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Your new designer chair has an S-shaped tubular metal frame that behaves just like a spring. When your friend, who weighs 600 N, sits on the chair, it bends downward 4 cm. What is the spring consta
A 2000 kg car is traveling at 40.0 m/s and then puts on the brakes and comes to a complete stop. The heat generated at the brakes due to stopping heats up the brakes. The mass of the brake system i
Is the collision between a ball and pendulum elastic or inelastic? Justify by calculating the kinetic energy of the system before collision using the value of Vx0 found in the experiment and the kin
Write down the system of differential equations for small oscillation of the mass in the x-y plane.
What is the magnitude of the total electrostatic energy of the ?nal 5 charge system? It may be useful to consider the symmetry property of the charge distribution which leads to cancellations among
What is the minimal mass of helium (density 0.18 ) needed to lift a balloon carrying two people in a basket, if the total mass of people, basket, and balloon (but not gas) is 320 ?
A 3.00-g copper penny at 25.0' C drops 50.0 m to the ground. (a) If 60% of the initial potential energy of the coin earth system goes increasing the internal energy of the coin determine the coin's
Two heavy pendula of mass m are suspended from strings of length l inside a railroad car of mass M that can roll freely on horizontal tracks (ignore the moment of inertia of the wheels). a) Write d
While john is traveling along an interstate highway, he notices a 160-mile marker as he passes through town. Later John passes another mile marker, 115.
A wheel is spinning clockwise at a 10.0 revolutions per second at t = 0. Due to friction in the bearings supporting the axle, the wheel slows down, losing 0.500 revolutions per second in angular vel
A slab of ice floats on a freshwater lake. What minimum volume must the slab have for a 47.0 kg woman to be able to stand on it without getting her feet wet?
A rifle is aimed horizontally toward the center of a target 0.10 km away, but the bullet strikes 10 cm below the center. Calculate the velocity of the bullet just as it emerges from the rifle.
Air is streaming horizontally past a small airplanes wings such that the speed is 50m/s over the top surface and 30m/s past the bottom surface. the plane has a mass of 300kg and a total wing area of
An automobile and train move together along parallel paths at 31.6 m/s. The automobile then undergoes a uniform acceleration of -4 m/s2 because of a red light and comes to rest. It remains at rest f
A 45.0kg girl is standing on a 149kg plank. the plank, originally at rest, is free to slide on a frozen lake, which is a flat, frictionless surface. the girl begins to walk along the plank at a con
A car is driven 105 km west and then 65 km southwest. What is the displacement of the car from the point of origin (magnitude and direction)?
Sketch the velocity/time graphs of the following motions: a) a city bus that is moving with a constant velocity
A frictionless roller coaster is given an initial velocity of v0 at height h = 27 m. The radius of curvature of the track at point A is R = 33 m. The acceleration of gravity is 9.8 m/s2 . Find the
A butterfly at eye level is 20 cm in front of an plane mirror. You are behind the butterfly, 46 cm from the mirror. What is the distance between your eye and the image of the butterfly in the mirro
What centripetal force does an 80-kg passenger experience when seated 12 m from the center of a Ferris wheel whose angular speed is 0.50 rad/s?
A small circular hole 6.00 mm in diameter is cut in the side of a large water tank, 14.0 m below the water level in the tank. The top of the tank is open to the air. What is the speed of efflux? Wha
An airplane maintains a speed of 567 km/h relative to the air it is flying through as it makes a trip to a city 745 km away to the north. What time interval is required for the trip if the plane fli
If destructive interference occurs at a particular instant, by what minimum amount must the difference of two path lengths in the U-shaped tube be increased in order to hear constructive interferen
What type of weather front would be responsible for the following weather forecast? "Cool today with rain becoming heavy by this afternoon. Slightly warmer tomorrow. Winds southeasterly becoming we
A railroad diesel engine weighs 4 times as much as a freight car. If the diesel engine coasts at 5 km/h into a freight car that is initially at rest, show the speed of the coupled cars