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Consider three identical metal spheres, A, B, and C. Sphere A carries a charge of +3q. Sphere B carries a charge of -q. Sphere C carries no net charge. Spheres A and B are touched together and then separated. Sphere C is then touched to sphere A and separated from it. Lastly, sphere C is touched to sphere B and separated from it. (a) What is the ratio of the final charge on sphere C to q? What is the ratio of the final total charge on the three spheres to q (b) before they are allowed to touch each other and (c) after they have touched?
A rifle with a barrel length of 58 fires an 11 bullet with a horizontal speed of 370. The bullet strikes a block of wood and penetrates to a depth of 15.
It has been suggested that rotating cylinders about 12 mi long and 5.1 mi in diameter be placed in space and used as colonies. What angular speed should such a cylinder have so that the centripetal acceleration at its surface equals free-fall acce..
An 18 g rifle bullet travelling 180m/s buries itself in a 3.6kg pendulum hanging on a 2.8 m long string, which makes the pendulum swing upward in an arc. Verify the horizontal component of the pendulum's displacement.
Even as exploring a sunken ocean liner, principal researcher found the absolute pressure on the robot observation submarine at the level of the ship to be about 413 atmospheres. The density of seawater is 1025kg/m^3.
If a person radiates about 66 W of power at room temperature, how long does it take for person to radiate away the energy acquired by consuming a 230 Calorie doughnut.
Using and Atwood machine with masses m1 and m2, at first with m1 a distance 2h above m2, what is the speed of either mass they pass each other? Make use of energy to solve (hint they cross halfway between the starting positions of the two masses).
Atoms are typically spaced about 0.2 nm apart. At that spacing, how many atoms would be found in a line 4.93 inches long?
A diver 22m deep in 12°C fresh water exhales a 0.8 cm diameter bubble. What is the bubble's diameter just as it reaches the surface of the lake, where the water temperature is 25°C? Hint: suppose that the air bubble is always in thermal equilibriu..
Far in space, where gravity is negligible, a 480-kg rocket travelling at 95 m/s fires its engines. The figure shows the thrust force as a function of time. The mass lost by the rocket all through these 30s is negligible.
Speedboat A negotiates a curve whose radius is 115 m. Speedboat B negotiates a curve whose radius is 194 m. Each boat experiences the same centripetal acceleration. What is the ratio vA/vB of the speeds of boats.
An arrow is fired horizontally with a speed of 68. m/s directly at the bulls eye of a target 50 m away. When fired, the arrow is 120-m above the ground. How far short of the target does it strike the ground.
A circular loop in the plane of the screen lies in a 0.60 T magnetic field pointing into the screen. The loop's diameter changes from 18.5 cm to 6.0 cm in 0.50 s.
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