Block A𝐴 in (Figure 1) has mass 1.00 kgkg, and block B𝐵 has mass 3.00 kgkg. The blocks are forced together, compressing a spring S𝑆 between them; then the system is released from rest on a level, frictionless surface. The spring, which has negligible mass, is not fastened to either block and drops to the surface after it has expanded. Block B𝐵 acquires a speed of 1.30 m/sm/s.Figure1 of 1Part AWhat is the final speed of block A𝐴?Express your answer in meters per second.Activate to select the appropriates template from the following choices. Operate up and down arrow for selection and press enter to choose the input value typeActivate to select the appropriates symbol from the following choices. Operate up and down arrow for selection and press enter to choose the input value typev𝑣 =nothingm/sm/sSubmitRequest AnswerPart BHow much potential energy was stored in the compressed spring?Express your answer in joules.Activate to select the appropriates template from the following choices. Operate up and down arrow for selection and press enter to choose the input value typeActivate to select the appropriates symbol from the following choices. Operate up and down arrow for selection and press enter to choose the input value typeU𝑈 =

A 6.9-kg block is held in place against the spring by a 69-N horizontal external force. The external force is removed, and the block is projected with a velocity v1 = 2.2 m/s upon separation from the spring. The block descends a ramp and has a velocity v2 = 3.5 m/s at the bottom.The track is frictionless between points A and B. The block enters a rough section at B, extending to E.  The coefficient of kinetic friction is 0.39. The velocity of the block is v3 = 1.8 m/s at C. The block moves on to D, where it stops.What is the spring constant of the spring?Express your answer in N/m, to at least one digit after the decimal point.

A light spring with force constant 3.85 N/m is compressed by 8.00 cm as it is heldbetween a 0.250 kg block on the left and a 0.500 kg block on the right, both resting ona horizontal surface. The spring exerts a force on each block, tending to push the blocksapart. The blocks are simultaneously released from rest. Find the acceleration withwhich each block starts to move, given that the coefficient of kinetic friction betweeneach block and the surface is:(a) 0(b) 0.100(c) 0.462

Two blocks of masses m = 3kg and M = 7kg are connected by a light rope that is swung over a smooth pulley which is hanging from the roof.  Both blocks are initially at rest and at the same height of H = 2 meters from the floor.  After the blocks are released, with what speed will block M strike the floor?

A mass m1 = 8.51 kg𝑚1 = 8.51 kg  is at rest on a frictionless horizontal surface and connected to a wall by a spring with k = 70.1 N/m, as shown in the figure. A second mass  m2 = 5.71 kg𝑚2 = 5.71 kg  is moving to the right at v0 = 15.1 m/s𝑣0 = 15.1 m/s . The two masses collide and stick together.  How long will it take after the collision to reach this maximum compression?

Bullet and Two Blocks In Fig. 7-28a, a 3.30 g bullet is fired horizontally at two blocks at rest on a frictionless tabletop. The bullet passes through the first block, with mass 1.20 kg, and embeds itself in the second, with mass 1.80 kg. Speeds of 0.630 m/s and 1.40 m/s, respectively, are thereby given to the blocks (Fig. 7-28b). Neglect the mass removed from the first block by the bullet. Figure 7-28 (a) Find the speed of the bullet immediately after it emerges from the first block. m/s (b) Find the bullet's original speed. m/s