01. Potential and Kinetic Energy
Work, Energy and Power

148970 The kinetic energy acquired by a body of mass ' $M$ ' in travelling a certain distance ' $d$ ', starting from rest, under the action of constant force is

1 Inversely proportional to $\sqrt{\mathrm{M}}$
2 Directly proportional to $\mathrm{M}$
3 Independent of M
4 Directly proportional to $\sqrt{\mathrm{M}}$
Work, Energy and Power

148971 A particle at rest explodes into two particles of masses $m_{1}$ and $m_{2}$ which move in opposite directions with velocities $v_{1}$ and $v_{2}$ respectively. The ratio of kinetic energies $E_{1}$ to $E_{2}$ respectively is

1 $\mathrm{m}_{2}: \mathrm{m}_{1}$
2 $\mathrm{m}_{1}: \mathrm{m}_{2}$
3 $1: \mathrm{m}_{2}$
4 $1: 1$
Work, Energy and Power

148972 A body initially at rest is acted upon by a constant force (F) for time (t). The kinetic energy at time $t$ is

1 $\frac{\mathrm{F}^{2} \mathrm{t}^{2}}{2 \mathrm{~m}}$
2 $\frac{\mathrm{Ft}}{2 \mathrm{~m}}$
3 $\frac{\mathrm{F}^{2} \mathrm{t}^{2}}{\mathrm{~m}}$
4 $\left(\frac{\mathrm{Ft}}{\mathrm{m}}\right)^{2}$
Work, Energy and Power

148973 A solid sphere of mass ' $M$ ' and radius ' $R$ ' is rotating about its diameter. A disc of same mass and radius is also rotating about an axis passing through its centre and perpendicular to the plane but angular speed is twice that of the sphere. The ratio of kinetic energy of disc to that of sphere is

1 $4: 1$
2 $6: 1$
3 $3: 1$
4 $5: 1$
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Work, Energy and Power

148970 The kinetic energy acquired by a body of mass ' $M$ ' in travelling a certain distance ' $d$ ', starting from rest, under the action of constant force is

1 Inversely proportional to $\sqrt{\mathrm{M}}$
2 Directly proportional to $\mathrm{M}$
3 Independent of M
4 Directly proportional to $\sqrt{\mathrm{M}}$
Work, Energy and Power

148971 A particle at rest explodes into two particles of masses $m_{1}$ and $m_{2}$ which move in opposite directions with velocities $v_{1}$ and $v_{2}$ respectively. The ratio of kinetic energies $E_{1}$ to $E_{2}$ respectively is

1 $\mathrm{m}_{2}: \mathrm{m}_{1}$
2 $\mathrm{m}_{1}: \mathrm{m}_{2}$
3 $1: \mathrm{m}_{2}$
4 $1: 1$
Work, Energy and Power

148972 A body initially at rest is acted upon by a constant force (F) for time (t). The kinetic energy at time $t$ is

1 $\frac{\mathrm{F}^{2} \mathrm{t}^{2}}{2 \mathrm{~m}}$
2 $\frac{\mathrm{Ft}}{2 \mathrm{~m}}$
3 $\frac{\mathrm{F}^{2} \mathrm{t}^{2}}{\mathrm{~m}}$
4 $\left(\frac{\mathrm{Ft}}{\mathrm{m}}\right)^{2}$
Work, Energy and Power

148973 A solid sphere of mass ' $M$ ' and radius ' $R$ ' is rotating about its diameter. A disc of same mass and radius is also rotating about an axis passing through its centre and perpendicular to the plane but angular speed is twice that of the sphere. The ratio of kinetic energy of disc to that of sphere is

1 $4: 1$
2 $6: 1$
3 $3: 1$
4 $5: 1$
Work, Energy and Power

148970 The kinetic energy acquired by a body of mass ' $M$ ' in travelling a certain distance ' $d$ ', starting from rest, under the action of constant force is

1 Inversely proportional to $\sqrt{\mathrm{M}}$
2 Directly proportional to $\mathrm{M}$
3 Independent of M
4 Directly proportional to $\sqrt{\mathrm{M}}$
Work, Energy and Power

148971 A particle at rest explodes into two particles of masses $m_{1}$ and $m_{2}$ which move in opposite directions with velocities $v_{1}$ and $v_{2}$ respectively. The ratio of kinetic energies $E_{1}$ to $E_{2}$ respectively is

1 $\mathrm{m}_{2}: \mathrm{m}_{1}$
2 $\mathrm{m}_{1}: \mathrm{m}_{2}$
3 $1: \mathrm{m}_{2}$
4 $1: 1$
Work, Energy and Power

148972 A body initially at rest is acted upon by a constant force (F) for time (t). The kinetic energy at time $t$ is

1 $\frac{\mathrm{F}^{2} \mathrm{t}^{2}}{2 \mathrm{~m}}$
2 $\frac{\mathrm{Ft}}{2 \mathrm{~m}}$
3 $\frac{\mathrm{F}^{2} \mathrm{t}^{2}}{\mathrm{~m}}$
4 $\left(\frac{\mathrm{Ft}}{\mathrm{m}}\right)^{2}$
Work, Energy and Power

148973 A solid sphere of mass ' $M$ ' and radius ' $R$ ' is rotating about its diameter. A disc of same mass and radius is also rotating about an axis passing through its centre and perpendicular to the plane but angular speed is twice that of the sphere. The ratio of kinetic energy of disc to that of sphere is

1 $4: 1$
2 $6: 1$
3 $3: 1$
4 $5: 1$
Work, Energy and Power

148970 The kinetic energy acquired by a body of mass ' $M$ ' in travelling a certain distance ' $d$ ', starting from rest, under the action of constant force is

1 Inversely proportional to $\sqrt{\mathrm{M}}$
2 Directly proportional to $\mathrm{M}$
3 Independent of M
4 Directly proportional to $\sqrt{\mathrm{M}}$
Work, Energy and Power

148971 A particle at rest explodes into two particles of masses $m_{1}$ and $m_{2}$ which move in opposite directions with velocities $v_{1}$ and $v_{2}$ respectively. The ratio of kinetic energies $E_{1}$ to $E_{2}$ respectively is

1 $\mathrm{m}_{2}: \mathrm{m}_{1}$
2 $\mathrm{m}_{1}: \mathrm{m}_{2}$
3 $1: \mathrm{m}_{2}$
4 $1: 1$
Work, Energy and Power

148972 A body initially at rest is acted upon by a constant force (F) for time (t). The kinetic energy at time $t$ is

1 $\frac{\mathrm{F}^{2} \mathrm{t}^{2}}{2 \mathrm{~m}}$
2 $\frac{\mathrm{Ft}}{2 \mathrm{~m}}$
3 $\frac{\mathrm{F}^{2} \mathrm{t}^{2}}{\mathrm{~m}}$
4 $\left(\frac{\mathrm{Ft}}{\mathrm{m}}\right)^{2}$
Work, Energy and Power

148973 A solid sphere of mass ' $M$ ' and radius ' $R$ ' is rotating about its diameter. A disc of same mass and radius is also rotating about an axis passing through its centre and perpendicular to the plane but angular speed is twice that of the sphere. The ratio of kinetic energy of disc to that of sphere is

1 $4: 1$
2 $6: 1$
3 $3: 1$
4 $5: 1$