briefly on whether your result is reasonably believable. If it is – what sort of result could be easily identified as not believable for this problem?
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