The Concept of Potential Energy
PHXI06:WORK ENERGY AND POWER

355606 Two springs have their force constants \({k_1}\) and \({k_2}\) and they are stretched to the same extension. If \({k_2} > {k_1}\) work done is

1 Same in both the springs
2 More in spring \(K_{1}\)
3 More in spring \(K_{2}\)
4 Data incorrect
PHXI06:WORK ENERGY AND POWER

355607 A long spring is strecthed by 2 \(cm\). Its potential energy is \(U\). If the spring is strecthed by 10 \(cm\), its potential energy would be

1 \(\dfrac{U}{25}\)
2 \(\dfrac{U}{5}\)
3 5 \(U\)
4 25 \(U\)
PHXI06:WORK ENERGY AND POWER

355608 A vertical spring with force constant \(K\) is fixed on a table. A ball of mass \(m\) at a height \(h\) above the free upper end of the spring falls vertically on the spring, so that the spring is compressed by a distance \(d\). The net work done by the spring in the process is

1 \(m g(h+d)+\dfrac{1}{2} k d^{2}\)
2 \(-m g(h+d)\)
3 \(m g(h-d)\)
4 Zero
PHXI06:WORK ENERGY AND POWER

355609 A load of mass \(m\) falls from a height \(h\) on the scale pan hung from a spring as shown in figure. If the spring constant is \(k\) and mass of the scale pan is zero and the mass \(m\) does not bounce relative to the pan, then the amplitude of vibration is
supporting img

1 \(m g\)
2 \(m g / k \sqrt{1+2 h k / m g}\)
3 \(\dfrac{m g}{k}+\dfrac{m g}{k} \sqrt{\dfrac{1+2 h k}{m g}}\)
4 None of these
PHXI06:WORK ENERGY AND POWER

355610 A block of mass \(m\), lying on a smooth horizontal surface, is attached to a spring (of negligible mass) of spring constant \(k\). The other end of the spring is fixed, as shown in the figure. The block is initially at rest in its equilibrium position. If now the block is pulled with a constant force \(F\), the maximum speed of the block is
supporting img

1 \(\dfrac{F}{\sqrt{m k}}\)
2 \(\frac{F}{{\pi \sqrt {mk} }}\)
3 \(\dfrac{\pi F}{\sqrt{m k}}\)
4 \(\frac{{2\;F}}{{\sqrt {mk} }}\)
PHXI06:WORK ENERGY AND POWER

355606 Two springs have their force constants \({k_1}\) and \({k_2}\) and they are stretched to the same extension. If \({k_2} > {k_1}\) work done is

1 Same in both the springs
2 More in spring \(K_{1}\)
3 More in spring \(K_{2}\)
4 Data incorrect
PHXI06:WORK ENERGY AND POWER

355607 A long spring is strecthed by 2 \(cm\). Its potential energy is \(U\). If the spring is strecthed by 10 \(cm\), its potential energy would be

1 \(\dfrac{U}{25}\)
2 \(\dfrac{U}{5}\)
3 5 \(U\)
4 25 \(U\)
PHXI06:WORK ENERGY AND POWER

355608 A vertical spring with force constant \(K\) is fixed on a table. A ball of mass \(m\) at a height \(h\) above the free upper end of the spring falls vertically on the spring, so that the spring is compressed by a distance \(d\). The net work done by the spring in the process is

1 \(m g(h+d)+\dfrac{1}{2} k d^{2}\)
2 \(-m g(h+d)\)
3 \(m g(h-d)\)
4 Zero
PHXI06:WORK ENERGY AND POWER

355609 A load of mass \(m\) falls from a height \(h\) on the scale pan hung from a spring as shown in figure. If the spring constant is \(k\) and mass of the scale pan is zero and the mass \(m\) does not bounce relative to the pan, then the amplitude of vibration is
supporting img

1 \(m g\)
2 \(m g / k \sqrt{1+2 h k / m g}\)
3 \(\dfrac{m g}{k}+\dfrac{m g}{k} \sqrt{\dfrac{1+2 h k}{m g}}\)
4 None of these
PHXI06:WORK ENERGY AND POWER

355610 A block of mass \(m\), lying on a smooth horizontal surface, is attached to a spring (of negligible mass) of spring constant \(k\). The other end of the spring is fixed, as shown in the figure. The block is initially at rest in its equilibrium position. If now the block is pulled with a constant force \(F\), the maximum speed of the block is
supporting img

1 \(\dfrac{F}{\sqrt{m k}}\)
2 \(\frac{F}{{\pi \sqrt {mk} }}\)
3 \(\dfrac{\pi F}{\sqrt{m k}}\)
4 \(\frac{{2\;F}}{{\sqrt {mk} }}\)
NEET Test Series from KOTA - 10 Papers In MS WORD WhatsApp Here
PHXI06:WORK ENERGY AND POWER

355606 Two springs have their force constants \({k_1}\) and \({k_2}\) and they are stretched to the same extension. If \({k_2} > {k_1}\) work done is

1 Same in both the springs
2 More in spring \(K_{1}\)
3 More in spring \(K_{2}\)
4 Data incorrect
PHXI06:WORK ENERGY AND POWER

355607 A long spring is strecthed by 2 \(cm\). Its potential energy is \(U\). If the spring is strecthed by 10 \(cm\), its potential energy would be

1 \(\dfrac{U}{25}\)
2 \(\dfrac{U}{5}\)
3 5 \(U\)
4 25 \(U\)
PHXI06:WORK ENERGY AND POWER

355608 A vertical spring with force constant \(K\) is fixed on a table. A ball of mass \(m\) at a height \(h\) above the free upper end of the spring falls vertically on the spring, so that the spring is compressed by a distance \(d\). The net work done by the spring in the process is

1 \(m g(h+d)+\dfrac{1}{2} k d^{2}\)
2 \(-m g(h+d)\)
3 \(m g(h-d)\)
4 Zero
PHXI06:WORK ENERGY AND POWER

355609 A load of mass \(m\) falls from a height \(h\) on the scale pan hung from a spring as shown in figure. If the spring constant is \(k\) and mass of the scale pan is zero and the mass \(m\) does not bounce relative to the pan, then the amplitude of vibration is
supporting img

1 \(m g\)
2 \(m g / k \sqrt{1+2 h k / m g}\)
3 \(\dfrac{m g}{k}+\dfrac{m g}{k} \sqrt{\dfrac{1+2 h k}{m g}}\)
4 None of these
PHXI06:WORK ENERGY AND POWER

355610 A block of mass \(m\), lying on a smooth horizontal surface, is attached to a spring (of negligible mass) of spring constant \(k\). The other end of the spring is fixed, as shown in the figure. The block is initially at rest in its equilibrium position. If now the block is pulled with a constant force \(F\), the maximum speed of the block is
supporting img

1 \(\dfrac{F}{\sqrt{m k}}\)
2 \(\frac{F}{{\pi \sqrt {mk} }}\)
3 \(\dfrac{\pi F}{\sqrt{m k}}\)
4 \(\frac{{2\;F}}{{\sqrt {mk} }}\)
PHXI06:WORK ENERGY AND POWER

355606 Two springs have their force constants \({k_1}\) and \({k_2}\) and they are stretched to the same extension. If \({k_2} > {k_1}\) work done is

1 Same in both the springs
2 More in spring \(K_{1}\)
3 More in spring \(K_{2}\)
4 Data incorrect
PHXI06:WORK ENERGY AND POWER

355607 A long spring is strecthed by 2 \(cm\). Its potential energy is \(U\). If the spring is strecthed by 10 \(cm\), its potential energy would be

1 \(\dfrac{U}{25}\)
2 \(\dfrac{U}{5}\)
3 5 \(U\)
4 25 \(U\)
PHXI06:WORK ENERGY AND POWER

355608 A vertical spring with force constant \(K\) is fixed on a table. A ball of mass \(m\) at a height \(h\) above the free upper end of the spring falls vertically on the spring, so that the spring is compressed by a distance \(d\). The net work done by the spring in the process is

1 \(m g(h+d)+\dfrac{1}{2} k d^{2}\)
2 \(-m g(h+d)\)
3 \(m g(h-d)\)
4 Zero
PHXI06:WORK ENERGY AND POWER

355609 A load of mass \(m\) falls from a height \(h\) on the scale pan hung from a spring as shown in figure. If the spring constant is \(k\) and mass of the scale pan is zero and the mass \(m\) does not bounce relative to the pan, then the amplitude of vibration is
supporting img

1 \(m g\)
2 \(m g / k \sqrt{1+2 h k / m g}\)
3 \(\dfrac{m g}{k}+\dfrac{m g}{k} \sqrt{\dfrac{1+2 h k}{m g}}\)
4 None of these
PHXI06:WORK ENERGY AND POWER

355610 A block of mass \(m\), lying on a smooth horizontal surface, is attached to a spring (of negligible mass) of spring constant \(k\). The other end of the spring is fixed, as shown in the figure. The block is initially at rest in its equilibrium position. If now the block is pulled with a constant force \(F\), the maximum speed of the block is
supporting img

1 \(\dfrac{F}{\sqrt{m k}}\)
2 \(\frac{F}{{\pi \sqrt {mk} }}\)
3 \(\dfrac{\pi F}{\sqrt{m k}}\)
4 \(\frac{{2\;F}}{{\sqrt {mk} }}\)
PHXI06:WORK ENERGY AND POWER

355606 Two springs have their force constants \({k_1}\) and \({k_2}\) and they are stretched to the same extension. If \({k_2} > {k_1}\) work done is

1 Same in both the springs
2 More in spring \(K_{1}\)
3 More in spring \(K_{2}\)
4 Data incorrect
PHXI06:WORK ENERGY AND POWER

355607 A long spring is strecthed by 2 \(cm\). Its potential energy is \(U\). If the spring is strecthed by 10 \(cm\), its potential energy would be

1 \(\dfrac{U}{25}\)
2 \(\dfrac{U}{5}\)
3 5 \(U\)
4 25 \(U\)
PHXI06:WORK ENERGY AND POWER

355608 A vertical spring with force constant \(K\) is fixed on a table. A ball of mass \(m\) at a height \(h\) above the free upper end of the spring falls vertically on the spring, so that the spring is compressed by a distance \(d\). The net work done by the spring in the process is

1 \(m g(h+d)+\dfrac{1}{2} k d^{2}\)
2 \(-m g(h+d)\)
3 \(m g(h-d)\)
4 Zero
PHXI06:WORK ENERGY AND POWER

355609 A load of mass \(m\) falls from a height \(h\) on the scale pan hung from a spring as shown in figure. If the spring constant is \(k\) and mass of the scale pan is zero and the mass \(m\) does not bounce relative to the pan, then the amplitude of vibration is
supporting img

1 \(m g\)
2 \(m g / k \sqrt{1+2 h k / m g}\)
3 \(\dfrac{m g}{k}+\dfrac{m g}{k} \sqrt{\dfrac{1+2 h k}{m g}}\)
4 None of these
PHXI06:WORK ENERGY AND POWER

355610 A block of mass \(m\), lying on a smooth horizontal surface, is attached to a spring (of negligible mass) of spring constant \(k\). The other end of the spring is fixed, as shown in the figure. The block is initially at rest in its equilibrium position. If now the block is pulled with a constant force \(F\), the maximum speed of the block is
supporting img

1 \(\dfrac{F}{\sqrt{m k}}\)
2 \(\frac{F}{{\pi \sqrt {mk} }}\)
3 \(\dfrac{\pi F}{\sqrt{m k}}\)
4 \(\frac{{2\;F}}{{\sqrt {mk} }}\)