Given:
Mass, m = 7 kg
Force, F = 200 N
Let's find the acceleration.
To find the acceleration, apply the Newton's law:
[tex]\begin{gathered} F=ma \\ \\ a=\frac{F}{m} \\ \\ a=\frac{F_{\text{normal}}-F_{\text{gravity}}}{m} \end{gathered}[/tex]
Thus, we have:
[tex]a=\frac{F_n-mg}{m}[/tex]
Where:
a is the acceleration
m is the mass = 7 kg
g is the acceleration due to gravity = 9.81 m/s²
Fn = 200 N
Thus, we have:
[tex]\begin{gathered} a=\frac{200-(7\times9.81)}{7} \\ \\ a=\frac{200-68.67}{7} \\ \\ a=\frac{131.33}{7} \\ \\ a=18.77m/s^2 \end{gathered}[/tex]
Therefore, the acceleration is 18.77 m/s².
ANSWER:
18.77 m/s²
