Hunting Safety Rope
PHYSICS QUESTION! NEED help~~~?
1. Robin Hood, on a hunting trip, shoots a 500 gram arrow at a 2 kg eagle perched on a tall tree. The arrow is launched from ground level at an angle of 30° above the horizon with a speed of 40 m/s. It is traveling horizontally when it strikes the eagle and remains embedded in the bird. The eagle slips off of the tree. How far from the base of the tree does the body of the eagle land?
2. Batman is hanging on the end of a Bat-rope, of length R, at a point above a busy Gotham street. He must reach a point to gain safety on a nearby roof. This occurs when his rope makes an angle of 45° with the vertical. Helpful Robin fires a cannon ball, which strikes the caped crusader and lodges in his Bat utility belt. Given the following data, calculate the minimum speed of the cannon ball necessary to allow Batman to reach safety.
Length of Bat-rope is 50 m.
Mass of Batman is 99 kg.
Mass of cannon ball is 1 kg.
1.
Time to reach the height is given by
t = {u sin θ} / g.
Horizontal distance traveled by the bird is
u cos θ * t = u cos θ * {u sin θ} / g.
= u^2 sin 2 θ / 2g = 40^2 sin 2*30 / 2*9.8 = 70.7 m
2.
v = √ (2gH) where H = R – R cos 45 = 16.94m/s
Hunter Safety System - Tree Stand Life - Line & Rope-Style Tree Strap
