Provide a detailed explaination to the following question by

Provide a detailed explaination to the following question by addressing drag force, magnus force, and lift force. Why would a crumpled up paper ball travel travel father than a paper airplane when using identical amounts of large propulsion force? (The paper ball and the paper airplane were made using two sheets of paper of the same dimensions and weights.)

Solution

In the case of a crumpled up ball, the effect which comes into play is the Magnus effect, since the magnus effect is the force experienced by athletes who want to bend the flight of a ball. This force provides a curved trajectory of the ball giving it a spin, but in case of the crumpled paper ball, when it is been thrown from some finite particular height, it spins because of this force before it hits the ground, in brief, the whole phenomena in which effect comes into play is that as the ball moves through the air, a pressure gradient is created, which causes the ball to move in a direction of the pressure differential, the ball moves from higher to lower pressure differential, that\'s how a crumpled paper ball travels much farther than the paper airplane, their should be another reason corresponding to the mass of both the objects, since the mass of the crumpled ball is concentrated at the center of the ball, since it is being crumpled that way, also it gives advantage for the move further because the whole mass of the ball is concentrated at the center or at some particular point of the body which causes the mass to be concentrated at one point when it travels through air and spin and therefore, much easier for the ball to travel further when it hits the ground.

Rather in the case of paper airplane, since the mass is distributed uniformly, when it travels through air, it experience a force which is a dragging force because the air pressure is applied to all parts of the plane equally and it will cause dragging force which resists the plane to move further. Unilke the paper ball, which moves in pressure differential.