A charge 5.00 nC is placed at the origin of an xy-coordinate system, and a charge -1.96 nC is placed on the positive x-axis at x = 3.99 cm . A third particle, of charge 5.96 nC is now placed at the point x = 3.99 cm , y = 3.03 cm . A)Find the x-component of the total force exerted on the third charge by the other two.
B)Find the y-component of the total force exerted on the third charge by the other two.
C)Find the magnitude of the total force acting on the third charge.
D)Find the direction of the total force acting on the third charge. Express your answer in radians.

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 the chemical properties of a substance remain unchanged and appearance or shape of a substance changes it is called a ?

Consider a 1000 w iron whose base plate is made of 0.5 cm thick aluminum alloy 2024-t6 (ρ = 2770 kg/m3 and cp = 875 j/kg°c). the base plate has a surface area of 0.03 m2. initially, the iron is in thermal equilibrium with the ambient air at 22°c. assuming 90% of the heat generated in the resistance wires is transferred to the plate, determine the minimum time needed for the plate temperature to reach 200°c.