A. 1.566 m/s²
Explanation
Step 1
free body diagram
F.B.D
Step 2
Newton's second law says that when a constant force acts on a massive body, it causes it to accelerate,it is represented in the formula
[tex]\begin{gathered} F=m*a \\ where\text{ m is the mass} \\ a\text{ is the acceleration} \end{gathered}[/tex]
so,for the x-axis we have
[tex]\begin{gathered} tcos\theta=ma \\ replace \\ 50*cos20=30kg*a \\ 46.98=30a \\ divide\text{ both sides by 30} \\ \frac{46.98}{30}=\frac{30a}{30} \\ 1.566\frac{m}{s^2}=a \end{gathered}[/tex]
therefore, the answer is
A. 1.566 m/s²
I hope this helps you
