1) A cubic block with density and volume is attached to a wire and held down under water by the wire.
3) Using Newton's Laws and your knowledge of the forces acting, derive an equation for the tension in the wire, T, in terms of the block volume and density, the water density, and the gravitational acceleration.
Let the side length of the block be represented by t, the density of the block, and the water density be represented by ow (1000 kg/m^3). Also, let g = 9.81 m/s^2.
b) Numerically calculate this tension.
The wire suddenly snaps and the block starts rising to the surface.
Using Newton's Laws, derive an equation for the acceleration of the block in water, considering the block density, water density, pe, and gravitational acceleration.
d) If the block started from rest and rose by 50m to reach the surface, use part c) to derive an equation for the final speed when the block reaches the surface.
Numerically calculate this final speed.
After bobbing at the surface for a while, the block settles down to static equilibrium.
0 Using Newton's Laws, derive an equation to calculate the submerged volume of the block as it floats on the surface.
8) After developing an equation, calculate the depth of the block that sits below the surface of the lake.