Two marbles of masses mand 2mare dropped from a height h. Compare their kinetic energies when they reach the ground.
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- A 80 kg man runs up a a flight of stairs with a height of 10 meters in 10 seconds. calculate how much power his body was able to generate during his ascent, and enter that value as your answer to part. Enter your result in units of watts, but for comparison you might want to remember that one horsepower is 745.7 watts.A toad with mass of 180 g leaps into the air to catch a fly. If the toad's jump was at an angle of 35 degrees with respect to the horizontal, and with an initial velocity of 2.9 m/s, what is its kinetic energy (in Joules) when it reaches its maximum vertical displacement?Pick out the only vector quantity in the following list: Temperature, pressure, impulse, time, power, total path length, energy, gravitational potential, coefficient of friction, charge.
- A 9.40 kg projectile is fired vertically upward. Air drag decreases the mechanical energy of the projectile–Earth system by 68.0 kJ during the projectile’s ascent. How much higher would the projectile have gone were air drag negligible?In a hydroelectric dam, water falls 35.0 m and then spins a turbine to generate electricity. What is ΔU of 1.0 kg of water? Suppose the dam is 80% efficient at converting the water's potential energy to electrical energy. How many kilograms of water must pass through the turbines each second to generate 49.0 MW of electricity? This is a typical value for a small hydroelectric dam.(Figure 1) is the energy bar chart for a firefighter sliding down a fire pole from the second floor to the ground. Let the system consist of the firefighter, the pole, and the earth. Suppose E1 = 16 J. A.) What is the bar height of Wext? B.) What is the bar height of Kf?
- Time yourself while running up a flight of steps, and compute the average rate at which you do work against the force of gravity. Express your answer in watts and in horsepower.. A 920-kg vehicle whose motor delivers a maximum power of 40.0 hp to its wheels canmaintain a steady speed of 140 km/h on a horizontal roadway. How large is the friction force that impedes its motion at this speed?You are biking along a country road whenyou reach the base of a bridge travelling at 5.00 m/s. At the top of the bridge you have climbed a vertical distance of 5.20 m and have slowed to 1.50 m/s. Ignore any work done by friction or any inefficiency in the bike or your legs. (a) What is the total work done on you and your bike in going from the base of the bridge to its topif the total mass of you and your bike is 80.0 kg? (b)How much work have you done with the force you apply to the pedals?
- At a circus a performer weighing 90kg is shot from a cannon vertically into the air at 45 m/s. To avoid killing the performer a bar must be hung so that they can grab it at the highest point of their launch. Where should the bar be placed? (Solve using conservation of energy)In the bottom of the ninth inning, a player hits a 0.15-kg baseball over the outfield fence. The ball leaves the bat with aspeed of 36 m>s, and a fan in the bleachers catches it 7.2 m above the point where it was hit. Assuming frictional forcescan be ignored, find (a) the kinetic energy of the ball and (b) its speed just before it’s caught.With what initial speed must an object be projected vertically upward from the surface of Earth to rise to a maximum height equal to Earth’s radius? (Neglect air resistance.) Apply energy conservation.