SATHEE: Work Energy and Power - Result Question 45

Work Energy and Power - Result Question 45

48. A particle of mass $5 m$ at rest suddenly breaks on its own into three fragments. Two fragments of mass $m$ each move along mutually perpendicular direction with speed $v$ each. The energy released during the process is,

[NEET Odisha 2019]

(a) $\frac{4}{3} m v^{2}$

(b) $\frac{3}{5} m v^{2}$

(d) $\frac{3}{2} m v^{2}$

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Answer:

Correct Answer: 48. (a)

Solution:

(a) From conservation of linear momentum.

$0 = m v \hat{j} + m v \hat{i} + 3 m {\vec{v}}_{1}$ ${\vec{v}}_{1} = - \frac{v}{3} (\hat{i} + \hat{j})$ $v_{1} = \frac{\sqrt{2}}{3} v$ $K_{f} = \frac{1}{2} m v^{2} + \frac{1}{2} m v^{2} + \frac{1}{2} (3 m) (\frac{\sqrt{2}}{3})^{2} v^{2}$ $= m v^{2} + \frac{m v^{2}}{3} = \frac{4}{3} m v^{2}$ $Δ K E = K_{f} - K_{i} = \frac{4}{3} m v^{2}$

Work Energy and Power - Result Question 45

48. A particle of mass $5 m$ at rest suddenly breaks on its own into three fragments. Two fragments of mass $m$ each move along mutually perpendicular direction with speed $v$ each. The energy released during the process is,

Answer:

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Work Energy and Power - Result Question 45

48. A particle of mass 5m at rest suddenly breaks on its own into three fragments. Two fragments of mass m each move along mutually perpendicular direction with speed v each. The energy released during the process is,

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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48. A particle of mass $5 m$ at rest suddenly breaks on its own into three fragments. Two fragments of mass $m$ each move along mutually perpendicular direction with speed $v$ each. The energy released during the process is,