CONSERVATION OF MECHANICAL ENERGY
Work, Energy and Power

268725 At what height above the ground must a mass of \(5 \mathrm{~kg}\) be to have its \(\mathrm{PE}\) equal in value to the KE possessed by it when it moves with a velocity of \(10 \mathrm{~m} / \mathrm{s}\) ? \(\left(g=10 \mathrm{~m} / \mathrm{s}^{2}\right)\)

1 \(1 \mathrm{~m}\)
2 \(5 \mathrm{~m}\)
3 \(10 \mathrm{~m}\)
4 \(50 \mathrm{~m}\)
Work, Energy and Power

268726 A body slides down a fixed curved track that is one quadrant of a circle of radius \(R\), as in the figure. If there is no friction and the body starts from rest, its speed at the bottom of the track is

1 \(5 \mathrm{gR}\)
2 \(\sqrt{5 g R}\)
3 \(\sqrt{2 g R}\)
4 \(\sqrt{g R}\)
Work, Energy and Power

268774 A freely falling body takes\(4 \mathrm{~s}\) to reach the ground. One second after release, the percentage of its potential energy, that is still retained is

1 \(6.25 \%\)
2 \(25 \%\)
3 \(37.5 \%\)
4 \(93.75 \%\)
Work, Energy and Power

268775 A vertically projected body attains the maximum height in6s. The ratio of kinetic energy at the end of \(3^{\text {rd }}\) second to decrease in kinetic energy in the next three seconds is

1 \(1: 1\)
2 \(1: 3\)
3 \(3: 1\)
4 \(9: 1\)
Work, Energy and Power

268776 Two identical blocks \(A\) and \(B\), each of mass ' \(m\) ' resting on smooth floor are connected by a light spring of natural length \(L\) and the spring constant \(k\), with the spring at its natural length. A third identical block \(C\) (mass \(m\) ) moving with a speed \(v\) along the line joining \(A\) and \(B\) collides with \(A\). The maximum compression in the spring is:

1 \(v \sqrt{\frac{m}{2 k}}\)
2 \(m \sqrt{\frac{v}{2 k}}\)
3 \(\sqrt{\frac{m v}{2 k}}\)
4 \(\frac{m v}{2 k}\)
Work, Energy and Power

268725 At what height above the ground must a mass of \(5 \mathrm{~kg}\) be to have its \(\mathrm{PE}\) equal in value to the KE possessed by it when it moves with a velocity of \(10 \mathrm{~m} / \mathrm{s}\) ? \(\left(g=10 \mathrm{~m} / \mathrm{s}^{2}\right)\)

1 \(1 \mathrm{~m}\)
2 \(5 \mathrm{~m}\)
3 \(10 \mathrm{~m}\)
4 \(50 \mathrm{~m}\)
Work, Energy and Power

268726 A body slides down a fixed curved track that is one quadrant of a circle of radius \(R\), as in the figure. If there is no friction and the body starts from rest, its speed at the bottom of the track is

1 \(5 \mathrm{gR}\)
2 \(\sqrt{5 g R}\)
3 \(\sqrt{2 g R}\)
4 \(\sqrt{g R}\)
Work, Energy and Power

268774 A freely falling body takes\(4 \mathrm{~s}\) to reach the ground. One second after release, the percentage of its potential energy, that is still retained is

1 \(6.25 \%\)
2 \(25 \%\)
3 \(37.5 \%\)
4 \(93.75 \%\)
Work, Energy and Power

268775 A vertically projected body attains the maximum height in6s. The ratio of kinetic energy at the end of \(3^{\text {rd }}\) second to decrease in kinetic energy in the next three seconds is

1 \(1: 1\)
2 \(1: 3\)
3 \(3: 1\)
4 \(9: 1\)
Work, Energy and Power

268776 Two identical blocks \(A\) and \(B\), each of mass ' \(m\) ' resting on smooth floor are connected by a light spring of natural length \(L\) and the spring constant \(k\), with the spring at its natural length. A third identical block \(C\) (mass \(m\) ) moving with a speed \(v\) along the line joining \(A\) and \(B\) collides with \(A\). The maximum compression in the spring is:

1 \(v \sqrt{\frac{m}{2 k}}\)
2 \(m \sqrt{\frac{v}{2 k}}\)
3 \(\sqrt{\frac{m v}{2 k}}\)
4 \(\frac{m v}{2 k}\)
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Work, Energy and Power

268725 At what height above the ground must a mass of \(5 \mathrm{~kg}\) be to have its \(\mathrm{PE}\) equal in value to the KE possessed by it when it moves with a velocity of \(10 \mathrm{~m} / \mathrm{s}\) ? \(\left(g=10 \mathrm{~m} / \mathrm{s}^{2}\right)\)

1 \(1 \mathrm{~m}\)
2 \(5 \mathrm{~m}\)
3 \(10 \mathrm{~m}\)
4 \(50 \mathrm{~m}\)
Work, Energy and Power

268726 A body slides down a fixed curved track that is one quadrant of a circle of radius \(R\), as in the figure. If there is no friction and the body starts from rest, its speed at the bottom of the track is

1 \(5 \mathrm{gR}\)
2 \(\sqrt{5 g R}\)
3 \(\sqrt{2 g R}\)
4 \(\sqrt{g R}\)
Work, Energy and Power

268774 A freely falling body takes\(4 \mathrm{~s}\) to reach the ground. One second after release, the percentage of its potential energy, that is still retained is

1 \(6.25 \%\)
2 \(25 \%\)
3 \(37.5 \%\)
4 \(93.75 \%\)
Work, Energy and Power

268775 A vertically projected body attains the maximum height in6s. The ratio of kinetic energy at the end of \(3^{\text {rd }}\) second to decrease in kinetic energy in the next three seconds is

1 \(1: 1\)
2 \(1: 3\)
3 \(3: 1\)
4 \(9: 1\)
Work, Energy and Power

268776 Two identical blocks \(A\) and \(B\), each of mass ' \(m\) ' resting on smooth floor are connected by a light spring of natural length \(L\) and the spring constant \(k\), with the spring at its natural length. A third identical block \(C\) (mass \(m\) ) moving with a speed \(v\) along the line joining \(A\) and \(B\) collides with \(A\). The maximum compression in the spring is:

1 \(v \sqrt{\frac{m}{2 k}}\)
2 \(m \sqrt{\frac{v}{2 k}}\)
3 \(\sqrt{\frac{m v}{2 k}}\)
4 \(\frac{m v}{2 k}\)
Work, Energy and Power

268725 At what height above the ground must a mass of \(5 \mathrm{~kg}\) be to have its \(\mathrm{PE}\) equal in value to the KE possessed by it when it moves with a velocity of \(10 \mathrm{~m} / \mathrm{s}\) ? \(\left(g=10 \mathrm{~m} / \mathrm{s}^{2}\right)\)

1 \(1 \mathrm{~m}\)
2 \(5 \mathrm{~m}\)
3 \(10 \mathrm{~m}\)
4 \(50 \mathrm{~m}\)
Work, Energy and Power

268726 A body slides down a fixed curved track that is one quadrant of a circle of radius \(R\), as in the figure. If there is no friction and the body starts from rest, its speed at the bottom of the track is

1 \(5 \mathrm{gR}\)
2 \(\sqrt{5 g R}\)
3 \(\sqrt{2 g R}\)
4 \(\sqrt{g R}\)
Work, Energy and Power

268774 A freely falling body takes\(4 \mathrm{~s}\) to reach the ground. One second after release, the percentage of its potential energy, that is still retained is

1 \(6.25 \%\)
2 \(25 \%\)
3 \(37.5 \%\)
4 \(93.75 \%\)
Work, Energy and Power

268775 A vertically projected body attains the maximum height in6s. The ratio of kinetic energy at the end of \(3^{\text {rd }}\) second to decrease in kinetic energy in the next three seconds is

1 \(1: 1\)
2 \(1: 3\)
3 \(3: 1\)
4 \(9: 1\)
Work, Energy and Power

268776 Two identical blocks \(A\) and \(B\), each of mass ' \(m\) ' resting on smooth floor are connected by a light spring of natural length \(L\) and the spring constant \(k\), with the spring at its natural length. A third identical block \(C\) (mass \(m\) ) moving with a speed \(v\) along the line joining \(A\) and \(B\) collides with \(A\). The maximum compression in the spring is:

1 \(v \sqrt{\frac{m}{2 k}}\)
2 \(m \sqrt{\frac{v}{2 k}}\)
3 \(\sqrt{\frac{m v}{2 k}}\)
4 \(\frac{m v}{2 k}\)
Work, Energy and Power

268725 At what height above the ground must a mass of \(5 \mathrm{~kg}\) be to have its \(\mathrm{PE}\) equal in value to the KE possessed by it when it moves with a velocity of \(10 \mathrm{~m} / \mathrm{s}\) ? \(\left(g=10 \mathrm{~m} / \mathrm{s}^{2}\right)\)

1 \(1 \mathrm{~m}\)
2 \(5 \mathrm{~m}\)
3 \(10 \mathrm{~m}\)
4 \(50 \mathrm{~m}\)
Work, Energy and Power

268726 A body slides down a fixed curved track that is one quadrant of a circle of radius \(R\), as in the figure. If there is no friction and the body starts from rest, its speed at the bottom of the track is

1 \(5 \mathrm{gR}\)
2 \(\sqrt{5 g R}\)
3 \(\sqrt{2 g R}\)
4 \(\sqrt{g R}\)
Work, Energy and Power

268774 A freely falling body takes\(4 \mathrm{~s}\) to reach the ground. One second after release, the percentage of its potential energy, that is still retained is

1 \(6.25 \%\)
2 \(25 \%\)
3 \(37.5 \%\)
4 \(93.75 \%\)
Work, Energy and Power

268775 A vertically projected body attains the maximum height in6s. The ratio of kinetic energy at the end of \(3^{\text {rd }}\) second to decrease in kinetic energy in the next three seconds is

1 \(1: 1\)
2 \(1: 3\)
3 \(3: 1\)
4 \(9: 1\)
Work, Energy and Power

268776 Two identical blocks \(A\) and \(B\), each of mass ' \(m\) ' resting on smooth floor are connected by a light spring of natural length \(L\) and the spring constant \(k\), with the spring at its natural length. A third identical block \(C\) (mass \(m\) ) moving with a speed \(v\) along the line joining \(A\) and \(B\) collides with \(A\). The maximum compression in the spring is:

1 \(v \sqrt{\frac{m}{2 k}}\)
2 \(m \sqrt{\frac{v}{2 k}}\)
3 \(\sqrt{\frac{m v}{2 k}}\)
4 \(\frac{m v}{2 k}\)