AP EAMCET · PHYSICS · Center of Mass Momentum and Collision
A freely falling body has attained a velocity of \(2 \mathrm{~ms}^{-1}\). Now, if the weight of the body is opposed by upward air resistance, then the total distance travelled before stopping is
- A \(4 \mathrm{~m}\)
- B \(8 \mathrm{~m}\)
- C \(0.2 \mathrm{~m}\)
- D \(0.4 \mathrm{~m}\)
Answer & Solution
Correct Answer
(B) \(8 \mathrm{~m}\)
Step-by-step Solution
Detailed explanation
Using conservation of momentum \(\begin{aligned} & m u=m\left(v_1+v_2+v_3\right) \\ & 0=\hat{i} v+\hat{j} v+v_3 \\ & \Rightarrow v_3=-\hat{i} v-\hat{j} v \\ & \left|v_3\right|=\sqrt{2} v\end{aligned}\)
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