(a) (b) Mel is a courier and is picking up a large parcel, consisting of a 100 kg at-bottomed crate. They load the crate onto the bed of the delivery van, which is parked on at ground, but forget to close the doors of the van. i) Draw the forces acting on the crate and calculate the normal force. ii) Now imagine that Mel is instead parked on a slope of 25. Draw the forces on the crate in this conguration. Does the normal force increase or decrease? iii) What is the minimum value of the coe'icient of static friction to ensure that the crate remains on the delivery van while on the slope? Back to the 'atground' scenario, Mel now departs to deliver the crate to the receiving depot. As the van moves off, the engine applies a force of 11000 N horizontally to the van. The empty van and Mel together have a mass of 2100 kg. i) What is the acceleration of the loaded van? ii) Draw the forces acting on the crate. Assuming the box remains in the same position in the bed of the delivery van, determine the force applied in the direction of motion by the van to the crate. iii) Assume there is a coefcient of friction between the crate and the bed of as = 0.6. Does the crate remain on the van bed under the acceleration of the van from part i)? iv) Consider the scenario where the the van is instead accelerating up the 25 slope and the force that the engine applies is directed parallel to and up the slope. A) What is the acceleration of the loaded van? B) Does the crate remain stationary in the bed of the van