1. [-11 Points] DETAILS SCALCB 5.4.DOT.MI. MY NOTES ASK YOUR TEACHER PR} A force 0f16 lb is required to held a spring stretched 2 in. beyond its natural length. How much work W is done in stretching it from its natural length to 4 in. beyond its natural length? Neee Help? 2. [-11 Points] DETAILS SCALCB 5.4.D1Z.EP. MY NOTES ASK YOUR TEACHER PR} According to Hooke's Law, the force required to hold the spring stretched x m beyond its natural length is given by x) : kx, where k is the spring constant. Suppose that 5.4 J of work is needed to stretch a spring from 10 cm to 16 cm and another 9 J is needed to stretch it from 16 cm to 22 cm. Find the exact value of k, in Him. k = :I We What is the natural length of the spring, in cm? :em 3. [I1 Points] DETAILS SCALCB 5.4.023.MI. MY NOTES A A tank is full of water. Find the work W required to pump the water out of the spout. (Use 9.8 m/s2 for 9. Use 1000 kg/m3 as the weight density of water.) +4m4 3: if JL 5m (9 4. [l1 Points] SCALCB 5.4.030.MI. MY NOTES ASK YOUR TEACHER PRACTICE ANOTHER when gas expands in a cylinder with radius r, the pressure P at any given time is a function of the volume V: P : PW). The force exerted by the gas on the piston (see the gure) is the product of the pressure and the area: F : m'ZP. I piston head @ The work done by the gas when the volume expands from volume V1 to volume V2 is as follows. V2 W=f PdV V1 In a steam engine the pressure and volume of steam satisfy the equation Iii/1'4 : k, where k is a constant. (This is true for adiabatic expansion, that is, expansion in which there is no heat transfer between the cylinder and its surroundings.) Calculate the work done by the engine during a cycle when the steam starts at a pressure of 180 lb/in2 and a volume of 300 in3 and expands to a volume of 1000 in3. (Round your answer to two decimal places.) 5. [11 Points] DETAILS SCALC9 5.4.005. Shown is the graph of a force function (in newtons} that increases to its maximum value and then remains constant. F (N) 32 24 16 x{m) 4 8 12 16 20 24 28 32 How much work W is done (in J) by the force in moving an object a distance of 32 m? MS] 6. [11 Points] SCALCB 5.4.024. ASK YOUR TEACHER PRACTICE ANI A tank is full of water. Find the work (in J) required to pump the water out of the spout. (Use 9.8 mils2 for 9. Use 1,000 kg/m3 as the density of water. Round your answer to the nearest whole number.) 7. [11 Points] DETAILS SCALCB 5.4.025. MY NOTES ASK YOUR TEACHER PRACTI A tank is full of water. Find the work (in ftlb} required to pump the water out of the spout. Use the fact that water weighs 62.5 lbff't3. (Round your answer to the nearest whole number.) _ mi frustum of a cone (D 8. [11 Points] DETAILS SCALES 5.4.026. MY h A tank is full of water. Find the work (in ftilb} required to pump the water out of the spout. Use the fact that water weighs 62.5 lblft3_ 12%