The Concept of Potential Energy
PHXI06:WORK ENERGY AND POWER

355585 supporting img
The potential energy function \(U\left( x \right)\) is associated with a conservative force \(F\) and described by the graph given above. If a particle being acted upon by this force has a kinetic energy of \(1.0\,J\) at position \({x_0}\). What is the particle’s kinetic energy at position \({x_4}\)?

1 \(60\;J\)
2 \(7.0\,J\)
3 \(2.0\,J\)
4 \( - 7.0\,J\)
PHXI06:WORK ENERGY AND POWER

355586 A particle of mass \(m\) is moving in a horizontal circle of radius \(r\), under a centripetal force equal to \(-\left(k / r^{2}\right)\) where \(k\) is constant. The total energy of the particle is

1 \(\dfrac{2 k}{r}\)
2 \(-\dfrac{k}{r}\)
3 \(-\dfrac{k}{2 r}\)
4 \(\dfrac{k}{2 r}\)
PHXI06:WORK ENERGY AND POWER

355587 Match Column I with Column II
Column I
Column II
A
Kinetic Energy
P
Stretched spring
B
Potential Energy
Q
Watt
C
Collision
R
Elastic or inelastic
D
Power
S
A moving car

1 A - Q, B - R, C - P, D - S
2 A - P, B - P, C - R, D - R
3 A - S, B - R, C - Q, D - Q
4 A - S, B - P, C - R, D - Q
PHXI06:WORK ENERGY AND POWER

355588 The potential energy of a conservative system is given by \(\mathrm{U}(x)=\left(x^{2}-3 x\right)\) joule. Then its equilibrium position is

1 Stable at \(x=1.5 \mathrm{~m}\)
2 Unstable at \(x=2 \mathrm{~m}\)
3 Stable at \(x=2.5 \mathrm{~m}\)
4 Unstable at \(x=3 \mathrm{~m}\)
PHXI06:WORK ENERGY AND POWER

355585 supporting img
The potential energy function \(U\left( x \right)\) is associated with a conservative force \(F\) and described by the graph given above. If a particle being acted upon by this force has a kinetic energy of \(1.0\,J\) at position \({x_0}\). What is the particle’s kinetic energy at position \({x_4}\)?

1 \(60\;J\)
2 \(7.0\,J\)
3 \(2.0\,J\)
4 \( - 7.0\,J\)
PHXI06:WORK ENERGY AND POWER

355586 A particle of mass \(m\) is moving in a horizontal circle of radius \(r\), under a centripetal force equal to \(-\left(k / r^{2}\right)\) where \(k\) is constant. The total energy of the particle is

1 \(\dfrac{2 k}{r}\)
2 \(-\dfrac{k}{r}\)
3 \(-\dfrac{k}{2 r}\)
4 \(\dfrac{k}{2 r}\)
PHXI06:WORK ENERGY AND POWER

355587 Match Column I with Column II
Column I
Column II
A
Kinetic Energy
P
Stretched spring
B
Potential Energy
Q
Watt
C
Collision
R
Elastic or inelastic
D
Power
S
A moving car

1 A - Q, B - R, C - P, D - S
2 A - P, B - P, C - R, D - R
3 A - S, B - R, C - Q, D - Q
4 A - S, B - P, C - R, D - Q
PHXI06:WORK ENERGY AND POWER

355588 The potential energy of a conservative system is given by \(\mathrm{U}(x)=\left(x^{2}-3 x\right)\) joule. Then its equilibrium position is

1 Stable at \(x=1.5 \mathrm{~m}\)
2 Unstable at \(x=2 \mathrm{~m}\)
3 Stable at \(x=2.5 \mathrm{~m}\)
4 Unstable at \(x=3 \mathrm{~m}\)
PHXI06:WORK ENERGY AND POWER

355585 supporting img
The potential energy function \(U\left( x \right)\) is associated with a conservative force \(F\) and described by the graph given above. If a particle being acted upon by this force has a kinetic energy of \(1.0\,J\) at position \({x_0}\). What is the particle’s kinetic energy at position \({x_4}\)?

1 \(60\;J\)
2 \(7.0\,J\)
3 \(2.0\,J\)
4 \( - 7.0\,J\)
PHXI06:WORK ENERGY AND POWER

355586 A particle of mass \(m\) is moving in a horizontal circle of radius \(r\), under a centripetal force equal to \(-\left(k / r^{2}\right)\) where \(k\) is constant. The total energy of the particle is

1 \(\dfrac{2 k}{r}\)
2 \(-\dfrac{k}{r}\)
3 \(-\dfrac{k}{2 r}\)
4 \(\dfrac{k}{2 r}\)
PHXI06:WORK ENERGY AND POWER

355587 Match Column I with Column II
Column I
Column II
A
Kinetic Energy
P
Stretched spring
B
Potential Energy
Q
Watt
C
Collision
R
Elastic or inelastic
D
Power
S
A moving car

1 A - Q, B - R, C - P, D - S
2 A - P, B - P, C - R, D - R
3 A - S, B - R, C - Q, D - Q
4 A - S, B - P, C - R, D - Q
PHXI06:WORK ENERGY AND POWER

355588 The potential energy of a conservative system is given by \(\mathrm{U}(x)=\left(x^{2}-3 x\right)\) joule. Then its equilibrium position is

1 Stable at \(x=1.5 \mathrm{~m}\)
2 Unstable at \(x=2 \mathrm{~m}\)
3 Stable at \(x=2.5 \mathrm{~m}\)
4 Unstable at \(x=3 \mathrm{~m}\)
PHXI06:WORK ENERGY AND POWER

355585 supporting img
The potential energy function \(U\left( x \right)\) is associated with a conservative force \(F\) and described by the graph given above. If a particle being acted upon by this force has a kinetic energy of \(1.0\,J\) at position \({x_0}\). What is the particle’s kinetic energy at position \({x_4}\)?

1 \(60\;J\)
2 \(7.0\,J\)
3 \(2.0\,J\)
4 \( - 7.0\,J\)
PHXI06:WORK ENERGY AND POWER

355586 A particle of mass \(m\) is moving in a horizontal circle of radius \(r\), under a centripetal force equal to \(-\left(k / r^{2}\right)\) where \(k\) is constant. The total energy of the particle is

1 \(\dfrac{2 k}{r}\)
2 \(-\dfrac{k}{r}\)
3 \(-\dfrac{k}{2 r}\)
4 \(\dfrac{k}{2 r}\)
PHXI06:WORK ENERGY AND POWER

355587 Match Column I with Column II
Column I
Column II
A
Kinetic Energy
P
Stretched spring
B
Potential Energy
Q
Watt
C
Collision
R
Elastic or inelastic
D
Power
S
A moving car

1 A - Q, B - R, C - P, D - S
2 A - P, B - P, C - R, D - R
3 A - S, B - R, C - Q, D - Q
4 A - S, B - P, C - R, D - Q
PHXI06:WORK ENERGY AND POWER

355588 The potential energy of a conservative system is given by \(\mathrm{U}(x)=\left(x^{2}-3 x\right)\) joule. Then its equilibrium position is

1 Stable at \(x=1.5 \mathrm{~m}\)
2 Unstable at \(x=2 \mathrm{~m}\)
3 Stable at \(x=2.5 \mathrm{~m}\)
4 Unstable at \(x=3 \mathrm{~m}\)