Which combination of a wire coil and a core would make the strongest electromagnet?

A. 200 coils of bare wire around a hollow cardboard core

B. 200 coils of insulated wire around a steel bolt

C. 50 coils of insulated wire around a hollow cardboard core

D. 50 coils of bare wire around a steel bolt

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.

If a hiker that weighs 600 newtons climbs a 50 meter hill, how much gravitational potential energy has the hiker gained?

Which type of reaction is shown in this energy diagram ?