04. Friction, and Inclined Plane Friction Motion
Laws of Motion

146136 A force of \(20 \mathrm{~N}\) is applied on a body of mass 5 kg resting on a horizontal plane. The body gains a kinetic energy of \(10 \mathrm{~J}\) after it moves a distance \(2 \mathrm{~m}\). The frictional force is

1 \(10 \mathrm{~N}\)
2 \(15 \mathrm{~N}\)
3 \(20 \mathrm{~N}\)
4 \(30 \mathrm{~N}\)
Laws of Motion

146137 A block of mass \(m=2 \mathrm{~kg}\) is initially at rest on a horizontal surface. A horizontal force \(\overrightarrow{\mathbf{F}}_{1}=(6 \mathrm{~N}) \hat{\mathbf{i}}\) and a vertical force \(\overrightarrow{\mathbf{F}}_{2}=(10 \mathrm{~N}) \hat{\mathbf{j}}\) are then applied to the block. The coefficients of static friction and kinetic friction for the block and the surfaces are 0.4 and 0.25 , respectively. The magnitude of the frictional force acting on the block is (assume, \(g=10 \mathrm{~m} / \mathrm{s}^{2}\) )

1 \(2.5 \mathrm{~N}\)
2 \(4.0 \mathrm{~N}\)
3 \(3.3 \mathrm{~N}\)
4 \(3.0 \mathrm{~N}\)
Laws of Motion

146138 A block of mass \(m\) placed on a rough horizontal plane is pulled by a constant power \(P\). The coefficient of friction between the block and the surface is \(\mu\). The maximum velocity of the block will be

1 \(\frac{\mu \mathrm{P}}{\mathrm{mg}}\)
2 \(\frac{\mu \mathrm{mg}}{\mathrm{p}}\)
3 \(\mu \mathrm{mgP}\)
4 \(\frac{P}{\mu \mathrm{mg}}\)
Laws of Motion

146139 A block of mass \(4 \mathrm{~kg}\) at rest on a rough inclined plane making an angle of \(\theta\) with the horizontal. The coefficient of static friction between the block and plane is 0.5 and the frictional force on the block is \(14.14 \mathrm{~N}\), find the value of \(\theta\) ?

1 \(30^{\circ}\)
2 \(45^{\circ}\)
3 \(60^{\circ}\)
4 \(15^{\circ}\)
Laws of Motion

146136 A force of \(20 \mathrm{~N}\) is applied on a body of mass 5 kg resting on a horizontal plane. The body gains a kinetic energy of \(10 \mathrm{~J}\) after it moves a distance \(2 \mathrm{~m}\). The frictional force is

1 \(10 \mathrm{~N}\)
2 \(15 \mathrm{~N}\)
3 \(20 \mathrm{~N}\)
4 \(30 \mathrm{~N}\)
Laws of Motion

146137 A block of mass \(m=2 \mathrm{~kg}\) is initially at rest on a horizontal surface. A horizontal force \(\overrightarrow{\mathbf{F}}_{1}=(6 \mathrm{~N}) \hat{\mathbf{i}}\) and a vertical force \(\overrightarrow{\mathbf{F}}_{2}=(10 \mathrm{~N}) \hat{\mathbf{j}}\) are then applied to the block. The coefficients of static friction and kinetic friction for the block and the surfaces are 0.4 and 0.25 , respectively. The magnitude of the frictional force acting on the block is (assume, \(g=10 \mathrm{~m} / \mathrm{s}^{2}\) )

1 \(2.5 \mathrm{~N}\)
2 \(4.0 \mathrm{~N}\)
3 \(3.3 \mathrm{~N}\)
4 \(3.0 \mathrm{~N}\)
Laws of Motion

146138 A block of mass \(m\) placed on a rough horizontal plane is pulled by a constant power \(P\). The coefficient of friction between the block and the surface is \(\mu\). The maximum velocity of the block will be

1 \(\frac{\mu \mathrm{P}}{\mathrm{mg}}\)
2 \(\frac{\mu \mathrm{mg}}{\mathrm{p}}\)
3 \(\mu \mathrm{mgP}\)
4 \(\frac{P}{\mu \mathrm{mg}}\)
Laws of Motion

146139 A block of mass \(4 \mathrm{~kg}\) at rest on a rough inclined plane making an angle of \(\theta\) with the horizontal. The coefficient of static friction between the block and plane is 0.5 and the frictional force on the block is \(14.14 \mathrm{~N}\), find the value of \(\theta\) ?

1 \(30^{\circ}\)
2 \(45^{\circ}\)
3 \(60^{\circ}\)
4 \(15^{\circ}\)
Laws of Motion

146136 A force of \(20 \mathrm{~N}\) is applied on a body of mass 5 kg resting on a horizontal plane. The body gains a kinetic energy of \(10 \mathrm{~J}\) after it moves a distance \(2 \mathrm{~m}\). The frictional force is

1 \(10 \mathrm{~N}\)
2 \(15 \mathrm{~N}\)
3 \(20 \mathrm{~N}\)
4 \(30 \mathrm{~N}\)
Laws of Motion

146137 A block of mass \(m=2 \mathrm{~kg}\) is initially at rest on a horizontal surface. A horizontal force \(\overrightarrow{\mathbf{F}}_{1}=(6 \mathrm{~N}) \hat{\mathbf{i}}\) and a vertical force \(\overrightarrow{\mathbf{F}}_{2}=(10 \mathrm{~N}) \hat{\mathbf{j}}\) are then applied to the block. The coefficients of static friction and kinetic friction for the block and the surfaces are 0.4 and 0.25 , respectively. The magnitude of the frictional force acting on the block is (assume, \(g=10 \mathrm{~m} / \mathrm{s}^{2}\) )

1 \(2.5 \mathrm{~N}\)
2 \(4.0 \mathrm{~N}\)
3 \(3.3 \mathrm{~N}\)
4 \(3.0 \mathrm{~N}\)
Laws of Motion

146138 A block of mass \(m\) placed on a rough horizontal plane is pulled by a constant power \(P\). The coefficient of friction between the block and the surface is \(\mu\). The maximum velocity of the block will be

1 \(\frac{\mu \mathrm{P}}{\mathrm{mg}}\)
2 \(\frac{\mu \mathrm{mg}}{\mathrm{p}}\)
3 \(\mu \mathrm{mgP}\)
4 \(\frac{P}{\mu \mathrm{mg}}\)
Laws of Motion

146139 A block of mass \(4 \mathrm{~kg}\) at rest on a rough inclined plane making an angle of \(\theta\) with the horizontal. The coefficient of static friction between the block and plane is 0.5 and the frictional force on the block is \(14.14 \mathrm{~N}\), find the value of \(\theta\) ?

1 \(30^{\circ}\)
2 \(45^{\circ}\)
3 \(60^{\circ}\)
4 \(15^{\circ}\)
Laws of Motion

146136 A force of \(20 \mathrm{~N}\) is applied on a body of mass 5 kg resting on a horizontal plane. The body gains a kinetic energy of \(10 \mathrm{~J}\) after it moves a distance \(2 \mathrm{~m}\). The frictional force is

1 \(10 \mathrm{~N}\)
2 \(15 \mathrm{~N}\)
3 \(20 \mathrm{~N}\)
4 \(30 \mathrm{~N}\)
Laws of Motion

146137 A block of mass \(m=2 \mathrm{~kg}\) is initially at rest on a horizontal surface. A horizontal force \(\overrightarrow{\mathbf{F}}_{1}=(6 \mathrm{~N}) \hat{\mathbf{i}}\) and a vertical force \(\overrightarrow{\mathbf{F}}_{2}=(10 \mathrm{~N}) \hat{\mathbf{j}}\) are then applied to the block. The coefficients of static friction and kinetic friction for the block and the surfaces are 0.4 and 0.25 , respectively. The magnitude of the frictional force acting on the block is (assume, \(g=10 \mathrm{~m} / \mathrm{s}^{2}\) )

1 \(2.5 \mathrm{~N}\)
2 \(4.0 \mathrm{~N}\)
3 \(3.3 \mathrm{~N}\)
4 \(3.0 \mathrm{~N}\)
Laws of Motion

146138 A block of mass \(m\) placed on a rough horizontal plane is pulled by a constant power \(P\). The coefficient of friction between the block and the surface is \(\mu\). The maximum velocity of the block will be

1 \(\frac{\mu \mathrm{P}}{\mathrm{mg}}\)
2 \(\frac{\mu \mathrm{mg}}{\mathrm{p}}\)
3 \(\mu \mathrm{mgP}\)
4 \(\frac{P}{\mu \mathrm{mg}}\)
Laws of Motion

146139 A block of mass \(4 \mathrm{~kg}\) at rest on a rough inclined plane making an angle of \(\theta\) with the horizontal. The coefficient of static friction between the block and plane is 0.5 and the frictional force on the block is \(14.14 \mathrm{~N}\), find the value of \(\theta\) ?

1 \(30^{\circ}\)
2 \(45^{\circ}\)
3 \(60^{\circ}\)
4 \(15^{\circ}\)