College Physics
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An ideal spring has a spring constant k = 25.6 N/m. What is the amount of work that must be done to stretch the spring 0.520 m from its relaxed length?
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- Truck suspensions often have "helper springs" that engage at high loads. One such arrangement is a leaf spring with a helper coil spring mounted on the axle, as shown in the figure below. When the main leaf spring is compressed by distance yo, the helper spring engages and then helps to support any additional load. Suppose the leaf spring constant is 4.80 x 10° N/m, the helper spring constant is 3.80 x 10° N/m, and Y. = 0.500 m. Truck body -"Helper" spring Main leaf spring Axle (a) What is the compression of the leaf spring for a load of 5.10 x 10° N? 0 81 (b) How much work is done in compressing the springs? 1 34 Your response differs significantly from the correct answer. Rework your solution from the beginning and check each step carefully. J Need Help? Read Itarrow_forwardYou have a spring of spring constant k, and a block of mass 0.200 kg. You set the spring up vertically and compress the spring 0.300 m. It launches the block up to a max height of 2.20 m. What is the spring constant?arrow_forwardA 0.90 kg brick compresses a spring 0.35 meters at point A and the spring has a spring constant of 75 N/m. How much elastic potential energy does the brick possess? A В hA = 0 he = 0 VA = 0 Vв > 0 A 3.20 Joules 984 Joules 4.59 Joules 675 Joules O O O Oarrow_forward
- The spring in a retractable ballpoint pen is 1.8 cm long, with a 320 N/m spring constant. When the pen is retracted, the spring is compressed by 1.0 mm. When you click the button to extend the pen, you compress the spring by an additional 5.0 mm. How much energy is required to extend the spring?arrow_forwardAnswer parts a, b and c of the following question.7. a) You want to store 1,000 J of energy in an ideal spring when it is compressed by only 2.5 cm. What should be the force constant (spring constant) of this spring? b) A very light ideal spring having a spring constant (force constant) of 8.2 N/cm is used to lift a 2.2-kg tool with an upward acceleration of 3.25 m/s2. If the spring has negligible length when it us not stretched, how long is it while it is pulling the tool upward? c) How fast must a 6.0-kg cat run to have a kinetic energy of 150 J?arrow_forwardThe figure shows an 7.9 kg stone at rest on a spring. The spring is compressed 11 cm by the stone. (a) What is the spring constant? (b) The stone is pushed down an additional 26 cm and released.What is the elastic potential energy of the compressed spring just before that release? (c) What is the change in the gravitational potential energy of the stone-Earth system when the stone moves from the release point to its maximum height? (d) What is that maximum height, measured from the release point? (a) Number Units (b) Number i Units (c) Number i Units (d) Number i Unitsarrow_forward
- A mouse is on a crazy roller coaster which has five distinct phases. The mouse in his roller coaster car has a mass of 6 kg. The mouse starts the coaster by being pulled back 0.2 m into a spring with a spring constant of 1890 N/m. How much elastic potential energy does the mouse have as he starts his ride? After the spring is released, the mouse travels over the first hill, effectively coming to rest at the top. Calculate the height of the first hill? He then speeds into a valley. At the bottom of the valley 3 J of energy is lost due to friction. What is his total remaining energy after he travels through the valley? The mouse then travels over a 0.10 m hill. How fast is the mouse traveling over the hill at point D? The mouse finally makes it to the final phase of the ride, where he will race along at ground level. How fast is he traveling at point E?arrow_forwardA spring has a relaxed length of 6 cm and a stiffness of 100 N/m. How much work must you do to change its length from 5 cm to 9 cm?arrow_forwardA spring rests at a length of 0.5 m and is pulled to a length of 2 m. It has a spring constant of 3 N/m. What is the Eel of the spring when stretched?arrow_forward
- Suppose a stretched spring is used to supply power to a light bulb. The spring has a spring constant k=34.0 N/m and is stretched from its equilibrium length (which is the length where the spring force is zero) by a length 2.24 m. If the spring returns to its equilibrium length in 55.3 seconds, what is the average power in Watts that could be transferred from the spring to the light bulb?arrow_forwardYour answer is partially correct. The figure shows an 7.8 kg stone at rest on a spring. The spring is compressed 9.9 cm by the stone. (a) What is the spring constant? (b) The stone is pushed down an additional 26 cm and released.What is the elastic potential energy of the compressed spring just before that release? (c) What is the change in the gravitational potential energy of the stone-Earth system when the stone moves from the release point to its maximum height? (d) What is that maximum height, measured from the release point? (a) Number 172 Units N/m (b) Number 49.75 Units J (c) Number 79.75 Units (d) Number 64.7 Units cmarrow_forward
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