Answer:
the work done by gravity on the boy is 604.62 J
Explanation:
Given;
distance the boy slides, d = 3 m
angle of inclination of the playground, θ = 40⁰
mass of the boy, m = 32 kg
The vertical height, h, above the ground through which the boy falls represents the height of the triangle which is the opposite side.
The distance through which the boy slides, d, represents the hypotenuse side of the right triangle.
![sin \theta = \frac{opposite }{hypotenuse} \\\\sin \theta = \frac{h}{d} \\\\h = dsin\theta\\\\h = 3 \times sin(40^0)\\\\h = 1.928 \ m](https://tex.z-dn.net/?f=sin%20%5Ctheta%20%3D%20%5Cfrac%7Bopposite%20%7D%7Bhypotenuse%7D%20%5C%5C%5C%5Csin%20%5Ctheta%20%3D%20%5Cfrac%7Bh%7D%7Bd%7D%20%5C%5C%5C%5Ch%20%3D%20dsin%5Ctheta%5C%5C%5C%5Ch%20%3D%203%20%5Ctimes%20sin%2840%5E0%29%5C%5C%5C%5Ch%20%3D%201.928%20%5C%20m)
The work done by gravity on the boy is calculated as;
W = P.E = mgh
= 32kg x 9.8m/s² x 1.928m
= 604.62 J
Therefore, the work done by gravity on the boy is 604.62 J
Deltas are complex depositional landforms that develop at the mouths of rivers. They are composed of sediment that is deposited as a river enters a standing body of water and loses forward momentum. Famous deltas include the Mississippi delta in Louisiana and the Nile delta in Egypt.
I'd say potential/kinetic energy.
The correct answer is (a.) Hydra. Hydra is not a dwarf planet, instead, it is the moon of the dwarf planet, Pluto. There are only four accepted dwarf planets by the International Astronomical Union which were the Haumea, Pluto, Eris, and Makemake.
Definitely ball and basket