If a force vector \(\bar F\) = 3\(\hat i\) – 4\(\hat j\) N produc

1.	If a force vector \(\bar F\) = 3\(\hat i\) – 4\(\hat j\) N produces an acceleration of 10-2 ms on a body, then the mass of a body is – (a) 10 kg (b) 9 kg (c) 0.9 kg(d) 0.5 kg
Answer» \(\bar F\) = 3\(\hat i\) - 4\(\hat j\) Magnitude: \({\|\bar F\|}\) = \(\sqrt{ 9+ 16}\) = \(\sqrt {25}\) = 5N F = ma ⇒ m =\(\frac{\|\bar F\|}{a}\) = \(\frac{5}{10}\) =\(\frac{1}{2}\) = 0.5 kg

If a force vector \(\bar F\) = 3\(\hat i\) – 4\(\hat j\) N produces an acceleration of 10-2 ms on a body, then the mass of a body is – (a) 10 kg (b) 9 kg (c) 0.9 kg(d) 0.5 kg

Answer»

\(\bar F\) = 3\(\hat i\) - 4\(\hat j\)

Magnitude:

\({|\bar F|}\) = \(\sqrt{ 9+ 16}\) = \(\sqrt {25}\) = 5N

F = ma

⇒ m =\(\frac{|\bar F|}{a}\) = \(\frac{5}{10}\) =\(\frac{1}{2}\) = 0.5 kg