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A box is pushed with an applied force of 20 N parallel to the floor. It accelerated at 1.50m/s^2 to the right. A parallel applied force of 10 N on the opposite side slowed down the motion of the box. Neglecting friction, what is the mass of the box?​


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

The force acting on an object is given by

[tex]\boxed{F = ma}[/tex]

where:

F = force

m = mass

a = acceleration

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

Solving for F

F = 20 N - 10 N

F = 10 N

Solving for m

F = ma

[tex]\dfrac{F}{a} = \dfrac{ma}{a}[/tex]

[tex]m = \dfrac{F}{a}[/tex]

[tex]m = \dfrac{\text{10 N}}{\text{1.50 m/}\text{s}^{2}}[/tex]

[tex]\boxed{m = \text{6.67 kg}}[/tex]

Therefore, the mass of the box is 6.67 kg.

[tex]\\[/tex]

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