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1. A 10 kg mass stretches a spring 70 cm in equilibrium. Suppose a 2 kg mass is attached to the spring, initially displaced 25 cm below equilibrium, and given an upward velocity of 2 m/s. Find its displacement fort > 0. Find the frequency. period, amplitude, and phase angle of the motion.
2. A weight stretches a spring 1.5 inches in equilibrium. The weight is initially displaced 8 inches above equilibrium and given a downward velocity of 4 ft/s Find its displacement for t > 0.
A satellite moves in a circular orbit around Earth at a speedof 5478 m/s. Determine the period of the satellite's orbit
State the continuity equation and discuss its physical interpretation. Distinguish between the physical interpretations of the divergence and the curl of a vec- tor field by means of examples.
initially at time t 0 a particle is moving vertically at 4 ms and horizontally at 0 ms. its horizontal acceleration is
Over what time interval would the spaceship have to complete one rotation on its axis to make a bathroom scale have the same reading for the person in space as when on Earth's surface?
A car of mass 1200 kilogram is traveling at 28.0 m/s. Determine the retarding force acting on the car
a train has a mass of 5.86e6 kg and is moving at 57.7 kmhr. the engineer applies the brakes which results in a net
Twenty particles, each of mass m0 and confined to a volume V, have various speeds: two have speed v, FIND the pressure they exert on the walls of the vessel
A highway curve of radius 560m is designed for traffic moving at a speed of 94.0km/hr. What is the correct banking angle of the road
Two stars are photographed utilizing a telescope with a circular aperture of diameter of 2.35 m and light with a wavelength of 477 nm. If both stars are 1022 m from us, what is their minimum separation so that we can recognize them as two stars (i..
A guitar string is supposed to vibrate at 247Hz, but is measured to actually vibrate at 255Hz. By what percentage should the tension in the string be changed to get the frequency to the correct value?
two blocks each of mass 3.05 Kg are fastened to teh top of an elevator. A if the elevator has an upward acceleration a = 1.60 m/s^2, What is the maximum acceleration can the elevator have before the upper string breaks
You have a 210-? resistor and a 0.360-H inductor. Suppose you take the resistor and inductor and make a series circuit with a voltage source that has a voltage amplitude of 30.0V, What is the voltage amplitude across the inductor
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