A horizontal springwith a spring constant of 25 N/mis lying on a frictionless surface. One end of the spring isattaches to a wall while the other end is connected to a 0.5 kgobject. The spring and object are compressed by0.07m, released from rest, and subsequently oscillate back and forth. a.Calculate the total energy of the system. b.Calculate the kinetic and potential energies of the system when the spring isstretchedby 0.03m. c.What is the speed of the object at the instant when the spring isstretchedby 0.03m relative to its unstrained length?

A block of mass 2.80 placed against a horizontal spring of constant k 885 N/m and pushed so the spring compresses by 0.0550 m. What is the elastic potential energy of the block spring system in J? if the block is now released and the surface is frictionless calculate the blocks speed in m/s after leaving the spring

pls help solve three part question attached.

1. A 1.75 kg ball rolls down an incline into a spring. The ball starts from rest at a height of 3.10 m above the spring and the spring constant is 185 m a. If the spring is compressed 65 cm when the ball comes to rest against the spring, was energy conserved? b. How much work was done by non-conservative forces in this case? c. How far would the spring be compressed if the work done by non-conservative forces was zero?

When a spring with stiffness constant   k is compressed or stretched by a distance x the elastic potential energy stored by the spring is  A. -kx B. 0.5kx^2 C. 0.5mv^2 - U (x) D. [None of the others.] E. kx F. mgx

A box with mass of 150 kg is released from point A, 43 meters above the ground. The box slides without friction and then collides with a massless spring that is initially uncompressed.  a) What is the total energy of the system? b) What is the speed of the box right before colliding with the spring? After colliding with the spring, the box gets stuck to the spring and starts oscillating back and forth. c) If the spring constant is 300 N/m, what is the amplitude of oscillation for the box-spring system? d) When the spring is compressed by Δs = 1.5 m, find the speed of the box. e) Find the maximum acceleration experienced by the box.  f) What is the period of oscillation?

An apple of mass 0.10 kg is attachedto a vertical spring with a force constant of 10.6 N/m. The apple is held so that thespring is at its upstretched equilibrium position then it is allowed to fall. Neglect themass of the spring and its kinetic energy. What is the speed of the apple when it has fallen 10.0 cm? Plz draw a diagarm

K Solve for the indicated variable. Assume all variables are positive. QV₁ QV₂ T. L T₂ ; for T₁ (Simplify your answer.)

A 10kg block is released from rest at point A the in figure shown. The track is frictionless except for the portion between points B and C, which has a length of 6m. The block travels down the track, hits a spring of force constant 2250N/m and compresses the spring 0.3m from its equilibrium position before coming to rest momentarily. You may assume that the spring has negligible mass. 111 Summer, 2020 ®T 3.00 m 6.00 m. B) (a) Let uk be the the coefficient of kinetic friction of the rough surface between point B and C. Write down an expression for the total energy of the block just before it hits the spring, in terms of Hk. (b) Hence find the numerical value of 4k.

As shown in the figure below, a box of mass m = 9.60 kg is slidine across a horizontal frictionless surface with an initial speed v, = 3.40 m/s when k = 2950 N/m. encounters a spring of constant The box comes momentarily to rest after compressing the spring some amount x Determine the final compression x (in m) of the spring. 0.2 Can you write an expression for the initial kinetic energy of the box in terms of its mass and initial speed? What is the final kinetic energy of the box? How is the change in kinetic energy related to the initial and final kinetic energy? Since only conservative forces are acting on the system (box and spring) is energy conserved? How is the change in spring potential energy related to the change in kinetic energy of the box? How is the compression of the spring related to the change in potential energy of the spring and the spring constant? m