Calculate the potential energy PE of the compressed spring.
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- A block with a mass of 500g is pushed along a table to give It an initial speed of 3,00 m/s. It moves down the table and comes in contact with a spring, which it compresses the block then comes to a stop. The block moves a distance of 1.20 m between where the pushing force stops and where it is stopped by the spring. The has a spring constant of 150n/m. If the coefficient of kinetic friction between the block and table is 0.160 , how much is the spring compressed (in meters) when the block stops?If a spring compressed by 76 cm contains 2.4 J of potential energy, what is the spring constant (k) for that spring? Express your answer in N/m.A pogo stick has a spring with a force constant of 2.50 x 10^4 cm, which can be compressed 10.4cm. What is the maximum height in meters above the compressed position of the spring, can a child jump with the stick using only the maximum elastic potential energy in the spring, if the child and stick have a combined mass of 35 kg?
- Current Attempt in Progress In the block-spring arrangement of the figure, the block's mass is 5.40 kg and the spring constant is 630 N/m.The block is released from position x₁ = 0.200 m.What are (a) the block's speed at x = 0, (b) the work done by the spring when the block reaches x = 0, (c) the instantaneous power due to the spring at the release point x₁, (d) the instantaneous power at x = 0, and (e) the block's position when the power is maximum? (a) Number i (b) Number i (c) Number i (d) Number i (e) Number i x=0 F=0 00000000 x positive F negative 000000 Units Units Units Units Units Block attached to springA 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.A compressed spring has the potential energy of 20 J and its spring constant is 200 N/m. Calculate the displacement or extension of the spring.
- A 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.An ideal spring has the spring constant k = 440. N/m. Calculate the distance this spring must be stretched from its equilibrium position for 25.0 J of work to be done.In the Hunger Games movie (https://openstaxcollege.org/l/21HungGamesclip) , Katniss Everdeen fires a 0.0200-kg arrow from ground level to pierce an apple up on a stage. The spring constant of the bow is 330 N/m and she pulls the arrow back a distance of 0.55 m. The apple on the stage is 5.00 m higher than the launching point of the arrow. At what speed does the arrow (a) leave the bow? (b) strike the apple?
- A pogo stick has a spring with a spring constant of 2.5 × 104 N/m, which can be compressed 12.0 cm. To what maximum height from the uncompressed spring can a child jump on the stick using only the energy in the spring, if the child and stick have a total mass of 40 kg?A 1.6 kg breadbox on a frictionless incline of angle 0 = 35° is connected, by a cord that runs over a pulley, to a light spring of spring %3D constant k = 10O N/m, as shown in the figure. The box is released from rest when the spring is unstretched. Assume that the pulley is massless and frictionless. (a) What is the speed of the box when it has moved 10.7 cm down the incline? (b) How far down the incline from its point of release does the box slide before momentarily stopping, and what are the (c) magnitude and (d) direction of the box's acceleration at the instant the box momentarily stops? (a) Number Unit (b) Number i Unit (c) Number Unit (d) > > >need Answer only for (d)