MOTION ON A HORIZONTAL ROUGH SURFACE
Laws of Motion

270219 A heavy uniform chain lies on horizontaltable top. If the coefficient of friction between the chain and the table surface is 0.5 , the maximum percentage of the length of the chain that can hang over one edge of the table is

1 \(20 \%\)
2 \(33.3 \%\)
3 \(76 \%\)
4 \(50 \%\)
Laws of Motion

270325 A particle is placed at rest inside a hollow hemisphere of radius\(R\). The coefficient of friction between the particle and the hemisphere is \(\mu=\frac{1}{\sqrt{3}}\). The maximum height up to which the particle can remain stationary is

1 \(\frac{R}{2}\)
2 \(\frac{\square}{1}-\frac{\sqrt{3}}{2}{ }_{0} R\)
3 \(\frac{\sqrt{3}}{2} R\)
4 \(\frac{3 R}{8}\)
Laws of Motion

270326 A horizontal force is applied on a body on a rough horizontal surface produces an acceleration '\(a\) '. If coefficient of friction between the body and surface which is \(\mu\) is reduced to \(\mu / 3\), the acceleration increases by 2 units. The value of ' \(\mu\) ' is

1 \(2 / 3 g\)
2 \(3 / 2 g\)
3 \(3 / g\)
4 \(1 / g\)
Laws of Motion

270327 A block of mass\(4 \mathrm{~kg}\) is placed in contact with the front vertical surface of a lorry. The co efficient of friction between the vertical surface and block is 0.8 .The lorry is moving with an acceleration of \(15 \mathrm{~m} / \mathrm{s}^{2}\). The force of friction between lorry and block is \(\left(g=10 \mathrm{~ms}^{-2}\right)\)

1 \(48 \mathrm{~N}\)
2 \(24 \mathrm{~N}\)
3 \(40 \mathrm{~N}\)
4 Zero
Laws of Motion

270328 A person of mass\(72 \mathrm{~kg}\) sitting on ice pushes a block of mass of \(30 \mathrm{~kg}\) on ice horizontally with a speed of \(12 \mathrm{~ms}^{-1}\). The coefficient of friction between the man and ice and between block and ice is 0.02 . If \(g=10 \mathrm{~ms}^{-1}\), the distance between man and the block,when they come to rest is

1 \(360 \mathrm{~m}\)
2 \(10 \mathrm{~m}\)
3 \(350 \mathrm{~m}\)
4 \(422.5 \mathrm{~m}\)
Laws of Motion

270219 A heavy uniform chain lies on horizontaltable top. If the coefficient of friction between the chain and the table surface is 0.5 , the maximum percentage of the length of the chain that can hang over one edge of the table is

1 \(20 \%\)
2 \(33.3 \%\)
3 \(76 \%\)
4 \(50 \%\)
Laws of Motion

270325 A particle is placed at rest inside a hollow hemisphere of radius\(R\). The coefficient of friction between the particle and the hemisphere is \(\mu=\frac{1}{\sqrt{3}}\). The maximum height up to which the particle can remain stationary is

1 \(\frac{R}{2}\)
2 \(\frac{\square}{1}-\frac{\sqrt{3}}{2}{ }_{0} R\)
3 \(\frac{\sqrt{3}}{2} R\)
4 \(\frac{3 R}{8}\)
Laws of Motion

270326 A horizontal force is applied on a body on a rough horizontal surface produces an acceleration '\(a\) '. If coefficient of friction between the body and surface which is \(\mu\) is reduced to \(\mu / 3\), the acceleration increases by 2 units. The value of ' \(\mu\) ' is

1 \(2 / 3 g\)
2 \(3 / 2 g\)
3 \(3 / g\)
4 \(1 / g\)
Laws of Motion

270327 A block of mass\(4 \mathrm{~kg}\) is placed in contact with the front vertical surface of a lorry. The co efficient of friction between the vertical surface and block is 0.8 .The lorry is moving with an acceleration of \(15 \mathrm{~m} / \mathrm{s}^{2}\). The force of friction between lorry and block is \(\left(g=10 \mathrm{~ms}^{-2}\right)\)

1 \(48 \mathrm{~N}\)
2 \(24 \mathrm{~N}\)
3 \(40 \mathrm{~N}\)
4 Zero
Laws of Motion

270328 A person of mass\(72 \mathrm{~kg}\) sitting on ice pushes a block of mass of \(30 \mathrm{~kg}\) on ice horizontally with a speed of \(12 \mathrm{~ms}^{-1}\). The coefficient of friction between the man and ice and between block and ice is 0.02 . If \(g=10 \mathrm{~ms}^{-1}\), the distance between man and the block,when they come to rest is

1 \(360 \mathrm{~m}\)
2 \(10 \mathrm{~m}\)
3 \(350 \mathrm{~m}\)
4 \(422.5 \mathrm{~m}\)
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Laws of Motion

270219 A heavy uniform chain lies on horizontaltable top. If the coefficient of friction between the chain and the table surface is 0.5 , the maximum percentage of the length of the chain that can hang over one edge of the table is

1 \(20 \%\)
2 \(33.3 \%\)
3 \(76 \%\)
4 \(50 \%\)
Laws of Motion

270325 A particle is placed at rest inside a hollow hemisphere of radius\(R\). The coefficient of friction between the particle and the hemisphere is \(\mu=\frac{1}{\sqrt{3}}\). The maximum height up to which the particle can remain stationary is

1 \(\frac{R}{2}\)
2 \(\frac{\square}{1}-\frac{\sqrt{3}}{2}{ }_{0} R\)
3 \(\frac{\sqrt{3}}{2} R\)
4 \(\frac{3 R}{8}\)
Laws of Motion

270326 A horizontal force is applied on a body on a rough horizontal surface produces an acceleration '\(a\) '. If coefficient of friction between the body and surface which is \(\mu\) is reduced to \(\mu / 3\), the acceleration increases by 2 units. The value of ' \(\mu\) ' is

1 \(2 / 3 g\)
2 \(3 / 2 g\)
3 \(3 / g\)
4 \(1 / g\)
Laws of Motion

270327 A block of mass\(4 \mathrm{~kg}\) is placed in contact with the front vertical surface of a lorry. The co efficient of friction between the vertical surface and block is 0.8 .The lorry is moving with an acceleration of \(15 \mathrm{~m} / \mathrm{s}^{2}\). The force of friction between lorry and block is \(\left(g=10 \mathrm{~ms}^{-2}\right)\)

1 \(48 \mathrm{~N}\)
2 \(24 \mathrm{~N}\)
3 \(40 \mathrm{~N}\)
4 Zero
Laws of Motion

270328 A person of mass\(72 \mathrm{~kg}\) sitting on ice pushes a block of mass of \(30 \mathrm{~kg}\) on ice horizontally with a speed of \(12 \mathrm{~ms}^{-1}\). The coefficient of friction between the man and ice and between block and ice is 0.02 . If \(g=10 \mathrm{~ms}^{-1}\), the distance between man and the block,when they come to rest is

1 \(360 \mathrm{~m}\)
2 \(10 \mathrm{~m}\)
3 \(350 \mathrm{~m}\)
4 \(422.5 \mathrm{~m}\)
Laws of Motion

270219 A heavy uniform chain lies on horizontaltable top. If the coefficient of friction between the chain and the table surface is 0.5 , the maximum percentage of the length of the chain that can hang over one edge of the table is

1 \(20 \%\)
2 \(33.3 \%\)
3 \(76 \%\)
4 \(50 \%\)
Laws of Motion

270325 A particle is placed at rest inside a hollow hemisphere of radius\(R\). The coefficient of friction between the particle and the hemisphere is \(\mu=\frac{1}{\sqrt{3}}\). The maximum height up to which the particle can remain stationary is

1 \(\frac{R}{2}\)
2 \(\frac{\square}{1}-\frac{\sqrt{3}}{2}{ }_{0} R\)
3 \(\frac{\sqrt{3}}{2} R\)
4 \(\frac{3 R}{8}\)
Laws of Motion

270326 A horizontal force is applied on a body on a rough horizontal surface produces an acceleration '\(a\) '. If coefficient of friction between the body and surface which is \(\mu\) is reduced to \(\mu / 3\), the acceleration increases by 2 units. The value of ' \(\mu\) ' is

1 \(2 / 3 g\)
2 \(3 / 2 g\)
3 \(3 / g\)
4 \(1 / g\)
Laws of Motion

270327 A block of mass\(4 \mathrm{~kg}\) is placed in contact with the front vertical surface of a lorry. The co efficient of friction between the vertical surface and block is 0.8 .The lorry is moving with an acceleration of \(15 \mathrm{~m} / \mathrm{s}^{2}\). The force of friction between lorry and block is \(\left(g=10 \mathrm{~ms}^{-2}\right)\)

1 \(48 \mathrm{~N}\)
2 \(24 \mathrm{~N}\)
3 \(40 \mathrm{~N}\)
4 Zero
Laws of Motion

270328 A person of mass\(72 \mathrm{~kg}\) sitting on ice pushes a block of mass of \(30 \mathrm{~kg}\) on ice horizontally with a speed of \(12 \mathrm{~ms}^{-1}\). The coefficient of friction between the man and ice and between block and ice is 0.02 . If \(g=10 \mathrm{~ms}^{-1}\), the distance between man and the block,when they come to rest is

1 \(360 \mathrm{~m}\)
2 \(10 \mathrm{~m}\)
3 \(350 \mathrm{~m}\)
4 \(422.5 \mathrm{~m}\)
Laws of Motion

270219 A heavy uniform chain lies on horizontaltable top. If the coefficient of friction between the chain and the table surface is 0.5 , the maximum percentage of the length of the chain that can hang over one edge of the table is

1 \(20 \%\)
2 \(33.3 \%\)
3 \(76 \%\)
4 \(50 \%\)
Laws of Motion

270325 A particle is placed at rest inside a hollow hemisphere of radius\(R\). The coefficient of friction between the particle and the hemisphere is \(\mu=\frac{1}{\sqrt{3}}\). The maximum height up to which the particle can remain stationary is

1 \(\frac{R}{2}\)
2 \(\frac{\square}{1}-\frac{\sqrt{3}}{2}{ }_{0} R\)
3 \(\frac{\sqrt{3}}{2} R\)
4 \(\frac{3 R}{8}\)
Laws of Motion

270326 A horizontal force is applied on a body on a rough horizontal surface produces an acceleration '\(a\) '. If coefficient of friction between the body and surface which is \(\mu\) is reduced to \(\mu / 3\), the acceleration increases by 2 units. The value of ' \(\mu\) ' is

1 \(2 / 3 g\)
2 \(3 / 2 g\)
3 \(3 / g\)
4 \(1 / g\)
Laws of Motion

270327 A block of mass\(4 \mathrm{~kg}\) is placed in contact with the front vertical surface of a lorry. The co efficient of friction between the vertical surface and block is 0.8 .The lorry is moving with an acceleration of \(15 \mathrm{~m} / \mathrm{s}^{2}\). The force of friction between lorry and block is \(\left(g=10 \mathrm{~ms}^{-2}\right)\)

1 \(48 \mathrm{~N}\)
2 \(24 \mathrm{~N}\)
3 \(40 \mathrm{~N}\)
4 Zero
Laws of Motion

270328 A person of mass\(72 \mathrm{~kg}\) sitting on ice pushes a block of mass of \(30 \mathrm{~kg}\) on ice horizontally with a speed of \(12 \mathrm{~ms}^{-1}\). The coefficient of friction between the man and ice and between block and ice is 0.02 . If \(g=10 \mathrm{~ms}^{-1}\), the distance between man and the block,when they come to rest is

1 \(360 \mathrm{~m}\)
2 \(10 \mathrm{~m}\)
3 \(350 \mathrm{~m}\)
4 \(422.5 \mathrm{~m}\)