A) \[\left( -3\hat{j}+4\hat{j} \right)N\]
B) \[\left( -\frac{3}{5}\hat{i}+\frac{4}{5}\hat{j} \right)N\]
C) \[\left( 3\hat{i}-4\hat{j} \right)N\]
D) \[\left( \frac{3}{5}\hat{i}-\frac{4}{5}\hat{j} \right)N\]
Correct Answer: A
Solution :
[a] From question, |
Mass of body, m = 5 kg |
Velocity at t = 0, |
\[u=(6\hat{i}-2\hat{j})m/s\] |
Velocity at t = 10s, |
\[v=+6\hat{j}\,m/s\] |
Force, F = ? |
Acceleration, \[a=\frac{v-u}{t}\] |
\[=\frac{6\hat{j}-(6\hat{i}-2\hat{j})}{10}=\frac{-3\hat{i}+4\hat{j}}{5}m/{{s}^{2}}\] |
Force, F = ma |
\[=5\times \frac{(-3\hat{i}+4\hat{j})}{5}=(-3\hat{i}+4\hat{j})N\] |
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