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A horizontal force of 15N is needed to keep a box sliding on a horizontal floor at a constant speed of 0.5m/s. The speed of the box is increased to 1.5m/s by some means (which is not the concern of this question). What horizontal force would be needed to keep the same box sliding on the same horizontal floor at a constant speed of 1.5m/s?

Respuesta :

onyebuchinnaji

The horizontal force needed to keep the same box sliding on the same horizontal floor at a given constant speed is 45 N.

Horizontal force

The horizontal force needed to keep the same box sliding on the same horizontal floor at a given constant speed is calculated as follows;

[tex]F= \frac{mv}{t} \\\\mv = Ft\\\\m = \frac{Ft}{v} \\\\\frac{F_1}{v_1} = \frac{F_2}{v_2}[/tex]

where;

  • v1 is the initial velocity
  • v2 is the final velocity

[tex]F_2 = \frac{F_1v_2}{v_1} \\\\F_2 = \frac{15 \times 1.5}{0.5} \\\\F_2 = 45 \ N[/tex]

Thus, the horizontal force needed to keep the same box sliding on the same horizontal floor at a given constant speed is 45 N.

Learn more about horizontal force here: https://brainly.com/question/12979825

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