Friction, and Inclined Plane Friction Motion
LAWS OF MOTION (ADDITIONAL)

372180 The minimum force required to move a body up an inclined plane of inclination \(30^{\circ}\), is found to be thrice the minimum force required to prevent it from sliding down the plane. The coefficient of friction between the body and the plane is:

1 \(\frac{1}{\sqrt{3}}\)
2 \(\frac{1}{2 \sqrt{3}}\)
3 \(\frac{1}{3 \sqrt{3}}\)
4 \(\frac{1}{4 \sqrt{3}}\)
LAWS OF MOTION (ADDITIONAL)

372181 A cannon of mass \(1000 \mathrm{~kg}\), located at the base of an inclined plane fires a shell of mass \(100 \mathrm{~kg}\) in a horizontal direction with a velocity \(180 \mathrm{~km} / \mathrm{h}\). The angle of inclination of the inclined plane with the horizontal is \(45^{\circ}\). The coefficient of friction between the cannon and the inclined plane is 0.5 . The height, in meter, to which the cannon ascends the inclined plane as a result of the recoil is:
\(\left(\mathrm{g}=10 \mathrm{~m} / \mathrm{s}^{2}\right)\)

1 \(\frac{7}{6}\)
2 \(\frac{5}{9}\)
3 \(\frac{2}{6}\)
4 \(\frac{1}{6}\)
LAWS OF MOTION (ADDITIONAL)

372182 A horizontal force, just sufficient to move a body of mass \(4 \mathrm{~kg}\) lying on a rough horizontal surface is applied on it. The coefficients of static and kinetic friction between the body and the surface are 0.8 and 0.6 respectively. If the force continues to act even after the block has started moving, the acceleration of the block is \(\left(\mathrm{g}=10 \mathrm{~m} / \mathrm{s}^{2}\right)\)

1 \(\frac{1}{4}\)
2 \(\frac{1}{2}\)
3 2
4 4
LAWS OF MOTION (ADDITIONAL)

372183 A body moves along a circular path of radius 5 m. The coefficient of friction between the surface of the path and body is 0.5 . The angular velocity in \(\mathrm{rad} / \mathrm{s}\) with which the body should move so that it does not leave the path is \(\left(g=10 \mathrm{~m} / \mathrm{s}^{2}\right)\)

1 4
2 3
3 2
4 1
LAWS OF MOTION (ADDITIONAL)

372180 The minimum force required to move a body up an inclined plane of inclination \(30^{\circ}\), is found to be thrice the minimum force required to prevent it from sliding down the plane. The coefficient of friction between the body and the plane is:

1 \(\frac{1}{\sqrt{3}}\)
2 \(\frac{1}{2 \sqrt{3}}\)
3 \(\frac{1}{3 \sqrt{3}}\)
4 \(\frac{1}{4 \sqrt{3}}\)
LAWS OF MOTION (ADDITIONAL)

372181 A cannon of mass \(1000 \mathrm{~kg}\), located at the base of an inclined plane fires a shell of mass \(100 \mathrm{~kg}\) in a horizontal direction with a velocity \(180 \mathrm{~km} / \mathrm{h}\). The angle of inclination of the inclined plane with the horizontal is \(45^{\circ}\). The coefficient of friction between the cannon and the inclined plane is 0.5 . The height, in meter, to which the cannon ascends the inclined plane as a result of the recoil is:
\(\left(\mathrm{g}=10 \mathrm{~m} / \mathrm{s}^{2}\right)\)

1 \(\frac{7}{6}\)
2 \(\frac{5}{9}\)
3 \(\frac{2}{6}\)
4 \(\frac{1}{6}\)
LAWS OF MOTION (ADDITIONAL)

372182 A horizontal force, just sufficient to move a body of mass \(4 \mathrm{~kg}\) lying on a rough horizontal surface is applied on it. The coefficients of static and kinetic friction between the body and the surface are 0.8 and 0.6 respectively. If the force continues to act even after the block has started moving, the acceleration of the block is \(\left(\mathrm{g}=10 \mathrm{~m} / \mathrm{s}^{2}\right)\)

1 \(\frac{1}{4}\)
2 \(\frac{1}{2}\)
3 2
4 4
LAWS OF MOTION (ADDITIONAL)

372183 A body moves along a circular path of radius 5 m. The coefficient of friction between the surface of the path and body is 0.5 . The angular velocity in \(\mathrm{rad} / \mathrm{s}\) with which the body should move so that it does not leave the path is \(\left(g=10 \mathrm{~m} / \mathrm{s}^{2}\right)\)

1 4
2 3
3 2
4 1
LAWS OF MOTION (ADDITIONAL)

372180 The minimum force required to move a body up an inclined plane of inclination \(30^{\circ}\), is found to be thrice the minimum force required to prevent it from sliding down the plane. The coefficient of friction between the body and the plane is:

1 \(\frac{1}{\sqrt{3}}\)
2 \(\frac{1}{2 \sqrt{3}}\)
3 \(\frac{1}{3 \sqrt{3}}\)
4 \(\frac{1}{4 \sqrt{3}}\)
LAWS OF MOTION (ADDITIONAL)

372181 A cannon of mass \(1000 \mathrm{~kg}\), located at the base of an inclined plane fires a shell of mass \(100 \mathrm{~kg}\) in a horizontal direction with a velocity \(180 \mathrm{~km} / \mathrm{h}\). The angle of inclination of the inclined plane with the horizontal is \(45^{\circ}\). The coefficient of friction between the cannon and the inclined plane is 0.5 . The height, in meter, to which the cannon ascends the inclined plane as a result of the recoil is:
\(\left(\mathrm{g}=10 \mathrm{~m} / \mathrm{s}^{2}\right)\)

1 \(\frac{7}{6}\)
2 \(\frac{5}{9}\)
3 \(\frac{2}{6}\)
4 \(\frac{1}{6}\)
LAWS OF MOTION (ADDITIONAL)

372182 A horizontal force, just sufficient to move a body of mass \(4 \mathrm{~kg}\) lying on a rough horizontal surface is applied on it. The coefficients of static and kinetic friction between the body and the surface are 0.8 and 0.6 respectively. If the force continues to act even after the block has started moving, the acceleration of the block is \(\left(\mathrm{g}=10 \mathrm{~m} / \mathrm{s}^{2}\right)\)

1 \(\frac{1}{4}\)
2 \(\frac{1}{2}\)
3 2
4 4
LAWS OF MOTION (ADDITIONAL)

372183 A body moves along a circular path of radius 5 m. The coefficient of friction between the surface of the path and body is 0.5 . The angular velocity in \(\mathrm{rad} / \mathrm{s}\) with which the body should move so that it does not leave the path is \(\left(g=10 \mathrm{~m} / \mathrm{s}^{2}\right)\)

1 4
2 3
3 2
4 1
LAWS OF MOTION (ADDITIONAL)

372180 The minimum force required to move a body up an inclined plane of inclination \(30^{\circ}\), is found to be thrice the minimum force required to prevent it from sliding down the plane. The coefficient of friction between the body and the plane is:

1 \(\frac{1}{\sqrt{3}}\)
2 \(\frac{1}{2 \sqrt{3}}\)
3 \(\frac{1}{3 \sqrt{3}}\)
4 \(\frac{1}{4 \sqrt{3}}\)
LAWS OF MOTION (ADDITIONAL)

372181 A cannon of mass \(1000 \mathrm{~kg}\), located at the base of an inclined plane fires a shell of mass \(100 \mathrm{~kg}\) in a horizontal direction with a velocity \(180 \mathrm{~km} / \mathrm{h}\). The angle of inclination of the inclined plane with the horizontal is \(45^{\circ}\). The coefficient of friction between the cannon and the inclined plane is 0.5 . The height, in meter, to which the cannon ascends the inclined plane as a result of the recoil is:
\(\left(\mathrm{g}=10 \mathrm{~m} / \mathrm{s}^{2}\right)\)

1 \(\frac{7}{6}\)
2 \(\frac{5}{9}\)
3 \(\frac{2}{6}\)
4 \(\frac{1}{6}\)
LAWS OF MOTION (ADDITIONAL)

372182 A horizontal force, just sufficient to move a body of mass \(4 \mathrm{~kg}\) lying on a rough horizontal surface is applied on it. The coefficients of static and kinetic friction between the body and the surface are 0.8 and 0.6 respectively. If the force continues to act even after the block has started moving, the acceleration of the block is \(\left(\mathrm{g}=10 \mathrm{~m} / \mathrm{s}^{2}\right)\)

1 \(\frac{1}{4}\)
2 \(\frac{1}{2}\)
3 2
4 4
LAWS OF MOTION (ADDITIONAL)

372183 A body moves along a circular path of radius 5 m. The coefficient of friction between the surface of the path and body is 0.5 . The angular velocity in \(\mathrm{rad} / \mathrm{s}\) with which the body should move so that it does not leave the path is \(\left(g=10 \mathrm{~m} / \mathrm{s}^{2}\right)\)

1 4
2 3
3 2
4 1