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

146108 A circular race track of radius \(240 \mathrm{~m}\) is banked at an angle of \(45^{\circ}\). If the coefficient of friction between the wheels of a race car and the rod is 0.2 , the maximum permissible speed to avoid slipping is
[Acceleration due to gravity \(=10 \mathrm{~m} / \mathrm{s}^{2}\) ]

1 \(40 \mathrm{~m} \mathrm{~s}^{-1}\)
2 \(60 \mathrm{~m} \mathrm{~s}^{-1}\)
3 \(72 \mathrm{~m} \mathrm{~s}^{-1}\)
4 \(50 \mathrm{~m} \mathrm{~s}^{-1}\)
Laws of Motion

146110 A bag is gently dropped on a conveyor belt moving at a speed of \(2 \mathrm{~m} / \mathrm{s}\). The coefficient of friction between the conveyor belt and bag is 0.4. Initially, the bag slips on the belt before it stops due to friction. The distance travelled by the bag on the belt during slipping motion is: [Take \(\mathbf{g}=10 \mathrm{~ms}^{-2}\) ]

1 \(2 \mathrm{~m}\)
2 \(0.5 \mathrm{~m}\)
3 \(3.2 \mathrm{~m}\)
4 \(0.8 \mathrm{~m}\)
Laws of Motion

146111 A system of two blocks of masses \(m=2 \mathrm{~kg}\) and \(M=8 \mathrm{~kg}\) is placed on a smooth table as shown in figure. The coefficient of static friction between two blocks is 0.5 . The maximum horizontal force \(F\) that can be applied to the block of mass \(M\) so that the blocks move together will be

1 \(9.8 \mathrm{~N}\)
2 \(39.2 \mathrm{~N}\)
3 \(49 \mathrm{~N}\)
4 \(78.4 \mathrm{~N}\)
Laws of Motion

146112 A block of mass \(10 \mathrm{~kg}\) starts sliding on a surface with an initial velocity of \(9.8 \mathrm{~ms}^{-1}\). The coefficient of friction between the surface and block is 0.5 . The distance covered by the block before coming to rest is:
[use \(\mathrm{g}=9.8 \mathrm{~ms}^{-2}\) ]

1 \(4.9 \mathrm{~m}\)
2 \(9.8 \mathrm{~m}\)
3 \(12.5 \mathrm{~m}\)
4 \(19.6 \mathrm{~m}\)
Laws of Motion

146113 A \(30 \mathrm{~kg}\) slab \(B\) rests on a frictionless floor as shown in the figure. A \(10 \mathrm{~kg}\) block \(A\) rests on top of the slab-B The coefficients of static and kinetic friction between the block \(A\) and the slab \(B\) are 0.60 and 0.40 respectively. When block - \(A\) is acted upon by a horizontal force of \(100 \mathrm{~N}\), as shown, find the resulting acceleration of the slab- \(B\left(g=9.8 \mathrm{~m} . \mathrm{s}^{-2}\right)\)

1 \(0.98 \mathrm{~m} \cdot \mathrm{s}^{-2}\)
2 \(1.47 \mathrm{~m} . \mathrm{s}^{-2}\)
3 \(1.52 \mathrm{~m} . \mathrm{s}^{-2}\)
4 \(1.31 \mathrm{~m} \cdot \mathrm{s}^{-2}\)
Laws of Motion

146108 A circular race track of radius \(240 \mathrm{~m}\) is banked at an angle of \(45^{\circ}\). If the coefficient of friction between the wheels of a race car and the rod is 0.2 , the maximum permissible speed to avoid slipping is
[Acceleration due to gravity \(=10 \mathrm{~m} / \mathrm{s}^{2}\) ]

1 \(40 \mathrm{~m} \mathrm{~s}^{-1}\)
2 \(60 \mathrm{~m} \mathrm{~s}^{-1}\)
3 \(72 \mathrm{~m} \mathrm{~s}^{-1}\)
4 \(50 \mathrm{~m} \mathrm{~s}^{-1}\)
Laws of Motion

146110 A bag is gently dropped on a conveyor belt moving at a speed of \(2 \mathrm{~m} / \mathrm{s}\). The coefficient of friction between the conveyor belt and bag is 0.4. Initially, the bag slips on the belt before it stops due to friction. The distance travelled by the bag on the belt during slipping motion is: [Take \(\mathbf{g}=10 \mathrm{~ms}^{-2}\) ]

1 \(2 \mathrm{~m}\)
2 \(0.5 \mathrm{~m}\)
3 \(3.2 \mathrm{~m}\)
4 \(0.8 \mathrm{~m}\)
Laws of Motion

146111 A system of two blocks of masses \(m=2 \mathrm{~kg}\) and \(M=8 \mathrm{~kg}\) is placed on a smooth table as shown in figure. The coefficient of static friction between two blocks is 0.5 . The maximum horizontal force \(F\) that can be applied to the block of mass \(M\) so that the blocks move together will be

1 \(9.8 \mathrm{~N}\)
2 \(39.2 \mathrm{~N}\)
3 \(49 \mathrm{~N}\)
4 \(78.4 \mathrm{~N}\)
Laws of Motion

146112 A block of mass \(10 \mathrm{~kg}\) starts sliding on a surface with an initial velocity of \(9.8 \mathrm{~ms}^{-1}\). The coefficient of friction between the surface and block is 0.5 . The distance covered by the block before coming to rest is:
[use \(\mathrm{g}=9.8 \mathrm{~ms}^{-2}\) ]

1 \(4.9 \mathrm{~m}\)
2 \(9.8 \mathrm{~m}\)
3 \(12.5 \mathrm{~m}\)
4 \(19.6 \mathrm{~m}\)
Laws of Motion

146113 A \(30 \mathrm{~kg}\) slab \(B\) rests on a frictionless floor as shown in the figure. A \(10 \mathrm{~kg}\) block \(A\) rests on top of the slab-B The coefficients of static and kinetic friction between the block \(A\) and the slab \(B\) are 0.60 and 0.40 respectively. When block - \(A\) is acted upon by a horizontal force of \(100 \mathrm{~N}\), as shown, find the resulting acceleration of the slab- \(B\left(g=9.8 \mathrm{~m} . \mathrm{s}^{-2}\right)\)

1 \(0.98 \mathrm{~m} \cdot \mathrm{s}^{-2}\)
2 \(1.47 \mathrm{~m} . \mathrm{s}^{-2}\)
3 \(1.52 \mathrm{~m} . \mathrm{s}^{-2}\)
4 \(1.31 \mathrm{~m} \cdot \mathrm{s}^{-2}\)
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Laws of Motion

146108 A circular race track of radius \(240 \mathrm{~m}\) is banked at an angle of \(45^{\circ}\). If the coefficient of friction between the wheels of a race car and the rod is 0.2 , the maximum permissible speed to avoid slipping is
[Acceleration due to gravity \(=10 \mathrm{~m} / \mathrm{s}^{2}\) ]

1 \(40 \mathrm{~m} \mathrm{~s}^{-1}\)
2 \(60 \mathrm{~m} \mathrm{~s}^{-1}\)
3 \(72 \mathrm{~m} \mathrm{~s}^{-1}\)
4 \(50 \mathrm{~m} \mathrm{~s}^{-1}\)
Laws of Motion

146110 A bag is gently dropped on a conveyor belt moving at a speed of \(2 \mathrm{~m} / \mathrm{s}\). The coefficient of friction between the conveyor belt and bag is 0.4. Initially, the bag slips on the belt before it stops due to friction. The distance travelled by the bag on the belt during slipping motion is: [Take \(\mathbf{g}=10 \mathrm{~ms}^{-2}\) ]

1 \(2 \mathrm{~m}\)
2 \(0.5 \mathrm{~m}\)
3 \(3.2 \mathrm{~m}\)
4 \(0.8 \mathrm{~m}\)
Laws of Motion

146111 A system of two blocks of masses \(m=2 \mathrm{~kg}\) and \(M=8 \mathrm{~kg}\) is placed on a smooth table as shown in figure. The coefficient of static friction between two blocks is 0.5 . The maximum horizontal force \(F\) that can be applied to the block of mass \(M\) so that the blocks move together will be

1 \(9.8 \mathrm{~N}\)
2 \(39.2 \mathrm{~N}\)
3 \(49 \mathrm{~N}\)
4 \(78.4 \mathrm{~N}\)
Laws of Motion

146112 A block of mass \(10 \mathrm{~kg}\) starts sliding on a surface with an initial velocity of \(9.8 \mathrm{~ms}^{-1}\). The coefficient of friction between the surface and block is 0.5 . The distance covered by the block before coming to rest is:
[use \(\mathrm{g}=9.8 \mathrm{~ms}^{-2}\) ]

1 \(4.9 \mathrm{~m}\)
2 \(9.8 \mathrm{~m}\)
3 \(12.5 \mathrm{~m}\)
4 \(19.6 \mathrm{~m}\)
Laws of Motion

146113 A \(30 \mathrm{~kg}\) slab \(B\) rests on a frictionless floor as shown in the figure. A \(10 \mathrm{~kg}\) block \(A\) rests on top of the slab-B The coefficients of static and kinetic friction between the block \(A\) and the slab \(B\) are 0.60 and 0.40 respectively. When block - \(A\) is acted upon by a horizontal force of \(100 \mathrm{~N}\), as shown, find the resulting acceleration of the slab- \(B\left(g=9.8 \mathrm{~m} . \mathrm{s}^{-2}\right)\)

1 \(0.98 \mathrm{~m} \cdot \mathrm{s}^{-2}\)
2 \(1.47 \mathrm{~m} . \mathrm{s}^{-2}\)
3 \(1.52 \mathrm{~m} . \mathrm{s}^{-2}\)
4 \(1.31 \mathrm{~m} \cdot \mathrm{s}^{-2}\)
Laws of Motion

146108 A circular race track of radius \(240 \mathrm{~m}\) is banked at an angle of \(45^{\circ}\). If the coefficient of friction between the wheels of a race car and the rod is 0.2 , the maximum permissible speed to avoid slipping is
[Acceleration due to gravity \(=10 \mathrm{~m} / \mathrm{s}^{2}\) ]

1 \(40 \mathrm{~m} \mathrm{~s}^{-1}\)
2 \(60 \mathrm{~m} \mathrm{~s}^{-1}\)
3 \(72 \mathrm{~m} \mathrm{~s}^{-1}\)
4 \(50 \mathrm{~m} \mathrm{~s}^{-1}\)
Laws of Motion

146110 A bag is gently dropped on a conveyor belt moving at a speed of \(2 \mathrm{~m} / \mathrm{s}\). The coefficient of friction between the conveyor belt and bag is 0.4. Initially, the bag slips on the belt before it stops due to friction. The distance travelled by the bag on the belt during slipping motion is: [Take \(\mathbf{g}=10 \mathrm{~ms}^{-2}\) ]

1 \(2 \mathrm{~m}\)
2 \(0.5 \mathrm{~m}\)
3 \(3.2 \mathrm{~m}\)
4 \(0.8 \mathrm{~m}\)
Laws of Motion

146111 A system of two blocks of masses \(m=2 \mathrm{~kg}\) and \(M=8 \mathrm{~kg}\) is placed on a smooth table as shown in figure. The coefficient of static friction between two blocks is 0.5 . The maximum horizontal force \(F\) that can be applied to the block of mass \(M\) so that the blocks move together will be

1 \(9.8 \mathrm{~N}\)
2 \(39.2 \mathrm{~N}\)
3 \(49 \mathrm{~N}\)
4 \(78.4 \mathrm{~N}\)
Laws of Motion

146112 A block of mass \(10 \mathrm{~kg}\) starts sliding on a surface with an initial velocity of \(9.8 \mathrm{~ms}^{-1}\). The coefficient of friction between the surface and block is 0.5 . The distance covered by the block before coming to rest is:
[use \(\mathrm{g}=9.8 \mathrm{~ms}^{-2}\) ]

1 \(4.9 \mathrm{~m}\)
2 \(9.8 \mathrm{~m}\)
3 \(12.5 \mathrm{~m}\)
4 \(19.6 \mathrm{~m}\)
Laws of Motion

146113 A \(30 \mathrm{~kg}\) slab \(B\) rests on a frictionless floor as shown in the figure. A \(10 \mathrm{~kg}\) block \(A\) rests on top of the slab-B The coefficients of static and kinetic friction between the block \(A\) and the slab \(B\) are 0.60 and 0.40 respectively. When block - \(A\) is acted upon by a horizontal force of \(100 \mathrm{~N}\), as shown, find the resulting acceleration of the slab- \(B\left(g=9.8 \mathrm{~m} . \mathrm{s}^{-2}\right)\)

1 \(0.98 \mathrm{~m} \cdot \mathrm{s}^{-2}\)
2 \(1.47 \mathrm{~m} . \mathrm{s}^{-2}\)
3 \(1.52 \mathrm{~m} . \mathrm{s}^{-2}\)
4 \(1.31 \mathrm{~m} \cdot \mathrm{s}^{-2}\)
Laws of Motion

146108 A circular race track of radius \(240 \mathrm{~m}\) is banked at an angle of \(45^{\circ}\). If the coefficient of friction between the wheels of a race car and the rod is 0.2 , the maximum permissible speed to avoid slipping is
[Acceleration due to gravity \(=10 \mathrm{~m} / \mathrm{s}^{2}\) ]

1 \(40 \mathrm{~m} \mathrm{~s}^{-1}\)
2 \(60 \mathrm{~m} \mathrm{~s}^{-1}\)
3 \(72 \mathrm{~m} \mathrm{~s}^{-1}\)
4 \(50 \mathrm{~m} \mathrm{~s}^{-1}\)
Laws of Motion

146110 A bag is gently dropped on a conveyor belt moving at a speed of \(2 \mathrm{~m} / \mathrm{s}\). The coefficient of friction between the conveyor belt and bag is 0.4. Initially, the bag slips on the belt before it stops due to friction. The distance travelled by the bag on the belt during slipping motion is: [Take \(\mathbf{g}=10 \mathrm{~ms}^{-2}\) ]

1 \(2 \mathrm{~m}\)
2 \(0.5 \mathrm{~m}\)
3 \(3.2 \mathrm{~m}\)
4 \(0.8 \mathrm{~m}\)
Laws of Motion

146111 A system of two blocks of masses \(m=2 \mathrm{~kg}\) and \(M=8 \mathrm{~kg}\) is placed on a smooth table as shown in figure. The coefficient of static friction between two blocks is 0.5 . The maximum horizontal force \(F\) that can be applied to the block of mass \(M\) so that the blocks move together will be

1 \(9.8 \mathrm{~N}\)
2 \(39.2 \mathrm{~N}\)
3 \(49 \mathrm{~N}\)
4 \(78.4 \mathrm{~N}\)
Laws of Motion

146112 A block of mass \(10 \mathrm{~kg}\) starts sliding on a surface with an initial velocity of \(9.8 \mathrm{~ms}^{-1}\). The coefficient of friction between the surface and block is 0.5 . The distance covered by the block before coming to rest is:
[use \(\mathrm{g}=9.8 \mathrm{~ms}^{-2}\) ]

1 \(4.9 \mathrm{~m}\)
2 \(9.8 \mathrm{~m}\)
3 \(12.5 \mathrm{~m}\)
4 \(19.6 \mathrm{~m}\)
Laws of Motion

146113 A \(30 \mathrm{~kg}\) slab \(B\) rests on a frictionless floor as shown in the figure. A \(10 \mathrm{~kg}\) block \(A\) rests on top of the slab-B The coefficients of static and kinetic friction between the block \(A\) and the slab \(B\) are 0.60 and 0.40 respectively. When block - \(A\) is acted upon by a horizontal force of \(100 \mathrm{~N}\), as shown, find the resulting acceleration of the slab- \(B\left(g=9.8 \mathrm{~m} . \mathrm{s}^{-2}\right)\)

1 \(0.98 \mathrm{~m} \cdot \mathrm{s}^{-2}\)
2 \(1.47 \mathrm{~m} . \mathrm{s}^{-2}\)
3 \(1.52 \mathrm{~m} . \mathrm{s}^{-2}\)
4 \(1.31 \mathrm{~m} \cdot \mathrm{s}^{-2}\)