The potential energy U in Joule of a particle of mass is 4kg moving in the x-y plane is given by the formula U = 6x + 8y + 5. Here x and y are coordinates of the particle in meter. The particle is at (3,5) at t = 0 and v 0 = 0. i and jare the unit vectors across x and y axis respectively.

Please leave the answer in terms of ρ, g, and possibly π. A 40 m long chain hangs freely from a ledge. Suppose the chain has a total mass of 800 kg. How much work is required to pull the entire chain up to the top of the ledge?

Chapter 13, Problem 037 GO The three spheres in the figure, with masses ma = 73 g, mg = 8 g, and mc = 20 g, have their centers on a common line, with L = 20 cm and d = 4 cm. You move sphere B along the line until its center-to-center separation from C is d = 4 cm. How much work is done on sphere B(a) by you and (b) by the net gravitational force on B due to spheres A and C? B (a) Number Units (b) Number Units Click if you would like to Show Work for this question: Open Show Work Question Attempts: 0 of 10 used SAVE FOR LATER SUBMIT ANSWER

One vector has magnitude 18 units and another 5.5 units. Find their scalar product if the angle between them is 25 degrees, and then if the angle between them is 82 degrees.