A body of mass 7 kg is pushed straight upward by a 200 N vertical force. What is its acceleration?

A Body Of Mass 7 Kg Is Pushed Straight Upward By A 200 N Vertical Force What Is Its Acceleration class=

Answer :

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