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(18 pts) Fo There is a challenge where a person runs, jumps into a cart, and then the cart with the person roll up an incline Of's to make it to the top of the incline which is at a height of 1.5 m above the starting point. he (apis) After the person jumps into the cart, they move together at the same speed. The collision is (circle one) (*) elastic, (b) inelastic, () perfectly inelastic (6 pts) Suppose that your mass is 70 kg and the cart's mass is 45 kg. If you run at 8.0 m/s when you jump in the cart, how fast will the cart move immediately after you jump in it? Speed - (C) (4 pts) How much energy (in Joules) is converted to other forms during the collision? Energy lost (D) (6 pts) Do you make it to the top of the incline? Assume that friction is negligible as the cart rolls up the incline. You may draw an energy bar chart in your solution. You must do a calculation to justify your answer. Hint: Calculate the maximum height you will reach. Answer (Circle one ) = Yes / No PROBLEM 2B (14 pts) Your little brother wants to go sledding on a hill near your house and you want to make sure that he will be safe so you doa calculation to estimate his speed at the bottom of the hill. You measure the following: angle of inclination of the hill = 10? distance he will travel along the hill = 25 m, coefficient of kinetic friction between the sled and snow - 0.15, mass of your brother + sled = 50 kg. (A) (6 pts) Draw a free body diagram for your brother + sled and calculate the normal force. Normal force = (B) (2 pts) Calculate the force of kinetic friction acting on your brother + sled. Kinetic friction = (C) (6 pts) How fast is your brother moving when reaching the bottom of the slope? Use energy methods to solve this problem. Hint: From what height does your brother start? Spee