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Electric CarsIn recent years, practical hybrid cars have hit the road - cars in which the gasoline engine runs a generator that charges batteries that run an electric motor. These cars offer increased efficiency, but significantly greater efficiency could be provided by a purely electric car run by batteries that you charge by plugging into an electric outlet in your house.But there's a practical problem with such vehicles: the time necessary to recharge the batteries. If you refuel your car with gas at the pump, you add 130 of energy per gallon. If you add 20 gallons, you add a total of 2.6 in about 5 minutes. That's a lot of energy in a short time; the electric system of your house simply can't provide power at this rate.There's another snag as well. Suppose there were electric filling stations that could provide very high currents to recharge your electric car. Conventional batteries can't recharge very quickly; it would still take longer for a recharge than to refill with gas.One possible solution is to use capacitors instead of batteries to store energy. Capacitors can be charged much more quickly, and as an added benefit, they can provide energy at a much greater rate - allowing for peppier acceleration. Today's capacitors can't store enough energy to be practical, but future generations will.Part AA typical home's electric system can provide 100 at a voltage of 220 . If you had a charger that ran at this full power, approximately how long would it take to charge a battery with the equivalent of the energy in one gallon of gas?Part BThe Tesla Roadster, a production electric car, has a 375 battery system that can provide a power of 200 . At this peak power, what is the current supplied by the batteries?Part CTo charge the batteries in a Tesla Roadster, a transformer is used to step up the voltage of the household supply. If you step a 220 , 100 system up to 400 , what is the maximum current you can draw at this voltage?Part DOne design challenge for a capacitor-powered electric car is that the voltage would change with time as the capacitors discharge. If the capacitors in a car were discharged to three quarters of their initial voltage, what fraction of energy would still be left?
King Arthur's knights fire cannon from the top of the castle wall. The cannonball is fired at a speed of 60 m/s and an angle of 33. A cannonball that was accidentally dropped from the top of the castle wall hit the moat below in 1.80s.
A dentist's mirror is placed 2.5 cm from a tooth. The enlarged image is located 6.1 cm behind the mirror. What kind of mirror (plane, concave, or convex) is being used
You stand on a frictionless platform that is rotating at anangular speed of 1.2 rev/s. Your arms are outstretched, and you hold a heavyweight in each hand. What is the resulting angular speed of the platform
A pitcher throws a ball weighing 0.3 lb at a velocity of 90 miles per hour (horizontally). The mass moment of inertia of a spherical body is 0.4mR2, What is the total energy of the ball
A body of mass 6 kg is acted upon by a force which causes a displacement in it given by x = t2/4 metre where t is the time in seconds
An implanted pacemaker supplies the heart with 72 pulses per minute, each pulse providing 6.0 V for 0.65 ms. find The average power supplied by the pacemaker
A 10000 N car comes to a bridge during a storm and finds the bridge washed out. The 750N driver must get to the other side, What is the speed of the car just before it lands safely on the other side
Consider the circuit in the figure below. Take emf = 6.00 V, L = 7.00 mH, and R = 6.00 O. What is the value of the final steady-state current
Your friend has a near point of 129 cm, How close can she hold a magazine and still read it clearly
A particular fish tank filled with fresh water (n = 1.33) has a coral reef sticker stuck to an exterior wall, What is the index of refraction of the tank's walls
Two very large parallel plates are oppositely and uniformly charged. The field between the plates is 1.7×106N/C, How much total charge is on each plate if they are 18.0cm on a side
An electron moves at a speed of 14000 m/s in a circular path of radius 2.4 cm in a solenoid. Find the strength of the magnetic field inside the solenoid
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