At an unregulated theme park, your 70 kg friend goes down a frictionless slide of height 10 m, and then they are stopped at the bottom by a horizontal spring with a spring constant of 200 N/m

a. If your friend launches themselves with an initial speed of 1 m/s down the slide, how far is the spring compressed once your friend comes to rest?

b. Your definitely still alive friend is then launched back up the slide by the compressed spring, but, out of fear, they try to stop themselves by grabbing onto the rough slide edge. If friction does -3000 J of work on your friend after being launched, what is the height your friend reaches up the slide once coming to rest?