Question

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

Answer 1

Given:

Mass, m = 7 kg

Force, F = 200 N

Let's find the acceleration.

To find the acceleration, apply the Newton's law:

`\begin{gathered} F=ma \\ \\ a=(F)/(m) \\ \\ a=\frac{F_{\text{normal}}-F_{\text{gravity}}}{m} \end{gathered}`

Thus, we have:

`a=(F_n-mg)/(m)`

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:

`\begin{gathered} a=(200-(7*9.81))/(7) \\ \\ a=(200-68.67)/(7) \\ \\ a=(131.33)/(7) \\ \\ a=18.77m/s^2 \end{gathered}`

Therefore, the acceleration is 18.77 m/s².

ANSWER:

18.77 m/s²