A spring-loaded toy gun projects a 6.0 g nerf pellet horizontally. The spring constant is 8.5 N/m, the barrel of the gun is 17 cm long, and a constant frictional force of 0.032 N exists between the barrel and the nerf pellet. If the spring is compressed 6.5 cm for this launch, determine the speed (in m/s) of the pellet as it leaves the barrel. (Assume the pellet is in contact with the barrel for the full length of the barrel.) 7.62 X m/s

A box of mass m = 0.14 kg is set against a spring with a spring constant of kį = 670 N/m which has been compressed by a distance of 0.1 m. Some distance in front of it, along a frictionless surface, is another spring with a spring constant of k2 = 204 N/m. (a) How far, d, in meters, will the second spring compress when the box runs into it? (b) How fast, v in meters per second, will the box be moving when it strikes the second spring? (c) Now assume that the surface is rough (that is, not frictionless). You perform the experiment and observe| that the second spring only compresses a distance dy/2. How much energy, in joules, was lost to friction? m

You place the spring vertically with one end on the floor. You then lay a 1.60 kg book on top of the spring and release the book from rest. Find the maximum distance the spring will be compressed.

Problem 3:   A brick of mass m = 0.28 kg is set against a spring with a spring constant of k1 = 627 N/m which has been compressed by a distance of 0.1 m. Some distance in front of it, along a frictionless surface, is another spring with a spring constant of k2 = 103 N/m. The brick is not connected to the first spring and may slide freely.  Part (a)  How far d2, in meters, will the second spring compress when the brick runs into it?  Part (c)  Now assume friction is present on the surface in between the ends of the springs at their equilibrium lengths, and the coefficient of kinetic friction is μk = 0.5. If the distance between the springs is x = 1 m, how far d2, in meters, will the second spring now compress?