A 3 m, 250 N/m spring is at the bottom of a 10 m, 20 degree frictionless slope with a 30 m drop off the top of the incline. If a 10 kg wight is placed at the end of the spring when it is compressed 2 m, how fast will the block be traveling just before it hits the ground?

Answer 1

The potential energy stored at the bottom has to equal the final KE

You need to relate the starting position at the end of the spring to the final end of the fall. Work the trig out for the height of the incline, and from that the fall.

PEspring=KEfinal+loss of PEgravity