The Concept of Potential Energy
PHXI06:WORK ENERGY AND POWER

355598 A body of mass 0.1 \(kg\) moving with a velocity of 10 \(m/s\) hits a spring ( fixed at the other end) of force constant 1000 \(N/m\) and comes to rest after compressing the spring. The compression of the string is

1 0.01 \(m\)
2 0.1 \(m\)
3 0.2 \(m\)
4 0.5 \(m\)
PHXI06:WORK ENERGY AND POWER

355599 A bead of mass \(150\,g\) is constrained to move along a vertical smooth and fixed circular track of radius \(3\,m\) as shown in figure is released at \({B}\). The spring is in the plane of the track has natural length of \(1\,m\) and spring constant of \({3 / 16 {~N} / {m}}\). It starts from rest at \({B}\). What is the normal force exerted by the track on the bead when it passes through \({A}\)?
supporting img

1 2
2 4
3 7
4 9
PHXI06:WORK ENERGY AND POWER

355600 A particle of mass \(m\) is fixed to one end of a light spring of force constant \(k\) and unstretched length \(l\). The system is rotated about the other end of the spring with an angular velocity \(\omega\), in gravity free space. The increase in length of the spring will be
supporting img

1 \(\dfrac{m l \omega^{2}}{k-m \omega^{2}}\)
2 \(\dfrac{m l \omega^{2}}{k+m \omega^{2}}\)
3 \(\dfrac{m l \omega^{2}}{k}\)
4 none of these
PHXI06:WORK ENERGY AND POWER

355601 Two springs of spring constants 1500 \(N/m\) and 3000 \(N/m\) respectively are stretched with the same force. They will have potential energy in the ratio.

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

355598 A body of mass 0.1 \(kg\) moving with a velocity of 10 \(m/s\) hits a spring ( fixed at the other end) of force constant 1000 \(N/m\) and comes to rest after compressing the spring. The compression of the string is

1 0.01 \(m\)
2 0.1 \(m\)
3 0.2 \(m\)
4 0.5 \(m\)
PHXI06:WORK ENERGY AND POWER

355599 A bead of mass \(150\,g\) is constrained to move along a vertical smooth and fixed circular track of radius \(3\,m\) as shown in figure is released at \({B}\). The spring is in the plane of the track has natural length of \(1\,m\) and spring constant of \({3 / 16 {~N} / {m}}\). It starts from rest at \({B}\). What is the normal force exerted by the track on the bead when it passes through \({A}\)?
supporting img

1 2
2 4
3 7
4 9
PHXI06:WORK ENERGY AND POWER

355600 A particle of mass \(m\) is fixed to one end of a light spring of force constant \(k\) and unstretched length \(l\). The system is rotated about the other end of the spring with an angular velocity \(\omega\), in gravity free space. The increase in length of the spring will be
supporting img

1 \(\dfrac{m l \omega^{2}}{k-m \omega^{2}}\)
2 \(\dfrac{m l \omega^{2}}{k+m \omega^{2}}\)
3 \(\dfrac{m l \omega^{2}}{k}\)
4 none of these
PHXI06:WORK ENERGY AND POWER

355601 Two springs of spring constants 1500 \(N/m\) and 3000 \(N/m\) respectively are stretched with the same force. They will have potential energy in the ratio.

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

355598 A body of mass 0.1 \(kg\) moving with a velocity of 10 \(m/s\) hits a spring ( fixed at the other end) of force constant 1000 \(N/m\) and comes to rest after compressing the spring. The compression of the string is

1 0.01 \(m\)
2 0.1 \(m\)
3 0.2 \(m\)
4 0.5 \(m\)
PHXI06:WORK ENERGY AND POWER

355599 A bead of mass \(150\,g\) is constrained to move along a vertical smooth and fixed circular track of radius \(3\,m\) as shown in figure is released at \({B}\). The spring is in the plane of the track has natural length of \(1\,m\) and spring constant of \({3 / 16 {~N} / {m}}\). It starts from rest at \({B}\). What is the normal force exerted by the track on the bead when it passes through \({A}\)?
supporting img

1 2
2 4
3 7
4 9
PHXI06:WORK ENERGY AND POWER

355600 A particle of mass \(m\) is fixed to one end of a light spring of force constant \(k\) and unstretched length \(l\). The system is rotated about the other end of the spring with an angular velocity \(\omega\), in gravity free space. The increase in length of the spring will be
supporting img

1 \(\dfrac{m l \omega^{2}}{k-m \omega^{2}}\)
2 \(\dfrac{m l \omega^{2}}{k+m \omega^{2}}\)
3 \(\dfrac{m l \omega^{2}}{k}\)
4 none of these
PHXI06:WORK ENERGY AND POWER

355601 Two springs of spring constants 1500 \(N/m\) and 3000 \(N/m\) respectively are stretched with the same force. They will have potential energy in the ratio.

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

355598 A body of mass 0.1 \(kg\) moving with a velocity of 10 \(m/s\) hits a spring ( fixed at the other end) of force constant 1000 \(N/m\) and comes to rest after compressing the spring. The compression of the string is

1 0.01 \(m\)
2 0.1 \(m\)
3 0.2 \(m\)
4 0.5 \(m\)
PHXI06:WORK ENERGY AND POWER

355599 A bead of mass \(150\,g\) is constrained to move along a vertical smooth and fixed circular track of radius \(3\,m\) as shown in figure is released at \({B}\). The spring is in the plane of the track has natural length of \(1\,m\) and spring constant of \({3 / 16 {~N} / {m}}\). It starts from rest at \({B}\). What is the normal force exerted by the track on the bead when it passes through \({A}\)?
supporting img

1 2
2 4
3 7
4 9
PHXI06:WORK ENERGY AND POWER

355600 A particle of mass \(m\) is fixed to one end of a light spring of force constant \(k\) and unstretched length \(l\). The system is rotated about the other end of the spring with an angular velocity \(\omega\), in gravity free space. The increase in length of the spring will be
supporting img

1 \(\dfrac{m l \omega^{2}}{k-m \omega^{2}}\)
2 \(\dfrac{m l \omega^{2}}{k+m \omega^{2}}\)
3 \(\dfrac{m l \omega^{2}}{k}\)
4 none of these
PHXI06:WORK ENERGY AND POWER

355601 Two springs of spring constants 1500 \(N/m\) and 3000 \(N/m\) respectively are stretched with the same force. They will have potential energy in the ratio.

1 \(1: 4\)
2 \(4: 1\)
3 \(1: 2\)
4 \(2: 1\)