Answer:
a) 20.54 J
b) 30.97 J
c) 10.43 J
d) -20.54 J
Explanation:
m = Mass
g = Acceleration due to gravity = 9.81 m/s²
h = Height
![W=mgh\\\Rightarrow W=0.537\times 9.81\times (5.88-1.98)\\\Rightarrow W=20.54\ J](https://tex.z-dn.net/?f=W%3Dmgh%5C%5C%5CRightarrow%20W%3D0.537%5Ctimes%209.81%5Ctimes%20%285.88-1.98%29%5C%5C%5CRightarrow%20W%3D20.54%5C%20J)
Work done by the ball's weight is 20.54 J
![W=mgh\\\Rightarrow W=0.537\times 9.81\times (5.88)\\\Rightarrow W=30.97\ J](https://tex.z-dn.net/?f=W%3Dmgh%5C%5C%5CRightarrow%20W%3D0.537%5Ctimes%209.81%5Ctimes%20%285.88%29%5C%5C%5CRightarrow%20W%3D30.97%5C%20J)
Gravitational potential energy of the basketball, relative to the ground, when it is released is 30.97 J
![W=mgh\\\Rightarrow W=0.537\times 9.81\times (1.98)\\\Rightarrow W=10.43\ J](https://tex.z-dn.net/?f=W%3Dmgh%5C%5C%5CRightarrow%20W%3D0.537%5Ctimes%209.81%5Ctimes%20%281.98%29%5C%5C%5CRightarrow%20W%3D10.43%5C%20J)
Gravitational potential energy of the basketball, relative to the ground, when it is released is 10.43 J
Change in gravitational potential energy
![\Delta U=10.43-30.97=-20.54\ J](https://tex.z-dn.net/?f=%5CDelta%20U%3D10.43-30.97%3D-20.54%5C%20J)
Change in gravitational potential energy is given by -20.54 J