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  4. A body of mass 5 kg starts from the origin with an initial velocity u=30 hat i +40 hat j m s-1. If a constant force -6 hati-5 hatj N acts on the body, the time (in seconds) in which the y component of the velocity becomes zero is

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Q. A body of mass $5 kg$ starts from the origin with an initial velocity $u=30 \hat{ i }+40 \hat{ j }$ $m s^{-1}$. If a constant force $-6 \hat{i}-5 \hat{j} \quad N$ acts on the body, the time (in seconds) in which the $y$ component of the velocity becomes zero is

NTA AbhyasNTA Abhyas 2022

Solution:

From Newton's second law of motion,
$F_{y}=\frac{\triangle P_{y}}{\triangle t}$
$\triangle t=\frac{\triangle P_{y}}{F_{y}}$
$=\frac{0-(5 \times 40)}{-5}=40 s$