c. If the total energy of the system always remains the same, explain how the gravitational potential and the kinetic energy of the object can be changing? Your answer here
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- Consider a system of a cliff diver and the earth. The gravitational potential energy of the system decreases by 23,000 J as the diver drops to the water from a height of 44.0 m. Determine her weight in newtons. Nm. m A mass m, = 4.1 kg rests on a frictionless table and connected by a massless string over a massless pulley to another mass m, = 3 kg which hangs freely from the string. When released, the hanging mass falls a distance d = 0.83 m. 1) How much work is done by gravity on the two block system? 2) How much work is done by the normal force on m,? 3) What is the final speed of the two blocks? 4) How much work is done by tension on m,? 5) What is the tension in the string as the block falls? 6) The work done by tension on only m, is: O posítive zero negativec) Figure 1 shows a small cart of mass 5 kg moving on the frictionless track with a speed of 10 ms¹ along AB, down to C, and climbing up to D and E. Calculate: i. ii. iii. A 10 m s B 5 m 2 m Figure 1 The kinetic energy of the cart as it moves along AB. The speed of the cart at point C. The kinetic energy of the cart as it moves along DE. D E
- 1. A roller-coaster car with a mass of 1200 kg starts at rest from a point 20 m above the ground. At point B, it is 9 m above the ground. [Express your answers in kilojoules (kJ).] a. What is the initial potential energy of the car? b. What is the potential energy at point B? c. If the initial kinetic energy was zero and the work done against friction between the starting point and point B is 40 000 J (40 kJ), what is the kinetic energy of the car at point B 2. The time required for one complete cycle of a mass oscillating at the end of a spring is 0.80 s. What is the frequency of oscillation?The potential energy of an interaction is given by U(x)=ax², where a = +6.4 J/m². Initial speed of a 0.79-kg object in this system is 2.63 m/s at x = 0. A. How far does the object travel before it reaches a speed of v = 0? Express your answer with the appropriate units. B. Does your answer in the previous part depend on whether the object is traveling in the positive or negative direction? Yes, the answer in the previous part is for the object traveling in the negative x� direction, the distance for the object traveling in the positive x� direction is greater than the obtained result. Yes, the answer in the previous part is for the object traveling in the positive x� direction, the distance for the object traveling in the negative x� direction is greater than the obtained result. No, it does not depend on whether the object is traveling in the positive or negative x� direction.Bugs Bunny (m=32 kg) starts at rest atop a h;=33 m tall hill, and then slides down. After that, Bugs: I.) slides into a swing set at the bottom of the hill, which has a R = 11 m long chain. He swings up and over the bar, with the chain managing to stay taut. (Labelled points A, B & C are at the bottom, side and top of the loop respectively.) II.) continues on flat ground, where he then hits a friction patch which is L=41.25 m long, from which he exits (at labelled point D) at speed vD = 17.98 m/s. III.) slides off a cliff that is hp=17 m tall, into a lake. h, D R Part I: (around the swing set) a.) Sketch in the correct directions of all forces that act on Bugs at each of the points A-C. Note: At point A, Bugs has already lifted his feet off the ground. B