A cart weighing 100 lbs is being pushed up a ramp at an incline that makes an angle of 30 with the horizontal. Find the work done against gravity in pushing the cart a distance of 80 feet. (Hint: gravity produces a force that is completely vertical pointing downward, and in our case here it has a magnitude of 100.) For this problem decompose the force due to gravity into a vector parallel to the ramp and a vector perpendicular to the ramp, then ignore the force perpendicular to the ramp. Use the force parallel to the ramp to answer this