You are swinging a tennis ball attached to a 55 cm long cord, swinging the tennis ball in a circle. As you swing the tennis ball, the force of tension in the cord keeps the tennis ball in a circular path. The mass of the tennis ball is 0.25 kg, and as it swings around, speed of the tennis ball is 3.8 m/s. What is the force of tension in the cord? (the unit of force is the 'Newton' )

G=25

A boy is playing flying fox over a swimming pool as illustrated in the figure. A cable mounted on the top of a tall tower runs down to the ground with an angle = 26° with respect to the horizontal. The boy at the top of the tower grabs a pulley on the cable and slides down from rest. His initial height was ho 15 m above the water. When he reaches hi above the water, he releases his hands from the pulley and falls into the water. The boy is subject to the regular force of gravity (g-9.80665 m/s2). Ignore friction and air resistance. <=10m (a) Determine the speed of the boy at the moment he releases his hands from the pulley. Answer: 9.90 m/s (b) Determine the speed of the boy at the moment he splashes into the water. Answer: 17 (c) At what angle with respect to the horizontal does the boy enter the water? Answer: 57.85 degrees

Two blocks are attached to opposite ends of a massless rope that goes over a massless, frictionless, stationary pulley. One of the blocks, with a mass of 6.0 kgkg accelerates downward at 3/4g. What is the mass of the other box?

Two blocks of mass m, = 10 kg and mg = 5 kg are connected by a massless string that passes over a pulley as shown in the figure. The system is in static equilibrium. There is friction between m, and the inclined surface (u.-0.4), Neglect the friction between the string and the pulley. Determine the tension in the string. 10 kg 5.0 kg 37 65.35 N () 147.0 N 98.0 N 49.0 N O 52.3 N

A hockey puck with mass 0.225 kg is at rest at the origin (x = 0) on the horizontal, frictionless surface of an ice rink. At time t = 0 a player applies a force of 9.50 N on the puck, parallel to the positive x- axis. She continues to apply this force until t = 0.850s. What are the position and speed of the puck at t = 0.850 s?

A pendulum has a length l (the rope is massless). The mass of the object suspended from the pendulum is m. With rope horizontal θ = 90o When it makes an angle of degrees, we first leave the object at no speed. Any friction can be neglected. Gravitational acceleration g. Give your answers in terms of l, m and g. When = 0o, what is the tension in the rope?

A light, rigid rod is 50.2 cm long. Its top end is pivoted on a frictionless horizontal axle. The rod hangs straight down at rest with a small, massive ball attached to its bottom end. You strike the ball, suddenly giving it a horizontal velocity so that it swings around in a full circle. What minimum speed at the bottom is required to make the ball go over the top of the circle? m/s

During their field trip to the amusement park, Eli and Frank took a rider on the Whirligig. The Whirligig ride consists of long swings which spin in a circle at relatively high speeds. They estimate that the riders travel through a circle with a radius of 6.5 m and make one turn every 5.8 seconds. Determine the speed of the riders on the Whirligig.

Two people swing jump ropes, as shown in the diagram. The highest point of the middle of each rope is M = 77 inches above the ground, and the lowest point is m 7 inches. The rope makes 4 revolutions per second. Write a model for the height h (in inches) of a rope as a function of the time t (in seconds) given that the rope is at its lowest point when t = 0. i ↑ h = h(t) = M Kit m -