A small block of mass 0.09 kg is placed against a compressed spring at the bottom of a frictionless track that slopes upward at an angle of 40* above the horizontal. The spring has k=640 N/m and negligible mass. When the spring is released, the block travels a maximum distance of 1.8 m along the track before sliding back down. B ...continues
A car is traveling on a level road with speed vi at the instant when the brakes lock, so that all the tires slide rather than roll. A. Use the work-energy theorem to calculate the minimum stopping distance of the car in terms of vi and g and the coefficient of kinetic friction, "mu"of"k" between the tires and the road. B. The ...continues
A spring of constant k, compressed a distance x, is used to launch a mass m up a frictionless slope that makes an angle "theta" with the horizontal. Find an expression for the maximum distance along the slope that the mass moves after leaving the spring? How is the expression modified when you include kinetic friction in the pro ...continues
The force exerted by an unusual spring when it is compressed a distance x from equilibrium is given by F = -kx-cx^3, where k=220 N/m and c=3.6 N/m^3. Find the energy stored in this spring when it has been compressed by 15 cm.
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Calculation of number of Uranium-235 nuclei
In a problem, I'm supposed to calculate the number of Uranium-235 nuclei in 10^4 Kg of Uranium. The answer book gives Number of U-235 nuclei = (10^4)*(1000/238)(6*10^23)(0.02) = 5*10^26 I don't know where the factor 6*10^23 and (1000/238) come from. The 0.02 come from the fact that 2% of Uranium is U-235 and the rest is U ...continues
Show that the speed of tidal waves is given by (gh)^(1/2) where h is the depth of the sea and g is the acceleration due to gravity.
Estimate the power available in a tidal stream flowing at 3m/s using a 5m diameter propeller turbine.
