Problem 1 (18 points). A 5.0-kg crate is placed on a ramp inclined F 30' to the horizontal, as shown in Figure 1. (sin 30' = 0.5; cos 30' = 0.87) (a) Draw a Free-Body Diagram of the forces on the block (3 points) Feric (b) IF there were no friction between the crate and the ramp, what would the acceleration of the crate be? Show calculation. (4 pts) (c) In reality there is friction between the crate and the ramp, and the coefficient of static friction is found to be 0.45. Will the crate slide down the ramp? Show calculations to justify your answer. (5 points) (d) IF the coefficient of kinetic friction between the crate and the ramp is 0.35, what would the acceleration of the crate be as it slides down the ramp? Show calculation. (6 points)