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Two different unknown masses A and B collide. A is initially at rest when B has a speed v. After collision B has a speed v/2 and moves at right angles to its original direction of motion. Find

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प्रश्न

Two different unknown masses A and B collide. A is initially at rest when B has a speed v. After collision B has a speed v/2 and moves at right angles to its original direction of motion. Find the direction in which A moves after the collision.

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उत्तर

Given:

`u_2 = v, u_1 = 0`

`v_2 = v/2, theta = ?`

Component along x-axis

`m_1v_1 costheta = m_2v` ..................(1)

Component along y-axis

`m_1v_1 sintheta = m_2(v/2)` ..................(2) 

from (1) and (2)

`tan theta = ((v/2))/v = 1/2;`

`theta = tan^-1(1/2) = tan^-1(0.5); theta = 26^circ33^'.`

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पाठ 4: Work, Energy and Power - Evaluation [पृष्ठ २०५]

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सामाचीर कलवी Physics - Volume 1 and 2 [English] Class 11 TN Board
पाठ 4 Work, Energy and Power
Evaluation | Q IV. 4. | पृष्ठ २०५

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