A2 kg block is placed on a horizontal smooth table The block is held compressing a spring a distancex0.1 m. The table height is h05m above ground level Atet releane, the black talls distance R1m from tthe edge of the table The spring constant k in Nim is h O 2+10 O se10 Activate Windo
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Given:
The law of conservation of energy asserts that an isolated system's total energy remains constant throughout time; it is said to be conserved.
In a closed system, the energy of interacting bodies or particles remains constant. Kinetic energy, or energy of motion, was the first type of energy to be recognized. The total potential and kinetic energy are constant at all times.
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- A pop-up toy has a mass of 0.025 kg and a spring constant of 175 Newtons per meter. A Force is applied to the toy to compress the spring of 0.050 meters. The toy is activated and all the compressed springs potential energy is converted to gravitational potential energy. Calculate the maximum vertical height to which the toy is propelled.Solve using conservation of E. A 25 g ball, resting on a spring, compresses it 8.0 cm and is then launched up, reaching a height of 1.2m. Find k. Correct answer: 98 N/mQ2: A perfectly elastic spring requires 0.54 J of work to stretch 6 cm from its equilibrium position, what is its spring ?constant k
- 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?A student carries a backpack of 12N and moves horizontally 2 m. How much work is done by student? A. 0 J B. 24Nm C. 24 J D. 24 calorieTwo balls having different masses reach the same height when shot into the air from the ground. If there is no air drag, which of the following statements must be true? (More than one statement may be true.) A. Both balls left the ground with the same speed. B. Both balls left the ground with the same kinetic energy. C. Both balls will have the same gravitational potential energy at the highest point. D. The heavier ball must have left the ground with a greater speed than the lighter ball. E. Both balls have no acceleration at their highest point.
- A small box with mass m is released from rest by a spring compressed a 3. distance d. The spring constant is k. After being released, the object slides along a frictionless track. What is the speed of the box when it reaches point B at height h/2? What must be the value of d so that the box comes to rest at the top of the track at point C? Law B h m Application AThe most wonderful thing about Tiggers is that their tops are made out ofrubber and their bottoms are made out of springs. Suppose Tigger wants to reach some honey located a height ℎ above the ground. If Tigger has a mass of m and his tail has a spring constant of k, how much must he coil his tail in order to reach the honey? A. (mgh/k) B. = √(mgh/k) C. (2mgh/k)D. √(2mgh/k)E. None of theseUS-2 A spring has a force constant K=12.5N/m. a) Find the energy stored in the spring if it is stretched x₂-0.150m from its unloaded length. b) Find the energy stored in the spring if it is stretched x₁-0.300m from its unloaded length. c) Find U₁U₁, the ratio of the energies you found in parts a) and b). d) The ratio x/x₁ is 2/1. Why is this not the same as your answer for part c)?