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CGP EDU Academic Team
Published on: September 12, 2026
A body of mass 5 kg starts from the origin with an initial velocity \(\vec{u} = 30 \hat{i} + 40 \hat{j} \, ms^{-1}\) . If a constant force \vec{F} = -( \hat{i} + 5 \hat{j} ) N acts on the body, the time in which the y–component of the velocity becomes zero is
Text Solution
Verified by ExpertsThe correct answer is:
C
\(u_{y} = 40 \, m/s\) , \(F_{y} = 5\, \mathrm{N}\) , \(m = 5 \, \mathrm{kg}\) .
So \(a_y = \frac{F_y}{m} = -1\ \mathrm{m/s^2}\) (As \(\mathbf{v} = \mathbf{u} + \mathbf{a} t\) )
∴ ∴ \(\nu_{y} = 40 - 1 \times t = 0\) ⇒ ⇒ \(t = 40 \mathrm{sec}\) .
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