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Q. A simple harmonic oscillator consists of a block of mass 3.20 kg attached to a spring of spring constant 184 N/m. When t = 4.00 s, the position and velocity of the block are x = +0.129 m and v = +3.415 m/s.
What is the amplitude of the oscillations?
Q. Block 1, of mass = 0.500 , is connected over an ideal (massless and frictionless) pulley to block 2, of mass , as shown. Assume that the blocks accelerate as shown with an acceleration of magnitude = 0.300 and that the coefficient of kinetic friction between block 2 and the plane is = 0.400. Find the mass of block 2, , when = 30.0.
A 52kg ballet dancer stands on her toes during a performance with four square inches (26cm2) in contact with the floor. What is the pressure exerted by floor over the area of contact in some cases.
A child slides down a slide with the 29 degree incline, and at the bottom her speed is precisely half of what it would have been if the slide had been frictionless. Compute the coefficient of sliding between the child and the slide.
Coherent light with wavelength 599nm passes through two very narrow slits, and the interference pattern is observed on a screen a distance of 3.00m from the slits. The first-order bright fringe is a distance of 4.84mm from the center of central brigh..
A bicycle and rider have a combined mass of 100 kg. How many calries of heat are generated in brakes when the bicycle comes to a stop from a speed of 36 km/h.
A metal block of mass m slides on a horizontal surface that has been lubricated with a heavy oil so that the block suffers a viscous resistance that varies as the 3/2 power of the speed F(v)=-cv^3/2. If the initial speed of the block is v0 at x=0,..
A trough is 5 feet long and 1 foot high. The vertical cross-section of the trough parallel to an end is shaped like the graph of y=x10 from x=1 to x=1. The trough is full of water. Find out the amount of work in foot-pounds required to empty the t..
What is the horizontal component of the ball velocity
Expand Lagrangian to second order about equilibrium coordinates, r_0, phi = wt and find the condition for stability against small oscillations.
A converging lens of focal length 18 cm is 30 cm to the left of a diverging lens of focal length - 6 cm. a coin is placed 12 cm to the left of the converging lens. Find (a) location and (b) magnification of the coin's final image.
Some athletes can put out as much as 800 watts in short bursts. If you could sustain such energy output long enough to reach the top of a mountain, how much time would it take you to get there from the valley, 3000 meters below the peak? So how does ..
How would you describe why we have different atmospheric pressure on different level (height) of earth's atmosphere in molecular level (molecular behaviour and what causes such behaviour).
Many communications satellites orbit the earth in geostationary orbits. (They appear to remain in the same positions in the sky for observers on the earth's surface.) If such a satellite orbits at a height of 40,000 km, estimation the time delay in a..
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