AP EAMCET · PHYSICS · Laws of Motion
A body of mass 5 kg starts from the origin with an initial velocity \((30 \hat{\mathrm{i}}+40 \hat{\mathrm{j}}) \mathrm{ms}^{-1}\). If a constant force \(-(\hat{\mathrm{i}}+5 \hat{\mathrm{j}}) \mathrm{N}\) acts on the body, then the time in which the y-component of its velocity becomes zero is
- A 5 s
- B 20 s
- C 40 s
- D 80 s
Answer & Solution
Correct Answer
(C) 40 s
Step-by-step Solution
Detailed explanation
\(a_y = \frac{F_y}{m}\) \(a_y = \frac{-5}{5} = -1 \mathrm{~ms}^{-2}\) \(v_y = u_y + a_y t\) \(0 = 40 + (-1)t\) \(t = 40 \mathrm{~s}\)
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