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A circular astroid belt of total mass, m, and average radial distance, R, rotates uniformly around a sun with angular speed, 9. After some time gravitational forces cause the astroid belt to condense into a spherical planet of radius r. If the planet orbits the sun at the same angular speed, 9, at what rate must the planet spin on its own axis, to, in order for the system to conserve total angular momentum? Take the moment of inertia of the astroid belt to be approximately that of a thin hoop about its central axis (I = M R2), and the planet to be that of a solid uniform sphere (I = ng2).
A block of mass 0.731 kg on a spring with spring constant 235.3 N/m oscillates vertically with amplitude 0.545 m. What is the speed of this block at a distance of 0.335 m from the equilibrium position
A military gun is mounted on a railroad car (m = 1400 kg), Find the recoil velocity of the car
When an inflated balloon is placed in a refrigerator it is noted that its volume reduces, use the kinetic theory of gases to explain this observation.
Small airplane A is flying through a mature isolated air mass thunderstorm at a height of 5 km, while small airplane B is flying at 2 km through the same mature isolated air mass thunderstorm. Discuss any dangers each of these two airplanes might ..
Select the correct expression that describes how the magnitude of the acceleration of block 1, a1, depends on the tension in the rope, T. iii) Select the correct expression that describes how the magnitude of the acceleration of block 2, a2, depends ..
Suppose 100 mg of gold (197 79 Au) foil are exposed to a thermal neutron flux of 1012 neutrons/cm2/s in a reactor. Calculate the activity and the number of atoms of 198Au in the sample at equilibrium [Thermal neutron activation cross-section for ..
A 45 kg woman stands up on a 60 kg platform of length 5m that sits ona frictionless surface. Calculate how far the canoe (platform) slides during the walk
A water fall is 500m high. (a) What is the difference in temperature between the water at the top and bottom if no water evaporates while falling? (b) What fraction of the water must evaporate to keep the temperature the same?
An airplane is flying with a velocity of 93at an angle of 25 above the horizontal. When the plane is a distance 103 directly above a dog that is standing on level ground, a suitcase drops out of the luggage compartment.
A skier starts at the top of a hill angled at 30 degrees from the horizontal. The hill is 100 meters long. how fast is he going when he reaches the bottom of the hill
Assume that 36% of the body of a person floating in the Dead Sea will be above the water line, Find the density of the water in the Dead Sea
Two Conducting spheres carry charges of -15 mu C and +45 mu C. are brought into contact and then separated to a distance of 10 cm. Determine the magnitude of the force that each sphere flow experiences.
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