The diagram above shows a load that will be lifted using a lever. The distance from the tip of the fulcrum to the end of the board carrying the load is 5 m. The entire length of the board is 15 m. The end of the board where force will be applied is 3 m off the ground. How much work will be done if the load is raised as high as the lever can raise it, and the force used is 500 N? A. 497 N·m B. 1,500 N·m C. 167 N·m D. 3 N·m

An uplifted block of rock between two normal faults

Aparticle of mass m is projected with an initial velocity v0 in a direction making an angle α with the horizontal level ground as shown in the figure. the motion of the particle occurs under a uniform gravitational field g pointing downward. (a) write down the lagrangian of the system by using the cartesian coordinates (x, y). (b) is there any cyclic coordinate(s). if so, interpret it (them) physically. (c) find the euler-lagrange equations. find at least one constant of motion. (d) solve the differential equation in part (c) and obtain x and y coordinates of the projectile as a function of time. (e) construct the hamiltonian of the system, h, and write down the hamilton’s equations (canonical equations) of motion.

Aboat radioed a distress call to a coast guard station. at the time of the call, a vector a from the station to the boat had a magnitude of 45.0 km and was directed 15.0° east of north. a vector from the station to the point where the boat was later found is = 30.0 km, 15.0° north of east. what are the components of the vector from the point where the distress call was made to point where the boat was found? in other words, what are the components of vector c = b - a?