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A child pulls a rope attached to a stone with a force of 60 N. The rope makes an angle of 60 degrees to the ground. What is the effective force along the horizontal direction?

  1. 45.96 N
  2. 40.3 N
  3. 28 N
  4. 30 N

Answer (Detailed Solution Below)

Option 4 : 30 N
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Detailed Solution

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option(4)

CONCEPT:​

  • Resolution of vectors into components: We have a vector (F) where the magnitude of the vector is F and the angle with horizontal is θ.

F1 a.P 12.3.20 Pallavi D4

The vector has two components: 1. Vertical component and 2. Horizontal component

Vertical component (Fy) = F Sinθ

Horizontal component (Fx) = F Cosθ 

CALCULATION:

The horizontal component is responsible to move the stone along the ground.

 \(\vec F =F_x = Fcosθ \)

Fx = 60cos60°  = 30 N

Hence, the effective value of the pull tending to move the stone on the ground is 30 N.

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