Two forces, F1 and F2, are applied to a block on a frictionless, horizontal surface
as shown below. If the magnitude of the block's acceleration is 2.0 meters per
second2, what is the mass of the block? *
F, = 12 N
F2 =2N
Block
Frictionless surface

Respuesta :

Answer:

F, = 12N. F, = 2 N. Block. 4) a 20.0-kg mass moving at 1.00 m/s.

Explanation:

The mass of the block on the frictionless horizontal surface is 5 kg.

The given parameters;

  • magnitude of the first force, F₁ = 12 N
  • magnitude of the second force, F₂ = 2 N
  • acceleration of the block, a = 2 m/sÂČ

The mass of the block is determined by applying Newton's second law of motion;

F = ma

[tex]\Sigma F = ma\\\\F_1 - F_2 = ma\\\\12 - 2 = 2m\\\\10 = 2m\\\\m = 5 \ kg[/tex]

Thus, the mass of the block on the frictionless horizontal surface is 5 kg.

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