ANSWER:
a. 2881.2 J
b. 10.8 m/s
STEP-BY-STEP EXPLANATION:
Given:
Mass (m) = 49 kg
Height (h) = 6 m
The first thing is to determine the potential energy using the following formula:
[tex]\begin{gathered} E_P=mgh \\ \\ \text{ we replacing:} \\ \\ E_P=(49)(9.8)(6) \\ \\ E_P=2881.2\text{ J} \end{gathered}[/tex]
a.
Potential energy is equal to kinetic energy, therefore:
[tex]\begin{gathered} E_K=E_P \\ \\ E_K=2881.2\text{ J} \end{gathered}[/tex]
Now we calculate the speed as follows:
[tex]\begin{gathered} E_K=\frac{1}{2}mv^2 \\ \\ \text{ We replacing:} \\ \\ 2881.2=\frac{1}{2}(49)v^2 \\ \\ v^2=2\cdot\frac{2881.2}{49} \\ \\ v=\sqrt{117.6} \\ \\ v=10.8\text{ m/s} \end{gathered}[/tex]
