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 64.0 km3 (mass = 6.40 ✕ 1013 kg), given that the lake has an average height of 36.0 m above the generators? J (b) Compare this with the energy stored in a 9-megaton fusion bomb. Elake/Ebomb =

Q: ohn, of mass 82.4 kg can do work for about 2.0 minutes at the rate of 1.0 hp. How long will it take…

A: Given data: Mass (m) = 82.4 kg Power (P) = 1.0 hp Height (h) = 12.0 m 1 hp = 746 watts Required:…

Q: On an essentially frictionless, horizontal ice rink, a skater moving at 6.0 m/sm/s encounters a…

A: Given initial speed= 6m/s Final speed = 2.88m/s Friction force = 0.22Mg = 2.2M Change in kinetic…

Q: Suppose 65 passengers with an average mass of 75kg are transported by a ski lift to a height of…

A: Given: The number of passengers: n = 65. The average mass of a passenger: m = 75 kg. The height…

Q: During a long-distance race, a runner weighing 60.6 kg travels at a speed of 3.10 meters per second.…

A:

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A: Given: The mass (m) of the sprinter is 68.2 Kg. The distance (S) covered by the sprinter is 7.04 m.…

Q: How much work does gravity do on a 2.5-mg raindrop as the drop falls to the ground from a cloud 2200…

A: Answer              5.39*10-5 J

Q: A drone of mass 1.4 kg is flying across the sky 64 m above ground at the speed of 19 m/s   I fyou…

A:

Q: Assume g= 9.8 m/s² near the surface of the Earth. Traveling in a mountainous area, a bus of mass 3…

A:

Q: While rearranging a dorm room, a student does 323 J of work in moving a desk 2.6 m. What was the…

A: Ans:-  Work:- The work done by a constant force acting on an object is equal to the displacement…

Q: Ten days after it was launched toward Mars in December 1998, the Mars Climate Orbiter spacecraft…

A:

Q: A toad with mass of 188 g leaps into the air to catch a fly. If the toad's jump was at an angle of…

A: Given: Toad's mass, m=188 g=0.188 kg Toad's jumping angle w.r.t horizontal, θ=35° Initial velocity,…

Q: The “Green Monster” is the name for the left-field wall at Fenway Park and is 11.33 m tall.  How…

A: The expression for gravitational potential energy Ep=mgh

Q: A mouse of mass 200 g falls 120 m down a vertical mine shaft and lands at the bottom with a speed of…

A: Mass of mouse , MA = 200 g = 0.2 kg Depth , d = 120 m  speed , v = 8.5 m/s   To find = work done on…

Q: What average mechanical power (in W) must a 61.5 kg mountain climber generate to climb to the summit…

A: The mechanical power of the climber can be found as, Here, W and t represent the work-done and…

Q: At the local ski slope, an 82.0-kg skier rides a gondola to the topof the mountain. If the lift has…

A:

Q: A roller coaster cart of mass m = 241 kg starts stationary at point A, where h1 = 39.4 m and a while…

A: The potential energy of the car at A relative to the ground is given by, UA=mgh1

Q: In the figure below, a horizontal force Fa of magnitude 22.0N is applied to a 2.57 kg psychology…

A:

Q: Two skiers, with masses of 72 kg and 58 kg, are at the top of a ski hill.  The altitude at the top…

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Q: A mass of 47 kg is moving horizontally as a force of 190 N, directed at 25° below the horizontal, is…

A:

Q: The mass of 1 cubic meter of fresh water at the top of a 100 m hydroelectric dam is 1,000 kg and it…

A: Given: The mass of the water is m=1000 kg. The height of the dam is h=100 m. The volume of water is…

Q: What would be the power output in hp of a 1750 kg car if it can ascend to the top of a 285 m high…

A: Take the bottom of the hill to be at height zero. The potential energy of the car at the bottom of…

Q: At what rate is the gravitational force on a 2.0kg projectile doing work at the instant this…

A: Given : Mass of a projectile (m) = 2.0 kg Speed (v) = 4 m/s Angle (θ) = 30°

Q: As a part of a charity fund-raising drive, a marathon runner with mass of 75 kg runs up the stairs…

A: Work done required for mass m to climb height h will be against gravity. Wreq = mgh we Also know,…

Q: You drag your 30 kg suitcase 1200 m thru the Chicago airport at essentially constant velocity 2.0…

A: Given: Mass, M = 30kg Distance , s= 1200m Velocity, v = 2.0m/s Force, F = 90N, 20o westward

Q: An accelerating object of mass m=20 kg is fired with an initial speed v;=7 m/s at a starting point.…

A:

Q: How much work must you do to push a 13 kgkg block of steel across a steel table at a steady speed of…

A: Given: The mass of the block is 13 kg. The constant speed of the object is 1.3 m/s. The coefficient…

Q: The mass of 1 cubic meter of fresh water at the top of a 100 m hydroelectric dam is 1,000 kg and it…

A: potential energy = 980000 Joules mass = 1000 kg using conservation of energy initial potential…

Q: A record was set for stair climbing when a man ran up the 2300 steps of the Empire State Building in…

A: Average power output is,

Q: complete with camping equipment, has a mass of 85 kg In exactly 1.5 h, she climbs from an elevation…

A: Given mass = 85 kg Time t = 1.5 hr Height h1= 2700 m Height h2 = 3800 m

Q: A 2.00 kg block is released from rest on a ramp that is inclined at an angle of 60.0∘∘ below the…

A: mass of block = 2 kg θ = 60o below the horizontal Initial height (h) = 2 m initial velocity on the…

Q: The Grand Coulee Dam is 1270 m long and 170 m high. The electrical power output from generators at…

A: Solution: Determine the electric power produced per cubic meter of water due to potential energy.…

Q: A spring with k = 15 N/m with equilibrium length 30 cm is attached vertically to a surface and then…

A: K = 25 N/m  L = 30cm  M= 0.2kg

Q: Find his power output, in watts, for the work he does against the gravitational force and air…

A: a) Analyze the following figure. Since the skier is moving at a constant speed, its acceleration…

Q: Given: A tennis ball of mass m = 0.063 kg is thrown straight up with an initial speed v0 = 7 m/s.…

A:

Q: What minimum horsepower must a motor have to be able to drag a 380 kg box along a level floor at a…

A: The frictional force acting between box and floor is, F=μmg             (I)…

Q: A 55-kg marathon runner runs up the stairs to the top of Taguig’s 318-m Grand Hyatt Manila, the…

A: Mass of the runner M=55 kg The height reached h=318 m The time taken t=20 minutes=20×60 s=1200 s…

Q: that

A: Given, Mass(M)=13 kg. Displacement=65 cm=65/100 m=0.65 m. g=9.8 m/s²

Q: What average mechanical power (in W) must a 72.0 kg mountain climber generate to climb to the summit…

A: Given :      Mass of the climber, m = 72 kg      Height of the hill, h = 345 m      time taken, t =…

Q: What is the average useful power output (in w) of a person who does 6.80 x 106 J of useful work in…

A: Given: Work done by the person, W = 6.80 × 106 J time taken to complete it, t = 7.60 h = 7.60 h ×…

Q: Given: A shooting guard throws a basketball m = 1 kg straight up with an initial speed of v0 = 5.5…

A: Given - m=1kg vo=5.5m/s  ho= 1.95m Gravitational potential energy be zero at ground

Q: What average mechanical power (in W) must a 70.5 kg mountain climber generate to climb to the summit…

A: Write the given values with suitable variables. m=70.5 kgh=305 mt=47 min=47×60 s=2820 s Here, m, h,…

Q: As part of a charity fund-raising drive, a Chicago marathon runner of mass 50.0 kg runs up the…

A: Given data:  Mass of runner (m) = 50.0 kg Height of building (h) = 443 m Time (t) = 15.0 minutes…

Q: The horizontal and vertical velocity components of a 2.0 Kg projectile are Vh = 30 m/s and Vv = 40…

A:

Q: What average mechanical power (in W) must a 60.0 kg mountain climber generate to climb to the summit…

A: solution as

Q: What is the power output for a 60.0-kg woman who runs up a 3.00 m high flight of stairs in 3.50 s,…

A: The mass of the woman is m=60 kg. The height is h=3 m. The time is t=3.50 s. The final speed is vf=2…