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Q. A damped mass-spring system oscillates at 280 Hz. The time constant of the system is 2.0 s. At t = 0, the amplitude of oscillation is 8.4 cm and the energy of the oscillating system is then 84 J.
(a) What is the amplitude of oscillation at t = 2.0 s?
What is the amplitude at t = 4.0 s?
(b) How much energy is dissipated in first 2 s interval?
How much energy is dissipated in second 2 s interval?
An aquarium contains a 5-cm layer of water (n = 1.333) floating on top of carbon tetrachloride (n = 1.461). If an angle of incidence into water from the carbon tetrachloride is 20, what is the angle of refraction into the air.
An object has a kinetic energy of 303 J and the momentum of magnitude 22.9 kg·m/s. Find the speed and the mass of the object.
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At what angle have to the laser beam in the diagram be aimed at mirrored ceiling in order to hit the midpoint of the far wall? The length of the room is a=4.9 m and its height is b=3.00 m.
The minimum distance required to stop a car moving at 38.0 mi/h is 41.0 ft. What is the minimum stopping distance for the same car moving at 68 mi/h, suppose the same rate of acceleration.
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A 9.40kg projectile is fired vertically upward. Air drag decreases the mechanical energy of the projectile-Earth system by 69.5kJ throughout the projectile's ascent. How much higher would the projectile have gone were air drag negligible.
A hot ( ) lump of metal has a mass of 250g and a specific heat of 0.25 . John drops the metal into a 500g calorimeter containing 75g of water at . The calorimeter is constructed of a material that has a specific heat of 0.10 . When equilibrium is ..
The deflection plates in an oscilloscope are 10 cm by 2 cm with a gap distance of 1 mm. A 100 volt potential difference is suddenly applied to the initially uncharged plates through a 950 ohm resistor in series with the deflection plates.
A loudspeaker of mass 18.0 {rm kg} is suspended the distance of h = 1.20 {rm m} below the ceiling by two cables that make equal angles with the ceiling. Each cable has a length of l = 2.70 {rm m}. What is the tension T in each of the cables? Utili..
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