The Work-Energy Theorem for a Constant/Variable Force
PHXI06:WORK ENERGY AND POWER

355690 Assertion :
Stopping distance \(=\dfrac{\text { Kinetic energy }}{\text { Stopping force }}\)
Reason :
Work done in stopping a body is equal to change in kinetic energy of the body.

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

355691 Two bodies of masses \({m_1}\) and \({m_2}\) are acted upon by a constant force \(F\) for a time \(t\). They start from rest and acquire kinetic energies \({E_1}\) and \({E_2}\) respectively. Then \(\dfrac{E_{1}}{E_{2}}\) is

1 \(\dfrac{m_{1}}{m_{2}}\)
2 \(\dfrac{m_{2}}{m_{1}}\)
3 1
4 \(\dfrac{\sqrt{m_{1} m_{2}}}{m_{1}+m_{2}}\)
PHXI06:WORK ENERGY AND POWER

355692 Four packages each having a mass of 4 \(kg\) are attached on the belt at equal distances \(d=200 {~mm}\) as shown in the figure. Initially belt is at rest. If a constant force of magnitude 840 \(N\) is applied to the belt, determine the velocity of package 2 (in \({m} / {s}\) ) as it falls off the belt at point \(A\). Assume that the mass of the belt and pulleys is small as compared with the mass of the packages. Assume that the radius of pulley is negligible in comparison to width \(d\).
supporting img

1 \(2\,m{s^{ - 1}}\)
2 \(5\,m{s^{ - 1}}\)
3 \(7\,m{s^{ - 1}}\)
4 \(10\,m{s^{ - 1}}\)
PHXI06:WORK ENERGY AND POWER

355693 The acceleration of a particle that moves along the positive \({x}\)-axis varies with its position, as shown in the figure. If the velocity of the particle is \({0.8 {~m} / {s}}\) at \({x=0}\), then the velocity of the particle at \({x=1.4}\) is (in \({{m} / {s}}\) )
supporting img

1 1.6
2 1.2
3 1.4
4 None of these
PHXI06:WORK ENERGY AND POWER

355690 Assertion :
Stopping distance \(=\dfrac{\text { Kinetic energy }}{\text { Stopping force }}\)
Reason :
Work done in stopping a body is equal to change in kinetic energy of the body.

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

355691 Two bodies of masses \({m_1}\) and \({m_2}\) are acted upon by a constant force \(F\) for a time \(t\). They start from rest and acquire kinetic energies \({E_1}\) and \({E_2}\) respectively. Then \(\dfrac{E_{1}}{E_{2}}\) is

1 \(\dfrac{m_{1}}{m_{2}}\)
2 \(\dfrac{m_{2}}{m_{1}}\)
3 1
4 \(\dfrac{\sqrt{m_{1} m_{2}}}{m_{1}+m_{2}}\)
PHXI06:WORK ENERGY AND POWER

355692 Four packages each having a mass of 4 \(kg\) are attached on the belt at equal distances \(d=200 {~mm}\) as shown in the figure. Initially belt is at rest. If a constant force of magnitude 840 \(N\) is applied to the belt, determine the velocity of package 2 (in \({m} / {s}\) ) as it falls off the belt at point \(A\). Assume that the mass of the belt and pulleys is small as compared with the mass of the packages. Assume that the radius of pulley is negligible in comparison to width \(d\).
supporting img

1 \(2\,m{s^{ - 1}}\)
2 \(5\,m{s^{ - 1}}\)
3 \(7\,m{s^{ - 1}}\)
4 \(10\,m{s^{ - 1}}\)
PHXI06:WORK ENERGY AND POWER

355693 The acceleration of a particle that moves along the positive \({x}\)-axis varies with its position, as shown in the figure. If the velocity of the particle is \({0.8 {~m} / {s}}\) at \({x=0}\), then the velocity of the particle at \({x=1.4}\) is (in \({{m} / {s}}\) )
supporting img

1 1.6
2 1.2
3 1.4
4 None of these
PHXI06:WORK ENERGY AND POWER

355690 Assertion :
Stopping distance \(=\dfrac{\text { Kinetic energy }}{\text { Stopping force }}\)
Reason :
Work done in stopping a body is equal to change in kinetic energy of the body.

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

355691 Two bodies of masses \({m_1}\) and \({m_2}\) are acted upon by a constant force \(F\) for a time \(t\). They start from rest and acquire kinetic energies \({E_1}\) and \({E_2}\) respectively. Then \(\dfrac{E_{1}}{E_{2}}\) is

1 \(\dfrac{m_{1}}{m_{2}}\)
2 \(\dfrac{m_{2}}{m_{1}}\)
3 1
4 \(\dfrac{\sqrt{m_{1} m_{2}}}{m_{1}+m_{2}}\)
PHXI06:WORK ENERGY AND POWER

355692 Four packages each having a mass of 4 \(kg\) are attached on the belt at equal distances \(d=200 {~mm}\) as shown in the figure. Initially belt is at rest. If a constant force of magnitude 840 \(N\) is applied to the belt, determine the velocity of package 2 (in \({m} / {s}\) ) as it falls off the belt at point \(A\). Assume that the mass of the belt and pulleys is small as compared with the mass of the packages. Assume that the radius of pulley is negligible in comparison to width \(d\).
supporting img

1 \(2\,m{s^{ - 1}}\)
2 \(5\,m{s^{ - 1}}\)
3 \(7\,m{s^{ - 1}}\)
4 \(10\,m{s^{ - 1}}\)
PHXI06:WORK ENERGY AND POWER

355693 The acceleration of a particle that moves along the positive \({x}\)-axis varies with its position, as shown in the figure. If the velocity of the particle is \({0.8 {~m} / {s}}\) at \({x=0}\), then the velocity of the particle at \({x=1.4}\) is (in \({{m} / {s}}\) )
supporting img

1 1.6
2 1.2
3 1.4
4 None of these
PHXI06:WORK ENERGY AND POWER

355690 Assertion :
Stopping distance \(=\dfrac{\text { Kinetic energy }}{\text { Stopping force }}\)
Reason :
Work done in stopping a body is equal to change in kinetic energy of the body.

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

355691 Two bodies of masses \({m_1}\) and \({m_2}\) are acted upon by a constant force \(F\) for a time \(t\). They start from rest and acquire kinetic energies \({E_1}\) and \({E_2}\) respectively. Then \(\dfrac{E_{1}}{E_{2}}\) is

1 \(\dfrac{m_{1}}{m_{2}}\)
2 \(\dfrac{m_{2}}{m_{1}}\)
3 1
4 \(\dfrac{\sqrt{m_{1} m_{2}}}{m_{1}+m_{2}}\)
PHXI06:WORK ENERGY AND POWER

355692 Four packages each having a mass of 4 \(kg\) are attached on the belt at equal distances \(d=200 {~mm}\) as shown in the figure. Initially belt is at rest. If a constant force of magnitude 840 \(N\) is applied to the belt, determine the velocity of package 2 (in \({m} / {s}\) ) as it falls off the belt at point \(A\). Assume that the mass of the belt and pulleys is small as compared with the mass of the packages. Assume that the radius of pulley is negligible in comparison to width \(d\).
supporting img

1 \(2\,m{s^{ - 1}}\)
2 \(5\,m{s^{ - 1}}\)
3 \(7\,m{s^{ - 1}}\)
4 \(10\,m{s^{ - 1}}\)
PHXI06:WORK ENERGY AND POWER

355693 The acceleration of a particle that moves along the positive \({x}\)-axis varies with its position, as shown in the figure. If the velocity of the particle is \({0.8 {~m} / {s}}\) at \({x=0}\), then the velocity of the particle at \({x=1.4}\) is (in \({{m} / {s}}\) )
supporting img

1 1.6
2 1.2
3 1.4
4 None of these