Weight, Normal: You and a few friends have decided to open a small business called Wee Deliver. The business will guarantee to deliver any box between 5 lbs. and 500 lbs. to any location in the Twin City area by the next day. At your distribution center, boxes slide down a ramp between the delivery area and the sorting area. In designing the distribution center, you must determine the angle this ramp should have with the horizontal so that a 500-lb box takes 5.0 seconds to slide down the ramp starting from rest at the top. When the box arrives at the bottom of the ramp, its speed should not be too large or the contents of the box might be damaged. You decide that this speed should be 10 ft/s. Using the latest technology, your ramp will have a very slippery surface so you make the approximation that the frictional force between the ramp and the box can be neglected.

You and a few friends have decided to open a small business called Wee Deliver. Thebusiness will guarantee to deliver any box between 5 lbs. and 500 lbs. to any location in theTwin City area by…