please show all your work for all parts thank you 7. An ideal massless spring wi

Question

please show all your work for all parts

thank you

7. An ideal massless spring with a force constant k 200 N/m is attached to the bottom of a large beaker which is then filled with water, A block of wood with a mass of 4.00 kg and a density of 600 k is connected to the spring and the block spring system comes to equilibrium. (a) Drsw a free-body diagram for the block of wood. Please label all the forces on vour free-body diagram. (b) Calculate the extension of the spring, (e) You use a syringe to remowo all of the fluid from tho beaker, leaving the block attached to the spring. Does the extension of spring increase, decrease remain (d) You now ald to the beaker a mew fluid with a densaty of 2000 kg/m3. The amount of fuid cient to cover the block completely How does the exteasion of the spring compare to the extension in water? Is it grester than, less than or unchanged? Please explain.

Explanation / Answer

density = mass / volume

600 = 4 / volume

volume = 0.0066667 m^3

mass of 0.0066667 m^3 of water = 1000 * 0.0066667

mass of 0.0066667 m^3 of water = 6.6667 kg

weight = 6.6667 * 9.8

weight = 65.33366 N

weight of water displaced = buoyant force

spring force = buoyant force

kx = 65.33366

200 * x = 65.33366

x = 0.3266 m

extension of the string = 0.3266 m

if all the water is removed then

200 * x = 4 * 9.8

x = 0.196 m

so the extension will decrease

if fluid with density 2000 kg/m^3 will be added the wight of the displaced fluid will be more so the buoyant force will also be more haence the extension of the spring will increase

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