A light spring ofconstant k = 91.0 N/m isattached vertically to a table. A 2.03g

Question

A light spring ofconstant k = 91.0 N/m isattached vertically to a table. A 2.03g balloon is filled with helium (density = 0.180 kg/m3)to a volume of 4.99 m3 andis then connected to the spring, causing it to stretch. Determinethe extension distance L when the balloon is inequilibrium.
1 m A light spring ofconstant k = 91.0 N/m isattached vertically to a table. A 2.03g balloon is filled with helium (density = 0.180 kg/m3)to a volume of 4.99 m3 andis then connected to the spring, causing it to stretch. Determinethe extension distance L when the balloon is inequilibrium.
1 m A light spring ofconstant k = 91.0 N/m isattached vertically to a table. A 2.03g balloon is filled with helium (density = 0.180 kg/m3)to a volume of 4.99 m3 andis then connected to the spring, causing it to stretch. Determinethe extension distance L when the balloon is inequilibrium.
1 m A light spring ofconstant k = 91.0 N/m isattached vertically to a table. A 2.03g balloon is filled with helium (density = 0.180 kg/m3)to a volume of 4.99 m3 andis then connected to the spring, causing it to stretch. Determinethe extension distance L when the balloon is inequilibrium.
1 m A light spring ofconstant k = 91.0 N/m isattached vertically to a table. A 2.03g balloon is filled with helium (density = 0.180 kg/m3)to a volume of 4.99 m3 andis then connected to the spring, causing it to stretch. Determinethe extension distance L when the balloon is inequilibrium.
1 m A light spring ofconstant k = 91.0 N/m isattached vertically to a table. A 2.03g balloon is filled with helium (density = 0.180 kg/m3)to a volume of 4.99 m3 andis then connected to the spring, causing it to stretch. Determinethe extension distance L when the balloon is inequilibrium.
1 m A light spring ofconstant k = 91.0 N/m isattached vertically to a table. A 2.03g balloon is filled with helium (density = 0.180 kg/m3)to a volume of 4.99 m3 andis then connected to the spring, causing it to stretch. Determinethe extension distance L when the balloon is inequilibrium.
1 m

Explanation / Answer

Body forces of balloon = mg = .00203kg*9.81m/s^2 Buoyancy forces on balloon = gravity*difference in density*volume =9.81m/s^2 *(1.18kg/m^3-.18kg/m^3)*4.99m^2, where 1.18 is thedensity of air. Spring forces = kL = 91.0N/m * L. Solve for L Note that Spring Forces + Body forces = buoyancy forces. orkL+mg=g*(density difference)*V. hope this helps

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