Answer:
h = 2.22 m
Explanation:
Using the international system, we know that the gravity of the earth is 9.8 m / s².
then, we have as data:
- Potential Energy (Ep) = 720 J
- Mass (m) = 33 kg
- Gravity (g) = 9.8 m/s²
- Height (h) = ?
Use formula:
- [tex]\boxed{h=\frac{Ep}{m*g}}[/tex]
Replace:
- [tex]\boxed{h=\frac{720J}{33kg*9.8\frac{m}{s^{2}}}}[/tex]
Joules descompose:
- [tex]\boxed{h=\frac{720N*m}{33kg*9.8\frac{m}{s^{2}}}}[/tex]
Solve the multiply of mass and gravity:
- [tex]\boxed{h=\frac{720N*m}{323.4kg*\frac{m}{s^{2}}}}[/tex]
Multiply the units. Knowing that kg * m/s² = N, so:
- [tex]\boxed{h=\frac{720N*m}{323.4N}}}[/tex]
Simplify the Newtons (N), and it divides:
- [tex]\boxed{h=2.22\ m}[/tex]
What is the child’s height above the ground?
The child's height above the ground is 2.22 meters.
