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Astronauts on the space shuttle used radar to determine the magnitudes and direction cosines of the position vectors of two satellites A and B. The vector rA from the shuttle to satellite A has magnitude 2 km and direction cosines cos?x = 0.768, cos?y = 0.384, and cos?z = 0.512. The vector rB from the shuttle to satellite B has magnitude 4 km and direction cosines cos?x = 0.743, cos?y = 0.557, and cos?z = -0.371. What is the angle between the two vectors rA and rB?
A light wave has a 660nm wavelength in air. Its wavelength in a transparent solid is 440nm. What is the speed of light in this solid
The two parallel plates in the figure below are 2.0 cm apart and the electric field strength between them is 2.1 104 N/C. An electron is launched at a 45° angle from the positive plate. What is the maximum initial speed v0 the electron can have witho..
Two identically charged particles separated by a distance of 5.7 m repel each other with a force of 8.9 N. What is the magnitude of the charges
An empty parallel plate capacitor is charged with the charge Q= 5uC (One plate of the capacitor carries the carge +Q and the other carries the -Q). Find the capacitance of the capacitor
Two vehicles, A and B, approach a right angle intersection and then collide. After the collision, they become entangled. Find the final velocity of the wreck
A total charge of Q is deposited on a solid metal sphere of radius R. This charge distributes itself uniformly over the surface, yielding an electrostatic field E~ perpendicular =(sigma / e0) n^ just outside the sphere and E~ = 0 everywhere insid..
A 230V shunt motor having an armature resistance of 0.05 ? and a field resistance of 75?? draws a line current of 7 A while running light at 1120 rev/min. determine the total core and mechanical losses
Starting from rest, a 4.50-kg block slides 3.00 m down a rough 30.0° incline. The coefficient of kinetic friction between the block and the incline is ?k = 0.436. Determine the work done by the force of gravity
Assume that each person is about the similar distance from the center of the field and can generate the same level of sound intensity. How numerous people are at the game.
plan a free-body diagram of the wire and bird system. How much tension does the bird produce in the wire? Ignore the weight of the wire.what is the rotational inertia of the wheel.
A volleyball player's 3.7 kg arm moves at an average angular velocity of 15 rad/s during execution of a spike. what is the average radius of gyration for the arm during the spike
The compound gear to the right is located inside a truck, whose engine rotates the driving gear with a torque of 816 N·m. find the moments of inertia of both the large and small gears
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