Amerry-go-round with a a radius of r = 1.99 m and moment of inertia i = 194 kg-m2 is spinning with an initial angular speed of ω = 1.47 rad/s in the counter clockwise direection when viewed from above. a person with mass m = 68 kg and velocity v = 4.9 m/s runs on a path tangent to the merry-go-round. once at the merry-go-round the person jumps on and holds on to the rim of the merry-go-round.

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 89.0 n/m. if the hose is stretched by 5.80 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? unitst 3 number-1497 the tolerance is +/-5% open show work click if you would like to show work for this question:

Which describes increasing the efficiency of energy resource

A6.0-kilogram cart initially traveling at 4.0 meters per second east accelerates uniformly at 0.50 meter per second squared east for 3.0 seconds. what is the speed of the cart at the end of this 3.0 second interval? (1) 1.5 m/s (3) 3.0 m/s (2) 5.5 m/s (4) 7.0 m/s