Imagine that two balls, a basketball and a much larger exercise ball, are dropped from a parking garage. If both the mass and radius of the exercise ball are 3 times larger than the mass and radius of the basketball, which of the two balls do you think will reach the ground first?

Respuesta :

Here if we assume that there is no air friction on both balls then we can say

[tex]F = mg[/tex]

now the acceleration is given as

[tex]F = ma = mg[/tex]

[tex]a = g[/tex]

so here both the balls will have same acceleration irrespective of size and mass

so we can say that to find out the time of fall of ball we can use

[tex]y = \frac{1}{2}gt^2[/tex]

[tex]t = \sqrt{\frac{2y}{g}}[/tex]

now from above equation we can say that time taken to hit the ground will be same for both balls and it is irrespective of its mass and size