A 6.0 kg box moving at 3.0 m/s on a horizontal, frictionless surface runs into one end of a light horizontal spring of force constant 75 N/cm that is fixed at the other end. Use the work–energy theorem to find the maximum compression of the spring.
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A 6.0 kg box moving at 3.0 m/s on a horizontal, frictionless
surface runs into one end of a light horizontal spring of force constant
75 N/cm that is fixed at the other end. Use the work–energy theorem to
find the maximum compression of the spring.
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- A 3.6 g marble is fired vertically upward using a spring gun. The spring must be compressed 2.9 cm if the marble is to just reach a target 18 m above the marble's position on the compressed spring. (a) What is the change AU in the gravitational potential energy of the marble-Earth system during the 18 m ascent? (b) What is the change AU in the elastic potential energy of the spring during its launch of the marble? (c) What is the spring constant of the spring? (a) Number (b) Number ogres (c) Number Units Units 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 = Wexternal Answers choices ΔK ΔUg ΔUsp ΔEth ΔEch WexternalIn 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?
- A 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 certain spring is found not to obey Hooke's law; it exerts a restoring force F(x) = -ax² - 6x³ if it is stretched or compressed, where: a = 10.0N/m², B = 300.0N/m³ The mass of the spring is negligible. Calculate the potential energy function U(x) for this spring, if U(x=0) = 0. Find the spring potential energy at x = 0.500 mYou took one of your physics books from your library (the one you took has a mass of 2.5 k) and you forced it against a horizontal spring of negligible mass and force constant 250 N/m, compressing the spring a distance of 0.250 m. When released, the book slides on a horizontal tabletop with coefficient of kinetic friction µK = 0.3. Use the work–energy theorem to find how far the book moves from its initial position before coming to rest. Use the work-energy theorem.
- Please asapIn 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 ←A can of beans that has mass M is launched by a springpowered device from level ground. The can is launched at an angle of a0 above the horizontal and is in the air for time T before it returns to the ground. Air resistance can be neglected. (a) How much work was done on the can by the launching device? (b) How much work is done on the can if it is launched at the same angle a0 but stays in the air twice as long? How does your result compare to the answer to part (a)?