Two particles A and B , move with constant velocities v 1 → and v → 2 . At the initial moment, their position vectors are r → 1 and r → 2 , respectively. The condition for particle A and B for their collision is,

r → 1 - r → 2 r → 1 - r → 2 = v → 2 - v → 1 v → 2 - v → 1

r → 1 - r → 2 = v → 1 - v → 2

r → 1 · v → 1 = r → 2 · v → 2

Two particles A and B , move with constant velocities v 1 → and v → 2 . At the initial moment, their position vectors are r → 1 and r → 2 , respectively. The condition for particle A and B for their collision is,

r → 1 - r → 2 r → 1 - r → 2 = v → 2 - v → 1 v → 2 - v → 1

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IMPORTANT

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Two particles $A$ and $B$ , move with constant velocities $\vec{v_{1}}$ and ${\vec{v}}_{2}$ . At the initial moment, their position vectors are ${\vec{r}}_{1}$ and ${\vec{r}}_{2}$ , respectively. The condition for particle $A$ and $B$ for their collision is,

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Important Questions on Force

EASY

MHT-CET

IMPORTANT

MHT-CET TRIUMPH Physics Multiple Choice Questions Part - 1 Based on Std. XI & XII Syllabus of MHT-CET>Chapter 3 - Force>Competitive Thinking>Q 55

Two particles of masses

m_{1}, m_{2}

move with initial velocities

u_{1}

and

u_{2}

. On collision, one of the particles get excited to higher level after absorbing energy

ε

. If final velocities of particles be

v_{1}

and

v_{2}

, then we must have,

EASY

MHT-CET

IMPORTANT

MHT-CET TRIUMPH Physics Multiple Choice Questions Part - 1 Based on Std. XI & XII Syllabus of MHT-CET>Chapter 3 - Force>Competitive Thinking>Q 56

Dimensional formula for coefficient of restitution

MEDIUM

MHT-CET

IMPORTANT

MHT-CET TRIUMPH Physics Multiple Choice Questions Part - 1 Based on Std. XI & XII Syllabus of MHT-CET>Chapter 3 - Force>Competitive Thinking>Q 57

A sphere of mass

' m'

moving with velocity

' v'

collides head-on on another sphere of same mass which is at rest. The ratio of final velocity of the second sphere to the initial velocity of the first sphere is

(e

is coefficient of restitution and collision is inelastic)

MEDIUM

MHT-CET

IMPORTANT

MHT-CET TRIUMPH Physics Multiple Choice Questions Part - 1 Based on Std. XI & XII Syllabus of MHT-CET>Chapter 3 - Force>Competitive Thinking>Q 58

A moving block having mass

m

, collides with another stationary block having mass

4 m

. The lighter block comes to rest after collision. When the initial velocity of the lighter block is

v,

then the value of the coefficient of restitution

(e)

will be

EASY

MHT-CET

IMPORTANT

MHT-CET TRIUMPH Physics Multiple Choice Questions Part - 1 Based on Std. XI & XII Syllabus of MHT-CET>Chapter 3 - Force>Competitive Thinking>Q 59

A particle falls from a height

h

on a fixed horizontal surface and rebounds. If

e

is the coefficient of restitution, then the total distance travelled by the particle before it stops rebounding is,

HARD

MHT-CET

IMPORTANT

MHT-CET TRIUMPH Physics Multiple Choice Questions Part - 1 Based on Std. XI & XII Syllabus of MHT-CET>Chapter 3 - Force>Competitive Thinking>Q 60

A small steel ball bounces on a steel plate held horizontally. On each bounce, the speed of the ball arriving at the plate is reduced by a factor

e

(coefficient of restitution) in the rebound, so that

v_{upward} = e v_{downward}

. If the ball is initially dropped from a height of

0.4 m

above the plate and if

10 s

later the bouncing ceases, the value of

e

is,

MEDIUM

MHT-CET

IMPORTANT

MHT-CET TRIUMPH Physics Multiple Choice Questions Part - 1 Based on Std. XI & XII Syllabus of MHT-CET>Chapter 3 - Force>Competitive Thinking>Q 61

A ball moving with velocity

2 m s^{- 1}

collides head-on with another stationary ball of double mass. If the coefficient of restitution is

0.5,

then their velocities (in

m s^{- 1}

) after the collision will be

HARD

MHT-CET

IMPORTANT

MHT-CET TRIUMPH Physics Multiple Choice Questions Part - 1 Based on Std. XI & XII Syllabus of MHT-CET>Chapter 3 - Force>Competitive Thinking>Q 62

A ball is thrown vertically down from a height of

40 m

from the ground with an initial velocity

' v'

. The ball hits the ground, loses

\frac{1}{3}

of its total mechanical energy and rebounds back to the same height. If the acceleration due to gravity is

10 m s^{- 2},

the value of

' v'

Two particles A and B, move with constant velocities v1→ and v→2. At the initial moment, their position vectors are r→1 and r→2, respectively. The condition for particle A and B for their collision is,

Important Questions on Force

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Two particles $A$ and $B$ , move with constant velocities $\vec{v_{1}}$ and ${\vec{v}}_{2}$ . At the initial moment, their position vectors are ${\vec{r}}_{1}$ and ${\vec{r}}_{2}$ , respectively. The condition for particle $A$ and $B$ for their collision is,