"A spring is suspended above a tank of water with its lower end in the water. An object with a mass of 0.35 kg is attached to the bottom of the spring, causing it to stretch 0.013 meters (the object is fully immersed in water). The spring has a spring constant of 200 N/m. Find the density of the object."

I know the restoring force of the spring is 2.6 N, so the applied force of the object on the spring is -2.6 N. I know the formula for density is ρ = m/v, and I know the formula for buoyancy is Fb = (volume of submerged object)(density of fluid)(force of gravity).

Question

"A spring is suspended above a tank of water with its lower end in the water. An object with a mass of 0.35 kg is attached to the bottom of the spring, causing it to stretch 0.013 meters (the object is fully immersed in water). The spring has a spring constant of 200 N/m. Find the density of the object."

I know the restoring force of the spring is 2.6 N, so the applied force of the object on the spring is -2.6 N. I know the formula for density is ρ = m/v, and I know the formula for buoyancy is Fb = (volume of submerged object)(density of fluid)(force of gravity).

anonymous · Answer

I'm not sure how to proceed from here. If someone could walk me through it, I'd really appreciate it.