An object, whose mass is 0.580 kg, is attached to a spring with a force constant of 112 N/m. The object rests upon a frictionless, horizontal surface (shown in the figure below). An object labeled m is attached to the right end of a horizontal spring, and the left end of the spring is attached to a wall. The spring is stretched horizontally such that the object is displaced by a distance A to the right of its equilibrium position. The object is pulled to the right a distance A = 0.130 m from its equilibrium position (the vertical dashed line) and held motionless. The object is then released from rest. (a) At the instant of release, what is the magnitude of the spring force (in N) acting upon the object? N (b) At that very instant, what is the magnitude of the object's acceleration (in m/s2)? m/s2 (c) In what direction does the acceleration vector point at the instant of release? The direction is not defined (i.e., the acceleration is zero). Away from the equilibrium position (i.e., to the right in the figure). Toward the equilibrium position (i.e., to the left in the figure). You cannot tell without more information.

A 5 kg block is attached to a spring of constant k = 2400 N/m. The coefficient of friction between the block and the ground is 0.4. Under its initial condition, a force F is applied to the block until the restoring force of the spring reaches 100 N. To reach its final condition, the applied force F is removed. Then, the block moves and the spring returns to its unstretched position. Use 9.81m/s^2 for the gravity. a) Using the formula Fspring=kx, determine the distance in meters of the block from its unstretched position until it has a restoring force of 100N. b)Determine the work done by friction in Joules from the initial position (stretched) to its final position (unstretched). c)If the total work done on the system is 1.2658 J, determine the final velocity of the block (by relating work and kinetic energy)

A 0.050 kg object is attached to a spring with a spring constant of 150.0 N/m. The other end of the spring is attached to a wall in such a way that it rests on a frictionless horizontal surface. A force is exerted on the spring so that it experiences simple harmonic motion. How much work would be done on this spring to compress it by 15.0 cm?

m2 m₁ Q8. A small object of mass m₂ = 4 kg is placed on top of another object of mass m1 = 6 kg, and which is connected to a spring with spring constant k = 50 N/m, as shown in the figure. Accessibility: Investigate Styles There is no friction between the larger object and the horizontal surface underneath, and the system is in equilibrium. ////// The system is pushed with an initial speed vo= √10 m/s, and then it continues to move freely. a) Find the amplitude of the oscillations if the two masses are moving together. b) Find the smallest value of the friction coefficient such during the oscillations the smallest object of mass m₂ will not slide on the larger object of mass m₁. c) Find the maximum acceleration and the maximum potential energy of the system containing the two masses. O