A block of mass 2 kg is moving on a horizontal frictionless surface with velocity of 1 m/s, towards another block of equal mass initially at rest connected to spring. The other end of spring is fixed to the support. If the spring constant of the spring is 100 N/m, the maximum compression in the spring is
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- An elastic cord is 66 cmcm long when a weight of 73 NN hangs from it but is 87 cmcm long when a weight of 190 NN hangs from it.What is the "spring" constant kk of this elastic cord?A spring with a spring constant of 383 N/m is initially compressed by a distance of 0.076 m from its equilibrium position. A mass of 0.038 kg is then held against the compressed spring and released from rest while upon a horizontal, frictionless surface. Assuming that the spring then pushes the mass across the surface, with speed does the mass leave the spring? Assume proper SI Units.A mass of 0.4 kg is held against compressed spring and released from rest while upon a horizontal, frictionless surface. The spring constant of the spring is 890 N/m and the mass leaves the spring with a speed of 7.51 m/s. Assume that the spring pushes the mass across the surface. By what amount was the spring initially compressed relative to its equilibrium position?
- A 1.005 m chain consists of small spherical beads, eachwith a mass of 1.00 g and a diameter of 5.00 mm, threaded on an elasticstrand with negligible mass such that adjacent beads are separated bya center-to-center distance of 10.0 mm. There are beads at each end ofthe chain. The strand has a spring constant of 28.8 N/m. The chain isstretched horizontally on a frictionless tabletop to a length of 1.50 m,and the beads at both ends are fixed in place. (a) What is the linear massdensity of the chain? (b) What is the tension in the chain? (c) With whatspeed would a pulse travel down the chain? (d) The chain is set vibratingand exhibits a standing-wave pattern with four antinodes. What isthe frequency of this motion? (e) If the beads are numbered sequentiallyfrom 1 to 101, what are the numbers of the five beads that remain motionless?(f) The 13th bead has a maximum speed of 7.54 m/s. Whatis the amplitude of that bead’s motion? (g) If x0 = 0 corresponds to thecenter of the 1st bead and x101 =…A spring with a spring constant of 369 N/m is initially compressed by a distance of 0.064 m from its equilibrium position. A mass of 0.031 kg is then held against the compressed spring and released from rest while upon a horizontal, frictionless surface. Assuming that the spring then pushes the mass across the surface, with speed does the mass leave the spring? Assume proper SI Units.A spring with a spring constant of 349 N/m is initially compressed by a distance of 0.072 m from its equilibrium position. A mass of 0.056 kg is then held against the compressed spring and released from rest while upon a horizontal, frictionless surface. Assuming that the spring then pushes the mass across the surface, with speed does the mass leave the spring? Assume proper SI Units.
- One end of a horizontal spring with k=80N/m is fixed on the wall. A 5kg block is moving at 2m/s when it touches on the free end of a spring. Find the maximum compression of spring Δ: a) if the floor is frictionless ... Δa=...b) if there is kinetic friction with magnitude 10N between block and the floor..... Δb=...c) the amount of thermal energy produced in case (a).. ΔEth-a=.... and (b)... ΔEth-b=.......A block of mass, 1.5 kg is attached and secured to an end of a spring with a spring constant of 10,000 N/cm. The other end of the spring is secured to the wall. The block is pushed against the spring, which compresses the spring to a position of x = -0.04 cm. When uncompressed, the end of the spring that is attached to the block is at a position of x = 0.00 cm. The block/spring system is then released from rest, and the block travels along a rough horizontal track for the length of the spring. At 0.00 cm the surface changes. Can you help me calculate the block's velocity once it leaves the spring? Thank you.A 0.35 kg mass is held against a compressed spring with a spring constant of 89 N/m. The mass is initially at rest upon a horizontal surface and the spring force is directed parallel to the plane of the surface. If the coefficient of kinetic friction is 0.86, with what speed does the mass leave contact with the spring if the spring is initially compressed by 0.232 m?
- A block with mass 300 g is held at rest against a spring with spring con- stant 200 N/m that has been compressed 3 cm from its equilibrium length. The block is released and allowed to slide on a table, and the coefficient of kinetic friction between the block and the Problem 1 table is 0.3. The block slides a short distance on the table and then comes to rest. Assume the block loses contact with the spring when the spring is at its equilibrium length, and that the friction force only acts after the block has lost contact with the spring. (a) How much work does the spring force do on the block? (b) How much work does the kinetic friction force do on the block? (c) After leaving the spring, what distance does the block slide before coming to rest? (d) What speed did the block have after sliding 5 cm from the point it lost contact with the spring?A spring is used to stop a 60 kg package that is sliding on a horizontal surface. The spring has a constant K = 20,000 N/m and is held by cables so that it is initially compressed 0.12 m. The package has a velocity of 2.5 m/s in the position shown, and the maximum additional deflection is 0.04 m. Determine: (a) the coefficient of friction between package and the surface, (b) the velocity of the package as it passes again through the position shown. 2.5 m/s Cable, -60 kg- 600 mm