01. Potential and Kinetic Energy
NEET Test Series from KOTA - 10 Papers In MS WORD WhatsApp Here
Work, Energy and Power

148984 A particle of mass $10 \mathrm{~g}$ is kept on the surface of a uniform sphere of mass $100 \mathrm{~kg}$ and radius 10 $\mathrm{cm}$. Find the work to be done against the gravitational force between them to take the particle far away from the sphere (you make take $\mathbf{G}=6.67 \times 10^{-11} \mathrm{Nm}^{2} / \mathrm{kg}^{2}$ )

1 $3.33 \times 10^{-10} \mathrm{~J}$
2 $13.34 \times 10^{-10} \mathrm{~J}$
3 $6.67 \times 10^{-10} \mathrm{~J}$
4 $6.67 \times 10^{-9} \mathrm{~J}$
Work, Energy and Power

148985 A body is released from a height of $30 \mathrm{~m}$ vertically downwards. The speed of the body at which potential energy is twice that of kinetic energy is
(Acceleration due to gravity, $\mathrm{g}=\mathbf{1 0} \mathrm{ms}^{-2}$ )

1 $20 \sqrt{2} \mathrm{~ms}^{-1}$
2 $10 \sqrt{2} \mathrm{~ms}^{-1}$
3 $10 \mathrm{~ms}^{-1}$
4 $20 \mathrm{~ms}^{-1}$
Work, Energy and Power

148986 Potential energy of a body of mass $1 \mathrm{~kg}$ free to move along $x$-axis is given by $\mathrm{U}(x)=\left(\frac{x^{2}}{2}-x\right) J$. If the total mechanical energy of the body is $2 \mathrm{~J}$, then the maximum speed of the body is (Assume only conservative force acts on the body)

1 $\sqrt{5} \mathrm{~ms}^{-1}$
2 $5 \mathrm{~ms}^{-1}$
3 $3.5 \mathrm{~ms}^{-1}$
4 $\sqrt{8} \mathrm{~ms}^{-1}$
Work, Energy and Power

148987 The graphs below show the magnitude of the force on a particle as it moves along the positive $x$-axis from the origin to $x=x_{1}$. The force is parallel to the $x$-axis and is conservative. The maximum magnitude $F_{1}$ has the same value for all graphs. Rank the situations according to the change in the potential energy associated with the force, least (or most negative) to greatest (or most positive)

1

1 $1,2,3$
2 $1,3,2$
3 $3,2,1$
4 2, 1, 3
Work, Energy and Power

148984 A particle of mass $10 \mathrm{~g}$ is kept on the surface of a uniform sphere of mass $100 \mathrm{~kg}$ and radius 10 $\mathrm{cm}$. Find the work to be done against the gravitational force between them to take the particle far away from the sphere (you make take $\mathbf{G}=6.67 \times 10^{-11} \mathrm{Nm}^{2} / \mathrm{kg}^{2}$ )

1 $3.33 \times 10^{-10} \mathrm{~J}$
2 $13.34 \times 10^{-10} \mathrm{~J}$
3 $6.67 \times 10^{-10} \mathrm{~J}$
4 $6.67 \times 10^{-9} \mathrm{~J}$
Work, Energy and Power

148985 A body is released from a height of $30 \mathrm{~m}$ vertically downwards. The speed of the body at which potential energy is twice that of kinetic energy is
(Acceleration due to gravity, $\mathrm{g}=\mathbf{1 0} \mathrm{ms}^{-2}$ )

1 $20 \sqrt{2} \mathrm{~ms}^{-1}$
2 $10 \sqrt{2} \mathrm{~ms}^{-1}$
3 $10 \mathrm{~ms}^{-1}$
4 $20 \mathrm{~ms}^{-1}$
Work, Energy and Power

148986 Potential energy of a body of mass $1 \mathrm{~kg}$ free to move along $x$-axis is given by $\mathrm{U}(x)=\left(\frac{x^{2}}{2}-x\right) J$. If the total mechanical energy of the body is $2 \mathrm{~J}$, then the maximum speed of the body is (Assume only conservative force acts on the body)

1 $\sqrt{5} \mathrm{~ms}^{-1}$
2 $5 \mathrm{~ms}^{-1}$
3 $3.5 \mathrm{~ms}^{-1}$
4 $\sqrt{8} \mathrm{~ms}^{-1}$
Work, Energy and Power

148987 The graphs below show the magnitude of the force on a particle as it moves along the positive $x$-axis from the origin to $x=x_{1}$. The force is parallel to the $x$-axis and is conservative. The maximum magnitude $F_{1}$ has the same value for all graphs. Rank the situations according to the change in the potential energy associated with the force, least (or most negative) to greatest (or most positive)

1

1 $1,2,3$
2 $1,3,2$
3 $3,2,1$
4 2, 1, 3
Work, Energy and Power

148984 A particle of mass $10 \mathrm{~g}$ is kept on the surface of a uniform sphere of mass $100 \mathrm{~kg}$ and radius 10 $\mathrm{cm}$. Find the work to be done against the gravitational force between them to take the particle far away from the sphere (you make take $\mathbf{G}=6.67 \times 10^{-11} \mathrm{Nm}^{2} / \mathrm{kg}^{2}$ )

1 $3.33 \times 10^{-10} \mathrm{~J}$
2 $13.34 \times 10^{-10} \mathrm{~J}$
3 $6.67 \times 10^{-10} \mathrm{~J}$
4 $6.67 \times 10^{-9} \mathrm{~J}$
Work, Energy and Power

148985 A body is released from a height of $30 \mathrm{~m}$ vertically downwards. The speed of the body at which potential energy is twice that of kinetic energy is
(Acceleration due to gravity, $\mathrm{g}=\mathbf{1 0} \mathrm{ms}^{-2}$ )

1 $20 \sqrt{2} \mathrm{~ms}^{-1}$
2 $10 \sqrt{2} \mathrm{~ms}^{-1}$
3 $10 \mathrm{~ms}^{-1}$
4 $20 \mathrm{~ms}^{-1}$
Work, Energy and Power

148986 Potential energy of a body of mass $1 \mathrm{~kg}$ free to move along $x$-axis is given by $\mathrm{U}(x)=\left(\frac{x^{2}}{2}-x\right) J$. If the total mechanical energy of the body is $2 \mathrm{~J}$, then the maximum speed of the body is (Assume only conservative force acts on the body)

1 $\sqrt{5} \mathrm{~ms}^{-1}$
2 $5 \mathrm{~ms}^{-1}$
3 $3.5 \mathrm{~ms}^{-1}$
4 $\sqrt{8} \mathrm{~ms}^{-1}$
Work, Energy and Power

148987 The graphs below show the magnitude of the force on a particle as it moves along the positive $x$-axis from the origin to $x=x_{1}$. The force is parallel to the $x$-axis and is conservative. The maximum magnitude $F_{1}$ has the same value for all graphs. Rank the situations according to the change in the potential energy associated with the force, least (or most negative) to greatest (or most positive)

1

1 $1,2,3$
2 $1,3,2$
3 $3,2,1$
4 2, 1, 3
Work, Energy and Power

148984 A particle of mass $10 \mathrm{~g}$ is kept on the surface of a uniform sphere of mass $100 \mathrm{~kg}$ and radius 10 $\mathrm{cm}$. Find the work to be done against the gravitational force between them to take the particle far away from the sphere (you make take $\mathbf{G}=6.67 \times 10^{-11} \mathrm{Nm}^{2} / \mathrm{kg}^{2}$ )

1 $3.33 \times 10^{-10} \mathrm{~J}$
2 $13.34 \times 10^{-10} \mathrm{~J}$
3 $6.67 \times 10^{-10} \mathrm{~J}$
4 $6.67 \times 10^{-9} \mathrm{~J}$
Work, Energy and Power

148985 A body is released from a height of $30 \mathrm{~m}$ vertically downwards. The speed of the body at which potential energy is twice that of kinetic energy is
(Acceleration due to gravity, $\mathrm{g}=\mathbf{1 0} \mathrm{ms}^{-2}$ )

1 $20 \sqrt{2} \mathrm{~ms}^{-1}$
2 $10 \sqrt{2} \mathrm{~ms}^{-1}$
3 $10 \mathrm{~ms}^{-1}$
4 $20 \mathrm{~ms}^{-1}$
Work, Energy and Power

148986 Potential energy of a body of mass $1 \mathrm{~kg}$ free to move along $x$-axis is given by $\mathrm{U}(x)=\left(\frac{x^{2}}{2}-x\right) J$. If the total mechanical energy of the body is $2 \mathrm{~J}$, then the maximum speed of the body is (Assume only conservative force acts on the body)

1 $\sqrt{5} \mathrm{~ms}^{-1}$
2 $5 \mathrm{~ms}^{-1}$
3 $3.5 \mathrm{~ms}^{-1}$
4 $\sqrt{8} \mathrm{~ms}^{-1}$
Work, Energy and Power

148987 The graphs below show the magnitude of the force on a particle as it moves along the positive $x$-axis from the origin to $x=x_{1}$. The force is parallel to the $x$-axis and is conservative. The maximum magnitude $F_{1}$ has the same value for all graphs. Rank the situations according to the change in the potential energy associated with the force, least (or most negative) to greatest (or most positive)

1

1 $1,2,3$
2 $1,3,2$
3 $3,2,1$
4 2, 1, 3