In the figure below, block 1 of mass 1.00 kg slides from rest along a frictionless ramp from height h = 2.50 m and then undergoes an elastic collision with stationary block 2, which has a mass of 2.00 kg. After the collision, block 2 slides into a region where Hk = 0.500 for 1.50 meters and compresses a spring a distance of 5.00 cm. Determine the spring constant. You may assume that no energy is lost by friction as the block compresses the spring. - Frictionless
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- In the figure, a 4.2 kg block is accelerated from rest by a compressed spring of spring constant 650 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 k = 0.229. The frictional force stops the block in distance D = 8.3 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? - No friction (a) Number i Units (b) Number Units (c) Number i Units > > >Mechanic Physics: A block of mass m = 2.00 kg is dropped from height h = 57.0 cm onto a spring of spring constant k = 1250 N/m. Find the maximum distance the spring is compressed.A new event has been proposed for the next Winter Olympics. As seen in the figure below, an athlete will sprint 100 m, starting from rest, then leap on a 25.0 kg bobsled. The person and bobsled will then slide down a 50.0 m long ice-covered (frictionless) ramp, sloped at 20.0°, and into a spring with a carefully calibrated spring constant of 2000.0 N/m. The athlete who compresses the spring the farthest wins the gold medal. Lisa, whose mass is 40.0 kg, has been training for this event. She can reach a maximum speed of 12.0 m/s in the 100 m dash. How far will Lisa compress the spring? 20°
- 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 block with a mass m is initially compressing a spring by x1 on a horizontal floor with no friction. The spring has a spring constant k. The block is realeased from rest and travels a total distance of D including x1 and has a speed of v. what is the coefficent of kinetic friction between the floor and block?In this question you will use an energy approach to determine how the mass of a spring affects its motion. Normally we assume the spring has zero mass. But if we realize real springs have mass we can find the contribution to the kinetic energy of the system due to the motion of the spring. What makes this hard is that different parts of the spring move at different velocities. So, we must use a little calculus to find the result.Consider a vertical spring of mass m that has a mass M attached at its end. Let the position of the mass at the end of the spring relative to the point of attachment be given by Y and its velocity be given by V. a) What is the velocity of a small segment of the spring at the point of attachment? b) What is the velocity of a small segment of the spring right next to the moving mass? c) What is the velocity of a small segment of the spring that is exactly halfway between the top and the bottom? d) Now let the mass of the spring be m and…
- A bullet having mass of 0.002kg hits a stationary block of wood having a mass of 14kg. The coefficient of kinetic friction between the block and floor is 0.12, and the block slides 3mm on the floor as a result of impact. Compute the energy lost during the impact. Provide FBD. Thank yooou.A rubber ball, with a mass of 40.0 grams is dropped from rest from a height of 1.20 m above the floor. It hits the floor, and then reaches a maximum height of 80.0 cm when it comes back up again. In this problem, use g = 10.0 m/s2. (a) The collision with the floor causes some mechanical energy to be lost (this energy generally ends up as thermal energy). How much mechanical energy is lost in this case? (b) What is the ball's speed, just as it leaves the floor on its way up? m/s (c) What is the magnitude of the impulse experienced by the ball for the entire time it is in contact with the floor? kg • m/sA block of mass 5 kg has a speed of 2 m/s at a height h above a spring (spring constant k = 1000 N/m). If the spring is compressed by a max amount of 0.5 m, what is the max rebound height of the block?
- In the figure, a 2.8 kg block is accelerated from rest by a compressed spring of spring constant 620 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 -0.241. The frictional force stops the block in distance D-8.2 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? No frictionAs given in the figure below, a 4 kg block is accelerated from rest by a compressed spring of spring constant 320 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 uk=0.25. The frictional force stops the block in distance D=5 m. Find the original compression distance of the springA 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?