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A 2.00-kg object is attached to an ideal massless horizontal spring of spring constant 100.0 N/m and is at rest on a frictionless horizontal table. The spring is aligned along the x-axis and is fixed to a peg in the table. Suddenly this mass is struck by another 2.00-kg object traveling along the x-axis at 3.00 m/s, and the two masses stick together. What are the amplitude and period of the oscillations that result from this collision? 0.300 m, 1.26 s 0.424 m, 5.00 s 0.424 m, 0.889 s 0.300 m, 0.889 s 0.424 m, 1.26 s
A basketball of mass 610g and circumference 76cm is rolling without slipping on a gym floor. Treating ball as a hollow sphere, what fraction of its total kinetic energy is associated with its rotational motion.
Assuming that all the heat generated by the resistor is absorbed by the solid substance, and that it takes 4 minutes to raise the temperature from 20to 80 degrees C, compute the specific heat for the substance.
An open-pit coal mine consumes 71hectares of land, down to a depth of 23m, each year. What volume of earth, in cubic kilometres, is separate in this time.
A scientific supply catalog advertises a material having the index of refraction of 0.85. Is that a better product to buy? Why or why not.
A Toyota Prius driving north at 61.0 {rm mph} and VW Passat driving south at 41.0 {rm mph} are on the same road heading along each other (but in different lanes). (We take the positive direction to be north.)
Calculate the vertical component of its velocity by the time it hits the ground
A hot-air balloon is ascending at the rate of 11 m/s and is 68 m above the ground as a package is dropped over the side. How long does it take to reach the ground.
What is Lagrangian for the system
The liquid level system shown in the below figure is initially at the steady state with the inlet flow rate at 1 cfm. Calculate the maximum & minimum values of the output.
A copper block is removed from a 300°C oven and dropped into 1.00 kg of water at 20.0°C. The water quickly reaches 26.5°C and then remains at that temperature. What is the mass of the copper block?
(a) How many times does PSR 1937+21 rotate in 77.0 days? (b) How much time (in s) does the pulsar take to rotate 5.00 × 106 times and (c) what is the associated uncertainty, in s?
A) Find v so that the rod swings up and is horizontal at the max height of the bob. B) Find the minimum v so that the rod will make a complete circle C) Find v so that the tension in the rod is zero at the top of its swing.
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