AP EAMCET · PHYSICS · Mathematics in Physics
If the magnitude of a vector \(\overrightarrow{\mathrm{p}}\) is 25 units and its y-component is 7 units, then its \(x\)-component is
- A 24 units
- B 18 units
- C 32 units
- D 16 units
Answer & Solution
Correct Answer
(A) 24 units
Step-by-step Solution
Detailed explanation
\( |\overrightarrow{\mathrm{p}}|^2 = p_x^2 + p_y^2 \) \( 25^2 = p_x^2 + 7^2 \) \( 625 = p_x^2 + 49 \) \( p_x^2 = 625 - 49 = 576 \) \( p_x = \sqrt{576} = 24 \) units
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