Cart a and cart b are traveling in the same direction on a straight track. cart a is moving at 9.25 m/s and cart b is moving at 7.15 m/s. the mass of cart a is 72.0 kg and the mass of cart b is 55.0 kg. cart a catches up to and collides with cart b. after they collide, cart a slows down to 6.15 m/s. find the final speed of cart b.

Ablock of mass m = 2.5 kg is attached to a spring with spring constant k = 740 n/m. it is initially at rest on an inclined plane that is at an angle of theta= 26 with respect to the horizontal, and the coefficient of kinetic friction between the block and the plane is uk = 0.17. in the initial position, where the spring is compressed by a distance of d = 0.16 m, the mass is at its lowest position and the spring is compressed the maximum amount. take the initial gravitational energy of the block as zero. the block's initial mechanical energy is 9.472 j.b. if the spring pushes the block up the incline, what distance l in meters will the block travel before coming to rest? the spring remains attached to both the block and the fixed wall throughout its motion.