1. In the figure below, a block slides along a smooth surface until it reaches a rough surface of length L = 0.75 m starting at a height h = 2m with an angle of inclination 0 = 300. The coefficient of kinetic friction of the rough surface is 0.4. If the block reaches point B, what is the speed of the block at that point? If it cannot reach point B, what is the height when the block stops? 2. A block with mass m = 2500 gram, slides towards a spring with spring constant k = 320 N/m. When the block stops, the block is able to compress the spring by 7.5 cm. The coefficient of kinetic friction between the block and the floor is 0.25. (a) How much work is done by the block from the moment it contacts the spring until it compresses the spring until it stops, (b) What is the increase in heat energy in the block-floor system, (c) what is the speed of the block just when it comes into contact with the spring? 10000600000 X O3. An ice skier slides down a slope with a height H = 20 m. The glider then ies over the end of the ramp with a glide angle 0 = 30. What is the maximum height h of the skater? 4. A cylindrical rod with radius R1 = 2.5 cm, height h] = 5 cm, emissivity 0.85, and temperature 300 K is placed at an ambient temperature of 323 K (a) What is the rate of temperature transfer by radiation P1 'om the cylinder? (b) If the cylinder is stretched until the radius R2 is twice R1 , with the rate of temperature transfer being P2, what is the ratio P2/P1 ? 5. [The gure below shows the thermal conductivity k1 = 0.06 \"7% k3 = 0.04 W/ggg. and k4 = 0.12 W/%The thickness of the layers is L1 = 1.50 cm, L3 = 2.8 cm, and L4 = 3.50 cm. The known temperatures are T1 = 30C, T12 = 25C, and T4 = -10C. The transfer of energy through the walls is constant. How much is T34