A 3kg block slides along a floor with coefficient of kinetic friction uk = 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?

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11th Edition
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Chapter1: Units, Trigonometry. And Vectors
Section: Chapter Questions
Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...
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A 3kg block slides along a floor with coefficient of kinetic friction k = 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?
Transcribed Image Text:A 3kg block slides along a floor with coefficient of kinetic friction k = 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?
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.)
Transcribed Image Text: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.)
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