Question

a 60 kg man is going to use an elevator that will transport him upwards with an acceleration of 2 m/s². What is the force exerted by the floor of the elevator under the feet of that man?​

Answer 1

Answer: Therefore, the force exerted by the elevator floor under that man's feet is 120 Newtons.

Step-by-step explanation:

A 60 kg man is going to use an elevator that will transport him upwards with an acceleration of 2 m/s². What is the force exerted by the floor of the elevator under the feet of that man?​

Data:

m = 60 kg

a = 2 m/s²

F = ?

The formula for Newton's second law is:

F = m × a

Where

• F = force
• m = mass
• a = acceleration

Since we must calculate the force, it is not necessary to solve the formula. We substitute data and solve, then

F = 60 kg × 2 m/s²

F = 120 Newton

Therefore, the force exerted by the elevator floor under that man's feet is 120 Newtons.

Answer 2

The force is
`\bold{120 \: N}`.

Step by step explanation:

Newton's 2nd Law

Newton's Second Law states that the resultant force acting on a body is equal to the product of the mass of this body times the acceleration it acquires.

We represent Newton's 2nd Law with the following formula:

`\boxed{\bold{{F=m~ \cdot~a}}}`

Solution of the exercise:

`\begin{gathered}\begin{gathered}\begin{gathered}\displaystyle\text{$\mathrm{ \bold{F}= \bold{m}~ \cdot~ \bold{a}\left\{\begin{matrix}\displaystyle\text{$ \rm{ \bold F=? \: \bold{N}}$}\\\displaystyle\text{$\rm \bold{{m=60kg}}$}\\\ \: \displaystyle\text{$\rm{ \bold{a=2 m/s^(2) }}$} \end{matrix}\right.}$}\\\\\\\\ \: \displaystyle\text{$\rm{ \bold{F=60~\cdot~2}}$}\\\\\\\\ \boxed{\displaystyle\text{$\rm{ \bold{F=120~N.} }$}}\end{gathered} \end{gathered}\end{gathered}`

∴ The force is
`\bold{120 \: N}`.