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The mass of a regulation tennis ball is 57 g (although it can vary slightly), and tests have shown that the ball is in contact with the tennis racket for 30 ms . (This number can also vary, depending on the racket and swing.) We shall assume a 30.0-ms contact time. The fastest-known served tennis ball was served by "Big Bill" Tilden in 1931, and its speed was measured to be 73 m/s .
Using the Lagrangian approach outlined in class (or whatever your favorite method is) derive the coupled dierential equations for a quadruple pendulum with unequal masses and lengths. Solve the equations (either analytically or numerically) and pl..
q1. if air drag is negligibly small how fast is sequoia cone moving while it reaches the ground if it dropped from the
every second at niagara falls approximately 5000 m3 of water falls a distance of 50.0 m. what is the increase in
A massless string is wrapped around a cylinder of mass 0.59 kg and radius 0.28 m. The string attached to the ceiling. The cylinder is released. As it falls, the string unwinds. What is the the tension?
Two 4.4 kg bodies, A and B, collide. The velocities before the collision are A = (12 + 46) m/s and B = (-32 + 22) m/s. After the collision, 'A = (-16 + 30) m/s. What is the change in the total kinetic energy
The same object is located at the same distance from two spherical mirrors, A and B. Find the ratio fA/fB of the focal lengths of the mirrors
A 430 gram rock is whirled on the end of a string 45 cm long which will break under a tension of 22 N. What is the highest speed the rock can reach before the string breaks? (Neglect gravity.)
Use momentum conservation to find a relation between the velocity of the car relative to the boat and the velocity of the boat relative to the water. Hence show that the distance travelled by the boat, until the car falls off, is independent of th..
A velodrome track is banked so that a bicycle traveling at 78.2 km/h will have no tendency to slip to either side when traveling on the path that has a radius of curvature of 76.0 m
a 1600 kg car is moving westward with a speed of 20 ms and a 2800 kg truck is traveling east with a speed of 14 ms.
A 330 Newton sphere 0.20 meter in radius rolls, without slipping 6.0 meter down a ramp that is inclined at 28 degree with the horizontal. Find the angular speed of the sphere at the bottom of the hill
10 kg of water at 20 degrees c converted to ice at -10 degrees c by being put in contact with a reservoir at -10
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