You finally made it to the roller coaster, called the Elasticoaster because it gets all its kinetic energy from being pulled back against a giant elastic band just like a bow and arrow. The 10,000Kg Elasticoaster car starsts at rest 50m off the ground. Frictional forces between the car and the track plus drag foces against your raised arms for a total amount of work on the car equal to Wother= -40Nm. There is a loop in the track and the car must be going at least 25m/s at the top of the loop in order to get around the loop. The top of the loop is 20 m off the ground. It the spting constant of the elastic band is 2000N/m how far back, x, must the car stretch the band from its rest position in order to clear the loop?

you finally make it to the roller coaster, called the Elasticoaster because it gets all its kinetic energy from being pulled back against a giant elastic band just like a bow and arrow. The 10,000 kg Elasticoaster car starts at rest 50 m off the ground. Frictional forces between the car and the track plus drag forces against your raised arms do a total amount of work on the car equal to Wother = -40 Nm. There is a loop in the track and the car must be going at least 25 m/s at the top of the loop in order to get around the loop. The top of the loop is 20 m off the ground. If the spring constant of the elastic band is 2000 N/m, how far back, x, must the car stretch the band from its rest position in order to clear the loop? (See figure) V, =0 m/S K = 2000 N/m 4, = 50 m V2 = 25 m/s X= ? X=0 42= 20m Wother = -40 Nm