To practice problem-solving strategy 7.1 problems using mechanical energy i. 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 45∘ 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 30∘ 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 position of a crate sliding down a ramp is given by x=(0.05t^3) m, y=(1.7t^2) m, z=(6−0.85t^5/2) m, where t is in seconds. (a) determine the magnitude of the crate's velocity when t = 2 s. (b) determine the magnitude of the crate's acceleration when t = 2 s.

In automobile steering wheel is shown what is the ideal mechanical advantage blank? if the ama is eight what is the efficiency of the steering wheel?

Arunner is jogging at a steady 3.6 km/hr. when the runner is 2.9 km from the finish line, a bird begins flying from the runner to the finish line at 14.4 km/hr (4 times as fast as the runner). when the bird reaches the finish line, it turns around and flies back to the runner. even though the bird is a dodo, we will assume that it occupies only one point in space, i.e., a zero-length bird. how far does the bird travel? (b) after this first encounter, the bird then turns around and flies from the runner back to the finish line, turns around again and flies back to the runner. the bird repeats the back and forth trips until the runner reaches the finish line. how far does the bird travel from the beginning? (i.e. include the distance traveled to the first encounter)