If this piece of abductin is 3.8 mm thick and has a cross-sectional area of 0.60 cm², how much potential energy does it store when compressed 1.4 mm ?
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- A spring having elastic constant k is stretched by a distance x, and stores potential energy U. If it is only stretched by distance x/2 instead, it will store potential energy equal to what?A roller-coaster car of mass 1.50 × 103 kg is initially at the top of a rise at point Ⓐ. It then moves 35.0 m at an angle of 50.0° below the horizontal to a lower point Ⓑ. (a) Find both the potential energy of the system when the car is at points Ⓐ and Ⓑ and the change in potential energy as the car moves from point Ⓐ to point Ⓑ, assuming y = 0 at point Ⓑ. (b) Repeat part (a), this time choosing y = 0 at point Ⓒ, which is another 15.0 m down the same slope from point Ⓑ.Suppose that in one year a country produces 2.77 × 10'' kilowatt-hours (kWh) of electrical energy from 4148 hydroelectric plants (1.00 kWh = 3.60 × 10° J). On average, each plant is 90.0% efficient at converting mechanical energy to electrical energy, and the average dam height is 50.0 m. At 2.77 x 10!1 kWh of electrical energy produced in one year, what is the average power output Payg per Pavg W %3D hydroelectric plant? What total mass of water m flowed over the dams during that year? m = kg What was the average mass of water mavg per dam that provided the mechanical energy to generate the electricity? mavg kg What was the average volume of water Vavg per dam that provided the mechanical energy to generate the electricity? (The density of water is 1000 kg/m³.) Vavg m %3D A gallon of gasoline contains 4.50 × 10' J of energy. How many gallons n of gasoline did the 4148 dams save? n = gal MacRook Pro
- What is the total energy stored by C 3 when C 1 = 50 μF, C 2 = 30 μF, C 3 = 50 μF, C 4 = 12 μF, and V 0 = 36 V? A = 23mJ B= 8.6 mJ C = 6.5 mJ D= 16mJ E= 10mJThis figure shows a mass (1kg) on a spring, with a spring constant of 550N/m, that is compressed 10cm to the left of its equilibrium position. Immediately to the right of the equilibrium position, there is a region where a frictional force is present. This force is dependent on the position as show in the figure. The region extends 4cm to the right of the equilibrium position. a) What is the initial total energy of the system? b) After release, what is the speed of the block at 5cm to the left of the equilibrium position?A box with mass 1.78 kg is being pulled across a rough surface with a coefficient of kinetic friction Hk = 0.398. The pulling force has a magnitude %D of 14.5 N and is directed at an angle 20.4 degrees above horizontal. If the box is dragged a distance of 10.8 m, what is the total energy lost to friction? (Hint: be sure to account for the upward component of the pulling force.) Image size: s ML Max F 9. m Dlogno ont mote oro
- Compute the work performed in moving a particle al ong the path r(t) = (r*,te,2-t) for 0St54 by the force field F = {cos z,yz,(x+y)*}. Include a plot of the path and the force field on the same axis.Under normal conditions the human heart converts about 12.7 J of chemical energy per second into 1.27 W of mechanical power as it pumps blood throughout the body HINT (a) Determine the number of Calories required to power the heart for one day, given that 1 Calorie equals 4186 J. Cal (b) Metabolizing 1 kg of fat can release about 9000 Calories of energy. What mass of metabolized fat (in kg) would power the heart for one day? kg Need Help? Watch it Read ItIn the figure, a 3.97 g ice flake is released from the edge of a hemispherical bowl whose radius ris 13.7 cm. The flake-bowl contact is frictionless. (a) How much work is done on the flake by the gravitational force during the flake's descent to the bottom of the bowl? (b) What is the change in the potential energy of the flake-Earth system during that descent? (c) If that potential energy is taken to be zero at the bottom of the bowl, what is its value when the flake is released? (d) If, instead, the potential energy is taken to be zero at the release point, what is its value when the flake reaches the bottom of the bowl? (a) Number (b) Number -5.34e-3 (c) Number 5.34e-3 (d) Number 5.34e-3 Units Units Units Ice flake- Mik Units J
- A pumped-storage reservoir sits 144 m above its generating station and holds 7.0×109 kg of water. The power plant generates 341 MW of electric power while draining the reservoir over an 6.1 h period. What fraction of the initial potential energy is lost to nonconservative forces (i.e., does not emerge as electricity)?The potential energy function for either one of the two atoms in a diatomic molecule is often approximated by U(x) = −a/x12 − b/x6 where x is the distance between the atoms. (a) At what distance of seperation does the potential energy have a local minimum (not at x = ∞)? (b) What is the force on an atom at this separation? (c) How does the force vary with the separation distance?1. Two persons were practicing social distancing to alleviate the spread of COVID-19. Social distancing requires a minimum of 3 feet distance from person to person. However, due to their eagerness to share some rumors, the two persons decided to approach each other and now within the intimate distance (12 inches). If person A weighs 60 kg. and person B weighs 68 kg, determine the work done for this act. Take G = 6.67408 x 10-11 m³ kg¬'s-2. A. 6.8076 ergs B. 8.0766 ergs C. 5.9559 ergs D. 5.5599 ergs 2. Find the moment of mass from the x-axis for y = x In(x) – 3x and y = 1 bounded by x = 3 and x = 6. The surface density is equal to 0.37 kg/units'. A. 24.0793 kg. В. -38.6209 kg C. 27.8043 kg. D. -36.8902 kg. 3. In 2019, SCUBA divers from Mexico explores the Atlantic Ocean (64 lb/ft) and finds a circular clock thought to be the ancient remnants of the legendary Atlantis. If the clock measures 1.3 ft. in diameter and depth is measured to be 1250 ft. from the surface to the center of this…