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

371961 A block is lying at rest inside a bus. The maximum acceleration of the bus such that the block remain stationary (the static friction coefficient \(=0.2\), acceleration due to gravity \(=\) \(10 \mathrm{~ms}^{-2}\) )

1 \(1 \mathrm{~ms}^{-2}\)
2 \(0.5 \mathrm{~ms}^{-2}\)
3 \(2 \mathrm{~cm} \mathrm{~s}^{-2}\)
4 \(2 \mathrm{~ms}^{-2}\)
LAWS OF MOTION (ADDITIONAL)

371962 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 (ADDITIONAL)

371963 Which is true for rolling friction \(\left(\mu_{\mathrm{r}}\right)\), static friction \(\left(\mu_{\mathrm{s}}\right)\) and kinetic friction \(\left(\mu_{\mathrm{k}}\right)\) :

1 \(\mu_{\mathrm{s}}>\mu_{\mathrm{k}}>\mu_{\mathrm{r}}\)
2 \(\mu_{\mathrm{s}} \lt \mu_{\mathrm{k}} \lt \mu_{\mathrm{r}}\)
3 \(\mu_{\mathrm{s}} \lt \mu_{\mathrm{k}} \lt \mu_{\mathrm{r}}\)
4 \(\mu_{\mathrm{s}}>\mu_{\mathrm{r}} \lt \mu_{\mathrm{k}}\)
LAWS OF MOTION (ADDITIONAL)

371964 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 (ADDITIONAL)

371965 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 (ADDITIONAL)

371961 A block is lying at rest inside a bus. The maximum acceleration of the bus such that the block remain stationary (the static friction coefficient \(=0.2\), acceleration due to gravity \(=\) \(10 \mathrm{~ms}^{-2}\) )

1 \(1 \mathrm{~ms}^{-2}\)
2 \(0.5 \mathrm{~ms}^{-2}\)
3 \(2 \mathrm{~cm} \mathrm{~s}^{-2}\)
4 \(2 \mathrm{~ms}^{-2}\)
LAWS OF MOTION (ADDITIONAL)

371962 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 (ADDITIONAL)

371963 Which is true for rolling friction \(\left(\mu_{\mathrm{r}}\right)\), static friction \(\left(\mu_{\mathrm{s}}\right)\) and kinetic friction \(\left(\mu_{\mathrm{k}}\right)\) :

1 \(\mu_{\mathrm{s}}>\mu_{\mathrm{k}}>\mu_{\mathrm{r}}\)
2 \(\mu_{\mathrm{s}} \lt \mu_{\mathrm{k}} \lt \mu_{\mathrm{r}}\)
3 \(\mu_{\mathrm{s}} \lt \mu_{\mathrm{k}} \lt \mu_{\mathrm{r}}\)
4 \(\mu_{\mathrm{s}}>\mu_{\mathrm{r}} \lt \mu_{\mathrm{k}}\)
LAWS OF MOTION (ADDITIONAL)

371964 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 (ADDITIONAL)

371965 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 (ADDITIONAL)

371961 A block is lying at rest inside a bus. The maximum acceleration of the bus such that the block remain stationary (the static friction coefficient \(=0.2\), acceleration due to gravity \(=\) \(10 \mathrm{~ms}^{-2}\) )

1 \(1 \mathrm{~ms}^{-2}\)
2 \(0.5 \mathrm{~ms}^{-2}\)
3 \(2 \mathrm{~cm} \mathrm{~s}^{-2}\)
4 \(2 \mathrm{~ms}^{-2}\)
LAWS OF MOTION (ADDITIONAL)

371962 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 (ADDITIONAL)

371963 Which is true for rolling friction \(\left(\mu_{\mathrm{r}}\right)\), static friction \(\left(\mu_{\mathrm{s}}\right)\) and kinetic friction \(\left(\mu_{\mathrm{k}}\right)\) :

1 \(\mu_{\mathrm{s}}>\mu_{\mathrm{k}}>\mu_{\mathrm{r}}\)
2 \(\mu_{\mathrm{s}} \lt \mu_{\mathrm{k}} \lt \mu_{\mathrm{r}}\)
3 \(\mu_{\mathrm{s}} \lt \mu_{\mathrm{k}} \lt \mu_{\mathrm{r}}\)
4 \(\mu_{\mathrm{s}}>\mu_{\mathrm{r}} \lt \mu_{\mathrm{k}}\)
LAWS OF MOTION (ADDITIONAL)

371964 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 (ADDITIONAL)

371965 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 (ADDITIONAL)

371961 A block is lying at rest inside a bus. The maximum acceleration of the bus such that the block remain stationary (the static friction coefficient \(=0.2\), acceleration due to gravity \(=\) \(10 \mathrm{~ms}^{-2}\) )

1 \(1 \mathrm{~ms}^{-2}\)
2 \(0.5 \mathrm{~ms}^{-2}\)
3 \(2 \mathrm{~cm} \mathrm{~s}^{-2}\)
4 \(2 \mathrm{~ms}^{-2}\)
LAWS OF MOTION (ADDITIONAL)

371962 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 (ADDITIONAL)

371963 Which is true for rolling friction \(\left(\mu_{\mathrm{r}}\right)\), static friction \(\left(\mu_{\mathrm{s}}\right)\) and kinetic friction \(\left(\mu_{\mathrm{k}}\right)\) :

1 \(\mu_{\mathrm{s}}>\mu_{\mathrm{k}}>\mu_{\mathrm{r}}\)
2 \(\mu_{\mathrm{s}} \lt \mu_{\mathrm{k}} \lt \mu_{\mathrm{r}}\)
3 \(\mu_{\mathrm{s}} \lt \mu_{\mathrm{k}} \lt \mu_{\mathrm{r}}\)
4 \(\mu_{\mathrm{s}}>\mu_{\mathrm{r}} \lt \mu_{\mathrm{k}}\)
LAWS OF MOTION (ADDITIONAL)

371964 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 (ADDITIONAL)

371965 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 (ADDITIONAL)

371961 A block is lying at rest inside a bus. The maximum acceleration of the bus such that the block remain stationary (the static friction coefficient \(=0.2\), acceleration due to gravity \(=\) \(10 \mathrm{~ms}^{-2}\) )

1 \(1 \mathrm{~ms}^{-2}\)
2 \(0.5 \mathrm{~ms}^{-2}\)
3 \(2 \mathrm{~cm} \mathrm{~s}^{-2}\)
4 \(2 \mathrm{~ms}^{-2}\)
LAWS OF MOTION (ADDITIONAL)

371962 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 (ADDITIONAL)

371963 Which is true for rolling friction \(\left(\mu_{\mathrm{r}}\right)\), static friction \(\left(\mu_{\mathrm{s}}\right)\) and kinetic friction \(\left(\mu_{\mathrm{k}}\right)\) :

1 \(\mu_{\mathrm{s}}>\mu_{\mathrm{k}}>\mu_{\mathrm{r}}\)
2 \(\mu_{\mathrm{s}} \lt \mu_{\mathrm{k}} \lt \mu_{\mathrm{r}}\)
3 \(\mu_{\mathrm{s}} \lt \mu_{\mathrm{k}} \lt \mu_{\mathrm{r}}\)
4 \(\mu_{\mathrm{s}}>\mu_{\mathrm{r}} \lt \mu_{\mathrm{k}}\)
LAWS OF MOTION (ADDITIONAL)

371964 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 (ADDITIONAL)

371965 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 \(78.4 \mathrm{~N}\)