A hydroelectric power facility converts the gravitational potential energy of water behind a dam to electric energy. (a) What is the gravitational potential energy relative to the generators of a lake of volume 50.0 km3 ( mass=5.00×1013kg), given that the lake has an average height of 40.0 m above the generators? (b) Compare this with the energy stored in a 9-megaton fusion bomb.

What mass of butter, which has a usable energy content of 6.0 Cal/g (= 6000 cal/g), would be equivalent to the change in gravitational potential energy of a 56 kg man who climbs 8.40 km? Assume that the average g for the climb is 9.80 m/s2.

You fly from Boston’s Logan Airport, at sea level, to Denver, altitude 1.6 km. Taking your mass as 65 kg and the zero of potential energy at Boston, what’s your gravitational potential energy (a) at the plane’s 11-km cruising altitude and (b) in Denver? I’ve completed the question and want to compare to see if it’s correct

Suppose a car travels 108 km at a speed of 30.0 m/s, and uses 1.80 gallons of gasoline. Only 30% of the gasoline goes into useful work by the force that keeps the car moving at constant speed despite friction. (The energy content of gasoline is 1.30 x 108 ) per gallon.) (a) What is the force (in N) exerted to keep the car moving at constant speed? (Enter a number.) N (b) If the required force is directly proportional to speed, how many gallons will be used to drive 108 km at a speed of 28.0 m/s? (Enter a number.) | gallons

What would be Tom´s gravitational potential energy at the roof of the empire state building if it has an altitude of 1250 feet (380 meters) and his weight is equal to 600N?.

A hydroelectric power facility converts the gravitational potential energy of water behind a dam to electric energy. (For each answer, enter a number.) (a) What is the gravitational potential energy (in J) relative to the generators of a lake of volume 38.0 km3 (mass = 3.80 ✕ 1013 kg), given that the lake has an average height of 42.0 m above the generators? ?J   (b) Compare this with the energy stored in a 9-megaton fusion bomb. Elake/Ebomb =

A luggage handler pulls a 20.0 kg suitcase up a ramp inclined at 34.0 ∘∘ above the horizontal by a force F⃗ → of magnitude 163 NN that acts parallel to the ramp. The coefficient of kinetic friction between the ramp and the incline is μk = 0.300. The suitcase travels 3.70 mm along the ramp.  Calculate the work done on the suitcase by F⃗ →. Calculate the work done on the suitcase by the gravitational force.   Calculate the work done on the suitcase by the normal force.   Calculate the work done on the suitcase by the friction force.   Calculate the total work done on the suitcase.   If the speed of the suitcase is zero at the bottom of the ramp, what is its speed after it has traveled 3.70 mm along the ramp?

A&B plz

As shown in the figure below, two masses m1 = 5.10 kg and m2 which has a mass 60.0% that of m1, are attached to a cord of negligible mass which passes over a frictionless pulley also of negligible mass. If m1 and m2 start from rest, after they have each traveled a distance h = 2.40 m, use energy content to determine the following.   (a) speed v of the masses m/s(b) magnitude of the tension T in the cord N

A child of mass m = 29 kg slides down a slide of height h = 2.4 m without friction. Let gravitational potential energy be zero at ground level. Calculate the change in the child's potential energy, ΔU in joules, from the top to the bottom of the slide at ground level (i.e. ΔU = Uground - Utop).