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 1350 N on the rope, what is the maximum speed he can tolerate at the lowest point of his swing? His mass is 78 kg and the vine is 5.2 m long.

"The girl has a mass of 55 kg and center of mass G. If she is swinging to a maximum height defined by 0=40°, use conservation of energy to determine her speed when she passes through the lowest point, where = 0. B 2 m 30° 30°

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A 1 kg pendulum is held 2 meters above the ground and released. How fast is the pendulum traveling when it reaches it's lowest point? Assume the acceleration of gravity is 10 m/s^2.   Equation:         2.22 m/s     6.32 m/s     12 m/s      14.14 m/s

2. Tarzan, whose weight is W = 688 N, swings from a vine of length L = 18 m. He starts his swing from rest at the edge of a cliff that is h = 3.2 m above the bottom of his trajectory. The vine will break if its tension exceeds T 900 N. W (a) Does the vine break? If the vine does not break, what is the greatest (b) tension in the vine? If the vine breaks, at what angle with respect to the vertical will it break?

Assume that the force of a bow on an arrow behaves like the spring force. In aiming the arrow, an archer pulls the bow back 48 cm and holds it in position with a force of 163 N. If the mass of the arrow is 51 g and the "spring" is massless, what is the speed of the arrow immediately after it leaves the bow? v=v=  m/s A boy throws a ball of mass 0.2 kg straight upward with an initial speed of 22 m/s When the ball returns to the boy, its speed is 17 m/s How much work does air resistance do on the ball during its flight? W=W= J (give the absolute value, rounded to one decimal place)

A skier weighing 0.85 kN goes over a frictionless circular hill as shown. If the skier's speed at point A is 8.8 m/s, what is his speed at the top of the hill (point B)?

The tension in each rope of a swing at the lowest point is 412 N when a  36.0-kg girl is swinging. The two ropes are each 3.06 m long. What is the girl's speed at the lowest point?

A pendulum consists of a small object hanging from the ceiling at the end of a string of negligible mass. The string has a length of 0.79 m. With the string hanging vertically, the object is given an initial velocity of 2.8 m/s parallel to the ground and swings upward in a circular arc. Eventually, the object comes to a momentary halt at a point where the string makes an angle with its initial vertical orientation and then swings back downward. Find the angle 0. Number i Units

Consider the track shown in the figure below.   Section AB is a quadrant of a circle of radius r = 2.00 m and is frictionless. From B to C is a horizontal section 3.0 m long with a coefficient of kinetic friction μk = 0.250.  The section CD under the spring is frictionless.   A block of mass m = 1.00 kg is released from rest at A. After sliding on the track, the block compresses 0.200 m the spring. Determine (using conservation of energy): (a) the speed of the block at point B.  (b) the thermal energy (internal energy) produced when the block slips from B to C.  (c) the velocity of the block at point C. (d) the stiffness constant k for the spring.