In a classic carnival ride, patrons stand against the wall in a cylindrically shaped room. once the room gets spinning fast enough, the floor drops from the bottom of the room! friction between the walls of the room and the people on the ride make them the "stick" to the wall so they do not slide down. in one ride, the radius of the cylindrical room is r = 7.4 m and the room spins with a frequency of 21.1 revolutions per minute. 1) what is the speed of a person "stuck" to the wall?

•• al and bert are jogging side-by-side on a trail in the woods at a speed of 0.75 m/s. suddenly al sees the end of the trail 35 m ahead and decides to speed up to reach it. he accelerates at a constant rate of 0.50 m/s2, while bert continues on at a constant speed. (a) how long does it take al to reach the end of the trail? (b) once he reaches the end of the trail, he immediately turns around and heads back along the trail with a constant speed of 0.85 m/s. how long does it take him to meet up with bert? (c) how far are they from the end of the trail when they meet?

An object in mechanical equilibrium is an object

Aplayground slide is 8.80 ft long and makes an angle of 25.0° with the horizontal. a 63.0-kg child, initially at the top, slides all the way down to the bottom of the slide. (a) choosing the bottom of the slide as the reference configuration, what is the system's potential energy when the child is at the top and at the bottom of the slide? what is the change in potential energy as the child slides from the top to the bottom of the slide? (include the sign of the value in your answer.)