Please help!

19.

19. | A110 kg runaway grocery cart runs into a spring with spring constant 250 Mm and compresses it by 60 cm. What was the speed of the cart just before it hit the spring? 27' l a. In FIGURE Ex1a.27, what minimum speed does a 100 g par- ticle need at point A to reach point B? b. What minimum speed does a 100 g particle need at point B to reach point A? 51. II A freight company uses a compressed spring to shoot 2.0 kg packages up a 1.0-m-high frictionless ramp into a truck, as FIGURE P10.51 shows. The spring constant is 500 N/m and the spring is compressed 30 cm. a. What is the speed of the package when it reaches the truck? b. A careless worker spills his soda on the ramp. This creates a 50-cm-long sticky spot with a coefficient of kinetic friction 0.30. Will the next package make it into the truck? M C m 1.0 m h 50-cm-long sticky spot FIGURE P10.51 FIGURE P10.5245. || A block of mass m slides down a frictionless track, then around the inside of a circular looptheloop of radius R. From what minimum height it must the block start to make it around without falling off? Give your answer as a multiple of R