The figure shows an 8.4 kg stone at rest on a spring. The spring is compressed 12 cm by the stone. (a) What is the spring constant? (b) The stone is pushed down an additional 30 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?
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- 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?A spring that obeys Hooke's law is hung in a vertical orientation. The spring is stretched a total of 6.0 cm from its equilibrium length when a 2.0 kg mass hangs from it. The spring, mass system is then pulled downward by an external force which lengthens the spring an additional 10cm. While the spring is being extended what is the work done by the spring?In the figure, a block of mass m = 1.30 kg slides head on into a spring of spring constant k = 390 N/m. When the block stops, it has compressed the spring by 6.60 cm. The coefficient of kinetic friction between block and floor is 0.330. While the block is in contact with the spring and being brought to rest, what are (a) the work done by the spring force and (b) the increase in thermal energy of the block-floor system? (c) What is the block's speed just as the block reaches the spring?
- The 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 UnitsA 0.40 kg block can slide up and down a rough 10-m-high, 30-m-long slope. At the bottom, a stiff spring with spring constant 800 N/m is compressed 0.50 m and used to launch the block up the slope. The friction force on the block from the slope is 1.2 N. What is the speed of the block when it reaches the top of the slope? When apply the following energy principle to this question, assuming the system is block+earth+spring+slope, which of the energy term is positive? Select all apply. ΔK + ΔUg + ΔUsp + ΔEth + ΔEch = WexternalA spring is characterized by a spring constant of 60 N/m. How much potential energy does it store, when stretched by 1 cm ?
- In the figure, a block of mass m = 1.40 kg slides head on into a spring of spring constant k = 220 N/m. When the block stops, it has compressed the spring by 14.0 cm. The coefficient of kinetic friction between block and floor is 0.280. While the block is in contact with the spring and being brought to rest, what are (a) the work done by the spring force and (b) the increase in thermal energy of the block-floor system? (c) What is the block's speed just as the block reaches the spring? (a) Number (b) Number i i (c) Number i Units Units Units 4 ←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?Your 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 cm