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A gas fills the right portion of a horizontal cylinder whose radius is 5.57 cm. The initial pressure of the gas is 2.91 x 105 Pa. A frictionless movable piston separates the gas from the left portion of the cylinder that is evacuated and contains an ideal spring, as the drawing shows. The piston is initially held in place by a pin. The spring is initially unstrained, and the length of the gas-filled portion is 15.9 cm. When the pin is removed and the gas is allowed to expand, the length of the gas-filled chamber doubles. The initial and final temperatures are equal. Determine the spring constant of the spring.
A cockroach of mass m lies on the rim of a uniform disk of mass 6 m that can rotate freely about its center like a merry-go-round. calculate the angular velocity of the cockroach-disk system
A 5.00-kW motor is used to pull a 20.0-kg crate up a 15.0°-incline of length 4.00 m. At what average velocity can the motor move the crate up the incline
A block of mass m is accelerated across a rough surface by a (massless) rope passing over an ideal pulley and connected to a second mass m2. Derive an expression for the acceleration of the sliding block
A higway curve with a radius of 400m is banked properly for a car traveling 120km/h. how much sideways force must the tires exert
A man lost in a maze makes three consecutive displacements so that at the end of his travel he is right back where he started. find the magnitude and direction of the third displacement
A string with a mass of 6.00 g and a length of 7.00 m has one end attached to a wall; the other end is draped over a pulley, what is the fundamental frequency of vibration
An 82.0 kg skydiver jumps out of a balloon at an altitude of 1 280 m and opens the parachute at an altitude of 190 m. what is the speed of the diver when he lands on the ground
A simple pendulum is made of a small blob of mass m = 9.500 kg attached to the end of an inextensible wire. find the magnitude of the tension in the wire
In a football game a kicker attempts a field goal. The ball remains in contact with the kicker's foot for 0.0618 s, during which time it experiences an acceleration of 326 m/s2. The ball is launched at an angle of 57.3° above the ground. Determine..
A particle undergoes three successive displacements in a plane, as follows: 3.50 m southwest, 4.50 m east, and 6.00 m in a direction 60.0° north of east. How do you find the components of the first displacement
The pendulum of a regulator clock consists of a mass of .12kg at the end of a massless wooden stick of length .44m. What is the speed of the mass when at its lowest point
A stone is suspended from the free end of a wire that is wrapped around the outer rim of a pulley, Find the mass of the stone
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