Ashopper at the fries’ market place pushes a 13.0-kg shopping cart at a constant velocity for a distance of 58.7 m on a level surface. he pushes in a direction 24.50 below the horizontal. a 53.8 n frictional force opposes the motion of the cart. (a) what is the magnitude of the force that the shopper exerts on the cart? (b) what is the work done by the pushing force? (c) what is the work done by the frictional force? (d) what is the work done by the gravitational force?

The key to stability is feedback between the reservoir and the fluxes into and/or out of the reservoir. assume that the rate of outflow from a reservoir depends on the size of the reservoir according to the following relationship: outflow rate= k x (size of reservoir), where k is a constant. a reservoir of water has a volume of 5000 liters, and the rate of outflow at steady state is 25 liters per minute. what is k? (give both the numerical value and its units.) what is the residence time? what is the relationship between k and the residence time?

The most important difference between a wedge and an inclined plane is a. their size b. their shape c. how they are used d. what they are made of

In a heat engine if 1000 j of heat enters the system the piston does 500 j of work, what is the final internal energy of the system if the initial energy was 2000 j? 1. write the equation 2.list out your known variables 3.plug the numbers into the equations 4.solve 5.write your solution statement that includes initial energy and final