Bumper car "A' , with mass 54.0 × 104 kg, coasts across a level track at 4.50 m/s when it collides elastically with a spring-loaded bumper car "B" at the end of the track. If the maximum compression of the spring during the collision is 1.80 m , what is spring constant of the spring on bumper car "B"?

A bullet with mass 5.18 g is fired horizontally into a 1.918-kg block attached to a horizontal spring. The spring has a constant 5.81 x 102 N/m and reaches a maximum compression of 5.70 cm. (a) Find the initial speed of the bullet–block system.(b) Find the speed of the bullet.

Mickey, a daredevil mouse of mass  0.0203 kg, ,  is attempting to become the world's first "mouse cannonball." He is loaded into a spring‑powered gun pointing up at some angle and is shot into the air. The gun's spring has a force constant of  62.1 N/m  and is initially compressed a distance of  0.141 m  from its relaxed position. If Mickey has a constant horizontal speed of  2.17 m/s while he is flying through the air, how high  ℎ above his initial location in the gun does Mickey soar? Assume  ?=9.81 m/s2.       4.12 m     7.56 m     0.51 m     2.86 m

A 5.00-g bullet moving with an initial speed of v0 = 430 m/s is fired into and passes through a 1.00-kg block, as in the figure below. The block, initially at rest on a frictionless horizontal surface, is connected to a spring with a spring constant of 910 N/m. (a) If the block moves 5.00 cm to the right after impact, find the speed at which the bullet emerges from the block. m/s(b) If the block moves 5.00 cm to the right after impact, find the mechanical energy lost in the collision. J