The graph below shows the time dependence of the vertical displacement of a lead ball with marked initial and final states. Positive-y points away from the Earth's surface. Which work-energy bar chart represents this process for a system consisting of the ball and Earth? y t 3 K₁ U₁₂: W U₂ W K₂₂ US₂ Aint K₂ U₂ 4int 2 4 K U₂ K₁ Ug₁ Us W اندلا W K₂ U₂ Usz AU N₂
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- Consider a situation where you carry a 20-N box up a flight of stairs, raising its elevation by 5 m. When the box hits the floor its kinetic energy is converted into internal energy. O True False O IIA graduate student leaves a cylinder of carbon dioxide sitting in the sun. The cylinder absorbs 25.2 J of energy while sitting in the sun. A piston in the cylinder moves upward. The carbon dioxide did 12 J of work on the piston to move it upward. Find the change in internal energy of the carbon dioxide.I Review I Constants An ideal spring stores potential energy Uo when it is compressed a distance xo from its uncompressed length. sS Part C In terms of xo , how much must the spring be compressed from its uncompressed length to store twice as much energy? Express your answer in terms of xo. nν ΑΣφ ? Submit Request Answer Part D In terms of xo, how much must the spring be compressed from its uncompressed length to store half as much energy? Express your answer in terms of x0. ?
- A student evaluates a weight loss program by calculating the number of times she would need to climb a 10.0 m high flight of steps in order to lose one pound (0.45 kg) of fat. Metabolizing 1.00 kg of fat can release 3.77 x 10'J of chemical energy and the body can convert about 21.2% of this into mechanical energy (the rest goes into internal energy.) HINT (a) How much mechanical energy (in J) can the body produce from 0.450 kg of fat? (b) How many trips up the flight of steps are required for the 52.0 kg student to lose 0.450 kg of fat? Ignore the relatively small amount of energy required to return down the stairs. trips Need Help? Read It Watch ItLet W = (2.70 ✕ 105 J) ln(Vf /Vi). Solve for the unknown quantity in each of the following cases: (a) the final volume Vf is three times the initial volume Vi W= ______Joules (b) the initial volume is 1.00 m3 and the work W is 3.25 ✕ 105 J Vf = ______ m3A 0.5 kg block slides on a rough horizontal table top. Just before it hits a horizontal ideal spring its speed is 4.28 m/s. It compresses the spring 3.59 cm before coming to rest. If the spring constant is 1673.75 N/m, the internal energy of the block and the table top, during the spring compression, must have increased by: a. -4.53 J b. -0.86 J c. -3.50 J d. -5.13 J
- Part III: Open Response Springs and ropes are ideal. g=10m/s U(x) (joules) 2 1 3 4 5 6. 7 x (meters) The above graph shows the potential energy U(x) of a 0.1 kg object as a function of its position x. Suppose the object has a constant total energy of 4.0 joules, as shown by the dashed line on the graph. 7. (a) Label all points of stable equilibrium and unstable equilibrium on the graph. (b) What happens to the speed of the object as it moves from 2m to 4m? (c) Can the object reach the position x = 0.5 m? Explain. (d) What is the velocity and the acceleration of the object at x = 6.0 m?With friction: For the car, what is the speed at the top of the loop (point D) if 4% of the total energy has been transformed into unusable heat energy from friction up to that point? m= 500. kg E Initial Velocity at point A = 1.5m/s 60 m D hmaxAfter finishing 2 fried eggs, a sausage, and a cup of latte as breakfast at 8:30 am, Nancy starts biking at constant speed of 15 km/h. Food Energy content in Cal Fried egg 100 Sausage 286 Latte 260 Big apple 125 Slice of 380 pepperoni pizza 12 oz soda 160 Activity Metabolic power (W) Cycling at 15 km/h 400 Walking at5 km/h 280 a) What time Nancy will use up all the intake energy due to biking? b) If Nancy decide to walk back at 5 km/h for an hour then bike at 15 km/h, how many slice of pizza she needs to eat together with a can of 12 oz soda and a big apple as lunch?
- Please answer within 90 minutes.A typical avocado has 180 Calories. If all this energy could be used to lift a bucket of water weighing 40 N, through what vertical distance could the bucket be lifted? (1 calorie = 4.184 J and 1 Calorie = 103 calories) a. 1.72E+6 m b. 3.01E+7 m c. 7.53E+5 m d. 1.88E+4 mWhat 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 87 kg man who climbs 5.41 km? Assume that the average g for the climb is 9.80 m/s². Number i Units