A horizontal force of 24 N is being applied to a box on a level surface. The box is accelerating at the rate of 2.0 against a frictional force of 14 N. What is the mass of the box?

Respuesta :

Answer:

For SI units the mass m = 5 kg.

Explanation:

The sum of all horizontal forces is must be equal to maₓ:

∑Fₓ = maₓ = 24N - 14N = 10N

maₓ = 10N

m = 10N / aₓ = 10N / 2 m/s² = 5 m/s

The mass of the box will be "5 kg".

Given:

  • Horizontal force = 24 N
  • Acceleration = 2.0 m/s²
  • Frictional force = 14 N

The sum of horizontal forces will be:

→ [tex]\sum F_x = ma_x[/tex]

            [tex]= 24-14[/tex]

            [tex]= 10 \ N[/tex]

hence,

The mass will be:

→ [tex]m = \frac{10}{a}[/tex]

       [tex]= \frac{10}{2}[/tex]

       [tex]= 5 \ kg[/tex]

Thus the aforementioned answer is correct.

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