Aspherical marble that has a mass of 50.0 g and a radius of 0.500 cm rolls without slipping down a loop-the-loop track that has a radius of 20.0 cm. the marble starts from rest and just barely clears the loop to emerge on the other side of the track. what is the minimum height that the marble must start from to make it around the loop?

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:

Assume similar data for the motion of the blood in your aorta. estimate how many beats of the heart it will take the blood to get from your heart to your brain. (assume that the distance from your heart to your brain is 30 cm)

Because light travels in a straight line and casts a shadow, isaac newton hypothesized that light is