Two carts are resting in contact with each other initially at rest on a table. The cart on the left has a mass of 3.00 kg, and the cart on the right has a mass of 2.05 kg. There is a compressed spring between the carts that when released pushes the carts apart. Once the spring is released, the cart of the left moves to the left at a speed of 3.25 m/s. How fast to the right will the cart on the right be moving?

v/r =.
m/s

Round your answer to the nearest hundredth if necessary.

Two identical small charged spheres are a certain distance apart, and each one initially experiences an electrostatic force of magnitude f due to the other. with time, charge gradually leaks off of both spheres. when each of the spheres has lost half its initial charge, the magnitude of the electrostatic force will be

A-4.60 μc charge is moving at a constant speed of 6.80×105 m/s in the +x−direction relative to a reference frame. at the instant when the point charge is at the origin, what is the magnetic-field vector it produces at the following points.

Arotating space station is said to create “artificial gravity”—a loosely-defined term used for an acceleration that would be crudely similar to gravity. the outer wall of the rotating space station would become a floor for the astronauts, and centripetal acceleration supplied by the floor would allow astronauts to exercise and maintain muscle and bone strength more naturally than in non-rotating space environments. if the space station is 200 m in diameter, what angular velocity would produce an “artificial gravity” of 9.80 m/s^{2} 2 at the rim?