An object of mass 20 kg is released at point A, slides to the bottom of the 30° incline, then collides with a horizontal massless spring, compressing it a maximum distance of 0.80 m (see below). The spring constant is 325 N/m, the height of the incline is 2.0 m, and the horizontal surface is frictionles (Due to the nature of this problem, do not use rounded intermediate values in your calculations-including answers submitted in WebAssign.) 2.0 m (a) What is the speed of the object (in m/s) at the bottom of the incline? m/s (b) What is the work of friction (in ) on the object while it is on the incline? (c) The spring recoils and sends the object back toward the incline. What is the speed of the object (in m/s) when it reaches the base of the incline? m/s (d) What vertical distance (in m) does it move back up the incline?

During spring semester at MIT, residents of the parallel buildings of the East Campus dorms battle one another with large catapults that are made with surgical hose mounted on a window frame. A balloon filled with dyed water is placed in a pouch attached to the hose, which is then stretched through the width of the room. Assume that the stretching of the hose obeys Hooke's law with a spring constant of 130 N/m. If the hose is stretched by 5.30 m and then released, how much work does the force from the hose do on the balloon in the pouch by the time the hose reaches its relaxed length?