(a) How much gravitational potential energy (in J) (relative to the ground on which it is built) is stored in an Egyptian pyramid, given its mass is about 7 x 10° kg and its center of mass is 40.0 m above the surrounding ground? (Enter a number.) (b) What is the ratio of this energy to the daily food intake of a person (1.2 x 10' J)? (Enter your answer as a ratio to the number 1. Enter a number.) :1

When an archer pulls an arrow back in his bow, he is storing potential energy in the stretched bow. (a) Compute the potential energy stored in the bow, if the arrow of mass 4.85  10-2 kg leaves the bow with a speed of 32.0 m/s. Assume that mechanical energy is conserved.(b) What average force must the archer exert in stretching the bow if he pulls the string back a distance of 30.0 cm?

Suppose that the average U.S. household uses 12600 kWh (kilowatt-hours) of energy in a year. If the average rate of energy consumed by the house was instead diverted to lift a 1250 kg car 15.8 m into the air, how long would it take? Number Using the same rate of energy consumption, how long would it take to lift a loaded 747, with a mass of 4.00 x 10 kg, to a cruising altitude of 9.17 km? Number S

Given: The energy equivalent of one gallo of gasoline is 1.3 x 10 J. A compact car has a mass of 907 kg, and its efficiency is rated at 16.7%. (That is, 16.7% of the input energy available is delivered to the wheels.) Find the amount of gasoline used to accel- erate the car from rest to 25.1 Answer in units of gal. m/s.

Suppose that 4 J of work is needed to stretch a spring from its natural length of 34 cm to a length of 48 cm. (a) How much work is needed to stretch the spring from 38 cm to 46 cm? (Round your answer to two decimal places.) (b) How far beyond its natural length will a force of 15 N keep the spring stretched? (Round your answer one decimal place.)

A swimming pool is round, full of contaminated water, and has an 11 foot radius. It is 11 feet tall and has 4 feet of water in it.How much work is required to remove all of the contaminated water by pumping it over the side? (Use the physical definition of work, and the fact that the weight of the contaminated water isσ=63.2lbs/ft3 )

How high would you have to lift a 2000 kg car to give it a potential energy of: (a) 4. 0 x 103 J ,   (b) 5.00 x 105 J?

A vertical right-circular cylindrical tank measures 28 ft high and 14 ft in diameter. It is full of liquid weighing 62.4 lb/ft³. How much work does it take to pump the liquid to the level of the top of the tank? Set up the integral that gives the work required, in ft-lb, with y = 0 corresponding to the bottom of the tank. (Type an exact answer, using as needed.)

An object moves with kinetic energy 18 J at ground level (where potential energy = 0), and moves 2 meters up a ramp, generating 4 J of heat (due to friction) during this process.  If its kinetic energy is 5 J after this process, then what is its new potential energy in units of Joules (J)?

Suppose that 6J of work is needed to stretch a spring from its natural length of 28 cm to a length of 40 cm. (a) How much work is needed to stretch the spring from 33 cm to 38 cm? (Round your answer to two decimal places.) 1.2 (b) How far beyond its natural length will a force of 2ON keep the spring stretched? (Round your answer one decimal place.) 7.5 cm Need Help? Watch It