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PHXI06:WORK ENERGY AND POWER

355320 Two particles of different masses collide head on. Then for the system

1 Loss of

K . E

is zero, if it were perfect elastic collision

2 If it were perfect inelastic collision, the loss of

K . E

of the bodies moving in opposite directions is more than that of the bodies moving in the same direction

3 Loss of momentum is zero for both elastic and inelastic collision

4 1, 2 and 3 are correct

PHXI06:WORK ENERGY AND POWER

355321 In the figure, pendulum bob on left side is pulled a side to a height $h$ from its initial position. After it is released it collides with the right pendulum bob at rest, which is of same mass. After the collision, the two bobs stick together and rise to a height.
supporting img

1

\frac{3 h}{4}

2

\frac{2 h}{3}

3

\frac{h}{2}

4

\frac{h}{4}

Explanation:

When bob $A$ strikes the bob $B$ , then $m u = (m + n) v^{'}$
supporting img

$\Rightarrow v^{'} = \frac{u}{2}$
The potential energy of $A$ at height $h$ converts into kinetic energy of this mass, at point $O$ , i.e.
$m g h = \frac{1}{2} m u^{2} or u = \sqrt{2 g h}$
$∴ v^{'} = \frac{\sqrt{2 g h}}{2} = \frac{\sqrt{g h}}{2}$
Let combined mass moves to a height h', then
$2 m g h^{'} = \frac{1}{2} (2 m) v^{' 2} \Rightarrow g h^{'} = \frac{g h}{4} \Rightarrow h^{'} = \frac{h}{4}$

PHXI06:WORK ENERGY AND POWER

355322 A body of mass 2 $k g$ moving with a velocity of 3 $m / s$ collides head-on with a body of mass 1 $k g$ moving in opposite direction with a velocity of 4 $m / s$ . After collision two bodies stick together and moves with a common velocity which in $m / s$ is equal to

1

\frac{1}{3}

2

\frac{1}{4}

3

\frac{2}{3}

4

\frac{3}{4}

Explanation:

$m_{1} v_{1} - m_{2} v_{2} = (m_{1} + m_{2}) v$
$\Rightarrow 2 \times 3 - 1 \times 4 = (2 + 1) v$
$6 - 4 = 3 v$
$2 = 3 v \Rightarrow v = \frac{2}{3} m / s$

NCERT Exemplar

PHXI06:WORK ENERGY AND POWER

355323 When two bodies stick together after collision, the collision is said to be

1 partially elastic

2 elastic

3 inelastic

4 perfectly inelastic

PHXI06:WORK ENERGY AND POWER

355320 Two particles of different masses collide head on. Then for the system

1 Loss of

K . E

is zero, if it were perfect elastic collision

2 If it were perfect inelastic collision, the loss of

K . E

of the bodies moving in opposite directions is more than that of the bodies moving in the same direction

3 Loss of momentum is zero for both elastic and inelastic collision

4 1, 2 and 3 are correct

PHXI06:WORK ENERGY AND POWER

355321 In the figure, pendulum bob on left side is pulled a side to a height $h$ from its initial position. After it is released it collides with the right pendulum bob at rest, which is of same mass. After the collision, the two bobs stick together and rise to a height.
supporting img

1

\frac{3 h}{4}

2

\frac{2 h}{3}

3

\frac{h}{2}

4

\frac{h}{4}

Explanation:

When bob $A$ strikes the bob $B$ , then $m u = (m + n) v^{'}$
supporting img

$\Rightarrow v^{'} = \frac{u}{2}$
The potential energy of $A$ at height $h$ converts into kinetic energy of this mass, at point $O$ , i.e.
$m g h = \frac{1}{2} m u^{2} or u = \sqrt{2 g h}$
$∴ v^{'} = \frac{\sqrt{2 g h}}{2} = \frac{\sqrt{g h}}{2}$
Let combined mass moves to a height h', then
$2 m g h^{'} = \frac{1}{2} (2 m) v^{' 2} \Rightarrow g h^{'} = \frac{g h}{4} \Rightarrow h^{'} = \frac{h}{4}$

PHXI06:WORK ENERGY AND POWER

355322 A body of mass 2 $k g$ moving with a velocity of 3 $m / s$ collides head-on with a body of mass 1 $k g$ moving in opposite direction with a velocity of 4 $m / s$ . After collision two bodies stick together and moves with a common velocity which in $m / s$ is equal to

1

\frac{1}{3}

2

\frac{1}{4}

3

\frac{2}{3}

4

\frac{3}{4}

Explanation:

$m_{1} v_{1} - m_{2} v_{2} = (m_{1} + m_{2}) v$
$\Rightarrow 2 \times 3 - 1 \times 4 = (2 + 1) v$
$6 - 4 = 3 v$
$2 = 3 v \Rightarrow v = \frac{2}{3} m / s$

NCERT Exemplar

PHXI06:WORK ENERGY AND POWER

355323 When two bodies stick together after collision, the collision is said to be

1 partially elastic

2 elastic

3 inelastic

4 perfectly inelastic

PHXI06:WORK ENERGY AND POWER

355320 Two particles of different masses collide head on. Then for the system

1 Loss of

K . E

is zero, if it were perfect elastic collision

2 If it were perfect inelastic collision, the loss of

K . E

of the bodies moving in opposite directions is more than that of the bodies moving in the same direction

3 Loss of momentum is zero for both elastic and inelastic collision

4 1, 2 and 3 are correct

PHXI06:WORK ENERGY AND POWER

355321 In the figure, pendulum bob on left side is pulled a side to a height $h$ from its initial position. After it is released it collides with the right pendulum bob at rest, which is of same mass. After the collision, the two bobs stick together and rise to a height.
supporting img

1

\frac{3 h}{4}

2

\frac{2 h}{3}

3

\frac{h}{2}

4

\frac{h}{4}

Explanation:

When bob $A$ strikes the bob $B$ , then $m u = (m + n) v^{'}$
supporting img

$\Rightarrow v^{'} = \frac{u}{2}$
The potential energy of $A$ at height $h$ converts into kinetic energy of this mass, at point $O$ , i.e.
$m g h = \frac{1}{2} m u^{2} or u = \sqrt{2 g h}$
$∴ v^{'} = \frac{\sqrt{2 g h}}{2} = \frac{\sqrt{g h}}{2}$
Let combined mass moves to a height h', then
$2 m g h^{'} = \frac{1}{2} (2 m) v^{' 2} \Rightarrow g h^{'} = \frac{g h}{4} \Rightarrow h^{'} = \frac{h}{4}$

PHXI06:WORK ENERGY AND POWER

355322 A body of mass 2 $k g$ moving with a velocity of 3 $m / s$ collides head-on with a body of mass 1 $k g$ moving in opposite direction with a velocity of 4 $m / s$ . After collision two bodies stick together and moves with a common velocity which in $m / s$ is equal to

1

\frac{1}{3}

2

\frac{1}{4}

3

\frac{2}{3}

4

\frac{3}{4}

Explanation:

$m_{1} v_{1} - m_{2} v_{2} = (m_{1} + m_{2}) v$
$\Rightarrow 2 \times 3 - 1 \times 4 = (2 + 1) v$
$6 - 4 = 3 v$
$2 = 3 v \Rightarrow v = \frac{2}{3} m / s$

NCERT Exemplar

PHXI06:WORK ENERGY AND POWER

355323 When two bodies stick together after collision, the collision is said to be

1 partially elastic

2 elastic

3 inelastic

4 perfectly inelastic

PHXI06:WORK ENERGY AND POWER

355320 Two particles of different masses collide head on. Then for the system

1 Loss of

K . E

is zero, if it were perfect elastic collision

2 If it were perfect inelastic collision, the loss of

K . E

of the bodies moving in opposite directions is more than that of the bodies moving in the same direction

3 Loss of momentum is zero for both elastic and inelastic collision

4 1, 2 and 3 are correct

PHXI06:WORK ENERGY AND POWER

355321 In the figure, pendulum bob on left side is pulled a side to a height $h$ from its initial position. After it is released it collides with the right pendulum bob at rest, which is of same mass. After the collision, the two bobs stick together and rise to a height.
supporting img

1

\frac{3 h}{4}

2

\frac{2 h}{3}

3

\frac{h}{2}

4

\frac{h}{4}

Explanation:

When bob $A$ strikes the bob $B$ , then $m u = (m + n) v^{'}$
supporting img

$\Rightarrow v^{'} = \frac{u}{2}$
The potential energy of $A$ at height $h$ converts into kinetic energy of this mass, at point $O$ , i.e.
$m g h = \frac{1}{2} m u^{2} or u = \sqrt{2 g h}$
$∴ v^{'} = \frac{\sqrt{2 g h}}{2} = \frac{\sqrt{g h}}{2}$
Let combined mass moves to a height h', then
$2 m g h^{'} = \frac{1}{2} (2 m) v^{' 2} \Rightarrow g h^{'} = \frac{g h}{4} \Rightarrow h^{'} = \frac{h}{4}$

PHXI06:WORK ENERGY AND POWER

355322 A body of mass 2 $k g$ moving with a velocity of 3 $m / s$ collides head-on with a body of mass 1 $k g$ moving in opposite direction with a velocity of 4 $m / s$ . After collision two bodies stick together and moves with a common velocity which in $m / s$ is equal to

1

\frac{1}{3}

2

\frac{1}{4}

3

\frac{2}{3}

4

\frac{3}{4}

Explanation:

$m_{1} v_{1} - m_{2} v_{2} = (m_{1} + m_{2}) v$
$\Rightarrow 2 \times 3 - 1 \times 4 = (2 + 1) v$
$6 - 4 = 3 v$
$2 = 3 v \Rightarrow v = \frac{2}{3} m / s$

NCERT Exemplar

PHXI06:WORK ENERGY AND POWER

355323 When two bodies stick together after collision, the collision is said to be

1 partially elastic

2 elastic

3 inelastic

4 perfectly inelastic

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