Question

A force of $15N$ acts on a box as shown in Figure. What are the horizontal component and vertical components of the force?

• A. Horizontal component $F_x=7.5N$
  Vertical component $F_y=12.99N$
• B. Horizontal component $F_x=16N$
  Vertical component $F_y=13.99N$
• C. Horizontal component $F_x=17N$
  Vertical component $F_y=14.99N$
• D. Horizontal component $F_x=15N$
  Vertical component $F_y=15N$

Answer 1

The correct option is A Horizontal component $F_x=7.5N$

Vertical component $F_y=12.99N$
Horizontal component, $F_x=15\cos {60}^0$

$=15\times \frac{1}{2}$

$=7.5N$

Vertical component $F_y=15\sin {60}^0$

$=15\times \frac{\sqrt{3}}{2}$

$=7.5\sqrt{3}N$

$=12.99N$