Aplane comes out of a power dive, turning upward in a curve whose center of curvature is 1300 m above the plane. the plane's speed is 260 m/s.

a. calculate the upward force of the seat cushion on the 100 kg pilot of the plane.

b. calculate the upward force on a 90.0 g sample of blood in the pilot's head.

Industrial processes often require the damping of vibrations. consider a workbench that uses four large ideal springs in place of traditional legs, with each spring supporting one corner of the workbench and exhibiting a force constant of 47500 n/m. this workbench is used when creating products that involve highly unstable chemicals. according to specifications, the acceleration of the manufacturing equipment must be held to less than 22.3 m/s2 for the manufacturing process to proceed safely. the amplitude of vibrations are expected to remain under 0.622 mm throughout. given that the workbench and maufacturing equipment combine to 6.05 kg, find the maximum acceleration expected of the equipment and workbench. (ignore the mass of the springs.)