"You attach a cart with a mass of 0.92 kg to a spring and compress the cart-spring system. The spring constant for the spring is 130 N/m. Your objective is to propel the cart with a velocity of 1.4 m/s along a frictionless surface. How far do you need to compress the spring in order to meet your target velocity?"

Can someone help me with this question please?

The hill is covered in gravel so that the truck's wheels will slide up the hill instead of rolling up the hill. The coefficient of kinetic friction between the tires and the gravel is μk. This design has a spring at the top of the ramp that will help to stop the trucks. This spring is located at height h. The spring will compress until the truck stops, and then a latch will keep the spring from decompressing (stretching back out). The spring can compress a maximum distance x because of the latching mechanism. Your job is to determine how strong the spring must be. In other words, you need to find the spring constant so that a truck of mass mt, moving at an initial speed of v0, will be stopped. For this problem, it is easiest to define the system such that it contains everything: Earth, hill, truck, gravel, spring, etc. In all of the following questions, the initial configuration is the truck moving with a speed of v0 on the level ground, and the final configuration is the truck stopped…

A spring-powered launcher has a spring with a constant of 50.0 N/cm. The launcher is prepared by compressing the spring by 5.00 cm. If the mass of the projectile is 10.0 grams, what is the speed of the projectile when it is launched?   Multiple Choice   35.4 m/s   65.4 m/s   52.8 m/s   40.5 m/s   45.7 m/s