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

355638 The earth circles the sun once a year. How much work would have to be done on the earth to bring it to rest relative to the sun, (ignore the rotation of earth about-its own axis) Given that mass of the earth is \(6 \times {10^{24}}\;kg\) and distance between the sun and earth is \(1.5 \times {10^{11}}\;m\)

1 \(2.7 \times {10^{34}}\;J\)
2 \(2.7 \times {10^{33}}\;J\)
3 \(1.9 \times {10^{24}}\;J\)
4 \(1.9 \times {10^{23}}\;J\)
PHXI06:WORK ENERGY AND POWER

355639 A particle moves on a rough horizontal ground with some initial velocity say \({v_0}\). If \(\left(\dfrac{3}{4}\right)^{\text {th }}\) of its kinetic energy is lost due to friction in time \({t_0}\) then coefficient of friction between the particle and the ground is

1 \(\frac{{{v_0}}}{{2g{t_0}}}\)
2 \(\frac{{{v_0}}}{{4g{t_0}}}\)
3 \(\frac{{3{v_0}}}{{4g{t_0}}}\)
4 \(\frac{{{v_0}}}{{g{t_0}}}\)
PHXI06:WORK ENERGY AND POWER

355640 A block of mass \(10\;kg\) is moving in \(x\)-direction with a constant speed of \(10\;m\;{s^{ - 1}}\). It is subjected to a retarding force \({F_r} = - 0.1x\;J\;{m^{ - 1}}\) during its travel from \(x = 20\;m\) to \(x = 30\;m\). Its final kinetic energy will be

1 \(250\;J\)
2 \(275\;J\)
3 \(450\;J\)
4 \(475\;J\)
PHXI06:WORK ENERGY AND POWER

355641 A bullet of mass \(100\;g\) moving horizontally with a velocity \(210\;m{s^{ - 1}}\) gets embedded in a block of mass \(2\;kg\) kept on a rough horizontal surface. If the coefficient of kinetic friction between the block and surface is \(0.5.\) Calculate the distance block - bullet system will move before coming to rest.
(Take acceleration due to gravity \( = 10\;m{s^{ - 2}}\)).

1 \(40\,m\)
2 \(30\,m\)
3 \(20\,m\)
4 \(10\,m\)
PHXI06:WORK ENERGY AND POWER

355642 A variable force, given by the 2-dimensional vector \(\vec{F}=\left(3 x^{2} \hat{i}+4 \hat{j}\right)\), acts on a particle. The force is in newton and \(\mathrm{x}\) is in metre. What is the change in the kinetic energy of the particle as it moves from the point with coordinates \((2,3)\) to \((3,0)\) ( the coordinates are in metres)

1 \( + 7J\)
2 \( + 19J\)
3 Zero
4 \( - 7J\)
PHXI06:WORK ENERGY AND POWER

355638 The earth circles the sun once a year. How much work would have to be done on the earth to bring it to rest relative to the sun, (ignore the rotation of earth about-its own axis) Given that mass of the earth is \(6 \times {10^{24}}\;kg\) and distance between the sun and earth is \(1.5 \times {10^{11}}\;m\)

1 \(2.7 \times {10^{34}}\;J\)
2 \(2.7 \times {10^{33}}\;J\)
3 \(1.9 \times {10^{24}}\;J\)
4 \(1.9 \times {10^{23}}\;J\)
PHXI06:WORK ENERGY AND POWER

355639 A particle moves on a rough horizontal ground with some initial velocity say \({v_0}\). If \(\left(\dfrac{3}{4}\right)^{\text {th }}\) of its kinetic energy is lost due to friction in time \({t_0}\) then coefficient of friction between the particle and the ground is

1 \(\frac{{{v_0}}}{{2g{t_0}}}\)
2 \(\frac{{{v_0}}}{{4g{t_0}}}\)
3 \(\frac{{3{v_0}}}{{4g{t_0}}}\)
4 \(\frac{{{v_0}}}{{g{t_0}}}\)
PHXI06:WORK ENERGY AND POWER

355640 A block of mass \(10\;kg\) is moving in \(x\)-direction with a constant speed of \(10\;m\;{s^{ - 1}}\). It is subjected to a retarding force \({F_r} = - 0.1x\;J\;{m^{ - 1}}\) during its travel from \(x = 20\;m\) to \(x = 30\;m\). Its final kinetic energy will be

1 \(250\;J\)
2 \(275\;J\)
3 \(450\;J\)
4 \(475\;J\)
PHXI06:WORK ENERGY AND POWER

355641 A bullet of mass \(100\;g\) moving horizontally with a velocity \(210\;m{s^{ - 1}}\) gets embedded in a block of mass \(2\;kg\) kept on a rough horizontal surface. If the coefficient of kinetic friction between the block and surface is \(0.5.\) Calculate the distance block - bullet system will move before coming to rest.
(Take acceleration due to gravity \( = 10\;m{s^{ - 2}}\)).

1 \(40\,m\)
2 \(30\,m\)
3 \(20\,m\)
4 \(10\,m\)
PHXI06:WORK ENERGY AND POWER

355642 A variable force, given by the 2-dimensional vector \(\vec{F}=\left(3 x^{2} \hat{i}+4 \hat{j}\right)\), acts on a particle. The force is in newton and \(\mathrm{x}\) is in metre. What is the change in the kinetic energy of the particle as it moves from the point with coordinates \((2,3)\) to \((3,0)\) ( the coordinates are in metres)

1 \( + 7J\)
2 \( + 19J\)
3 Zero
4 \( - 7J\)
NEET Test Series from KOTA - 10 Papers In MS WORD WhatsApp Here
PHXI06:WORK ENERGY AND POWER

355638 The earth circles the sun once a year. How much work would have to be done on the earth to bring it to rest relative to the sun, (ignore the rotation of earth about-its own axis) Given that mass of the earth is \(6 \times {10^{24}}\;kg\) and distance between the sun and earth is \(1.5 \times {10^{11}}\;m\)

1 \(2.7 \times {10^{34}}\;J\)
2 \(2.7 \times {10^{33}}\;J\)
3 \(1.9 \times {10^{24}}\;J\)
4 \(1.9 \times {10^{23}}\;J\)
PHXI06:WORK ENERGY AND POWER

355639 A particle moves on a rough horizontal ground with some initial velocity say \({v_0}\). If \(\left(\dfrac{3}{4}\right)^{\text {th }}\) of its kinetic energy is lost due to friction in time \({t_0}\) then coefficient of friction between the particle and the ground is

1 \(\frac{{{v_0}}}{{2g{t_0}}}\)
2 \(\frac{{{v_0}}}{{4g{t_0}}}\)
3 \(\frac{{3{v_0}}}{{4g{t_0}}}\)
4 \(\frac{{{v_0}}}{{g{t_0}}}\)
PHXI06:WORK ENERGY AND POWER

355640 A block of mass \(10\;kg\) is moving in \(x\)-direction with a constant speed of \(10\;m\;{s^{ - 1}}\). It is subjected to a retarding force \({F_r} = - 0.1x\;J\;{m^{ - 1}}\) during its travel from \(x = 20\;m\) to \(x = 30\;m\). Its final kinetic energy will be

1 \(250\;J\)
2 \(275\;J\)
3 \(450\;J\)
4 \(475\;J\)
PHXI06:WORK ENERGY AND POWER

355641 A bullet of mass \(100\;g\) moving horizontally with a velocity \(210\;m{s^{ - 1}}\) gets embedded in a block of mass \(2\;kg\) kept on a rough horizontal surface. If the coefficient of kinetic friction between the block and surface is \(0.5.\) Calculate the distance block - bullet system will move before coming to rest.
(Take acceleration due to gravity \( = 10\;m{s^{ - 2}}\)).

1 \(40\,m\)
2 \(30\,m\)
3 \(20\,m\)
4 \(10\,m\)
PHXI06:WORK ENERGY AND POWER

355642 A variable force, given by the 2-dimensional vector \(\vec{F}=\left(3 x^{2} \hat{i}+4 \hat{j}\right)\), acts on a particle. The force is in newton and \(\mathrm{x}\) is in metre. What is the change in the kinetic energy of the particle as it moves from the point with coordinates \((2,3)\) to \((3,0)\) ( the coordinates are in metres)

1 \( + 7J\)
2 \( + 19J\)
3 Zero
4 \( - 7J\)
PHXI06:WORK ENERGY AND POWER

355638 The earth circles the sun once a year. How much work would have to be done on the earth to bring it to rest relative to the sun, (ignore the rotation of earth about-its own axis) Given that mass of the earth is \(6 \times {10^{24}}\;kg\) and distance between the sun and earth is \(1.5 \times {10^{11}}\;m\)

1 \(2.7 \times {10^{34}}\;J\)
2 \(2.7 \times {10^{33}}\;J\)
3 \(1.9 \times {10^{24}}\;J\)
4 \(1.9 \times {10^{23}}\;J\)
PHXI06:WORK ENERGY AND POWER

355639 A particle moves on a rough horizontal ground with some initial velocity say \({v_0}\). If \(\left(\dfrac{3}{4}\right)^{\text {th }}\) of its kinetic energy is lost due to friction in time \({t_0}\) then coefficient of friction between the particle and the ground is

1 \(\frac{{{v_0}}}{{2g{t_0}}}\)
2 \(\frac{{{v_0}}}{{4g{t_0}}}\)
3 \(\frac{{3{v_0}}}{{4g{t_0}}}\)
4 \(\frac{{{v_0}}}{{g{t_0}}}\)
PHXI06:WORK ENERGY AND POWER

355640 A block of mass \(10\;kg\) is moving in \(x\)-direction with a constant speed of \(10\;m\;{s^{ - 1}}\). It is subjected to a retarding force \({F_r} = - 0.1x\;J\;{m^{ - 1}}\) during its travel from \(x = 20\;m\) to \(x = 30\;m\). Its final kinetic energy will be

1 \(250\;J\)
2 \(275\;J\)
3 \(450\;J\)
4 \(475\;J\)
PHXI06:WORK ENERGY AND POWER

355641 A bullet of mass \(100\;g\) moving horizontally with a velocity \(210\;m{s^{ - 1}}\) gets embedded in a block of mass \(2\;kg\) kept on a rough horizontal surface. If the coefficient of kinetic friction between the block and surface is \(0.5.\) Calculate the distance block - bullet system will move before coming to rest.
(Take acceleration due to gravity \( = 10\;m{s^{ - 2}}\)).

1 \(40\,m\)
2 \(30\,m\)
3 \(20\,m\)
4 \(10\,m\)
PHXI06:WORK ENERGY AND POWER

355642 A variable force, given by the 2-dimensional vector \(\vec{F}=\left(3 x^{2} \hat{i}+4 \hat{j}\right)\), acts on a particle. The force is in newton and \(\mathrm{x}\) is in metre. What is the change in the kinetic energy of the particle as it moves from the point with coordinates \((2,3)\) to \((3,0)\) ( the coordinates are in metres)

1 \( + 7J\)
2 \( + 19J\)
3 Zero
4 \( - 7J\)
PHXI06:WORK ENERGY AND POWER

355638 The earth circles the sun once a year. How much work would have to be done on the earth to bring it to rest relative to the sun, (ignore the rotation of earth about-its own axis) Given that mass of the earth is \(6 \times {10^{24}}\;kg\) and distance between the sun and earth is \(1.5 \times {10^{11}}\;m\)

1 \(2.7 \times {10^{34}}\;J\)
2 \(2.7 \times {10^{33}}\;J\)
3 \(1.9 \times {10^{24}}\;J\)
4 \(1.9 \times {10^{23}}\;J\)
PHXI06:WORK ENERGY AND POWER

355639 A particle moves on a rough horizontal ground with some initial velocity say \({v_0}\). If \(\left(\dfrac{3}{4}\right)^{\text {th }}\) of its kinetic energy is lost due to friction in time \({t_0}\) then coefficient of friction between the particle and the ground is

1 \(\frac{{{v_0}}}{{2g{t_0}}}\)
2 \(\frac{{{v_0}}}{{4g{t_0}}}\)
3 \(\frac{{3{v_0}}}{{4g{t_0}}}\)
4 \(\frac{{{v_0}}}{{g{t_0}}}\)
PHXI06:WORK ENERGY AND POWER

355640 A block of mass \(10\;kg\) is moving in \(x\)-direction with a constant speed of \(10\;m\;{s^{ - 1}}\). It is subjected to a retarding force \({F_r} = - 0.1x\;J\;{m^{ - 1}}\) during its travel from \(x = 20\;m\) to \(x = 30\;m\). Its final kinetic energy will be

1 \(250\;J\)
2 \(275\;J\)
3 \(450\;J\)
4 \(475\;J\)
PHXI06:WORK ENERGY AND POWER

355641 A bullet of mass \(100\;g\) moving horizontally with a velocity \(210\;m{s^{ - 1}}\) gets embedded in a block of mass \(2\;kg\) kept on a rough horizontal surface. If the coefficient of kinetic friction between the block and surface is \(0.5.\) Calculate the distance block - bullet system will move before coming to rest.
(Take acceleration due to gravity \( = 10\;m{s^{ - 2}}\)).

1 \(40\,m\)
2 \(30\,m\)
3 \(20\,m\)
4 \(10\,m\)
PHXI06:WORK ENERGY AND POWER

355642 A variable force, given by the 2-dimensional vector \(\vec{F}=\left(3 x^{2} \hat{i}+4 \hat{j}\right)\), acts on a particle. The force is in newton and \(\mathrm{x}\) is in metre. What is the change in the kinetic energy of the particle as it moves from the point with coordinates \((2,3)\) to \((3,0)\) ( the coordinates are in metres)

1 \( + 7J\)
2 \( + 19J\)
3 Zero
4 \( - 7J\)