-A smug little kitten pounces about on the top of a skyscraper.In his excessive confidence, he slips and tumbles over the edge.Don't worry...he manages to cling to a pipe that extends outhorizontally from the top of the building and is safe...for now.(Use g=9.80 m/s^2 for the acceleration of gravity for the entireproblem.) If kitten has a mass of (m1=2.9 kg) and hangs at restfrom the pipe, with what magnitude of force must he cling to thepipe to prevent from falling?

-A child looks out his window and sees the cat hanging from thepipe above, so she decides to act. The child opens the window andflings a lasso at the cat, successfully ensnaring his tail with therope. If the cat's tail is located (x=1.59 m) from the wall (in thehorizontal direction) and (y=3.67 m) from the window (in thevertical direction), what angle does the rope make with the wall?(Give your answer to 3 sig figs. and give the angle in units ofdegrees [deg]

-Seeing that she has snagged the cat by the tail, she attemptsto pull the cat free from the pipe by pulling the rope with aconstant force of (F1=26.8 N). What is the magnitude of the upwardforce that kitten must apply to the pipe to keep from falling?(Give your answer to 3 sig figs.)

-What is the magnitude of the horizontal force that kitten mustapply to the pipe to keep from falling? (Give your answer to 3 sigfigs.)

-Finally, the rope snaps, disorienting kitten. This causes himto lose his grip, plummeting to the ground below (don't worry...Iwon't let him die). At this very moment, a group of physicsstudents who have been analzing the situation from directly below,band together to construct a large, pillowy pile of trash bags froma nearby dumpster for the cat to land on. Assuming kitten fallsfrom rest, how fast is he going when he arrives at the cozy trashbag landing pad (h=80.7 m) below? (Give your answer to 3 sigfigs.)