A 3kg block slides along a floor with coefficient of kinetic friction μk=0.3, initially moving at 7.0m/s. It travels for 2.0 meters, then encounters a ramp sloped upward at 40 degrees. The ramp also has a coefficient of kinetic friction μk=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?
A 3kg block slides along a floor with coefficient of kinetic friction μk=0.3, initially moving at 7.0m/s. It travels for 2.0 meters, then encounters a ramp sloped upward at 40 degrees. The ramp also has a coefficient of kinetic friction μk=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?
a.) For each part of the problem, identify all the forces acting on the block, and draw a free body diagram.
b.) Instead of using a Newton’s 2nd Law equation, write out the Work Energy Theorem for each part of the problem (that is the ΔK = 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.)
c.) 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 part b.
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