AP EAMCET · PHYSICS · Laws of Motion
A body of mass \(5 \mathrm{~kg}\) starts from the origin with an initial velocity \(\mathbf{u}=30 \hat{\mathbf{i}}+40 \hat{\mathbf{j}} \mathrm{ms}^{-1}\). When a constant force \(\mathbf{F}=-(\hat{\mathbf{i}}+5 \hat{\mathbf{j}}) \mathrm{N}\) acts on the body, the time in which the \(y\)-component of the velocity becomes zero is
- A \(5 \mathrm{~s}\)
- B \(20 \mathrm{~s}\)
- C \(40 \mathrm{~s}\)
- D \(80 \mathrm{~s}\)
Answer & Solution
Correct Answer
(C) \(40 \mathrm{~s}\)
Step-by-step Solution
Detailed explanation
Given, \(\mathbf{u}=30 \hat{\mathrm{i}}+40 \hat{\mathrm{j}} \mathrm{ms}^{-1}\) Force, \(\mathbf{F}=-(\hat{\mathbf{i}}+5 \hat{\mathrm{j}}) \mathrm{N}\) \[ \begin{aligned} m & =5 \mathrm{~kg} \\ u_y & =40 \mathrm{~ms}^{-1}, F_y=-5 \mathrm{~N} \end{aligned} \] \(\therefore\)…
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