A skateboarder (whose mass is 57kg) is moving at 3.7m/s at thetop of a 5.1m ramp. Without pushing on the ground, she rolls downto the bottom of the ramp and up the next ramp which is 2.4m tall.There is an effective friction force equal to her weight andit is 3.1m from crest to crest along the surface of theramps.
(1) what speed will she be going when she crests the secondramp?
(2) How high would the second ramp have to be in order for herto stall exactly on top of the ramp?
A block of mass 5.1kg has a velocity of 4.5m/s at a distance0.47m before it hits a spring at its equilibrium length with aspring constant of 482 N/m.
(3) Assuming no friction, how far does the springcompress?
(4) If the surface has a coefficient of friction ofμ=0.15, how far does the spring compress?