You are in charge of the evacuation and repair of a storage tank shaped like a horizontal circular cylinder and buried 4 meters underground. The length of the cylinder is 5 meters and the radius is 2 meters. The storage tank is full of benzene (density 876 kg/m3 ). A firm you contracted says it can empty the tank for 15 cents per Joule of work. Find the work required to empty the tank by pumping the benzene to an outlet 4 meters above the top of the tank. If you have $150, 000 budgeted for the job, can you afford to hire the firm? Calculate the total work as an integral.

You are driving directly behind a pickup truck, going at the same speed as the truck. a crate falls from the bed of the truck to the road. (a) will your car hit the crate before the crate hits the road if you neither brake nor swerve? (b) during the fall, is the horizontal speed of the crate more than, less than, or the same as that of the truck?

Two manned satellites approaching one another at a relative speed of 0.550 m/s intend to dock. the first has a mass of 2.50 ✕ 103 kg, and the second a mass of 7.50 ✕ 103 kg. assume that the positive direction is directed from the second satellite towards the first satellite. (a) calculate the final velocity after docking, in the frame of reference in which the first satellite was originally at rest.(b) what is the loss of kinetic energy in this inelastic collision? (c) repeat both parts, in the frame of reference in which the second satellite was originally at rest. final velocity(d) loss of kinetic energy = ?

Both speed and velocity measure how fast something is moving. however, since speed is not a it does not require a(n question 6 options: a) quantity , unit b) magnitude, unit c) scalar, direction d) vector, direction