Tarzan, in one tree, sights Jane in another tree. He grabs the end of a vine with length 13 pm] that makes an angle of 55° 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. Ignore air resistance and the mass of the vine.

7) A bob attached to a cord is moved to the right where its vertical position is 1.05 cm above the equilibrium position and is then given an initial speed of 0.6 m/s. What are the values of the maximum speed and maximum height reached by the bob? (Take g = 9.8 m/s*) (a) hamax = 1.87 cm; Vmax = 3.44 m/s (b)hman (c) haman = 1.87 cm; Vmax = 0.75 m/s (d)hmax = 2.89 cm; vmax = 3.44 m/s = 2.89 cm; Vmas = 0.75 m/s %3D

An athlete jumping vertically on a trampoline leaves the surface with a velocity of 8.5m/s upward. What maximum height does she reach? (a) 13 in (b) 2.3 m (c) 3.7 in (d)0.27 in (e) The answer can’t be deter-mined because the mass of the athlete isn’t given.

Tarzan plans to cross a gorge by swinging in an arc from a hanging vine. If his arms are capable of exerting a force of 1400 N on the rope, what is the maximum speed he can tolerate at the lowest point of his swing? His mass is 80kg and the vine is 4.8m long.

6) Z. A thin non-condu cting rod of ma ss m and length L = 60cm, slides frictionl essly at a constant speed V = 0.5 m/s along the rails placed on the surface and at the edges of an inclined plane with the effect of an external force. The rails at the edges of the inclined plane are connected with each other via the rail at the bottom edge of the plane, so the rod and rails forms a rectangular closed loop as seen in the figure. The plane of the rails makes an angle 0 = 55° with the horizontal plane (xz plane). Before sliding, the rod stays at the di stan ce S = 4m measured from the bottom edge of the inclined plane. The inclined plane and the rod are under the effect of a uniform magnetic field given by B = 0.40î + 3ĵ + 0.8k(T). After the rod starts to slide, what will be the magnetic flux passing through the surface formed by the rod, the rails at the edges, and the rail at the bottom edge of the inclined plane at t=4s? A) 1.50 Wb B) 7.53 Wb C) 0.083 Wb D) 0.147 Wb E) 1.67 Wb

"Tarzan, who weighs 600N, swings from a cliff at the end of a vine 14 m long. From the top of the cliff to the bottom of the swing, he descends by 3.4 m. The vine will break if the force on it exceeds 900 N. Does the vine break? " No Yes The data is not enough to calculate the result ооо

A softball having a mass of 0.25 kg is pitched horizontally at 120 km/h By the time it reaches the plate, it may have slowed by 10%. Neglecting gravity, estimate the average force of air resistance during a pitch. The distance between the plate and the pitcher is about 15 m.

A wagon with its passenger sits at the top of a hill. The wagon is given a slight push and rolls 100 m down a 10° incline to the bottom of the hill. What is the wagon’s speed when it reaches the end of the incline. Assume that the retarding force of friction is negligible.

6) Consider a bob attached to a vertical string. At t=0, the bob is displaced to a new position where the string makes-8° with the vertical and is then released from rest. If the angular displacement 0(C) iS written as a cosine function, then the phase constant p is Tal-r/2