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Consider three identical metal spheres, A, B, and C. Sphere A carries a charge of +8q. Sphere B carries a charge of -3q. 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) How much charge ends up on sphere C? What is the total charge on the three spheres
(b) before they are allowed to touch each other and (c) after they have touched?
When you take a bath, how many kilograms of hot water (51 °C) must you mix with cold water (14°C) so that the temperature of the bath is 36 °C? The total mass of water (hot plus cold) is 192kg. Avoid any heat flow between the water and its externa..
An aquarium contains a 5-cm layer of water (n = 1.333) floating on top of carbon tetrachloride (n = 1.461). If an angle of incidence into water from the carbon tetrachloride is 20, what is the angle of refraction into the air.
A .300kg mass attached to the end of a .75m string is whirled around on a smooth level table. If the maximum tension that the string can withstand is 250N, then what most tangential speed can the mass have if the string is not to break.
This problem introduces the concept of tension. The instance is a rope, oriented vertically, that is being pulled from both ends. Let and (with u for up and d for down) represent the magnitude of the forces acting on the top and bottom of the rope..
An advertisement claims that a particular automobile can "stop on a dime." What net force would actually be necessary to stop an automobile of mass 920kg traveling initially at a speed of 56.0km/h in a distance equal to the diameter of a dime, whi..
An elevator releases 11200J of gravitational potential energy as descending 4m between floors. How much does elevator weigh.
A polar bear of mass 436 kg stands on an ice floe 58.10 cm thick. What is the minimum area of floe that will just support the bear in saltwater of density of 1030 kg/m3? The specific gravity of ice is 0.88.
What is the kinetic energy of an ideal projectile of mass 15.3 kg at an apex (highest point) of its trajectory, if it was launched with an initial speed of 42.5 m/s and an initial angle of 41.5° respecting the horizontal.
The spring is aligned with the plane and has a spring constant of 133 N/m. Explain how much does the spring stretch?
In fair weather, over flat ground, there may be a downward electric field of 155 N/C. (a) Assume that the Earth is a conducting sphere with charge on its surface.
A body travels a distance of 3km towards east and 4 km towards north and finally 9 km towards east. what is the total distance travelled and displacement of body.
Two particles of masses m and 3.00m are moving toward each other along the x-axis with the same speed v. They undergo a head on elastic collision and rebound along the x- axis. Find out the final speed of the heavier object.
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