A) F=ma
B) \[F=\frac{m}{a}\]
C) \[\operatorname{F}=m{{a}^{2}}\]
D) \[F={{a}^{2}}m\]
Correct Answer: A
Solution :
| [a] The Newton's second law of motion can be expressed as |
| \[\operatorname{Force}\propto \frac{Change in momentum}{Time\ taken}\] |
| \[\Rightarrow \]\[\operatorname{F}\propto \frac{mv-mu}{t}\] |
| \[\Rightarrow \] \[\operatorname{F}\propto \frac{m(v-u)}{t}\] \[\left[ \because a=\frac{(v-u)}{t} \right]\] |
| \[\therefore \ \ \ \ \operatorname{F}\propto ma\] |
| \[\Rightarrow \] F = kma [where, k is constant] |
| But the value of constant k is 1. |
| So, the numerical formula for force is F = ma. |
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