Tarzan, in one tree, sights jane in another tree. he grabs the end of a vine with length 20 m that makes an angle of 45â with the vertical, steps off his tree limb, and swings down and then up to jane’s open arms. when he arrives, his vine makes an angle of 30â with the vertical. determine whether he gives her a tender embrace or knocks her off her limb by calculating tarzan’s speed just before he reaches jane. you can ignore air resistance and the mass of the vine.

The great sandini is a 60.0-kg circus performer who is shot from a cannon (actually a spring gun). you don’t find many men of his caliber, so you him design a new gun. this new gun has a very large spring with a very small mass and a force constant of 1100 n/m that he will compress with a force of 4400 n. the inside of the gun barrel is coated with teflon, so the average friction force will be only 40.0 n during the 4.00 m he moves in the barrel. at what speed will he emerge from the end of the barrel, 2.50 m above his initial rest position?