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On a frictionless horizontal surface, assumed to be x y plane,

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On a frictionless horizontal surface, assumed to be $x y$ plane, a small trolley $A$ is moving along a straight line parallel to $y$ -axis with a constant velocity of $(3 - 1) ms^{- 1}$ . At a particular instant, when line $O A$ makes an angle of $4 5^{\circ}$ with $x$ -axis, a ball is thrown along the surface from the origin $O$ . Its velocity makes an angle $ϕ$ with $x$ -axis and it hits the trolley.

(i) The motion of the ball is observed from the frame of the trolley. Calculate the angle $θ$ made by the velocity vector of the ball with $x$ -axis in this frame.
(ii) Find the speed of the ball with respect to the surface if $ϕ = \frac{4 θ}{3}$ .

Views: 5,403 students

Updated on: Feb 27, 2024

Book:

Physics for JEE Main and Advanced Mechanics 1 (McGraw Hill)

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On a frictionless horizontal surface, assumed to be

x y

plane, a small trolley

A

is moving along a straight line parallel to

y

-axis with a constant velocity of

(3 - 1) ms^{- 1}

. At a particular instant, when line

O A

makes an angle of

4 5^{\circ}

with

x

-axis, a ball is thrown along the surface from the origin

O

. Its velocity makes an angle

ϕ

with

x

-axis and it hits the trolley.

(i) The motion of the ball is observed from the frame of the trolley. Calculate the angle

θ

made by the velocity vector of the ball with

x

-axis in this frame.
(ii) Find the speed of the ball with respect to the surface if

ϕ = \frac{4 θ}{3}

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Question Text	On a frictionless horizontal surface, assumed to be $x y$ plane, a small trolley $A$ is moving along a straight line parallel to $y$ -axis with a constant velocity of $(3 - 1) ms^{- 1}$ . At a particular instant, when line $O A$ makes an angle of $4 5^{\circ}$ with $x$ -axis, a ball is thrown along the surface from the origin $O$ . Its velocity makes an angle $ϕ$ with $x$ -axis and it hits the trolley. (i) The motion of the ball is observed from the frame of the trolley. Calculate the angle $θ$ made by the velocity vector of the ball with $x$ -axis in this frame. (ii) Find the speed of the ball with respect to the surface if $ϕ = \frac{4 θ}{3}$ .
Updated On	Feb 27, 2024
Topic	Motion in a Plane
Subject	Physics
Class	Class 11
Answer Type	Text solution:1 Video solution: 3
Upvotes	398
Avg. Video Duration	14 min

Text solutionVerified

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Filo tutor solutions (3)

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