15-61. The 15-kg block A slides on the surface for which Hx = 0.3. The block has a velocity v = 10 m/s when it is s = 4 m from the 10-kg block B. If the unstretched spring has a stiffness k = 1000 N/m, determine the maximum compression of the spring due to the collision. Take e =0.6. 10 m/s -k = 1000 N/m

14) A block of mass 0.20 kg is against a spring compressed 0.20 m with spring constant 70 N/m. When the spring is released, the block moves along the frictionless surface until entering a region with a coefficient of kinetic friction equal to 0.36 (when the block enters the friction region it is no longer in contact with the spring). How far, L, into the region with friction does the block slide before stopping? k = 70 N/m 0.36 Ax 0.20 m m = 0.20 kg Initial frictionless Ax Final ell frictionless L

A 10.0 g bullet is fired into and embeds itself in a 1.75 kg block attached to a spring with a spring constant of 22.0 N/m and whose mass is negligible. How far is the spring compressed if the bullet has a speed of 300 m/s just before it strikes the block, and the block slides on a frictionless surface? (Note: You must use conservation of momentum in this problem.) m

7. Two masses, m1 = 2 kg and m2 = 8 kg, are pressed onto identical springs (k = 2 × 104 N/m) so that the springs are each compressed by 10 cm. The masses are then released; they slide towards each other on a frictionless table and undergo an elastic collision. Find the speed of each mass before the collision. Find the speed of each mass after the collision. After the collision, m1 will rebound to the left and hit the spring again. How far will the spring compress before it momentarily comes to rest? m2 m,

A spring with a spring constant of 383 N/m is initially compressed by a distance of 0.076 m from its equilibrium position. A mass of 0.038 kg is then held against the compressed spring and released from rest while upon a horizontal, frictionless surface. Assuming that the spring then pushes the mass across the surface, with speed does the mass leave the spring? Assume proper SI Units.

A spring with a spring constant of 369 N/m is initially compressed by a distance of 0.064 m from its equilibrium position. A mass of 0.031 kg is then held against the compressed spring and released from rest while upon a horizontal, frictionless surface. Assuming that the spring then pushes the mass across the surface, with speed does the mass leave the spring? Assume proper SI Units.

A 10.0 g bullet is fired into and embeds itself in a 1.80 kg block attached to a spring with a spring constant of 21.5 N/m and whose mass is negligible. How far is the spring compressed if the bullet has a speed of 300 m/s just before it strikes the block, and the block slides on a frictionless surface? (Note: You must use conservation of momentum in this problem.) m

An object has a mass of 0.5 kg is placed in front of a compressed spring. When the spring was released, the 0.5kg object collides with another object with mass 1.5kg and they move together as one unit. Find the velocity of boxes if the spring constant is 40N/m, and spring. was initially compressed by 20cm. Answer with text and/or attachments:

A cart of mass 206 g is placed on a frictionless horizontal air track. A spring having a spring constant of 10.80 N/ m is attached between the cart and the left end of the track. When in equilibrium, the cart is located 10.0 cm from the left end of the track. If the cart is displaced 5.10 cm from its equilibrium position, find(a) the period at which it oscillates   A cart of mass 206 g is placed on a frictionless horizontal air track. A spring having a spring constant of 10.80 N/ m is attached between the cart and the left end of the track. When in equilibrium, the cart is located 10.0 cm from the left end of the track. If the cart is displaced 5.10 cm from its equilibrium position, find (d) its speed when it is 12.0 cm from the left end of the track.

K Question 13 of 32 A spring hangs from the ceiling with an unstretched length of xo = 0.99 m. A m¡ = 9.1 kg block is hung from the %3D spring, causing the spring to stretch to a length X = 1.18 m. Find the length x2 of the spring when a m2 = 3.3 kg block is hung from the spring. For both cases, all vibrations of the spring are allowed to settle down before any measurements are made. m2 X2 = %3D 0.04 m m,