An object released from rest slides down a frictionless ramp that makes an angle 0j of 60.0° with the horizontal. The object begins at a height Hj of 12.0 m above the base of the ramp. The bottom end of the ramp merges smoothly with a H second frictionless ramp that rises at angle 02 of 39.0°. H2 What distance d does the object slide along the second ramp before coming to a momentary stop? d = m When the object is on its way back down the second ramp, what is its speed vr at the moment that it is at a height H2 of 7.00 m above the base of the ramp? Uf = m/s

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 thework 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…

In the figure, a 3.7 kg block slides along a track from one level to a higher level after passing through an intermediate valley. The track is frictionless until the block reaches the higher level. There a frictional force stops the block in a distance d. The block's initial speed is vo = 6.5 m/s, the height difference is h = 1.2 m, and u = 0.606. Find d. Vo Number i Units

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