The Concept of Potential Energy
PHXI06:WORK ENERGY AND POWER

355602 The block of mass \(M\) moving on the frictionless horizontal surface collides with the spring of spring constant \(k\) and compresses it by length \(L\). The maximum momentum of the block after collision is
supporting img

1 \(\sqrt{M k} L\)
2 \(\dfrac{k L^{2}}{2 M}\)
3 Zero
4 \(\dfrac{M L^{2}}{k}\)
PHXI06:WORK ENERGY AND POWER

355603 A spring, when stretched by \(2\,mm\), its potential energy becomes \({4 J}\). If it is further stretched to \(10\,mm\), its potential energy will be equal to

1 \({144 J}\)
2 \({54 J}\)
3 \({415 J}\)
4 \({100 J}\)
PHXI06:WORK ENERGY AND POWER

355604 A massless spring of force constant \({1000 {~N} / {m}}\) is compressed a distance of \(20\,cm\) between discs of \(8\,kg\) and \(2\,kg\), spring is not attached to discs. The system is given an initial velocity \({3 {~m} / {s}}\) perpendicular to length of spring as shown in figure. What is ground frame velocity of \(2\,kg\) block when spring regains its natural length.
supporting img

1 \(5\,m/s\)
2 \(2\,m/s\)
3 \(7\,m/s\)
4 \(9\,m/s\)
PHXI06:WORK ENERGY AND POWER

355605 Statement A :
Graph between potential energy of a spring versus the extension or compression of the spring is a straight line.
Statement B :
Potential energy of a stretched or compressed spring, proportional to square of extension or compression.

1 Statement A is correct but Statement B is incorrect.
2 Statement A is incorrect but Statement B is correct.
3 Both statements are correct.
4 Both Statements are incorrect.
PHXI06:WORK ENERGY AND POWER

355602 The block of mass \(M\) moving on the frictionless horizontal surface collides with the spring of spring constant \(k\) and compresses it by length \(L\). The maximum momentum of the block after collision is
supporting img

1 \(\sqrt{M k} L\)
2 \(\dfrac{k L^{2}}{2 M}\)
3 Zero
4 \(\dfrac{M L^{2}}{k}\)
PHXI06:WORK ENERGY AND POWER

355603 A spring, when stretched by \(2\,mm\), its potential energy becomes \({4 J}\). If it is further stretched to \(10\,mm\), its potential energy will be equal to

1 \({144 J}\)
2 \({54 J}\)
3 \({415 J}\)
4 \({100 J}\)
PHXI06:WORK ENERGY AND POWER

355604 A massless spring of force constant \({1000 {~N} / {m}}\) is compressed a distance of \(20\,cm\) between discs of \(8\,kg\) and \(2\,kg\), spring is not attached to discs. The system is given an initial velocity \({3 {~m} / {s}}\) perpendicular to length of spring as shown in figure. What is ground frame velocity of \(2\,kg\) block when spring regains its natural length.
supporting img

1 \(5\,m/s\)
2 \(2\,m/s\)
3 \(7\,m/s\)
4 \(9\,m/s\)
PHXI06:WORK ENERGY AND POWER

355605 Statement A :
Graph between potential energy of a spring versus the extension or compression of the spring is a straight line.
Statement B :
Potential energy of a stretched or compressed spring, proportional to square of extension or compression.

1 Statement A is correct but Statement B is incorrect.
2 Statement A is incorrect but Statement B is correct.
3 Both statements are correct.
4 Both Statements are incorrect.
PHXI06:WORK ENERGY AND POWER

355602 The block of mass \(M\) moving on the frictionless horizontal surface collides with the spring of spring constant \(k\) and compresses it by length \(L\). The maximum momentum of the block after collision is
supporting img

1 \(\sqrt{M k} L\)
2 \(\dfrac{k L^{2}}{2 M}\)
3 Zero
4 \(\dfrac{M L^{2}}{k}\)
PHXI06:WORK ENERGY AND POWER

355603 A spring, when stretched by \(2\,mm\), its potential energy becomes \({4 J}\). If it is further stretched to \(10\,mm\), its potential energy will be equal to

1 \({144 J}\)
2 \({54 J}\)
3 \({415 J}\)
4 \({100 J}\)
PHXI06:WORK ENERGY AND POWER

355604 A massless spring of force constant \({1000 {~N} / {m}}\) is compressed a distance of \(20\,cm\) between discs of \(8\,kg\) and \(2\,kg\), spring is not attached to discs. The system is given an initial velocity \({3 {~m} / {s}}\) perpendicular to length of spring as shown in figure. What is ground frame velocity of \(2\,kg\) block when spring regains its natural length.
supporting img

1 \(5\,m/s\)
2 \(2\,m/s\)
3 \(7\,m/s\)
4 \(9\,m/s\)
PHXI06:WORK ENERGY AND POWER

355605 Statement A :
Graph between potential energy of a spring versus the extension or compression of the spring is a straight line.
Statement B :
Potential energy of a stretched or compressed spring, proportional to square of extension or compression.

1 Statement A is correct but Statement B is incorrect.
2 Statement A is incorrect but Statement B is correct.
3 Both statements are correct.
4 Both Statements are incorrect.
NEET Test Series from KOTA - 10 Papers In MS WORD WhatsApp Here
PHXI06:WORK ENERGY AND POWER

355602 The block of mass \(M\) moving on the frictionless horizontal surface collides with the spring of spring constant \(k\) and compresses it by length \(L\). The maximum momentum of the block after collision is
supporting img

1 \(\sqrt{M k} L\)
2 \(\dfrac{k L^{2}}{2 M}\)
3 Zero
4 \(\dfrac{M L^{2}}{k}\)
PHXI06:WORK ENERGY AND POWER

355603 A spring, when stretched by \(2\,mm\), its potential energy becomes \({4 J}\). If it is further stretched to \(10\,mm\), its potential energy will be equal to

1 \({144 J}\)
2 \({54 J}\)
3 \({415 J}\)
4 \({100 J}\)
PHXI06:WORK ENERGY AND POWER

355604 A massless spring of force constant \({1000 {~N} / {m}}\) is compressed a distance of \(20\,cm\) between discs of \(8\,kg\) and \(2\,kg\), spring is not attached to discs. The system is given an initial velocity \({3 {~m} / {s}}\) perpendicular to length of spring as shown in figure. What is ground frame velocity of \(2\,kg\) block when spring regains its natural length.
supporting img

1 \(5\,m/s\)
2 \(2\,m/s\)
3 \(7\,m/s\)
4 \(9\,m/s\)
PHXI06:WORK ENERGY AND POWER

355605 Statement A :
Graph between potential energy of a spring versus the extension or compression of the spring is a straight line.
Statement B :
Potential energy of a stretched or compressed spring, proportional to square of extension or compression.

1 Statement A is correct but Statement B is incorrect.
2 Statement A is incorrect but Statement B is correct.
3 Both statements are correct.
4 Both Statements are incorrect.