A kid is on a stationary sled, onsnowy ground withus= 0.105.It takes 71.2 N of force to setthe sled moving. How muchnormal force is acting?(Unit = N)

Respuesta :

We are given the following configuration:

Where:

[tex]\begin{gathered} N=\text{ normal force} \\ F_f=\text{ force of friction} \\ W=\text{ weight} \\ F=\text{ pulling force} \end{gathered}[/tex]

Since we are given the force to set the body in motion this means that the pulling force is equal to the friction force, therefore, we have:

[tex]F=F_f[/tex]

The friction force is given by the following formula:

[tex]F_f=\mu N[/tex]

Substituting we get:

[tex]F=\mu N[/tex]

Now, we solve for the normal force by dividing both sides by the coefficient of friction:

[tex]\frac{F}{\mu}=N[/tex]

Now, we plug in the values:

[tex]\frac{71.2N}{0.105}=N[/tex]

Solving the operations:

[tex]678.1N=N[/tex]

Therefore, the normal force is 678.1 Newtons.

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