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Problem #1: A force of 15 N was applied to a 5 kg object, causing it to accelerate. If this object encounters a 6 N frictional force, compute its

Sagot :

[tex]\tt{\huge{\blue{Explanation:}}}[/tex]

The force acting on an object is given by

[tex]\boxed{F_{net} = ma}[/tex]

where:

[tex]F_{net} =[/tex] net force

m = mass

a = acceleration

[tex]\tt{\huge{\red{Solution:}}}[/tex]

Solving for the net force

[tex]F_{net} = F_{applied} - F_{friction}[/tex]

[tex]F_{net} = \text{15 N} - \text{6 N}[/tex]

[tex]F_{net} = \text{9 N}[/tex]

Solving for the acceleration

[tex]F_{net} = ma[/tex]

[tex]\dfrac{F_{net}}{m} = \dfrac{ma}{m}[/tex]

[tex]a = \dfrac{F_{net}}{m}[/tex]

[tex]a = \dfrac{\text{9 N}}{\text{5 kg}}[/tex]

[tex]\boxed{a = \text{1.8 m/}\text{s}^{2}}[/tex]

Therefore, the acceleration of the object is 1.8 m/s².

[tex]\\[/tex]

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