01. Potential and Kinetic Energy
Work, Energy and Power

148974 A solid sphere of mass $1 \mathrm{~kg}$ and radius $10 \mathrm{~cm}$ rolls without slipping on a horizontal surface, with velocity of $10 \mathrm{~cm} / \mathrm{s}$. The total kinetic energy of sphere is

1 $0.007 \mathrm{~J}$
2 $0.05 \mathrm{~J}$
3 $0.01 \mathrm{~J}$
4 $0.07 \mathrm{~J}$
Work, Energy and Power

148975 A solid sphere is rolling on a frictionless surface with translational velocity ' $v$ '. It climbs that inclined plane from ' $A$ ' to ' $B$ ' and then moves away from $B$ on the smooth horizontal surface. The value of ' $v$ ' should be

1 $\left[\frac{10 \mathrm{gh}}{7}\right]^{\frac{1}{2}}$
2 $\sqrt{2 g h}$
3 $\frac{10 \mathrm{gh}}{7}$
4 $\sqrt{\text { gh }}$
Work, Energy and Power

148976 A machine which is $70 \%$ efficient raised a 10 kg body through a certain distance and spends $100 \mathrm{~J}$ energy. The body is then released. On reaching the ground, the kinetic energy of the body will be

1 0
2 $70 \mathrm{~J}$
3 $50 \mathrm{~J}$
4 $35 \mathrm{~J}$
Work, Energy and Power

148977 A particle is moving on $\mathrm{X}$-axis has potential energy $U=2-20 x+5 x^{2} J$ along $X$-axis. The particle is released at $x=-3$. The maximum value of $x$ will be ( $x$ is in metre and $U$ is in Joules)

1 $5 \mathrm{~m}$
2 $3 \mathrm{~m}$
3 $7 \mathrm{~m}$
4 $8 \mathrm{~m}$
Work, Energy and Power

148978 A particle moves in a straight line with its retardation proportional to its displacement. The loss of its kinetic energy for any displacement $x$ is proportional to

1 $\frac{1}{x}$
2 $x$
3 $x^{2}$
4 $e^{x}$
Work, Energy and Power

148974 A solid sphere of mass $1 \mathrm{~kg}$ and radius $10 \mathrm{~cm}$ rolls without slipping on a horizontal surface, with velocity of $10 \mathrm{~cm} / \mathrm{s}$. The total kinetic energy of sphere is

1 $0.007 \mathrm{~J}$
2 $0.05 \mathrm{~J}$
3 $0.01 \mathrm{~J}$
4 $0.07 \mathrm{~J}$
Work, Energy and Power

148975 A solid sphere is rolling on a frictionless surface with translational velocity ' $v$ '. It climbs that inclined plane from ' $A$ ' to ' $B$ ' and then moves away from $B$ on the smooth horizontal surface. The value of ' $v$ ' should be

1 $\left[\frac{10 \mathrm{gh}}{7}\right]^{\frac{1}{2}}$
2 $\sqrt{2 g h}$
3 $\frac{10 \mathrm{gh}}{7}$
4 $\sqrt{\text { gh }}$
Work, Energy and Power

148976 A machine which is $70 \%$ efficient raised a 10 kg body through a certain distance and spends $100 \mathrm{~J}$ energy. The body is then released. On reaching the ground, the kinetic energy of the body will be

1 0
2 $70 \mathrm{~J}$
3 $50 \mathrm{~J}$
4 $35 \mathrm{~J}$
Work, Energy and Power

148977 A particle is moving on $\mathrm{X}$-axis has potential energy $U=2-20 x+5 x^{2} J$ along $X$-axis. The particle is released at $x=-3$. The maximum value of $x$ will be ( $x$ is in metre and $U$ is in Joules)

1 $5 \mathrm{~m}$
2 $3 \mathrm{~m}$
3 $7 \mathrm{~m}$
4 $8 \mathrm{~m}$
Work, Energy and Power

148978 A particle moves in a straight line with its retardation proportional to its displacement. The loss of its kinetic energy for any displacement $x$ is proportional to

1 $\frac{1}{x}$
2 $x$
3 $x^{2}$
4 $e^{x}$
Work, Energy and Power

148974 A solid sphere of mass $1 \mathrm{~kg}$ and radius $10 \mathrm{~cm}$ rolls without slipping on a horizontal surface, with velocity of $10 \mathrm{~cm} / \mathrm{s}$. The total kinetic energy of sphere is

1 $0.007 \mathrm{~J}$
2 $0.05 \mathrm{~J}$
3 $0.01 \mathrm{~J}$
4 $0.07 \mathrm{~J}$
Work, Energy and Power

148975 A solid sphere is rolling on a frictionless surface with translational velocity ' $v$ '. It climbs that inclined plane from ' $A$ ' to ' $B$ ' and then moves away from $B$ on the smooth horizontal surface. The value of ' $v$ ' should be

1 $\left[\frac{10 \mathrm{gh}}{7}\right]^{\frac{1}{2}}$
2 $\sqrt{2 g h}$
3 $\frac{10 \mathrm{gh}}{7}$
4 $\sqrt{\text { gh }}$
Work, Energy and Power

148976 A machine which is $70 \%$ efficient raised a 10 kg body through a certain distance and spends $100 \mathrm{~J}$ energy. The body is then released. On reaching the ground, the kinetic energy of the body will be

1 0
2 $70 \mathrm{~J}$
3 $50 \mathrm{~J}$
4 $35 \mathrm{~J}$
Work, Energy and Power

148977 A particle is moving on $\mathrm{X}$-axis has potential energy $U=2-20 x+5 x^{2} J$ along $X$-axis. The particle is released at $x=-3$. The maximum value of $x$ will be ( $x$ is in metre and $U$ is in Joules)

1 $5 \mathrm{~m}$
2 $3 \mathrm{~m}$
3 $7 \mathrm{~m}$
4 $8 \mathrm{~m}$
Work, Energy and Power

148978 A particle moves in a straight line with its retardation proportional to its displacement. The loss of its kinetic energy for any displacement $x$ is proportional to

1 $\frac{1}{x}$
2 $x$
3 $x^{2}$
4 $e^{x}$
Work, Energy and Power

148974 A solid sphere of mass $1 \mathrm{~kg}$ and radius $10 \mathrm{~cm}$ rolls without slipping on a horizontal surface, with velocity of $10 \mathrm{~cm} / \mathrm{s}$. The total kinetic energy of sphere is

1 $0.007 \mathrm{~J}$
2 $0.05 \mathrm{~J}$
3 $0.01 \mathrm{~J}$
4 $0.07 \mathrm{~J}$
Work, Energy and Power

148975 A solid sphere is rolling on a frictionless surface with translational velocity ' $v$ '. It climbs that inclined plane from ' $A$ ' to ' $B$ ' and then moves away from $B$ on the smooth horizontal surface. The value of ' $v$ ' should be

1 $\left[\frac{10 \mathrm{gh}}{7}\right]^{\frac{1}{2}}$
2 $\sqrt{2 g h}$
3 $\frac{10 \mathrm{gh}}{7}$
4 $\sqrt{\text { gh }}$
Work, Energy and Power

148976 A machine which is $70 \%$ efficient raised a 10 kg body through a certain distance and spends $100 \mathrm{~J}$ energy. The body is then released. On reaching the ground, the kinetic energy of the body will be

1 0
2 $70 \mathrm{~J}$
3 $50 \mathrm{~J}$
4 $35 \mathrm{~J}$
Work, Energy and Power

148977 A particle is moving on $\mathrm{X}$-axis has potential energy $U=2-20 x+5 x^{2} J$ along $X$-axis. The particle is released at $x=-3$. The maximum value of $x$ will be ( $x$ is in metre and $U$ is in Joules)

1 $5 \mathrm{~m}$
2 $3 \mathrm{~m}$
3 $7 \mathrm{~m}$
4 $8 \mathrm{~m}$
Work, Energy and Power

148978 A particle moves in a straight line with its retardation proportional to its displacement. The loss of its kinetic energy for any displacement $x$ is proportional to

1 $\frac{1}{x}$
2 $x$
3 $x^{2}$
4 $e^{x}$
Work, Energy and Power

148974 A solid sphere of mass $1 \mathrm{~kg}$ and radius $10 \mathrm{~cm}$ rolls without slipping on a horizontal surface, with velocity of $10 \mathrm{~cm} / \mathrm{s}$. The total kinetic energy of sphere is

1 $0.007 \mathrm{~J}$
2 $0.05 \mathrm{~J}$
3 $0.01 \mathrm{~J}$
4 $0.07 \mathrm{~J}$
Work, Energy and Power

148975 A solid sphere is rolling on a frictionless surface with translational velocity ' $v$ '. It climbs that inclined plane from ' $A$ ' to ' $B$ ' and then moves away from $B$ on the smooth horizontal surface. The value of ' $v$ ' should be

1 $\left[\frac{10 \mathrm{gh}}{7}\right]^{\frac{1}{2}}$
2 $\sqrt{2 g h}$
3 $\frac{10 \mathrm{gh}}{7}$
4 $\sqrt{\text { gh }}$
Work, Energy and Power

148976 A machine which is $70 \%$ efficient raised a 10 kg body through a certain distance and spends $100 \mathrm{~J}$ energy. The body is then released. On reaching the ground, the kinetic energy of the body will be

1 0
2 $70 \mathrm{~J}$
3 $50 \mathrm{~J}$
4 $35 \mathrm{~J}$
Work, Energy and Power

148977 A particle is moving on $\mathrm{X}$-axis has potential energy $U=2-20 x+5 x^{2} J$ along $X$-axis. The particle is released at $x=-3$. The maximum value of $x$ will be ( $x$ is in metre and $U$ is in Joules)

1 $5 \mathrm{~m}$
2 $3 \mathrm{~m}$
3 $7 \mathrm{~m}$
4 $8 \mathrm{~m}$
Work, Energy and Power

148978 A particle moves in a straight line with its retardation proportional to its displacement. The loss of its kinetic energy for any displacement $x$ is proportional to

1 $\frac{1}{x}$
2 $x$
3 $x^{2}$
4 $e^{x}$