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Elastic and Inelastic Collision

A particle of mass m is projected from the ground with an init

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A particle of mass $m$ is projected from the ground with an initial speed $u_{0}$ at an angle $α$ with the horizontal. At the highest point of its trajectory, it makes a completely inelastic collision with another identical particle, which was thrown vertically upward from the ground with the same initial speed $u_{0}$ . The angle that the composite system makes with the horizontal immediately after the collision is

Name: Video solution 1: A particle of mass m is projected from the ground with an initial speed u0 at an angle α with the horizontal. At the highest point of its trajectory, it makes a completely inelastic collision with another identical particle, which was thrown vertically upward from the ground with the same initial speed u0. The angle that the composite system makes with the horizontal immediately after the collision is
Uploaded: 2023-10-15T05:48:43.000Z
Duration: 2 min

\frac{π}{4}

\frac{π}{4} + α

\frac{π}{4} - α

\frac{π}{2}

Views: 5,746 students

Updated on: Dec 6, 2023

Book:

Mechanics Volume 2 (DC Pandey)

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Samuel Discussed

A particle of mass

m

is projected from the ground with an initial speed

u_{0}

at an angle

α

with the horizontal. At the highest point of its trajectory, it makes a completely inelastic collision with another identical particle, which was thrown vertically upward from the ground with the same initial speed

u_{0}

. The angle that the composite system makes with the horizontal immediately after the collision is

7 mins ago

Discuss this question LIVE

7 mins ago

Text solutionVerified

(a) From momentum conservation equation, we have,
Solution Image

∴ m (u_{0} cos α) \hat{i} + m (u_{0}^{2} - 2 g H) \hat{j} = (2 m) v H = \frac{u _{0}^{2} s i n ^{2} α}{2 g}

From Eqs. (i) and (ii)

v = \frac{u _{0} c o s α}{2} \hat{i} + \frac{u _{0} c o s α}{2} \hat{j}

Since both components of

v

are equal. Therefore, it is making

4 5^{\circ}

with horizontal.

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Question Text	A particle of mass $m$ is projected from the ground with an initial speed $u_{0}$ at an angle $α$ with the horizontal. At the highest point of its trajectory, it makes a completely inelastic collision with another identical particle, which was thrown vertically upward from the ground with the same initial speed $u_{0}$ . The angle that the composite system makes with the horizontal immediately after the collision is
Updated On	Dec 6, 2023
Topic	Work, Energy and Power
Subject	Physics
Class	Class 11
Answer Type	Text solution:1 Video solution: 2
Upvotes	263
Avg. Video Duration	4 min

Text solutionVerified

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Text solutionVerified

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