Asolid 0.6350 kg ball rolls without slipping down a track toward a vertical loop of radius r=0.8950 m.

what minimum translational speed vmin must the ball have when it is a height h=1.329 m above the bottom of the loop in order to complete the loop without falling off the track?

assume that the radius of the ball itself is much smaller than the loop radius r. use g=9.810 m/s2 for the acceleration due to gravity.

Distinguish between a transverse wave and a longitudinal wave.

Astudent is performing an experiment comparing sound and light waves. the student gathers the following data. what conclusion does the student most likely make based on this data? light waves always travel the same speed; however, the speed of sound is determined by the medium that it travels through. all sound waves always have the same energy, so the temperature of the medium does not affect wave speed. light needs to vibrate particles, so it travels fastest in tightly packed solids, while sound does not need a medium, so it travels fastest in a gas. tightly packed particles in solids slow down the light waves; however, sound waves make particles bounce into each other, so they travel faster in solids.

Imagine that someone pushes one marble toward a motionless marble. would there still be action-reaction forces involved in the collision? how might the marbles’ motions be changed? ?