A uniform force of (\(2\hat i + \hat j\)) + N acts on a particle of ma

1.	A uniform force of (\(2\hat i + \hat j\)) + N acts on a particle of mass 1 kg. The particle displaces from position(\(3 \hat j +\hat k\)) m to (\(5\hat i + 3\hat j\)) m. Th e work done by the force on the particle is(a) 9 J (b) 6 J (c) 10 J (d) 12 J
Answer» Correct answer is (c) 10 J Given, Force, F = \(2 \hat i + \hat j\) \(\vec r_1\) = (\(3 \hat j + \hat k\)) m \(\vec r_2\) = (\(5 \hat i + 3\hat j\)) m Therefore, \(\vec S\) = \(\vec r_2\) - \(\vec r_1\) = (\(5 \hat i + 3\hat j\)) - (\(3 \hat j + \hat k\)) = \(5 \hat i + 3\hat j\) - \(3 \hat j - \hat k\) = ( \(5 \hat i - \hat k\)) m Therefore, \(W = \vec F.\vec S\) = (\(2 \hat i + \hat j\)).( \(5 \hat i - \hat k\)) = 10 J

A uniform force of (\(2\hat i + \hat j\)) + N acts on a particle of mass 1 kg. The particle displaces from position(\(3 \hat j +\hat k\)) m to (\(5\hat i + 3\hat j\)) m. Th e work done by the force on the particle is(a) 9 J (b) 6 J (c) 10 J (d) 12 J

Answer»

Correct answer is (c) 10 J

Given,

Force, F = \(2 \hat i + \hat j\)

\(\vec r_1\) = (\(3 \hat j + \hat k\)) m

\(\vec r_2\) = (\(5 \hat i + 3\hat j\)) m

Therefore,

\(\vec S\) = \(\vec r_2\) - \(\vec r_1\)

= (\(5 \hat i + 3\hat j\)) - (\(3 \hat j + \hat k\))

= \(5 \hat i + 3\hat j\) - \(3 \hat j - \hat k\)

= ( \(5 \hat i - \hat k\)) m

Therefore,

\(W = \vec F.\vec S\)

= (\(2 \hat i + \hat j\)).( \(5 \hat i - \hat k\))

= 10 J

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A uniform force of (\(2\hat i + \hat j\)) + N acts on a particle of mass 1 kg. The particle displaces from position(\(3 \hat j +\hat k\)) m to (\(5\hat i + 3\hat j\)) m. Th e work done by the force on the particle is(a) 9 J (b) 6 J (c) 10 J (d) 12 J

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