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Q1. Determine the amount of electrostatic energy of a uniform sphere of charge with radius b and volume charge density ρ stored in the following regions: i) inside the sphere. ii) Outside the sphere
Q2. In March 2004, a British company effectively tested a power system to tap the energy of ocean tides. The energy will be stored in an underwater turbine consisting of two metal blades, each 15.0 {rm m} long. The movement of the water because of the tides will give kinetic energy to the turbine blades, causing them to spin. In the calculations that follow ignore any frictional drag because of the seawater. If we model each of these two blades as a thin uniform steel bar 15 {rm m} long and 25 {rm cm} in diameter, at what rate (in {rm rad/s} and {rm rpm}) must they spin for the turbine to store 1.00 {rm MJ} of energy? The density of steel is 7800 {rm{{rm kg}/{rm m}}}^3 . (Recall that density is equal to an object's mass divided by its volume?
A cart of mass M = 1.2 kg can roll without friction on a level track. A light string draped over a light, frictionless pulley connects the cart to a hanger with mass m = 0.5 kg. The cart is released from rest, allowing it to roll, pulled by falling h..
Find the change in momentum of a 1080 {rm kg} car that increases its speed from 5.0 {rm m/s} to 14.5 {rm m/s} in a time of 11 {rm s} while travelling in the same direction.
A ranger in a national park is driving at 59 km/h while a deer jumps onto the road 61 m ahead of the vehicle. After a reaction time of t s, ranger applies the brakes to produce an acceleration of -3 m/s2. What is the maximum reaction time allowed if ..
A solid cylinder with mass and radius, rotating with angular speed about an axis throughout its center, is set on the horizontal surface for which the kinetic friction coefficient is.
Rank the vector combinations on the basis of their angle, measured counter clockwise from the positive x axis. Vectors parallel to the positive x axis have the angle of 0. All angle measures fall between 0 and 360.
Find the final displacement from the starting point. How much greater was the distance she walked than her displacement.
What is the magnitude of the magnetic field. Evaluate this to the tension as the boat is raised and held at rest so the angle becomes 25 degrees.
You are trying to overhear a juicy conversation, but from your distance of 15m. It sounds like only an average whisper of 20 dB. So you decide to move closer to give the conversation a sound level of 60 dB instead. How close must you come.
Speedboat A negotiates a curve whose radius is 150m. Speedboat B negotiates the curve whose radius is 190m. Each boat experiences the same centripetal acceleration. What is the ratio vA/vB of the speeds of boats.
A conveyor belt at a quarry lifts 2,000 kg of sand per minute up a vertical distance of 12 meters. The sand is originally at rest, then moves at a speed of 0.20 m/s all along the conveyor belt. What is the instantaneous power produced by this machine..
Long, long ago, on a planet far, far away, a physics experiment was carried out. First, a 0.250- ball with zero net charge was dropped from rest at a height of 1.70. The ball landed 0.400 later. Next, the ball was given a net charge of 7.85 and dropp..
An iron bolt of mass 63.4 g hangs from a string 32.6 cm long. The top end of the string is fixed. Without touching it, the magnet attracts the bolt so that it remains stationary, displaced horizontally 28.5 cm to the right from the before vertical li..
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