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A 80 kg astronaut rotates around his space ship on a string. He has a ri = 8 m radius of rotation, and an angular speed of ωi = 4 rad/s. The astronaut pulls himself closer to his ship. His new radius of rotation is changed to rf = 4 m. Assume that the astronaut can be treated as a point mass; the rotational inertia of a point mass is I = mr2.
(a) Compute the final angular speed of the astronaut.
(b) Is rotational kinetic energy of the astronaut conserved? If not, what happened to the difference in kinetic energy? Explain.
The current in the electron beam of a computer monitor is 415 ?A. How many electrons per second hit the screen
Show that the power-law form for the velocity profile in a turbulent ?ow is not a good approximation at the wall or at the outer edge of the boundary layer.
A 200g hockey puck is launched up a metal ramp that is inclined at a 30 degree angle. The coefficients of static and kinetic friction among the puck and the ramp are μs =0.40 and μk = 0.30, and the puck's initial velocity at the base is 3.8 m/s paral..
A 50 newton horizontal force pushes a 10 kg mass sitting on a horizontal surface. What is the acceleration of the mass
If a constant force of 416 N acts in the direction opposite to the body's motion, how long must the force act to bring the body to rest
A 2.7 kg mass acceleration speed at 10 m/s2 in a direction 38? north of east. One of the two forces acting on the mass has a magnitude of 10.6 N and is directed north. Determine the magnitude of the second force.
need to determine the mass of jupiters moon sinope with the given formula m1 a3p2. sinopes period of orbit is 2.075
the planet mars requires 2.35 years to orbit the sun which has a mass of 2 times 1030 kg in an almost circular
A charge of -3.00 nC is located at the origin of an x-y coordinate system, and a charge of 2.00 nC is located on the y-axis at y=4 centimeter. find the magnitude and direction of the total force
light with a frequency of 5.40 x 10^14 Hz travels in a block of glass that has an index of refraction of 1.52, what is the wavelenght of the light in vacuum
A small plastic ball of mass 5.55 x 10-3 kg and charge+0.192C is suspended from an insulating thread and hangs betweenthe plates of a capacitor (see the drawing). The ball is inequilibrium, with the thread making an angle of 30.0owith respect to t..
A flat circular coil with 171 turns, a radius of 5.85E-2 m, and aresistance of 0.373 Ω is exposed to an external magnetic fieldthat is directed perpendicular to the plane of the coil.
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