The Concept of Potential Energy
PHXI06:WORK ENERGY AND POWER

355615 In the situation in figure, a block of mass \(1\,kg\) is attached to a light spring of constant \({40 {~N} / {m}}\) whose other end is fixed to the roof of a building \(50\,cm\) above the smooth horizontal surface. Initially, spring is in natural length and vertical. When a force \({F=20 \sqrt{3} {~N}}\) is applied on the block, the block starts to move. The speed at the instant it breaks off the surface below it is \({\sqrt{10 n} {~m} / {s}}\). The value of \({n}\) is
supporting img

1 2
2 1
3 5
4 3
PHXI06:WORK ENERGY AND POWER

355616 The potential energy of a long spring when stretched by \(2\;cm\,\,{\rm{is}}\,\,U\). If the spring is stretched by \(8\;cm\), potential energy stored in it will be:

1 \(4 U\)
2 \(8 U\)
3 \(16 U\)
4 \(2 U\)
PHXI06:WORK ENERGY AND POWER

355617 A block of mass \(1\,kg\) is released from top of a rough incline having \({\mu=\dfrac{1}{\sqrt{3}}}\). The initial speed of block is \({2 {~m} / {s}}\). The incline plane is of unknown length and has a spring of constant \({k=1 {~N} / {m}}\) connected at base as in figure. Find the maximum compression of spring.
supporting img

1 \(5\,m\)
2 \(7\,m\)
3 \(2\,m\)
4 \(1\,m\)
PHXI06:WORK ENERGY AND POWER

355618 The figure shows a mass \(m\) on a frictonless surface. It is connected to rigid wall by the mean of a mass-less spring of its constant \(k\). Initially, the spring is at its natural position. If a force of constant magnitude starts acting on the block towards right, then the speed of the block when the deformation in spring is \(x\), will be
supporting img

1 \(\sqrt{\dfrac{2 F \cdot x-k x^{2}}{m}}\)
2 \(\sqrt{\dfrac{F \cdot x-k x^{2}}{m}}\)
3 \(\sqrt{\dfrac{x(F-k)}{m}}\)
4 \(\sqrt{\dfrac{F \cdot x-k x^{2}}{2 m}}\)
PHXI06:WORK ENERGY AND POWER

355615 In the situation in figure, a block of mass \(1\,kg\) is attached to a light spring of constant \({40 {~N} / {m}}\) whose other end is fixed to the roof of a building \(50\,cm\) above the smooth horizontal surface. Initially, spring is in natural length and vertical. When a force \({F=20 \sqrt{3} {~N}}\) is applied on the block, the block starts to move. The speed at the instant it breaks off the surface below it is \({\sqrt{10 n} {~m} / {s}}\). The value of \({n}\) is
supporting img

1 2
2 1
3 5
4 3
PHXI06:WORK ENERGY AND POWER

355616 The potential energy of a long spring when stretched by \(2\;cm\,\,{\rm{is}}\,\,U\). If the spring is stretched by \(8\;cm\), potential energy stored in it will be:

1 \(4 U\)
2 \(8 U\)
3 \(16 U\)
4 \(2 U\)
PHXI06:WORK ENERGY AND POWER

355617 A block of mass \(1\,kg\) is released from top of a rough incline having \({\mu=\dfrac{1}{\sqrt{3}}}\). The initial speed of block is \({2 {~m} / {s}}\). The incline plane is of unknown length and has a spring of constant \({k=1 {~N} / {m}}\) connected at base as in figure. Find the maximum compression of spring.
supporting img

1 \(5\,m\)
2 \(7\,m\)
3 \(2\,m\)
4 \(1\,m\)
PHXI06:WORK ENERGY AND POWER

355618 The figure shows a mass \(m\) on a frictonless surface. It is connected to rigid wall by the mean of a mass-less spring of its constant \(k\). Initially, the spring is at its natural position. If a force of constant magnitude starts acting on the block towards right, then the speed of the block when the deformation in spring is \(x\), will be
supporting img

1 \(\sqrt{\dfrac{2 F \cdot x-k x^{2}}{m}}\)
2 \(\sqrt{\dfrac{F \cdot x-k x^{2}}{m}}\)
3 \(\sqrt{\dfrac{x(F-k)}{m}}\)
4 \(\sqrt{\dfrac{F \cdot x-k x^{2}}{2 m}}\)
PHXI06:WORK ENERGY AND POWER

355615 In the situation in figure, a block of mass \(1\,kg\) is attached to a light spring of constant \({40 {~N} / {m}}\) whose other end is fixed to the roof of a building \(50\,cm\) above the smooth horizontal surface. Initially, spring is in natural length and vertical. When a force \({F=20 \sqrt{3} {~N}}\) is applied on the block, the block starts to move. The speed at the instant it breaks off the surface below it is \({\sqrt{10 n} {~m} / {s}}\). The value of \({n}\) is
supporting img

1 2
2 1
3 5
4 3
PHXI06:WORK ENERGY AND POWER

355616 The potential energy of a long spring when stretched by \(2\;cm\,\,{\rm{is}}\,\,U\). If the spring is stretched by \(8\;cm\), potential energy stored in it will be:

1 \(4 U\)
2 \(8 U\)
3 \(16 U\)
4 \(2 U\)
PHXI06:WORK ENERGY AND POWER

355617 A block of mass \(1\,kg\) is released from top of a rough incline having \({\mu=\dfrac{1}{\sqrt{3}}}\). The initial speed of block is \({2 {~m} / {s}}\). The incline plane is of unknown length and has a spring of constant \({k=1 {~N} / {m}}\) connected at base as in figure. Find the maximum compression of spring.
supporting img

1 \(5\,m\)
2 \(7\,m\)
3 \(2\,m\)
4 \(1\,m\)
PHXI06:WORK ENERGY AND POWER

355618 The figure shows a mass \(m\) on a frictonless surface. It is connected to rigid wall by the mean of a mass-less spring of its constant \(k\). Initially, the spring is at its natural position. If a force of constant magnitude starts acting on the block towards right, then the speed of the block when the deformation in spring is \(x\), will be
supporting img

1 \(\sqrt{\dfrac{2 F \cdot x-k x^{2}}{m}}\)
2 \(\sqrt{\dfrac{F \cdot x-k x^{2}}{m}}\)
3 \(\sqrt{\dfrac{x(F-k)}{m}}\)
4 \(\sqrt{\dfrac{F \cdot x-k x^{2}}{2 m}}\)
PHXI06:WORK ENERGY AND POWER

355615 In the situation in figure, a block of mass \(1\,kg\) is attached to a light spring of constant \({40 {~N} / {m}}\) whose other end is fixed to the roof of a building \(50\,cm\) above the smooth horizontal surface. Initially, spring is in natural length and vertical. When a force \({F=20 \sqrt{3} {~N}}\) is applied on the block, the block starts to move. The speed at the instant it breaks off the surface below it is \({\sqrt{10 n} {~m} / {s}}\). The value of \({n}\) is
supporting img

1 2
2 1
3 5
4 3
PHXI06:WORK ENERGY AND POWER

355616 The potential energy of a long spring when stretched by \(2\;cm\,\,{\rm{is}}\,\,U\). If the spring is stretched by \(8\;cm\), potential energy stored in it will be:

1 \(4 U\)
2 \(8 U\)
3 \(16 U\)
4 \(2 U\)
PHXI06:WORK ENERGY AND POWER

355617 A block of mass \(1\,kg\) is released from top of a rough incline having \({\mu=\dfrac{1}{\sqrt{3}}}\). The initial speed of block is \({2 {~m} / {s}}\). The incline plane is of unknown length and has a spring of constant \({k=1 {~N} / {m}}\) connected at base as in figure. Find the maximum compression of spring.
supporting img

1 \(5\,m\)
2 \(7\,m\)
3 \(2\,m\)
4 \(1\,m\)
PHXI06:WORK ENERGY AND POWER

355618 The figure shows a mass \(m\) on a frictonless surface. It is connected to rigid wall by the mean of a mass-less spring of its constant \(k\). Initially, the spring is at its natural position. If a force of constant magnitude starts acting on the block towards right, then the speed of the block when the deformation in spring is \(x\), will be
supporting img

1 \(\sqrt{\dfrac{2 F \cdot x-k x^{2}}{m}}\)
2 \(\sqrt{\dfrac{F \cdot x-k x^{2}}{m}}\)
3 \(\sqrt{\dfrac{x(F-k)}{m}}\)
4 \(\sqrt{\dfrac{F \cdot x-k x^{2}}{2 m}}\)