#### (Solved): 9. A Block Of M=2.5 Kg Is Released From Rest At A Height Of H = 0.75 M From The Top Of A Table At Th ...

9. A block of m=2.5 kg is released from rest at a height of h = 0.75 m from the top of a table at the top of a 25° incline. The block and the incline have a coefficient of kinetic friction of 0.150. The bottom of the incline is at the edge of the table so the mass will fall off the table and land on the ground H=1.5 m below the top of the table. a) Determine the magnitude of the velocity of the block as it gets to the bottom of the incline and b) determine the how far horizontally from the table will the block hit the ground. (Note: Use the incline coordinates for part a, then switch back to normal Cartesian coordinates for part b). (3.15 m/s, 1.23 m) 10. Roller Coaster Designers want to create a 40 m diameter loop for their next coaster. For safety reasons, the centripetal acceleration at the top of the loop must be 2g's (two time the acceleration due gravity) for the coaster. Determine the speed the coaster must be traveling at the top of the loop. (19.8 m/s)