A store clerk pulls three loaded shopping carts connected with two horizontal cords to help customers load their carts. Cart 1 has a mass of 9.1 kg, cart 2 has a mass of 12 kg, and cart 3 has a mass of 8.7 kg. Assume friction is negligible. A third cord, which pulls on cart 1 and is at an angle of 23 degrees above the horizontal, has a tension of magnitude 29 N. a) Find the magnitude of the acceleration of the carts.
b) Find the magnitude of the tension in the cord between m3 and m2.
c) Find the magnitude of tension in the cord between m2 and m1.

An electromagnet is a device in which moving electric chargers in a coil of wire create a magnet.whats one advantage of using electromagnetic in devices

Amoving company collects data about couches they move and displays the data in a table. the force along the ramp, the angle of the ramp, and the height the couch is raised to are shown. which statements correctly compare the work done to move the couches? check all that apply. the same amount of work is done for couches 1 and 3. the same amount of work is done for couches 2 and 3. the work for couch 1 is greater than the work for couch 2. the work for couch 2 is less than the work for couch 3. the work for couch 3 is greater than the work for couch 1. the work for couch 2 is greater than the work for couch 1.

Suppose that f : rn → rm and that a ∈ k, where k is a connected subset of rn . suppose further that for each x ∈ k there exists a δx > 0 such that f(x) = f(y) for all y ∈ bδx (x). prove that f is constant on k; that is, f(x) = f(a) for all x ∈ k