PULLING / PUSHING A BODY
Laws of Motion

270181 A block of weight \(200 \mathrm{~N}\) is pulled along a rough horizontal surface at constant speed by a force of \(100 \mathrm{~N}\) acting at an angle \(30^{\circ}\) above the horizontal. The coefficient of kinetic friction between the block and the surface is

1 0.43
2 0.58
3 0.75
4 0.83
Laws of Motion

270288 A block weighing\(10 \mathrm{~kg}\) is at rest on a horizontal table. The coefficient of static friction between the block and the table is 0.5. If a force acts downward at \(60^{\circ}\) with the horizontal, how large can it be without causing the block to move? \(\left(g=10 \mathrm{~ms}^{-2}\right)\)

1 \(346 \mathrm{~N}\)
2 \(446 \mathrm{~N}\)
3 \(746 \mathrm{~N}\)
4 \(846 \mathrm{~N}\)
Laws of Motion

270289 A pulling force making an angle\(\theta\) with the horizontal is applied on a block of weight \(W\) placed on a horizontal table. If the angle of friction is \(\varphi\), the magnitude of the force required to move the body is equal to

1 \(\frac{W \operatorname{Cos} \varphi}{\operatorname{Cos}(\theta-\varphi)}\)
2 \(\frac{W \sin \varphi}{\operatorname{Cos}(\theta-\varphi)}\)
3 \(\frac{W T a n \varphi}{\operatorname{Sin}(\theta-\varphi)}\)
4 \(\frac{W \operatorname{Sin} \varphi}{\operatorname{Tan}(\theta-\varphi)}\)
Laws of Motion

270290 A block of mass\(\sqrt{3} \mathrm{~kg}\) is kept on a frictional surface with \(\mu=\frac{1}{2 \sqrt{3}}\). The minimum force to be applied as shown to move the block is

1 \(5 \mathrm{~N}\)
2 \(20 \mathrm{~N}\)
3 \(10 \mathrm{~N}\)
4 \(20 / 3 \mathrm{~N}\)
Laws of Motion

270346 A block of weight\(100 \mathrm{~N}\) is lying on a rough horizontal surface. If coefficient of friction \(\frac{1}{\sqrt{3}}\). The least possible force that can move the block is

1 \(\frac{100}{\sqrt{3}} \mathrm{~N}\)
2 \(100 \sqrt{3} \mathrm{~N}\)
3 \(50 \sqrt{3} \mathrm{~N}\)
4 \(50 \mathrm{~N}\)
Laws of Motion

270181 A block of weight \(200 \mathrm{~N}\) is pulled along a rough horizontal surface at constant speed by a force of \(100 \mathrm{~N}\) acting at an angle \(30^{\circ}\) above the horizontal. The coefficient of kinetic friction between the block and the surface is

1 0.43
2 0.58
3 0.75
4 0.83
Laws of Motion

270288 A block weighing\(10 \mathrm{~kg}\) is at rest on a horizontal table. The coefficient of static friction between the block and the table is 0.5. If a force acts downward at \(60^{\circ}\) with the horizontal, how large can it be without causing the block to move? \(\left(g=10 \mathrm{~ms}^{-2}\right)\)

1 \(346 \mathrm{~N}\)
2 \(446 \mathrm{~N}\)
3 \(746 \mathrm{~N}\)
4 \(846 \mathrm{~N}\)
Laws of Motion

270289 A pulling force making an angle\(\theta\) with the horizontal is applied on a block of weight \(W\) placed on a horizontal table. If the angle of friction is \(\varphi\), the magnitude of the force required to move the body is equal to

1 \(\frac{W \operatorname{Cos} \varphi}{\operatorname{Cos}(\theta-\varphi)}\)
2 \(\frac{W \sin \varphi}{\operatorname{Cos}(\theta-\varphi)}\)
3 \(\frac{W T a n \varphi}{\operatorname{Sin}(\theta-\varphi)}\)
4 \(\frac{W \operatorname{Sin} \varphi}{\operatorname{Tan}(\theta-\varphi)}\)
Laws of Motion

270290 A block of mass\(\sqrt{3} \mathrm{~kg}\) is kept on a frictional surface with \(\mu=\frac{1}{2 \sqrt{3}}\). The minimum force to be applied as shown to move the block is

1 \(5 \mathrm{~N}\)
2 \(20 \mathrm{~N}\)
3 \(10 \mathrm{~N}\)
4 \(20 / 3 \mathrm{~N}\)
Laws of Motion

270346 A block of weight\(100 \mathrm{~N}\) is lying on a rough horizontal surface. If coefficient of friction \(\frac{1}{\sqrt{3}}\). The least possible force that can move the block is

1 \(\frac{100}{\sqrt{3}} \mathrm{~N}\)
2 \(100 \sqrt{3} \mathrm{~N}\)
3 \(50 \sqrt{3} \mathrm{~N}\)
4 \(50 \mathrm{~N}\)
Laws of Motion

270181 A block of weight \(200 \mathrm{~N}\) is pulled along a rough horizontal surface at constant speed by a force of \(100 \mathrm{~N}\) acting at an angle \(30^{\circ}\) above the horizontal. The coefficient of kinetic friction between the block and the surface is

1 0.43
2 0.58
3 0.75
4 0.83
Laws of Motion

270288 A block weighing\(10 \mathrm{~kg}\) is at rest on a horizontal table. The coefficient of static friction between the block and the table is 0.5. If a force acts downward at \(60^{\circ}\) with the horizontal, how large can it be without causing the block to move? \(\left(g=10 \mathrm{~ms}^{-2}\right)\)

1 \(346 \mathrm{~N}\)
2 \(446 \mathrm{~N}\)
3 \(746 \mathrm{~N}\)
4 \(846 \mathrm{~N}\)
Laws of Motion

270289 A pulling force making an angle\(\theta\) with the horizontal is applied on a block of weight \(W\) placed on a horizontal table. If the angle of friction is \(\varphi\), the magnitude of the force required to move the body is equal to

1 \(\frac{W \operatorname{Cos} \varphi}{\operatorname{Cos}(\theta-\varphi)}\)
2 \(\frac{W \sin \varphi}{\operatorname{Cos}(\theta-\varphi)}\)
3 \(\frac{W T a n \varphi}{\operatorname{Sin}(\theta-\varphi)}\)
4 \(\frac{W \operatorname{Sin} \varphi}{\operatorname{Tan}(\theta-\varphi)}\)
Laws of Motion

270290 A block of mass\(\sqrt{3} \mathrm{~kg}\) is kept on a frictional surface with \(\mu=\frac{1}{2 \sqrt{3}}\). The minimum force to be applied as shown to move the block is

1 \(5 \mathrm{~N}\)
2 \(20 \mathrm{~N}\)
3 \(10 \mathrm{~N}\)
4 \(20 / 3 \mathrm{~N}\)
Laws of Motion

270346 A block of weight\(100 \mathrm{~N}\) is lying on a rough horizontal surface. If coefficient of friction \(\frac{1}{\sqrt{3}}\). The least possible force that can move the block is

1 \(\frac{100}{\sqrt{3}} \mathrm{~N}\)
2 \(100 \sqrt{3} \mathrm{~N}\)
3 \(50 \sqrt{3} \mathrm{~N}\)
4 \(50 \mathrm{~N}\)
Laws of Motion

270181 A block of weight \(200 \mathrm{~N}\) is pulled along a rough horizontal surface at constant speed by a force of \(100 \mathrm{~N}\) acting at an angle \(30^{\circ}\) above the horizontal. The coefficient of kinetic friction between the block and the surface is

1 0.43
2 0.58
3 0.75
4 0.83
Laws of Motion

270288 A block weighing\(10 \mathrm{~kg}\) is at rest on a horizontal table. The coefficient of static friction between the block and the table is 0.5. If a force acts downward at \(60^{\circ}\) with the horizontal, how large can it be without causing the block to move? \(\left(g=10 \mathrm{~ms}^{-2}\right)\)

1 \(346 \mathrm{~N}\)
2 \(446 \mathrm{~N}\)
3 \(746 \mathrm{~N}\)
4 \(846 \mathrm{~N}\)
Laws of Motion

270289 A pulling force making an angle\(\theta\) with the horizontal is applied on a block of weight \(W\) placed on a horizontal table. If the angle of friction is \(\varphi\), the magnitude of the force required to move the body is equal to

1 \(\frac{W \operatorname{Cos} \varphi}{\operatorname{Cos}(\theta-\varphi)}\)
2 \(\frac{W \sin \varphi}{\operatorname{Cos}(\theta-\varphi)}\)
3 \(\frac{W T a n \varphi}{\operatorname{Sin}(\theta-\varphi)}\)
4 \(\frac{W \operatorname{Sin} \varphi}{\operatorname{Tan}(\theta-\varphi)}\)
Laws of Motion

270290 A block of mass\(\sqrt{3} \mathrm{~kg}\) is kept on a frictional surface with \(\mu=\frac{1}{2 \sqrt{3}}\). The minimum force to be applied as shown to move the block is

1 \(5 \mathrm{~N}\)
2 \(20 \mathrm{~N}\)
3 \(10 \mathrm{~N}\)
4 \(20 / 3 \mathrm{~N}\)
Laws of Motion

270346 A block of weight\(100 \mathrm{~N}\) is lying on a rough horizontal surface. If coefficient of friction \(\frac{1}{\sqrt{3}}\). The least possible force that can move the block is

1 \(\frac{100}{\sqrt{3}} \mathrm{~N}\)
2 \(100 \sqrt{3} \mathrm{~N}\)
3 \(50 \sqrt{3} \mathrm{~N}\)
4 \(50 \mathrm{~N}\)
Laws of Motion

270181 A block of weight \(200 \mathrm{~N}\) is pulled along a rough horizontal surface at constant speed by a force of \(100 \mathrm{~N}\) acting at an angle \(30^{\circ}\) above the horizontal. The coefficient of kinetic friction between the block and the surface is

1 0.43
2 0.58
3 0.75
4 0.83
Laws of Motion

270288 A block weighing\(10 \mathrm{~kg}\) is at rest on a horizontal table. The coefficient of static friction between the block and the table is 0.5. If a force acts downward at \(60^{\circ}\) with the horizontal, how large can it be without causing the block to move? \(\left(g=10 \mathrm{~ms}^{-2}\right)\)

1 \(346 \mathrm{~N}\)
2 \(446 \mathrm{~N}\)
3 \(746 \mathrm{~N}\)
4 \(846 \mathrm{~N}\)
Laws of Motion

270289 A pulling force making an angle\(\theta\) with the horizontal is applied on a block of weight \(W\) placed on a horizontal table. If the angle of friction is \(\varphi\), the magnitude of the force required to move the body is equal to

1 \(\frac{W \operatorname{Cos} \varphi}{\operatorname{Cos}(\theta-\varphi)}\)
2 \(\frac{W \sin \varphi}{\operatorname{Cos}(\theta-\varphi)}\)
3 \(\frac{W T a n \varphi}{\operatorname{Sin}(\theta-\varphi)}\)
4 \(\frac{W \operatorname{Sin} \varphi}{\operatorname{Tan}(\theta-\varphi)}\)
Laws of Motion

270290 A block of mass\(\sqrt{3} \mathrm{~kg}\) is kept on a frictional surface with \(\mu=\frac{1}{2 \sqrt{3}}\). The minimum force to be applied as shown to move the block is

1 \(5 \mathrm{~N}\)
2 \(20 \mathrm{~N}\)
3 \(10 \mathrm{~N}\)
4 \(20 / 3 \mathrm{~N}\)
Laws of Motion

270346 A block of weight\(100 \mathrm{~N}\) is lying on a rough horizontal surface. If coefficient of friction \(\frac{1}{\sqrt{3}}\). The least possible force that can move the block is

1 \(\frac{100}{\sqrt{3}} \mathrm{~N}\)
2 \(100 \sqrt{3} \mathrm{~N}\)
3 \(50 \sqrt{3} \mathrm{~N}\)
4 \(50 \mathrm{~N}\)