WORK ENERGY THEOREM FOR VARIABLE FORCE
Work, Energy and Power

268661 A bead of mass \(\frac{1}{2} \mathrm{~kg}\) starts from rest from "A" to move in a vertical plane along a smooth fixed quarter ring of radius \(5 \mathrm{~m}\), under the action of a constant horizontal force \(F=5\) \(\mathrm{N}\) as shown. The speed of bead as it reaches point " \(B\) " is

1 14.14 m/s
2 7.07 m/s
3 5 m/s
4 25 m/s
Work, Energy and Power

268723 A block of mass \(4 \mathrm{~kg}\) is initially at rest on a horizontal frictionless surface. A horizontal force \(\vec{F}=(3+x) \hat{i}\) newtons acts on it, when the block is at \(x=0\). The maximum kinetic energy of the block between \(x=0\) and \(x=2 \mathrm{~m}\) is

1 \(6 \mathrm{~J}\)
2 \(8 \mathrm{~J}\)
3 \(9 \mathrm{~J}\)
4 \(10 \mathrm{~J}\)
Work, Energy and Power

268773 A block of mass\(2 \mathrm{~kg}\) is initially at rest on a horizontal frictionless surface. A horizontal force \(\bar{F}=\left(9-x^{2}\right) \bar{i}\) newton acts on it, when the block is at \(x=0\). The maximum kinetic energy of the block between \(x=0 \mathrm{~m}\) and \(x=3 \mathbf{~ m}\) in joule is

1 24
2 20
3 18
4 15
Work, Energy and Power

268847 A block of mass\(4 \mathrm{~kg}\) is initially at rest on a horizontal frictionless surface.A force \(\vec{F}=\left(2 x+3 x^{2}\right) \hat{i} N\) acts horizontally on it. The maximum kinetic energy of the block between \(x=2 m\) and \(x=4 m\) in joules is

1 40
2 36
3 68
4 52
Work, Energy and Power

268848 A force\(\mathrm{F}=\mathrm{A} \mathbf{y}^{2}+\mathrm{By}+\mathrm{C}\) acts on a body at rest in the Y-direction. The kinetic
energy of the body during a displacement \(y=-a\) to \(y=a\) is

1 \(\frac{2 A a^{3}}{3}\)
2 \(\frac{2 A a^{3}}{3}+2 c a\)
3 \(\frac{2 A a^{3}}{3}+\frac{B a^{2}}{2}+c a\)
4 \(\frac{2 A a^{3}}{3}+\frac{B a^{2}}{2}\)
Work, Energy and Power

268661 A bead of mass \(\frac{1}{2} \mathrm{~kg}\) starts from rest from "A" to move in a vertical plane along a smooth fixed quarter ring of radius \(5 \mathrm{~m}\), under the action of a constant horizontal force \(F=5\) \(\mathrm{N}\) as shown. The speed of bead as it reaches point " \(B\) " is

1 14.14 m/s
2 7.07 m/s
3 5 m/s
4 25 m/s
Work, Energy and Power

268723 A block of mass \(4 \mathrm{~kg}\) is initially at rest on a horizontal frictionless surface. A horizontal force \(\vec{F}=(3+x) \hat{i}\) newtons acts on it, when the block is at \(x=0\). The maximum kinetic energy of the block between \(x=0\) and \(x=2 \mathrm{~m}\) is

1 \(6 \mathrm{~J}\)
2 \(8 \mathrm{~J}\)
3 \(9 \mathrm{~J}\)
4 \(10 \mathrm{~J}\)
Work, Energy and Power

268773 A block of mass\(2 \mathrm{~kg}\) is initially at rest on a horizontal frictionless surface. A horizontal force \(\bar{F}=\left(9-x^{2}\right) \bar{i}\) newton acts on it, when the block is at \(x=0\). The maximum kinetic energy of the block between \(x=0 \mathrm{~m}\) and \(x=3 \mathbf{~ m}\) in joule is

1 24
2 20
3 18
4 15
Work, Energy and Power

268847 A block of mass\(4 \mathrm{~kg}\) is initially at rest on a horizontal frictionless surface.A force \(\vec{F}=\left(2 x+3 x^{2}\right) \hat{i} N\) acts horizontally on it. The maximum kinetic energy of the block between \(x=2 m\) and \(x=4 m\) in joules is

1 40
2 36
3 68
4 52
Work, Energy and Power

268848 A force\(\mathrm{F}=\mathrm{A} \mathbf{y}^{2}+\mathrm{By}+\mathrm{C}\) acts on a body at rest in the Y-direction. The kinetic
energy of the body during a displacement \(y=-a\) to \(y=a\) is

1 \(\frac{2 A a^{3}}{3}\)
2 \(\frac{2 A a^{3}}{3}+2 c a\)
3 \(\frac{2 A a^{3}}{3}+\frac{B a^{2}}{2}+c a\)
4 \(\frac{2 A a^{3}}{3}+\frac{B a^{2}}{2}\)
Work, Energy and Power

268661 A bead of mass \(\frac{1}{2} \mathrm{~kg}\) starts from rest from "A" to move in a vertical plane along a smooth fixed quarter ring of radius \(5 \mathrm{~m}\), under the action of a constant horizontal force \(F=5\) \(\mathrm{N}\) as shown. The speed of bead as it reaches point " \(B\) " is

1 14.14 m/s
2 7.07 m/s
3 5 m/s
4 25 m/s
Work, Energy and Power

268723 A block of mass \(4 \mathrm{~kg}\) is initially at rest on a horizontal frictionless surface. A horizontal force \(\vec{F}=(3+x) \hat{i}\) newtons acts on it, when the block is at \(x=0\). The maximum kinetic energy of the block between \(x=0\) and \(x=2 \mathrm{~m}\) is

1 \(6 \mathrm{~J}\)
2 \(8 \mathrm{~J}\)
3 \(9 \mathrm{~J}\)
4 \(10 \mathrm{~J}\)
Work, Energy and Power

268773 A block of mass\(2 \mathrm{~kg}\) is initially at rest on a horizontal frictionless surface. A horizontal force \(\bar{F}=\left(9-x^{2}\right) \bar{i}\) newton acts on it, when the block is at \(x=0\). The maximum kinetic energy of the block between \(x=0 \mathrm{~m}\) and \(x=3 \mathbf{~ m}\) in joule is

1 24
2 20
3 18
4 15
Work, Energy and Power

268847 A block of mass\(4 \mathrm{~kg}\) is initially at rest on a horizontal frictionless surface.A force \(\vec{F}=\left(2 x+3 x^{2}\right) \hat{i} N\) acts horizontally on it. The maximum kinetic energy of the block between \(x=2 m\) and \(x=4 m\) in joules is

1 40
2 36
3 68
4 52
Work, Energy and Power

268848 A force\(\mathrm{F}=\mathrm{A} \mathbf{y}^{2}+\mathrm{By}+\mathrm{C}\) acts on a body at rest in the Y-direction. The kinetic
energy of the body during a displacement \(y=-a\) to \(y=a\) is

1 \(\frac{2 A a^{3}}{3}\)
2 \(\frac{2 A a^{3}}{3}+2 c a\)
3 \(\frac{2 A a^{3}}{3}+\frac{B a^{2}}{2}+c a\)
4 \(\frac{2 A a^{3}}{3}+\frac{B a^{2}}{2}\)
NEET Test Series from KOTA - 10 Papers In MS WORD WhatsApp Here
Work, Energy and Power

268661 A bead of mass \(\frac{1}{2} \mathrm{~kg}\) starts from rest from "A" to move in a vertical plane along a smooth fixed quarter ring of radius \(5 \mathrm{~m}\), under the action of a constant horizontal force \(F=5\) \(\mathrm{N}\) as shown. The speed of bead as it reaches point " \(B\) " is

1 14.14 m/s
2 7.07 m/s
3 5 m/s
4 25 m/s
Work, Energy and Power

268723 A block of mass \(4 \mathrm{~kg}\) is initially at rest on a horizontal frictionless surface. A horizontal force \(\vec{F}=(3+x) \hat{i}\) newtons acts on it, when the block is at \(x=0\). The maximum kinetic energy of the block between \(x=0\) and \(x=2 \mathrm{~m}\) is

1 \(6 \mathrm{~J}\)
2 \(8 \mathrm{~J}\)
3 \(9 \mathrm{~J}\)
4 \(10 \mathrm{~J}\)
Work, Energy and Power

268773 A block of mass\(2 \mathrm{~kg}\) is initially at rest on a horizontal frictionless surface. A horizontal force \(\bar{F}=\left(9-x^{2}\right) \bar{i}\) newton acts on it, when the block is at \(x=0\). The maximum kinetic energy of the block between \(x=0 \mathrm{~m}\) and \(x=3 \mathbf{~ m}\) in joule is

1 24
2 20
3 18
4 15
Work, Energy and Power

268847 A block of mass\(4 \mathrm{~kg}\) is initially at rest on a horizontal frictionless surface.A force \(\vec{F}=\left(2 x+3 x^{2}\right) \hat{i} N\) acts horizontally on it. The maximum kinetic energy of the block between \(x=2 m\) and \(x=4 m\) in joules is

1 40
2 36
3 68
4 52
Work, Energy and Power

268848 A force\(\mathrm{F}=\mathrm{A} \mathbf{y}^{2}+\mathrm{By}+\mathrm{C}\) acts on a body at rest in the Y-direction. The kinetic
energy of the body during a displacement \(y=-a\) to \(y=a\) is

1 \(\frac{2 A a^{3}}{3}\)
2 \(\frac{2 A a^{3}}{3}+2 c a\)
3 \(\frac{2 A a^{3}}{3}+\frac{B a^{2}}{2}+c a\)
4 \(\frac{2 A a^{3}}{3}+\frac{B a^{2}}{2}\)
Work, Energy and Power

268661 A bead of mass \(\frac{1}{2} \mathrm{~kg}\) starts from rest from "A" to move in a vertical plane along a smooth fixed quarter ring of radius \(5 \mathrm{~m}\), under the action of a constant horizontal force \(F=5\) \(\mathrm{N}\) as shown. The speed of bead as it reaches point " \(B\) " is

1 14.14 m/s
2 7.07 m/s
3 5 m/s
4 25 m/s
Work, Energy and Power

268723 A block of mass \(4 \mathrm{~kg}\) is initially at rest on a horizontal frictionless surface. A horizontal force \(\vec{F}=(3+x) \hat{i}\) newtons acts on it, when the block is at \(x=0\). The maximum kinetic energy of the block between \(x=0\) and \(x=2 \mathrm{~m}\) is

1 \(6 \mathrm{~J}\)
2 \(8 \mathrm{~J}\)
3 \(9 \mathrm{~J}\)
4 \(10 \mathrm{~J}\)
Work, Energy and Power

268773 A block of mass\(2 \mathrm{~kg}\) is initially at rest on a horizontal frictionless surface. A horizontal force \(\bar{F}=\left(9-x^{2}\right) \bar{i}\) newton acts on it, when the block is at \(x=0\). The maximum kinetic energy of the block between \(x=0 \mathrm{~m}\) and \(x=3 \mathbf{~ m}\) in joule is

1 24
2 20
3 18
4 15
Work, Energy and Power

268847 A block of mass\(4 \mathrm{~kg}\) is initially at rest on a horizontal frictionless surface.A force \(\vec{F}=\left(2 x+3 x^{2}\right) \hat{i} N\) acts horizontally on it. The maximum kinetic energy of the block between \(x=2 m\) and \(x=4 m\) in joules is

1 40
2 36
3 68
4 52
Work, Energy and Power

268848 A force\(\mathrm{F}=\mathrm{A} \mathbf{y}^{2}+\mathrm{By}+\mathrm{C}\) acts on a body at rest in the Y-direction. The kinetic
energy of the body during a displacement \(y=-a\) to \(y=a\) is

1 \(\frac{2 A a^{3}}{3}\)
2 \(\frac{2 A a^{3}}{3}+2 c a\)
3 \(\frac{2 A a^{3}}{3}+\frac{B a^{2}}{2}+c a\)
4 \(\frac{2 A a^{3}}{3}+\frac{B a^{2}}{2}\)