Answer:
The mass of the ball is 1.360 kilograms.
Explanation:
By Work-Energy Theorem, gravitational potential energy (
), in joules, is the product of weight of the ball (
), in newtons, and height (
), in meters. Please notice that weight is the product of the mass of the ball (
) and gravitational acceleration (
), in meters per square second. Then, the formula for the mass of the ball is:
(1)
If we know that 
, 
and 
, then the mass of the ball is:
The mass of the ball is 1.360 kilograms.
The velocity is
(20 miles per hour) in the direction (that the ball is traveling this instant) .
If the speed OR direction of the ball changes, then the velocity has changed.
F = ma
6.25 N = 0.4 kg · a
a = (6.25/0.4) m/s² since N=kg·m/s²
a = 15.625 m/s²
The answer is c) 15.6 m/s²
(Note that the mass of the soccer player is irrelevant.)
That can only be happening if the mass mysteriously increased somehow. I'd like to know how in the world THAT happened.
