Collisions
PHXI06:WORK ENERGY AND POWER

355204 Assertion :
Quick collision between two bodies is more violent than a slow collision; even when the initial and final velocities are identical
Reason :
The momentum is greater in first case.

1 Both Assertion and Reason are correct and Reason is the correct explanation of the Assertion.
2 Both Assertion and Reason are correct but Reason is not the correct explanation of the Assertion.
3 Assertion is correct but Reason is incorrect.
4 Assertion is incorrect but reason is correct.
PHXI06:WORK ENERGY AND POWER

355205 Two particles masses \(m_{1}\) and \(m_{2}\) in projectile motion have velocities \(\vec{v}_{1}\) and \(\vec{v}_{2}\) respectively at time \(t=0\). They collide at time \(t_{0}\). Their velocities become \(\vec{v}_{1}^{\prime}\) and \(\vec{v}_{2}^{\prime}\) at time \(2 t_{0}\) while still moving in air. The value of \(\mid\left(m_{1} \vec{v}_{1}^{\prime}+m_{2} \vec{v}_{2}^{\prime}-\left(m_{1} \vec{v}_{1}+m_{2} \vec{v}_{2}\right) \mid\right.\) is

1 \(\left(m_{1}+m_{2}\right) g t_{0}\)
2 Zero
3 \(\dfrac{1}{2}\left(m_{1}+m_{2}\right) g t_{0}\)
4 \(2\left(m_{1}+m_{2}\right) g t_{0}\)
PHXI06:WORK ENERGY AND POWER

355206 Two balls at the same temperature collide, the conservable quantity is

1 Velocity
2 Momentum
3 Kinetic energy
4 Temperature
PHXI06:WORK ENERGY AND POWER

355207 Two astronauts, \(A\) and \(B\), both with mass of \(60\;kg\), are moving along a straight line in the same direction in a "weightless" spaceship. Relative to the spaceship the speed of \(A\) is \(2\;m{\rm{/}}s\) and that of \(B\) is \(1\;m{\rm{/}}s\). A is carrying a bag of mass \(5\;kg\) with him. To avoid collision with \(B, A\) throws the bag with a speed \(v\) relative to the spaceship towards \(B\) and \(B\) catches it. Find the minimum value of \(v\).
supporting img

1 \(7.8\;m{\rm{/}}s\)
2 \(26.0\;m{\rm{/}}s\)
3 \(14.0\;m{\rm{/}}s\)
4 \(9.2\;m{\rm{/}}s\)
PHXI06:WORK ENERGY AND POWER

355208 For a system to follow the law of conservation of linear momentum during a collision, the condition is
(i) total external force acting on the system is zero.
(ii) total external force acting on the system is finite and time of collision is negligible.
(iii) total internal force acting on the system is zero.

1 Only (i)
2 Only (ii)
3 Only(iii)
4 Only (i) or (ii)
PHXI06:WORK ENERGY AND POWER

355204 Assertion :
Quick collision between two bodies is more violent than a slow collision; even when the initial and final velocities are identical
Reason :
The momentum is greater in first case.

1 Both Assertion and Reason are correct and Reason is the correct explanation of the Assertion.
2 Both Assertion and Reason are correct but Reason is not the correct explanation of the Assertion.
3 Assertion is correct but Reason is incorrect.
4 Assertion is incorrect but reason is correct.
PHXI06:WORK ENERGY AND POWER

355205 Two particles masses \(m_{1}\) and \(m_{2}\) in projectile motion have velocities \(\vec{v}_{1}\) and \(\vec{v}_{2}\) respectively at time \(t=0\). They collide at time \(t_{0}\). Their velocities become \(\vec{v}_{1}^{\prime}\) and \(\vec{v}_{2}^{\prime}\) at time \(2 t_{0}\) while still moving in air. The value of \(\mid\left(m_{1} \vec{v}_{1}^{\prime}+m_{2} \vec{v}_{2}^{\prime}-\left(m_{1} \vec{v}_{1}+m_{2} \vec{v}_{2}\right) \mid\right.\) is

1 \(\left(m_{1}+m_{2}\right) g t_{0}\)
2 Zero
3 \(\dfrac{1}{2}\left(m_{1}+m_{2}\right) g t_{0}\)
4 \(2\left(m_{1}+m_{2}\right) g t_{0}\)
PHXI06:WORK ENERGY AND POWER

355206 Two balls at the same temperature collide, the conservable quantity is

1 Velocity
2 Momentum
3 Kinetic energy
4 Temperature
PHXI06:WORK ENERGY AND POWER

355207 Two astronauts, \(A\) and \(B\), both with mass of \(60\;kg\), are moving along a straight line in the same direction in a "weightless" spaceship. Relative to the spaceship the speed of \(A\) is \(2\;m{\rm{/}}s\) and that of \(B\) is \(1\;m{\rm{/}}s\). A is carrying a bag of mass \(5\;kg\) with him. To avoid collision with \(B, A\) throws the bag with a speed \(v\) relative to the spaceship towards \(B\) and \(B\) catches it. Find the minimum value of \(v\).
supporting img

1 \(7.8\;m{\rm{/}}s\)
2 \(26.0\;m{\rm{/}}s\)
3 \(14.0\;m{\rm{/}}s\)
4 \(9.2\;m{\rm{/}}s\)
PHXI06:WORK ENERGY AND POWER

355208 For a system to follow the law of conservation of linear momentum during a collision, the condition is
(i) total external force acting on the system is zero.
(ii) total external force acting on the system is finite and time of collision is negligible.
(iii) total internal force acting on the system is zero.

1 Only (i)
2 Only (ii)
3 Only(iii)
4 Only (i) or (ii)
PHXI06:WORK ENERGY AND POWER

355204 Assertion :
Quick collision between two bodies is more violent than a slow collision; even when the initial and final velocities are identical
Reason :
The momentum is greater in first case.

1 Both Assertion and Reason are correct and Reason is the correct explanation of the Assertion.
2 Both Assertion and Reason are correct but Reason is not the correct explanation of the Assertion.
3 Assertion is correct but Reason is incorrect.
4 Assertion is incorrect but reason is correct.
PHXI06:WORK ENERGY AND POWER

355205 Two particles masses \(m_{1}\) and \(m_{2}\) in projectile motion have velocities \(\vec{v}_{1}\) and \(\vec{v}_{2}\) respectively at time \(t=0\). They collide at time \(t_{0}\). Their velocities become \(\vec{v}_{1}^{\prime}\) and \(\vec{v}_{2}^{\prime}\) at time \(2 t_{0}\) while still moving in air. The value of \(\mid\left(m_{1} \vec{v}_{1}^{\prime}+m_{2} \vec{v}_{2}^{\prime}-\left(m_{1} \vec{v}_{1}+m_{2} \vec{v}_{2}\right) \mid\right.\) is

1 \(\left(m_{1}+m_{2}\right) g t_{0}\)
2 Zero
3 \(\dfrac{1}{2}\left(m_{1}+m_{2}\right) g t_{0}\)
4 \(2\left(m_{1}+m_{2}\right) g t_{0}\)
PHXI06:WORK ENERGY AND POWER

355206 Two balls at the same temperature collide, the conservable quantity is

1 Velocity
2 Momentum
3 Kinetic energy
4 Temperature
PHXI06:WORK ENERGY AND POWER

355207 Two astronauts, \(A\) and \(B\), both with mass of \(60\;kg\), are moving along a straight line in the same direction in a "weightless" spaceship. Relative to the spaceship the speed of \(A\) is \(2\;m{\rm{/}}s\) and that of \(B\) is \(1\;m{\rm{/}}s\). A is carrying a bag of mass \(5\;kg\) with him. To avoid collision with \(B, A\) throws the bag with a speed \(v\) relative to the spaceship towards \(B\) and \(B\) catches it. Find the minimum value of \(v\).
supporting img

1 \(7.8\;m{\rm{/}}s\)
2 \(26.0\;m{\rm{/}}s\)
3 \(14.0\;m{\rm{/}}s\)
4 \(9.2\;m{\rm{/}}s\)
PHXI06:WORK ENERGY AND POWER

355208 For a system to follow the law of conservation of linear momentum during a collision, the condition is
(i) total external force acting on the system is zero.
(ii) total external force acting on the system is finite and time of collision is negligible.
(iii) total internal force acting on the system is zero.

1 Only (i)
2 Only (ii)
3 Only(iii)
4 Only (i) or (ii)
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PHXI06:WORK ENERGY AND POWER

355204 Assertion :
Quick collision between two bodies is more violent than a slow collision; even when the initial and final velocities are identical
Reason :
The momentum is greater in first case.

1 Both Assertion and Reason are correct and Reason is the correct explanation of the Assertion.
2 Both Assertion and Reason are correct but Reason is not the correct explanation of the Assertion.
3 Assertion is correct but Reason is incorrect.
4 Assertion is incorrect but reason is correct.
PHXI06:WORK ENERGY AND POWER

355205 Two particles masses \(m_{1}\) and \(m_{2}\) in projectile motion have velocities \(\vec{v}_{1}\) and \(\vec{v}_{2}\) respectively at time \(t=0\). They collide at time \(t_{0}\). Their velocities become \(\vec{v}_{1}^{\prime}\) and \(\vec{v}_{2}^{\prime}\) at time \(2 t_{0}\) while still moving in air. The value of \(\mid\left(m_{1} \vec{v}_{1}^{\prime}+m_{2} \vec{v}_{2}^{\prime}-\left(m_{1} \vec{v}_{1}+m_{2} \vec{v}_{2}\right) \mid\right.\) is

1 \(\left(m_{1}+m_{2}\right) g t_{0}\)
2 Zero
3 \(\dfrac{1}{2}\left(m_{1}+m_{2}\right) g t_{0}\)
4 \(2\left(m_{1}+m_{2}\right) g t_{0}\)
PHXI06:WORK ENERGY AND POWER

355206 Two balls at the same temperature collide, the conservable quantity is

1 Velocity
2 Momentum
3 Kinetic energy
4 Temperature
PHXI06:WORK ENERGY AND POWER

355207 Two astronauts, \(A\) and \(B\), both with mass of \(60\;kg\), are moving along a straight line in the same direction in a "weightless" spaceship. Relative to the spaceship the speed of \(A\) is \(2\;m{\rm{/}}s\) and that of \(B\) is \(1\;m{\rm{/}}s\). A is carrying a bag of mass \(5\;kg\) with him. To avoid collision with \(B, A\) throws the bag with a speed \(v\) relative to the spaceship towards \(B\) and \(B\) catches it. Find the minimum value of \(v\).
supporting img

1 \(7.8\;m{\rm{/}}s\)
2 \(26.0\;m{\rm{/}}s\)
3 \(14.0\;m{\rm{/}}s\)
4 \(9.2\;m{\rm{/}}s\)
PHXI06:WORK ENERGY AND POWER

355208 For a system to follow the law of conservation of linear momentum during a collision, the condition is
(i) total external force acting on the system is zero.
(ii) total external force acting on the system is finite and time of collision is negligible.
(iii) total internal force acting on the system is zero.

1 Only (i)
2 Only (ii)
3 Only(iii)
4 Only (i) or (ii)
PHXI06:WORK ENERGY AND POWER

355204 Assertion :
Quick collision between two bodies is more violent than a slow collision; even when the initial and final velocities are identical
Reason :
The momentum is greater in first case.

1 Both Assertion and Reason are correct and Reason is the correct explanation of the Assertion.
2 Both Assertion and Reason are correct but Reason is not the correct explanation of the Assertion.
3 Assertion is correct but Reason is incorrect.
4 Assertion is incorrect but reason is correct.
PHXI06:WORK ENERGY AND POWER

355205 Two particles masses \(m_{1}\) and \(m_{2}\) in projectile motion have velocities \(\vec{v}_{1}\) and \(\vec{v}_{2}\) respectively at time \(t=0\). They collide at time \(t_{0}\). Their velocities become \(\vec{v}_{1}^{\prime}\) and \(\vec{v}_{2}^{\prime}\) at time \(2 t_{0}\) while still moving in air. The value of \(\mid\left(m_{1} \vec{v}_{1}^{\prime}+m_{2} \vec{v}_{2}^{\prime}-\left(m_{1} \vec{v}_{1}+m_{2} \vec{v}_{2}\right) \mid\right.\) is

1 \(\left(m_{1}+m_{2}\right) g t_{0}\)
2 Zero
3 \(\dfrac{1}{2}\left(m_{1}+m_{2}\right) g t_{0}\)
4 \(2\left(m_{1}+m_{2}\right) g t_{0}\)
PHXI06:WORK ENERGY AND POWER

355206 Two balls at the same temperature collide, the conservable quantity is

1 Velocity
2 Momentum
3 Kinetic energy
4 Temperature
PHXI06:WORK ENERGY AND POWER

355207 Two astronauts, \(A\) and \(B\), both with mass of \(60\;kg\), are moving along a straight line in the same direction in a "weightless" spaceship. Relative to the spaceship the speed of \(A\) is \(2\;m{\rm{/}}s\) and that of \(B\) is \(1\;m{\rm{/}}s\). A is carrying a bag of mass \(5\;kg\) with him. To avoid collision with \(B, A\) throws the bag with a speed \(v\) relative to the spaceship towards \(B\) and \(B\) catches it. Find the minimum value of \(v\).
supporting img

1 \(7.8\;m{\rm{/}}s\)
2 \(26.0\;m{\rm{/}}s\)
3 \(14.0\;m{\rm{/}}s\)
4 \(9.2\;m{\rm{/}}s\)
PHXI06:WORK ENERGY AND POWER

355208 For a system to follow the law of conservation of linear momentum during a collision, the condition is
(i) total external force acting on the system is zero.
(ii) total external force acting on the system is finite and time of collision is negligible.
(iii) total internal force acting on the system is zero.

1 Only (i)
2 Only (ii)
3 Only(iii)
4 Only (i) or (ii)