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Suppose you have an electric hot water heater for your house which is an aluminum cylinder which has a 0.6 m radius and is 1.8 m high. The walls are 1.0 cm thick. The thermal conductivity of Aluminum is 217 W/(m K). Assume that the temperature of the hot water inside the hot water heater is kept at a constant 90 C, and the external temperature is 27 C a)What is the surface area of the cylinder? b)How much energy is lost through the walls of the hot water heater in one week? (Assume thinner surface of the heater is 90 C and the outer surface is 27 C.) c)Assume you pay $0.10 per kW-hour for electricity. How much would it cost just to keep the hot water inside the heater for one week? d)Suppose that you wrap the hot water heater on all sides with a 10 cm thick blanket of fiberglass insulation which has a thermal conductivity of 0.04 W/(m K). Assume the inner surface of the fiberglass insulation is at 90 C and the outer surface is at 27 C, and the total surface area is still what you calculated in part A. e)Assume you pay $0.10 per kW-hour for electricity. How much would it cost just to keep the hot water inside the fiberglass-wrapped heater for one week?
Compute the force of gravity between a newborn baby (mass = 4 kg) and the planet Mars (mass = 6.4 x10^23 kg), when Mars is at its position closest to Earth (distance = 8.0 x10^10 m).
What would be the potential difference VC - VB across the thin resistor if the battery emf is 4.00 volts? Suppose that the electric field in the thick wires is very small (so that the potential differences along the thick wires are negligible)
A 5.25 kg ball of clay is thrown downward from a height of 2.79m with a speed of 4.41 m/s onto a spring with k=1530 N/m. The clay compresses the spring a certain maximum amount before momentarily stopping.
A bullet of mass 0.018kg traveling horizontally at a high speed of 290m/s embeds itself in a block of mass 4 kg that is sitting at rest on a nearly frictionless surface.
A ball is thrown directly downward with an initial speed of 8.50 m/s, from the height of 29.5 m. After what time interval does it strike the ground.
Computes the price per kwh for a 12-volt automobile battery with a 50 amp-hour capacity that sells for $40. If its weight is 45-lb, what is the energy density in watt-hours per lb.
Ann is driving down a street at 53km/h. suddenly a child runs into the street. If it takes Ann 0.709s to react and apply the brakes, how far will she have moved before she begins to slow down? Answer in units of m.
A baseball (m = 137 g) approaches a bat horizontally at the speed of 40.6m/s (91 mi/h) and is hit straight back at a speed of 45.1m/s (101 mi/h). If the ball is in contact with the bat for a time of 1.00 ms, what is the average force exerted on the..
An 8.30 kg stone at rest on a spring. The spring is compressed 11 cm by the stone. The stone is after that pushed down an additional 26.00 cm and free. To what highest height (in cm) does the stone rise from that position.
A horse canters away from its trainer in a straight line, moving 150m away in 14 sec. It then turns abruptly and gallops halfway back in 4.5 sec.
110 grams of boiling water (temperature 100° C, heat capacity 4.20 J/gram/K) are poured into an aluminum pan whose mass is 1000 grams and initial temperature 24° C (the heat capacity of aluminum is 0.9 J/gram/K).
Pressure Variations and Ocean Exploration, How do the pressure variations with depth affect the ability to explore the ocean? How does it affect scuba diving
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