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

146196 The retarding acceleration of \(7.35 \mathrm{~ms}^{-2}\) due to frictional force stops the car of mass \(400 \mathrm{~kg}\) travelling on a road. The coefficient of friction between the tyre of the car and the road is

1 0.55
2 0.75
3 0.70
4 0.65
Laws of Motion

146197 A wooden box of mass \(8 \mathrm{~kg}\) slides down an inclined plane of inclination \(30^{\circ}\) to the horizontal with a constant acceleration of 0.4 \(\mathrm{m} \mathrm{s}^{-2}\). What is the force of friction between the box and inclined plane? \(\left[\mathbf{g}=\mathbf{1 0} \mathbf{~ m ~ s}^{-2}\right]\)

1 \(36.8 \mathrm{~N}\)
2 \(76.8 \mathrm{~N}\)
3 \(65.6 \mathrm{~N}\)
4 \(97.8 \mathrm{~N}\)
Laws of Motion

146198 Block A of weight \(100 \mathrm{~kg}\) rests on a block \(B\) and is tied with horizontal string to the wall at C. Block B is of \(200 \mathrm{~kg}\). The coefficient of friction between \(A\) and \(B\) is 0.25 and that between \(B\) and surface is \(\frac{1}{3}\). The horizontal force \(F\) necessary to move the block \(B\) should be \(\left(g=10 \mathrm{~m} / \mathrm{s}^{2}\right)\)

1 \(1050 \mathrm{~N}\)
2 \(1450 \mathrm{~N}\)
3 \(1050 \mathrm{~N}\)
4 \(1250 \mathrm{~N}\)
Laws of Motion

146199 A curved road of diameter \(1.8 \mathrm{~km}\) is banked, so that no friction is required at a speed to \(30 \mathrm{~m} / \mathrm{s}\). What is the banking angle?

1 \(6^{\circ}\)
2 \(16^{\circ}\)
3 \(26^{\circ}\)
4 \(0.6^{\circ}\)
Laws of Motion

146200 A time varying horizontal force (in Newton) \(F\) \(=8|\sin (4 \pi \mathrm{t})|\) is acting on a stationary block of mass \(2 \mathrm{~kg}\) as shown. Friction coefficient between the block and ground is \(\mu=0.5\) and \(g\) \(=10 \mathrm{~m} / \mathrm{s}^{2}\). Then resulting motion of the block will be
\(2 \mathrm{~kg} \rightarrow \mathrm{F}\)

1 It will oscillate
2 It remains stationary
3 It moves towards left
4 It moves towards right
Laws of Motion

146196 The retarding acceleration of \(7.35 \mathrm{~ms}^{-2}\) due to frictional force stops the car of mass \(400 \mathrm{~kg}\) travelling on a road. The coefficient of friction between the tyre of the car and the road is

1 0.55
2 0.75
3 0.70
4 0.65
Laws of Motion

146197 A wooden box of mass \(8 \mathrm{~kg}\) slides down an inclined plane of inclination \(30^{\circ}\) to the horizontal with a constant acceleration of 0.4 \(\mathrm{m} \mathrm{s}^{-2}\). What is the force of friction between the box and inclined plane? \(\left[\mathbf{g}=\mathbf{1 0} \mathbf{~ m ~ s}^{-2}\right]\)

1 \(36.8 \mathrm{~N}\)
2 \(76.8 \mathrm{~N}\)
3 \(65.6 \mathrm{~N}\)
4 \(97.8 \mathrm{~N}\)
Laws of Motion

146198 Block A of weight \(100 \mathrm{~kg}\) rests on a block \(B\) and is tied with horizontal string to the wall at C. Block B is of \(200 \mathrm{~kg}\). The coefficient of friction between \(A\) and \(B\) is 0.25 and that between \(B\) and surface is \(\frac{1}{3}\). The horizontal force \(F\) necessary to move the block \(B\) should be \(\left(g=10 \mathrm{~m} / \mathrm{s}^{2}\right)\)

1 \(1050 \mathrm{~N}\)
2 \(1450 \mathrm{~N}\)
3 \(1050 \mathrm{~N}\)
4 \(1250 \mathrm{~N}\)
Laws of Motion

146199 A curved road of diameter \(1.8 \mathrm{~km}\) is banked, so that no friction is required at a speed to \(30 \mathrm{~m} / \mathrm{s}\). What is the banking angle?

1 \(6^{\circ}\)
2 \(16^{\circ}\)
3 \(26^{\circ}\)
4 \(0.6^{\circ}\)
Laws of Motion

146200 A time varying horizontal force (in Newton) \(F\) \(=8|\sin (4 \pi \mathrm{t})|\) is acting on a stationary block of mass \(2 \mathrm{~kg}\) as shown. Friction coefficient between the block and ground is \(\mu=0.5\) and \(g\) \(=10 \mathrm{~m} / \mathrm{s}^{2}\). Then resulting motion of the block will be
\(2 \mathrm{~kg} \rightarrow \mathrm{F}\)

1 It will oscillate
2 It remains stationary
3 It moves towards left
4 It moves towards right
Laws of Motion

146196 The retarding acceleration of \(7.35 \mathrm{~ms}^{-2}\) due to frictional force stops the car of mass \(400 \mathrm{~kg}\) travelling on a road. The coefficient of friction between the tyre of the car and the road is

1 0.55
2 0.75
3 0.70
4 0.65
Laws of Motion

146197 A wooden box of mass \(8 \mathrm{~kg}\) slides down an inclined plane of inclination \(30^{\circ}\) to the horizontal with a constant acceleration of 0.4 \(\mathrm{m} \mathrm{s}^{-2}\). What is the force of friction between the box and inclined plane? \(\left[\mathbf{g}=\mathbf{1 0} \mathbf{~ m ~ s}^{-2}\right]\)

1 \(36.8 \mathrm{~N}\)
2 \(76.8 \mathrm{~N}\)
3 \(65.6 \mathrm{~N}\)
4 \(97.8 \mathrm{~N}\)
Laws of Motion

146198 Block A of weight \(100 \mathrm{~kg}\) rests on a block \(B\) and is tied with horizontal string to the wall at C. Block B is of \(200 \mathrm{~kg}\). The coefficient of friction between \(A\) and \(B\) is 0.25 and that between \(B\) and surface is \(\frac{1}{3}\). The horizontal force \(F\) necessary to move the block \(B\) should be \(\left(g=10 \mathrm{~m} / \mathrm{s}^{2}\right)\)

1 \(1050 \mathrm{~N}\)
2 \(1450 \mathrm{~N}\)
3 \(1050 \mathrm{~N}\)
4 \(1250 \mathrm{~N}\)
Laws of Motion

146199 A curved road of diameter \(1.8 \mathrm{~km}\) is banked, so that no friction is required at a speed to \(30 \mathrm{~m} / \mathrm{s}\). What is the banking angle?

1 \(6^{\circ}\)
2 \(16^{\circ}\)
3 \(26^{\circ}\)
4 \(0.6^{\circ}\)
Laws of Motion

146200 A time varying horizontal force (in Newton) \(F\) \(=8|\sin (4 \pi \mathrm{t})|\) is acting on a stationary block of mass \(2 \mathrm{~kg}\) as shown. Friction coefficient between the block and ground is \(\mu=0.5\) and \(g\) \(=10 \mathrm{~m} / \mathrm{s}^{2}\). Then resulting motion of the block will be
\(2 \mathrm{~kg} \rightarrow \mathrm{F}\)

1 It will oscillate
2 It remains stationary
3 It moves towards left
4 It moves towards right
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Laws of Motion

146196 The retarding acceleration of \(7.35 \mathrm{~ms}^{-2}\) due to frictional force stops the car of mass \(400 \mathrm{~kg}\) travelling on a road. The coefficient of friction between the tyre of the car and the road is

1 0.55
2 0.75
3 0.70
4 0.65
Laws of Motion

146197 A wooden box of mass \(8 \mathrm{~kg}\) slides down an inclined plane of inclination \(30^{\circ}\) to the horizontal with a constant acceleration of 0.4 \(\mathrm{m} \mathrm{s}^{-2}\). What is the force of friction between the box and inclined plane? \(\left[\mathbf{g}=\mathbf{1 0} \mathbf{~ m ~ s}^{-2}\right]\)

1 \(36.8 \mathrm{~N}\)
2 \(76.8 \mathrm{~N}\)
3 \(65.6 \mathrm{~N}\)
4 \(97.8 \mathrm{~N}\)
Laws of Motion

146198 Block A of weight \(100 \mathrm{~kg}\) rests on a block \(B\) and is tied with horizontal string to the wall at C. Block B is of \(200 \mathrm{~kg}\). The coefficient of friction between \(A\) and \(B\) is 0.25 and that between \(B\) and surface is \(\frac{1}{3}\). The horizontal force \(F\) necessary to move the block \(B\) should be \(\left(g=10 \mathrm{~m} / \mathrm{s}^{2}\right)\)

1 \(1050 \mathrm{~N}\)
2 \(1450 \mathrm{~N}\)
3 \(1050 \mathrm{~N}\)
4 \(1250 \mathrm{~N}\)
Laws of Motion

146199 A curved road of diameter \(1.8 \mathrm{~km}\) is banked, so that no friction is required at a speed to \(30 \mathrm{~m} / \mathrm{s}\). What is the banking angle?

1 \(6^{\circ}\)
2 \(16^{\circ}\)
3 \(26^{\circ}\)
4 \(0.6^{\circ}\)
Laws of Motion

146200 A time varying horizontal force (in Newton) \(F\) \(=8|\sin (4 \pi \mathrm{t})|\) is acting on a stationary block of mass \(2 \mathrm{~kg}\) as shown. Friction coefficient between the block and ground is \(\mu=0.5\) and \(g\) \(=10 \mathrm{~m} / \mathrm{s}^{2}\). Then resulting motion of the block will be
\(2 \mathrm{~kg} \rightarrow \mathrm{F}\)

1 It will oscillate
2 It remains stationary
3 It moves towards left
4 It moves towards right
Laws of Motion

146196 The retarding acceleration of \(7.35 \mathrm{~ms}^{-2}\) due to frictional force stops the car of mass \(400 \mathrm{~kg}\) travelling on a road. The coefficient of friction between the tyre of the car and the road is

1 0.55
2 0.75
3 0.70
4 0.65
Laws of Motion

146197 A wooden box of mass \(8 \mathrm{~kg}\) slides down an inclined plane of inclination \(30^{\circ}\) to the horizontal with a constant acceleration of 0.4 \(\mathrm{m} \mathrm{s}^{-2}\). What is the force of friction between the box and inclined plane? \(\left[\mathbf{g}=\mathbf{1 0} \mathbf{~ m ~ s}^{-2}\right]\)

1 \(36.8 \mathrm{~N}\)
2 \(76.8 \mathrm{~N}\)
3 \(65.6 \mathrm{~N}\)
4 \(97.8 \mathrm{~N}\)
Laws of Motion

146198 Block A of weight \(100 \mathrm{~kg}\) rests on a block \(B\) and is tied with horizontal string to the wall at C. Block B is of \(200 \mathrm{~kg}\). The coefficient of friction between \(A\) and \(B\) is 0.25 and that between \(B\) and surface is \(\frac{1}{3}\). The horizontal force \(F\) necessary to move the block \(B\) should be \(\left(g=10 \mathrm{~m} / \mathrm{s}^{2}\right)\)

1 \(1050 \mathrm{~N}\)
2 \(1450 \mathrm{~N}\)
3 \(1050 \mathrm{~N}\)
4 \(1250 \mathrm{~N}\)
Laws of Motion

146199 A curved road of diameter \(1.8 \mathrm{~km}\) is banked, so that no friction is required at a speed to \(30 \mathrm{~m} / \mathrm{s}\). What is the banking angle?

1 \(6^{\circ}\)
2 \(16^{\circ}\)
3 \(26^{\circ}\)
4 \(0.6^{\circ}\)
Laws of Motion

146200 A time varying horizontal force (in Newton) \(F\) \(=8|\sin (4 \pi \mathrm{t})|\) is acting on a stationary block of mass \(2 \mathrm{~kg}\) as shown. Friction coefficient between the block and ground is \(\mu=0.5\) and \(g\) \(=10 \mathrm{~m} / \mathrm{s}^{2}\). Then resulting motion of the block will be
\(2 \mathrm{~kg} \rightarrow \mathrm{F}\)

1 It will oscillate
2 It remains stationary
3 It moves towards left
4 It moves towards right