A box of mass 10 kg slides along a frictionless surface with a velocity of v = 8.0 m/s and hits a spring with a spring constant of k = 500 N/m. The spring compresses to a distance z when the box's velocity reaches zero. How far does the spring compress? Express your answer with the appropriate units.

A block with a mass m = 7.80 kg is attached to a lightweight spring with a spring constant k = 100 N/m that is attached to a wall. Initially the block is at rest and the spring is relaxed, as shown in figure (a). A second block with a mass mg = 7.00 kg is pushed up against block m, compressing the spring a distance A = 0.210 m, as shown in figure (b). The two blocks are released from rest, and both start moving to the right with negligible friction. IS a (a) When block m, reaches the equilibrium point, as shown in figure (c), block m, loses contact with block m,. Block m, continues to move right at a speed v. What is the speed v (in m/s)? m/s (b) Block m, continues to move right, reaching the point where the spring is at the maximum stretch (for the first time), as shown in figure (d). At this point, what is the distance D between the two blocks (in cm)? (Assume the widths of the blocks are much smaller than D.) cm

The spring in the muzzle of a child's spring gun has a spring constant of 705 N/m. To shoot a ball from the gun, first the spring is compressed and then the ball is placed on it. The gun's trigger then releases the spring, which pushes the ball through the muzzle. The ball leaves the spring just as it leaves the outer end of the muzzle. When the gun is inclined upward by 30° to the horizontal, a 57 g ball is shot to a maximum height of 1.84 m above the gun's muzzle. Assume air drag on the ball is negligible. (a) At what speed does the spring launch the ball? m/s (b) Assuming that friction on the ball within the gun can be neglected, find the initial compression distance of the spring. m

The class I'm taking is physics for scientists and engineers! I am completely stuck. Need help. I have attached the problem. Please view both attachments before answering. If you can please explain your answer so I can fully understand. Thank you!

At the instant r = 2 m, the 8-kg disk is given a speed of v = 8 m/s, perpendicular to the elastic cord. Determine the speed of the disk at the instant r=1.1 m. The disk slides on the smooth horizontal plane. Neglect its size. The cord has an unstretched length of 0.5 m. k= 200 N/m B

A block of mass m 2.00 kg slides along a horizontal table with speed vo 9.50 m/s. At x = 0 it hits a spring with spring constant k95.00 N/m and it also begins to experience a friction force. The coefficient of friction is given by u 0.100. How far has the spring compressed by the time the block first momentarily comes to rest? wwwww.wl Number 9.50 m/s m Ar ?