SATHEE: Work Energy and Power - Result Question 43

Work Energy and Power - Result Question 43

46. An object flying in air with velocity $(20 \hat{i} + 25 \hat{j} - 12 \hat{k})$ suddenly breaks into two pieces whose masses are in the ratio $1 : 5$ . The smaller mass flies off with a velocity $(100 \hat{i} + 35 \hat{j} + 8 \hat{k})$ . The velocity of the larger piece will be

[NEET Odisha 2019]

(a) $- 20 \hat{i} - 15 \hat{j} - 80 \hat{k}$

(b) $4 \hat{i} + 23 \hat{j} - 16 \hat{k}$

(d) $20 \hat{i} + 15 \hat{j} - 80 \hat{k}$

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Answer:

Correct Answer: 46. (b)

Solution:

(b) ${\vec{P}}_{i} = {\vec{P}}_{f}$

$\begin{aligned} m {\vec{v}}_{i} = (\frac{m}{6} {\vec{v}}_{1} + \frac{5 m}{6} {\vec{v}}_{2}) \\ {\vec{v}}_{i} = (\frac{{\vec{v}}_{1}}{6} + \frac{5}{6} {\vec{v}}_{2}) \\ 20 \hat{i} + 25 \hat{j} - 12 \hat{k} = \frac{(100 \hat{i} + 35 \hat{j} + 8 \hat{k})}{6} + \frac{5 {\vec{v}}_{2}}{6} \\ {\vec{v}}_{2} = \frac{20 \hat{i} + 115 \hat{j} - 80 \hat{k}}{5} \\ ∴ {\vec{v}}_{2} = 4 \hat{i} + 23 \hat{j} - 16 \hat{k} \end{aligned}$

Work Energy and Power - Result Question 43

46. An object flying in air with velocity $(20 \hat{i} + 25 \hat{j} - 12 \hat{k})$ suddenly breaks into two pieces whose masses are in the ratio $1 : 5$ . The smaller mass flies off with a velocity $(100 \hat{i} + 35 \hat{j} + 8 \hat{k})$ . The velocity of the larger piece will be

Answer:

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Work Energy and Power - Result Question 43

46. An object flying in air with velocity (20i^+25j^−12k^) suddenly breaks into two pieces whose masses are in the ratio 1:5. The smaller mass flies off with a velocity (100i^+35j^+8k^). The velocity of the larger piece will be

Answer:

Engineering Preparation

Medical Preparation

NCERT Books & Solutions

Important Resources

Other Resources

Syllabus

Test Platform

Sample Mock Test

Mentorship

NCERT Exercise Video Solution

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46. An object flying in air with velocity $(20 \hat{i} + 25 \hat{j} - 12 \hat{k})$ suddenly breaks into two pieces whose masses are in the ratio $1 : 5$ . The smaller mass flies off with a velocity $(100 \hat{i} + 35 \hat{j} + 8 \hat{k})$ . The velocity of the larger piece will be