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a) The fastest possible rate of rotation of a planet is that for which the gravitational force on material at the equator barely provides the centripetal force needed for the rotation. For a planet with a uniform density of 6.6 g/cm3, typical of many planets and asteroids, evaluate the shortest period of rotation.
b) Certain neutron stars (extremely dense stars) are be- lieved to be rotating at about 1.1 rev/s. If such a star has a radius of 18.9 km, what must be its minimum mass so that ob- jects on its surface will be attracted to the star and not thrown off by the rapid rotation?
Write a complete set of equations from Kirchhoffs for the circuit -
A 4.70 kg mass causes a vertical spring to stretch 0.850 meters. The spring is after that stretch and extra 0.270 meters and release (as a stopwatch starts) causing the spring and mass to oscillate.
If the coefficient of static friction is 0.951, illustrate what is the maximum speed that the car can take without skidding?
A 24.00 kg child is on a swing that hangs from 1.6-m long chains. What is her highest speed if she swings out to a 45° angle.
A simple pendulum has a mass of 0.350 kg and a length of 7.00 m. It is displaced through an angle of 12.0° and then released, What is the maximum angular acceleration
While running, a person dissipates about 0.60 J of mechanical energy per step per kilogram of body mass. If a 64 kg person develops a power of 65W throughout a race, how fast is the person running? Assume that a running step is 1.5 m long.
A flywheel rotates at a rate of 20 rpm. A motor provides a constant angular acceleration so that 30 secondslater it turns at a rate of 70 rpm, what is the angular acceleration of the splotch of paint
A solid disk of mass m1 = 9.3 kg and radius R = 0.23 m is rotating with a constant angular velocity of ? = 33 rad/s. find the initial angular momentum of the rod and disk system
A spider of mass m is sitting in a perfectly symmetric web (in a vertical plane with 45 angles between the web lines), where Ti's denote the tensions along the lines that are connected to the spider at the center with i = 1, 2, 3, 4, 5, 6, 7, 8. The ..
Heat is another word for thermal energy. Dissimilar materials at the same temperature can contain different amounts of heat.
The amount of internal enrgy needed to raise temperature of .25kg of water by .2 degreesCis 209.3J. How fast must a .25kg baseball travel in order for its kinetic energy to equal this internal energy.
a block of mass 12.0 kg is connected to a spring on a horizontal frictionless surface. write the expression for the position of the block as the function of time
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