Answer:
v = 19.8 m/s
KE = 1960.2 J
Explanation:
We can calculate the velocity of the body by using the formula:
- [tex]v=\sqrt{2gh}[/tex]
- since we are given the height, and we know that g = 9.8 m/s².
Plug the known values into the equation.
- [tex]v=\sqrt{2\cdot 9.8\cdot 20}[/tex]
- [tex]v=\sqrt{392}[/tex]
- [tex]\displaystyle v=19.8 \ \frac{m}{s}[/tex]
Now we can use the formula for kinetic energy to calculate the kinetic energy of the body:
- [tex]\displaystyle KE = \frac{1}{2}mv^2[/tex]
Plug in 19.8 m/s for v and 10 kg for m.
- [tex]\displaystyle KE =\frac{1}{2} (10)(19.8)^2[/tex]
- [tex]\displaystyle KE=(5)(392.04)[/tex]
- [tex]\displaystyle KE = 1960.2 \ J[/tex]
The kinetic energy of the body when falling to the ground is 1960.2 Joules.
