of 0.80 № acts 16. A rifle bullet of mass 10.0 g strikes and becomes embedded in a wooden block of mass 490 g, which is at rest on a horizontal. frictionless surface and is attached to a spring bumper, as shown. The impact compresses the spring, whose force constant is 100 N/m, by 20 cm. (a) What is the maximum potential energy of the spring? (b) Determine the velocity with which the block and bullet first begin to move. (c) What was the initial velocity of the bullet?
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- A moving 2.90 kg block collides with a horizontal spring whose spring constant is 327 N/m.The block compresses the spring a maximum distance of 12.00 cm from its rest position. The coefficient of kinetic friction between the block and the horizontal surface is 0.400. What is the work done by the spring in bringing the block to rest? How much mechanical energy is being dissipated by the force of friction while the block is being brought to rest by the spring? What is the speed of the block when it hits the spring?(a) The figure below shows an 8.00 kg stone at rest on a spring. The spring is compressed 10.0 cm by the stone. (a) What is the spring constant? (b) The stone is pushed down an additional 30.0 cm and released. What is the elastic potential energy of the compressed spring just before that release? (c) What is the change in the gravi- tational 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? 00000A 5 kg block starts from rest at point A at the top of a 3 m long frictionless ramp angled at 40° above the horizontal. The block slides down the ramp and enters a rough horizontal surface between point B and point C with a coefficient of kinetic friction of 0.30. The block travels a distance of 1.00 m on the horizontal surface before running into a light spring with a spring constant of 900 N/m. A 40.0⁰ hitting the spring. 1.50 m B 1.00 m k = 900 N/m wwwww What is the total energy at point A? What about at point B? What is the speed of the block at point B? What is the total work done on the block as it slides across the rough horizontal surface. Using the work-energy theorem, find the speed of the block at point C right before How far will the block compress the spring before coming to rest?
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- In the figure, a 2.6 kg block is accelerated from rest by a compressed spring of spring constant 660 N/m. The block leaves the spring at the spring's relaxed length and then travels over a horizontal floor with a coefficient of kinetic friction -0.272. The frictional force stops the block in distance D 7.9 m. What are (a) the increase in the thermal energy of the block-floor system, (b) the maximum kinetic energy of the block, and (c) the original compression distance of the spring? DURRES No frictionA large block with a mass of 8.5 kg slides along a horizontal surface without friction. The block runs into ahorizontal spring with a spring constant of 260 N/m and compresses the spring by 50 cm before coming to astop.(a) How fast is the block moving when it just hit the spring?(b) What is the potential energy of the spring, the kinetic energy of the block, and the total mechanicalenergy of the system when the block is halfway to its stopping position?A spring is compressed 0.100 m and launches a 3.25 kg object across frictionless ice. After some distance, the object hits a rough patch of ice where the coefficient of kinetic friction of the object on the surface is 0.200. If the spring constant of the spring is 137 N/m, find the distance the object travels across the rough patch of ice using work and energy.
- In the figure, a spring with spring constant k = 180 N/m is at the top of a frictionless incline of angle e = 38°. The lower end of the incline is distance D = 0.92 m from the end of the spring, which is at its relaxed length. A 1.5 kg canister is pushed against the spring until the spring is compressed 0.22 m and released from rest. (a) What is the speed of the canister at the instant the spring returns to its relaxed length (which is when the canister loses contact with the spring)? (b) What is the speed of the canister when it reaches the lower end of the incline? (a) Number UnitšTm/s (b) Number Unitsm/s Click if you would like to Show Work for this question: Open Show Work Question Attempts: Unlimited SAVE FOR LATER SUBMIT ANSWER 10:37 PM ENG e to search 4/4/2021 13) 19home & 7. LEGO 08. 9. E R. YA box of mass 2.0 kg, traveling horizontally, hits an uncompressed spring with an initial velocity, Vo, and compresses the spring to a maximum distance of 0.05 meters (at the maximum distance the box stops). The value of the spring force constant is k= 50 N/m. There is no friction in the system. Use the work-energy theorem (chapter 6) to find the initial velocity, Vo, of the box.A spring (k = 190 N/m) is fixed at the top of a frictionless plane inclined at angle 0 = 34°. A 1.4 kg block is projected up the plane, from an initial position that is distance d = 0.90 m from the end of the relaxed spring, with an initial kinetic energy of 28 J. (a) What is the kinetic energy of the block at the instant it has compressed the spring 0.10 m? (b) With what kinetic energy must the block be projected up the plane if it is to stop momentarily when it has compressed the spring by 0.50 m? 8