1. A block slides down a frictionless inclined ramp. If the ramp angle is 17.0° and the length of it is 30.0 m, find the speed of the block as it reaches the end of the ramp, assuming it started sliding from rest at the top.
2. In the figure, two boxes, each of mass 24 kg, are at rest and connected as shown. The coefficient of kinetic friction between the inclined surface and the box is 0.31. Find the speed of the boxes just after they have moved 1.6 m.
3. A block of mass m = 2.0 kg is dropped from height h = 40 cm onto a spring constant k = 1960 N/m. Find the maximum distance the spring is compressed.
4. A 60 kg skier starts from rest at height H = 20 m above the end of a ski-jump ramp and leaves the ramp at angle θ = 28°. Neglect the effects of air resistance and assume the ramp is frictionless. A) What is the maximum height h of his jump above the end of a ramp? B)If he increased his weight by putting on a backpack, would h then be greater, less or the same?
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