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Q. A spacecraft is in empty space. It carries on board a gyroscope with a moment of inertia of Ig = 23.0 kg · m2 about the axis of the gyroscope. The moment of inertia of the spacecraft around the same axis is Is = 5.00 105 kg · m2. Neither the spacecraft nor the gyroscope is originally rotating. The gyroscope can be powered up in a negligible period of time to an angular speed of 135 rad/s. If the orientation of the spacecraft is to be changed by 20.0°, for what time interval should the gyroscope be operated?
Q. Two weights are connected by a very light flexible cord that passes over a 30.0- frictionless pulley of radius 0.100 . The pulley is a solid uniform disk and is supported by a hook connected to the ceiling. One weight is 75.0 N and the other is 125 N.
What force does the ceiling exert on the block?
River Pascal with a volume flow rate of 3.3×10^5 joins with River Archimedes, that carries 1.09×106 , to form the Bernoulli River. The Bernoulli River is 120 wide and 20 deep.
At t = 0, a particle leaves the origin with a velocity of 9 m/s in the positive y direction and moves in xy plane with a constant acceleration of (-2 i -4 j) m/s2. At t = 1 s, what is the velocity of particle in the x direction.
A bead with a mass of 0.083 g and a charge of 15 nC is free to slide on a vertical rod. At the base of the rod is a fixed 10nC charge. In stability, at what height above the fixed charge does the bead rest.
A 258-kg log is pulled up a ramp by means of a rope that is parallel to the surface of the ramp. The ramp is inclined at 30.0° with respect to the horizontal. The coefficient of kinetic friction between the log and the ramp is 0.980, and the log has ..
A particular nucleus of the element plutonium contains 94 protons and 150 neutrons. What is the magnitude of the force from the nucleus on a single electron that is at a distance of 0.563 × 10-12 m from the plutonium nucleus.
Clifford is in a real hurry, however, and skips the speed ramp. Starting from rest with an acceleration of 0.49 m/s2, he covers the same distance as the ramp does, but in one-fourth the time. What is the speed at which belt of the ramp is moving.
Unpolarized light with an intensity of 275 W/m2 passes by the two polarizers whose transmission axes are at an angle of 30.0° with respect to each other. What is an intensity of the light transmitted through both polarizers.
How much work should Denise do to drag her basket of laundry of mass 6.0 kg a distance of 3.0 m along a floor, if the force she exerts is a constant 50.0 N at an angle of 70.0° with the horizontal.
Two stationary positive point charges, charge 1 of magnitude 3.65 and charge 2 of magnitude 1.80 , are separated by a distance of 58. An electron is released from rest at the point midway between two charges, and it moves along the line connecting..
A box of well called as breakfast cereal states that one small portion of the cereal contains 110 Calories (1 Cal = 4186 J). If 2.0 percent of this energy could be converted by a weight lifters body into work completed in lifting a barbell.
Find the frictional torque, which is assumed to be constant. Find the moment of inertia of the wheel.
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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