01. Potential and Kinetic Energy
Work, Energy and Power

148938 A bag of sand of mass $9.8 \mathrm{~kg}$ is suspended by a rope. A bullet of $200 \mathrm{~g}$ travelling with speed 10 $\mathrm{ms}^{-1}$ gets embedded in it, then loss of kinetic energy will be

1 $4.9 \mathrm{~J}$
2 $9.8 \mathrm{~J}$
3 $14.7 \mathrm{~J}$
4 $19.6 \mathrm{~J}$
Work, Energy and Power

148939 The potential energy of an object is $U(x)=\left(5 x^{2}\right.$ $\left.-4 x^{3}\right) J$, where $x$ is the position in meter. The position at which the force becomes zero is

1 $\frac{1}{2} \mathrm{~m}$
2 $\frac{5}{6} \mathrm{~m}$
3 $\frac{1}{3} \mathrm{~m}$
4 $\frac{2}{3} \mathrm{~m}$
Work, Energy and Power

148940 An object of mass $7 \mathrm{~kg}$ initially at rest explodes into two pieces $A$ and $B$. The mass of $A$ is $3 \mathrm{~kg}$. and the mass of $B$ is $4 \mathrm{~kg}$. After explosion, $B$ moves with the velocity of $2 \mathrm{~m} / \mathrm{s}$. The ratio of kinetic energy of $A$ to kinetic energy of $B$ is

1 $\frac{2}{3}$
2 $\frac{4}{3}$
3 $\frac{3}{2}$
4 $\frac{27}{64}$
Work, Energy and Power

148941 A particle is released from height $S$ from the surface of the Earth. At a certain height its kinetic energy is three times its potential energy. The height from the surface of earth and the speed of the particle at that instant are respectively

1 $\frac{\mathrm{S}}{4}, \frac{3 \mathrm{gS}}{2}$
2 $\frac{\mathrm{S}}{4}, \frac{\sqrt{3 \mathrm{gS}}}{2}$
3 $\frac{\mathrm{S}}{2}, \frac{\sqrt{3 \mathrm{gS}}}{2}$
4 $\frac{\mathrm{S}}{4}, \sqrt{\frac{3 \mathrm{gS}}{2}}$
Work, Energy and Power

148938 A bag of sand of mass $9.8 \mathrm{~kg}$ is suspended by a rope. A bullet of $200 \mathrm{~g}$ travelling with speed 10 $\mathrm{ms}^{-1}$ gets embedded in it, then loss of kinetic energy will be

1 $4.9 \mathrm{~J}$
2 $9.8 \mathrm{~J}$
3 $14.7 \mathrm{~J}$
4 $19.6 \mathrm{~J}$
Work, Energy and Power

148939 The potential energy of an object is $U(x)=\left(5 x^{2}\right.$ $\left.-4 x^{3}\right) J$, where $x$ is the position in meter. The position at which the force becomes zero is

1 $\frac{1}{2} \mathrm{~m}$
2 $\frac{5}{6} \mathrm{~m}$
3 $\frac{1}{3} \mathrm{~m}$
4 $\frac{2}{3} \mathrm{~m}$
Work, Energy and Power

148940 An object of mass $7 \mathrm{~kg}$ initially at rest explodes into two pieces $A$ and $B$. The mass of $A$ is $3 \mathrm{~kg}$. and the mass of $B$ is $4 \mathrm{~kg}$. After explosion, $B$ moves with the velocity of $2 \mathrm{~m} / \mathrm{s}$. The ratio of kinetic energy of $A$ to kinetic energy of $B$ is

1 $\frac{2}{3}$
2 $\frac{4}{3}$
3 $\frac{3}{2}$
4 $\frac{27}{64}$
Work, Energy and Power

148941 A particle is released from height $S$ from the surface of the Earth. At a certain height its kinetic energy is three times its potential energy. The height from the surface of earth and the speed of the particle at that instant are respectively

1 $\frac{\mathrm{S}}{4}, \frac{3 \mathrm{gS}}{2}$
2 $\frac{\mathrm{S}}{4}, \frac{\sqrt{3 \mathrm{gS}}}{2}$
3 $\frac{\mathrm{S}}{2}, \frac{\sqrt{3 \mathrm{gS}}}{2}$
4 $\frac{\mathrm{S}}{4}, \sqrt{\frac{3 \mathrm{gS}}{2}}$
Work, Energy and Power

148938 A bag of sand of mass $9.8 \mathrm{~kg}$ is suspended by a rope. A bullet of $200 \mathrm{~g}$ travelling with speed 10 $\mathrm{ms}^{-1}$ gets embedded in it, then loss of kinetic energy will be

1 $4.9 \mathrm{~J}$
2 $9.8 \mathrm{~J}$
3 $14.7 \mathrm{~J}$
4 $19.6 \mathrm{~J}$
Work, Energy and Power

148939 The potential energy of an object is $U(x)=\left(5 x^{2}\right.$ $\left.-4 x^{3}\right) J$, where $x$ is the position in meter. The position at which the force becomes zero is

1 $\frac{1}{2} \mathrm{~m}$
2 $\frac{5}{6} \mathrm{~m}$
3 $\frac{1}{3} \mathrm{~m}$
4 $\frac{2}{3} \mathrm{~m}$
Work, Energy and Power

148940 An object of mass $7 \mathrm{~kg}$ initially at rest explodes into two pieces $A$ and $B$. The mass of $A$ is $3 \mathrm{~kg}$. and the mass of $B$ is $4 \mathrm{~kg}$. After explosion, $B$ moves with the velocity of $2 \mathrm{~m} / \mathrm{s}$. The ratio of kinetic energy of $A$ to kinetic energy of $B$ is

1 $\frac{2}{3}$
2 $\frac{4}{3}$
3 $\frac{3}{2}$
4 $\frac{27}{64}$
Work, Energy and Power

148941 A particle is released from height $S$ from the surface of the Earth. At a certain height its kinetic energy is three times its potential energy. The height from the surface of earth and the speed of the particle at that instant are respectively

1 $\frac{\mathrm{S}}{4}, \frac{3 \mathrm{gS}}{2}$
2 $\frac{\mathrm{S}}{4}, \frac{\sqrt{3 \mathrm{gS}}}{2}$
3 $\frac{\mathrm{S}}{2}, \frac{\sqrt{3 \mathrm{gS}}}{2}$
4 $\frac{\mathrm{S}}{4}, \sqrt{\frac{3 \mathrm{gS}}{2}}$
Work, Energy and Power

148938 A bag of sand of mass $9.8 \mathrm{~kg}$ is suspended by a rope. A bullet of $200 \mathrm{~g}$ travelling with speed 10 $\mathrm{ms}^{-1}$ gets embedded in it, then loss of kinetic energy will be

1 $4.9 \mathrm{~J}$
2 $9.8 \mathrm{~J}$
3 $14.7 \mathrm{~J}$
4 $19.6 \mathrm{~J}$
Work, Energy and Power

148939 The potential energy of an object is $U(x)=\left(5 x^{2}\right.$ $\left.-4 x^{3}\right) J$, where $x$ is the position in meter. The position at which the force becomes zero is

1 $\frac{1}{2} \mathrm{~m}$
2 $\frac{5}{6} \mathrm{~m}$
3 $\frac{1}{3} \mathrm{~m}$
4 $\frac{2}{3} \mathrm{~m}$
Work, Energy and Power

148940 An object of mass $7 \mathrm{~kg}$ initially at rest explodes into two pieces $A$ and $B$. The mass of $A$ is $3 \mathrm{~kg}$. and the mass of $B$ is $4 \mathrm{~kg}$. After explosion, $B$ moves with the velocity of $2 \mathrm{~m} / \mathrm{s}$. The ratio of kinetic energy of $A$ to kinetic energy of $B$ is

1 $\frac{2}{3}$
2 $\frac{4}{3}$
3 $\frac{3}{2}$
4 $\frac{27}{64}$
Work, Energy and Power

148941 A particle is released from height $S$ from the surface of the Earth. At a certain height its kinetic energy is three times its potential energy. The height from the surface of earth and the speed of the particle at that instant are respectively

1 $\frac{\mathrm{S}}{4}, \frac{3 \mathrm{gS}}{2}$
2 $\frac{\mathrm{S}}{4}, \frac{\sqrt{3 \mathrm{gS}}}{2}$
3 $\frac{\mathrm{S}}{2}, \frac{\sqrt{3 \mathrm{gS}}}{2}$
4 $\frac{\mathrm{S}}{4}, \sqrt{\frac{3 \mathrm{gS}}{2}}$
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