A frictionless spring with a 5-kg mass can be held stretched 0.4 meters beyond its natural length by a force of 90 newtons. If the spring begins at its equilibrium position, but a push gives it an initial velocity of 2 m/sec, find the position of the mass after
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- Two blocks connected by a spring on a frictionless surface, one has a mass of 28kg and the other has a mass of 4 kg. A person is pushing on the 28kg block with a force of 129 N. Both blocks have a constant acceleration. The spring has a stiffness of 74 N/m. By how much is the length of the spring affected?When a 0.111 kg mass is suspended at rest from a certain spring, the spring stretches 4.20 cm. Find the instantaneous acceleration of the mass when it is raised 5.50 cm, compressing the spring 1.30 cm. magnitude:A hockey puck with mass 0.166 kg is pushed across the ice with a constant force of 0.89 N. The coefficient of kinetic friction between the puck and the ice is 0.22. After a distance of 2.6 m, what is the puck's speed in m/s?
- Needs Complete typed solution with 100/% accuracy.Use the approximation that avg/m for each time step. A spring with a relaxed length of 25 cm and a stiffness of 11 N/m stands vertically on a table. A block of mass 73 g is attached to the top of the spring. You pull the block upward, stretching the spring until its length is now 31.3 cm, hold the block at rest for a moment, and then release it. Using a time step of 0.1 s, predict the position and momentum of the block at a time 0.2 s after you release the block. (Assume the + y direction is upward. Express your answers in vector form.) Part 1 (a) ✈ =m Attempts: 0 of 4 used Submit Answer > kg-m/s Attempts: 0 of 4 used Submit AnswerA 500 [g] particle has velocity vx= −2.0 [m/s] at t= 0 [s].Force Fx = (4 − t^2) [N] is exerted on the particle between t= 0 [s] and t= 2 [s].What is the particle’s velocity at t= 2 [s] ?
- Problem 18: A particle of mass 0.61 kg begins at rest and is then subject to a force in the positive x direction that changes with time as given by the following function: F = mg[1-e-3.1t ], where g is the acceleration due to gravity. Δv = 19.38 Determine the change in x-coordinate of the particle Δx between t = 0 and t = 2.3.Problem 2: An object of mass M is hanging from a spring (with I_o =0 and a spring constant k). There is a constant force from the wind, F_wind, blowing to the right, so the mass is initially at rest, but hanging at an angle Theta from the vertical because of the presence of the wind. Suddenly, spring breaks, and the mass drops under the influence of F_wind (note F_air and F_wind are the same constant vector!) and its weight. If the object (in equilibrium before the spring breaks) is a height H above the ground, how far laterally (in the direction of the wind) does the object hit the ground, L (given theta, k, M, g, H)?A block, initially at rest, has a mass m and sits on a plane inclined at angle theta. It slides a distance d before hitting a spring and compresses the spring by a maximum distance of xf. If the coefficient of kinetic friction between the plane and block is uk, then what is the force constant of the spring?
- An ideal spring can compress 2.33 cm by a force of 555 N, a block of mass m = 3.18 kg is released from rest on an inclined plane, the onclination of the plane is 32 degrees, the block rest momentarly when the spring is compress 5.48 cm. Find the distance d that the block travels from the begining of the motion until it reaches the spring. (g = 10 m/s2 ).A massless spring with spring constant 26 N/m hangs vertically. A body of mass 1.0 kg is attached to its free end and then released. Assume that the spring was unstretched before the body was released. Find how far below the initial position the body descends. I don't understand why I'm getting this first part wrong specifically because the formula is just x= mg/k because F=kx.A 65-kg person stands on a scale in a moving elevator while holding a 5.0 kg mass suspended from a massless spring with spring constant 1.10 kN/m . None of the objects in the elevator is moving relative to the elevator, but the spring is stretched by 7.0 cm. Is the elevator accelerating, and if so, what is the magnitude of its acceleration, and what is the reading of the scale on which the person stands?