A bead of mass `2.5xx10^(-4)` kg is suspended from a cord. A steady horizontal breeze pushes the bead so that the cord makes a constant angle of `40^(@)` with the vertical. Find (a) the tension in the cord and (b) the push magnitude.

Explanation

To solve the problem step by step, we will analyze the forces acting on the bead and use trigonometric relationships to find the tension in the cord and the push magnitude.

### Step 1: Identify the forces acting on the bead
The forces acting on the bead are:
- The weight of the bead (mg) acting vertically downward.
- The tension (T) in the cord acting along the cord.
- The horizontal push (F) acting horizontally.

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