Collisions
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PHXI06:WORK ENERGY AND POWER

355294 A body of mass \(4\;kg\) moving with velocity \(12\;m{s^{ - 1}}\) collides with another body of mass \(6\;kg\) at rest. If two bodies stick together after collision, then the loss of kinetic energy of system is

1 Zero
2 \(288\,J\)
3 \(172.8\,J\)
4 \(144\,J\)
AIIMS - 2017
PHXI06:WORK ENERGY AND POWER

355295 Two pendulums each of length \(l\) are initially situated as shown in the figure. The first pendulum is released and strikes the second. Assume that the collision is completely inelastic and neglect the mass of the string and any frictional effects. How high does the centre of mass rise after the collision?
supporting img

1 \(d\left[\dfrac{m_{1}}{\left(m_{1}+m_{2}\right)}\right]\)
2 \(d\left[\dfrac{m_{1}}{\left(m_{1}+m_{2}\right)}\right]^{2}\)
3 \(d\left[\dfrac{m_{2}}{\left(m_{1}+m_{2}\right)}\right]^{2}\)
4 \(\dfrac{d\left(m_{1}+m_{2}\right)^{2}}{m_{2}}\)
PHXI06:WORK ENERGY AND POWER

355296 A bullet of mass 10 \(g\) moving horizontally with a velocity of \(400\;m{s^{ - 1}}\) strikes a wooden block of mass \(2\;kg\) which is suspended by a light inextensible string of length 5 \(m\). As a result, the centre of gravity of the block is found to rise a vertical distance of 10 \(cm\). The speed of the bullet after it emerges out horizontally from the block will be

1 \(100\;m{s^{ - 1}}\)
2 \(80\;m{s^{ - 1}}\)
3 \(120\;m{s^{ - 1}}\)
4 \(160\;m{s^{ - 1}}\)
NEET - 2016
PHXI06:WORK ENERGY AND POWER

355297 A bullet of mass 0.01 \(kg\) collides with a stick hanging with string and sticks to it as shown in figure. Stick rises to 9.8 \(cm\). If gravitational acceleration is 9.8 \(m/{s^2}\). Find initial velocity of bullet (in \(m/s\)).
supporting img

1 \(490\sqrt 2 \;m/s\)
2 \(588\sqrt 2 \;m/s\)
3 \(294\sqrt 2 \;m/s\)
4 \(98\sqrt 2 \;m/s\)
JEE - 2021
PHXI06:WORK ENERGY AND POWER

355298 Assertion :
The co-efficient of restitution for a perfectly elastic collision is equal to one.
Reason :
In the case of inelastic collision, kinetic energy before and after the collision is not conserved.

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.
NEET DIGITAL LIBRARY
PHXI06:WORK ENERGY AND POWER

355294 A body of mass \(4\;kg\) moving with velocity \(12\;m{s^{ - 1}}\) collides with another body of mass \(6\;kg\) at rest. If two bodies stick together after collision, then the loss of kinetic energy of system is

1 Zero
2 \(288\,J\)
3 \(172.8\,J\)
4 \(144\,J\)
AIIMS - 2017
PHXI06:WORK ENERGY AND POWER

355295 Two pendulums each of length \(l\) are initially situated as shown in the figure. The first pendulum is released and strikes the second. Assume that the collision is completely inelastic and neglect the mass of the string and any frictional effects. How high does the centre of mass rise after the collision?
supporting img

1 \(d\left[\dfrac{m_{1}}{\left(m_{1}+m_{2}\right)}\right]\)
2 \(d\left[\dfrac{m_{1}}{\left(m_{1}+m_{2}\right)}\right]^{2}\)
3 \(d\left[\dfrac{m_{2}}{\left(m_{1}+m_{2}\right)}\right]^{2}\)
4 \(\dfrac{d\left(m_{1}+m_{2}\right)^{2}}{m_{2}}\)
PHXI06:WORK ENERGY AND POWER

355296 A bullet of mass 10 \(g\) moving horizontally with a velocity of \(400\;m{s^{ - 1}}\) strikes a wooden block of mass \(2\;kg\) which is suspended by a light inextensible string of length 5 \(m\). As a result, the centre of gravity of the block is found to rise a vertical distance of 10 \(cm\). The speed of the bullet after it emerges out horizontally from the block will be

1 \(100\;m{s^{ - 1}}\)
2 \(80\;m{s^{ - 1}}\)
3 \(120\;m{s^{ - 1}}\)
4 \(160\;m{s^{ - 1}}\)
NEET - 2016
PHXI06:WORK ENERGY AND POWER

355297 A bullet of mass 0.01 \(kg\) collides with a stick hanging with string and sticks to it as shown in figure. Stick rises to 9.8 \(cm\). If gravitational acceleration is 9.8 \(m/{s^2}\). Find initial velocity of bullet (in \(m/s\)).
supporting img

1 \(490\sqrt 2 \;m/s\)
2 \(588\sqrt 2 \;m/s\)
3 \(294\sqrt 2 \;m/s\)
4 \(98\sqrt 2 \;m/s\)
JEE - 2021
PHXI06:WORK ENERGY AND POWER

355298 Assertion :
The co-efficient of restitution for a perfectly elastic collision is equal to one.
Reason :
In the case of inelastic collision, kinetic energy before and after the collision is not conserved.

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.
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PHXI06:WORK ENERGY AND POWER

355294 A body of mass \(4\;kg\) moving with velocity \(12\;m{s^{ - 1}}\) collides with another body of mass \(6\;kg\) at rest. If two bodies stick together after collision, then the loss of kinetic energy of system is

1 Zero
2 \(288\,J\)
3 \(172.8\,J\)
4 \(144\,J\)
AIIMS - 2017
PHXI06:WORK ENERGY AND POWER

355295 Two pendulums each of length \(l\) are initially situated as shown in the figure. The first pendulum is released and strikes the second. Assume that the collision is completely inelastic and neglect the mass of the string and any frictional effects. How high does the centre of mass rise after the collision?
supporting img

1 \(d\left[\dfrac{m_{1}}{\left(m_{1}+m_{2}\right)}\right]\)
2 \(d\left[\dfrac{m_{1}}{\left(m_{1}+m_{2}\right)}\right]^{2}\)
3 \(d\left[\dfrac{m_{2}}{\left(m_{1}+m_{2}\right)}\right]^{2}\)
4 \(\dfrac{d\left(m_{1}+m_{2}\right)^{2}}{m_{2}}\)
PHXI06:WORK ENERGY AND POWER

355296 A bullet of mass 10 \(g\) moving horizontally with a velocity of \(400\;m{s^{ - 1}}\) strikes a wooden block of mass \(2\;kg\) which is suspended by a light inextensible string of length 5 \(m\). As a result, the centre of gravity of the block is found to rise a vertical distance of 10 \(cm\). The speed of the bullet after it emerges out horizontally from the block will be

1 \(100\;m{s^{ - 1}}\)
2 \(80\;m{s^{ - 1}}\)
3 \(120\;m{s^{ - 1}}\)
4 \(160\;m{s^{ - 1}}\)
NEET - 2016
PHXI06:WORK ENERGY AND POWER

355297 A bullet of mass 0.01 \(kg\) collides with a stick hanging with string and sticks to it as shown in figure. Stick rises to 9.8 \(cm\). If gravitational acceleration is 9.8 \(m/{s^2}\). Find initial velocity of bullet (in \(m/s\)).
supporting img

1 \(490\sqrt 2 \;m/s\)
2 \(588\sqrt 2 \;m/s\)
3 \(294\sqrt 2 \;m/s\)
4 \(98\sqrt 2 \;m/s\)
JEE - 2021
PHXI06:WORK ENERGY AND POWER

355298 Assertion :
The co-efficient of restitution for a perfectly elastic collision is equal to one.
Reason :
In the case of inelastic collision, kinetic energy before and after the collision is not conserved.

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.
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PHXI06:WORK ENERGY AND POWER

355294 A body of mass \(4\;kg\) moving with velocity \(12\;m{s^{ - 1}}\) collides with another body of mass \(6\;kg\) at rest. If two bodies stick together after collision, then the loss of kinetic energy of system is

1 Zero
2 \(288\,J\)
3 \(172.8\,J\)
4 \(144\,J\)
AIIMS - 2017
PHXI06:WORK ENERGY AND POWER

355295 Two pendulums each of length \(l\) are initially situated as shown in the figure. The first pendulum is released and strikes the second. Assume that the collision is completely inelastic and neglect the mass of the string and any frictional effects. How high does the centre of mass rise after the collision?
supporting img

1 \(d\left[\dfrac{m_{1}}{\left(m_{1}+m_{2}\right)}\right]\)
2 \(d\left[\dfrac{m_{1}}{\left(m_{1}+m_{2}\right)}\right]^{2}\)
3 \(d\left[\dfrac{m_{2}}{\left(m_{1}+m_{2}\right)}\right]^{2}\)
4 \(\dfrac{d\left(m_{1}+m_{2}\right)^{2}}{m_{2}}\)
PHXI06:WORK ENERGY AND POWER

355296 A bullet of mass 10 \(g\) moving horizontally with a velocity of \(400\;m{s^{ - 1}}\) strikes a wooden block of mass \(2\;kg\) which is suspended by a light inextensible string of length 5 \(m\). As a result, the centre of gravity of the block is found to rise a vertical distance of 10 \(cm\). The speed of the bullet after it emerges out horizontally from the block will be

1 \(100\;m{s^{ - 1}}\)
2 \(80\;m{s^{ - 1}}\)
3 \(120\;m{s^{ - 1}}\)
4 \(160\;m{s^{ - 1}}\)
NEET - 2016
PHXI06:WORK ENERGY AND POWER

355297 A bullet of mass 0.01 \(kg\) collides with a stick hanging with string and sticks to it as shown in figure. Stick rises to 9.8 \(cm\). If gravitational acceleration is 9.8 \(m/{s^2}\). Find initial velocity of bullet (in \(m/s\)).
supporting img

1 \(490\sqrt 2 \;m/s\)
2 \(588\sqrt 2 \;m/s\)
3 \(294\sqrt 2 \;m/s\)
4 \(98\sqrt 2 \;m/s\)
JEE - 2021
PHXI06:WORK ENERGY AND POWER

355298 Assertion :
The co-efficient of restitution for a perfectly elastic collision is equal to one.
Reason :
In the case of inelastic collision, kinetic energy before and after the collision is not conserved.

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.
NEET DIGITAL LIBRARY
PHXI06:WORK ENERGY AND POWER

355294 A body of mass \(4\;kg\) moving with velocity \(12\;m{s^{ - 1}}\) collides with another body of mass \(6\;kg\) at rest. If two bodies stick together after collision, then the loss of kinetic energy of system is

1 Zero
2 \(288\,J\)
3 \(172.8\,J\)
4 \(144\,J\)
AIIMS - 2017
PHXI06:WORK ENERGY AND POWER

355295 Two pendulums each of length \(l\) are initially situated as shown in the figure. The first pendulum is released and strikes the second. Assume that the collision is completely inelastic and neglect the mass of the string and any frictional effects. How high does the centre of mass rise after the collision?
supporting img

1 \(d\left[\dfrac{m_{1}}{\left(m_{1}+m_{2}\right)}\right]\)
2 \(d\left[\dfrac{m_{1}}{\left(m_{1}+m_{2}\right)}\right]^{2}\)
3 \(d\left[\dfrac{m_{2}}{\left(m_{1}+m_{2}\right)}\right]^{2}\)
4 \(\dfrac{d\left(m_{1}+m_{2}\right)^{2}}{m_{2}}\)
PHXI06:WORK ENERGY AND POWER

355296 A bullet of mass 10 \(g\) moving horizontally with a velocity of \(400\;m{s^{ - 1}}\) strikes a wooden block of mass \(2\;kg\) which is suspended by a light inextensible string of length 5 \(m\). As a result, the centre of gravity of the block is found to rise a vertical distance of 10 \(cm\). The speed of the bullet after it emerges out horizontally from the block will be

1 \(100\;m{s^{ - 1}}\)
2 \(80\;m{s^{ - 1}}\)
3 \(120\;m{s^{ - 1}}\)
4 \(160\;m{s^{ - 1}}\)
NEET - 2016
PHXI06:WORK ENERGY AND POWER

355297 A bullet of mass 0.01 \(kg\) collides with a stick hanging with string and sticks to it as shown in figure. Stick rises to 9.8 \(cm\). If gravitational acceleration is 9.8 \(m/{s^2}\). Find initial velocity of bullet (in \(m/s\)).
supporting img

1 \(490\sqrt 2 \;m/s\)
2 \(588\sqrt 2 \;m/s\)
3 \(294\sqrt 2 \;m/s\)
4 \(98\sqrt 2 \;m/s\)
JEE - 2021
PHXI06:WORK ENERGY AND POWER

355298 Assertion :
The co-efficient of restitution for a perfectly elastic collision is equal to one.
Reason :
In the case of inelastic collision, kinetic energy before and after the collision is not conserved.

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.