Abraham uses a lever to try to lift a huge rock. The rock weighs 2000 N, and Abraham is able to lift the rock using a force of 220 N. The fulcrum is 5 ft from Abraham. The rock is 0.5 feet from the fulcrum. What is the effort distance?

Jackson is designing a new heater, and he wants to experiment with different thermally conductive materials. which of these materials would be useful in conducting heat?

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.

Explain earth's motion, using the terms "precession" and "rotation" in your answer.