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