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

372171 A block of mass \(m\) is placed on floor of a lift which is rough. The coefficient of friction between the block and the floor is \(\mu\). When the lift falls freely, the block is pulled horizontally on the lift floor. The force of friction

1 zero
2 \(2 \mu \mathrm{mg}\)
3 \(\frac{1}{2} \mu \mathrm{mg}\)
4 \(\mu \mathrm{mg}\)
LAWS OF MOTION (ADDITIONAL)

372172 The coefficient of friction between a hemispherical bowl and an insect is \(\sqrt{0.44}\) and the radius of the bowl is \(0.6 \mathrm{~m}\). The maximum height to which an insect can crawl in the bowl will be

1 \(0.4 \mathrm{~m}\)
2 \(0.2 \mathrm{~m}\)
3 \(0.3 \mathrm{~m}\)
4 \(0.1 \mathrm{~m}\)
LAWS OF MOTION (ADDITIONAL)

372173 The rear side of truck is open and a box of mass \(50 \mathrm{~kg}\) is placed at \(3.2 \mathrm{~m}\) away from the open end. The coefficient of friction between the box. and the surface is 0.2 . If the truck starts from rest and moves on a straight road with acceleration \(2.1 \mathrm{~ms}^{-2}\), then the box falls off the truck after a time \(\left(\right.\) take \(\left.g=10 \mathrm{~ms}^{-2}\right)\)

1 \(4 \mathrm{~s}\)
2 \(\frac{8}{\sqrt{41}} \mathrm{~s}\)
3 \(8 \mathrm{~s}\)
4 \(\sqrt{8} \mathrm{~s}\)
LAWS OF MOTION (ADDITIONAL)

372174 A car is traveling along a curved road of radius \(r\). If the coefficient of friction between the tyres and the road is \(\mu\), the car will skid if its speed exceeds

1 \(2 \sqrt{\mu \mathrm{rg}}\)
2 \(3 \sqrt{\mu \mathrm{rg}}\)
3 \(\sqrt{2 \mu \mathrm{rg}}\)
4 \(\sqrt{\mu \mathrm{rg}}\)
LAWS OF MOTION (ADDITIONAL)

372175 A body of mass \(10 \mathrm{~kg}\) is lying on a rough plane inclined at an angle of \(30^{\circ}\) to the horizontal and the coefficient of friction is 0.5 . The minimum force required to pull the body up the plane is

1 \(914 \mathrm{~N}\)
2 \(91.4 \mathrm{~N}\)
3 \(9.14 \mathrm{~N}\)
4 \(0.914 \mathrm{~N}\)
LAWS OF MOTION (ADDITIONAL)

372171 A block of mass \(m\) is placed on floor of a lift which is rough. The coefficient of friction between the block and the floor is \(\mu\). When the lift falls freely, the block is pulled horizontally on the lift floor. The force of friction

1 zero
2 \(2 \mu \mathrm{mg}\)
3 \(\frac{1}{2} \mu \mathrm{mg}\)
4 \(\mu \mathrm{mg}\)
LAWS OF MOTION (ADDITIONAL)

372172 The coefficient of friction between a hemispherical bowl and an insect is \(\sqrt{0.44}\) and the radius of the bowl is \(0.6 \mathrm{~m}\). The maximum height to which an insect can crawl in the bowl will be

1 \(0.4 \mathrm{~m}\)
2 \(0.2 \mathrm{~m}\)
3 \(0.3 \mathrm{~m}\)
4 \(0.1 \mathrm{~m}\)
LAWS OF MOTION (ADDITIONAL)

372173 The rear side of truck is open and a box of mass \(50 \mathrm{~kg}\) is placed at \(3.2 \mathrm{~m}\) away from the open end. The coefficient of friction between the box. and the surface is 0.2 . If the truck starts from rest and moves on a straight road with acceleration \(2.1 \mathrm{~ms}^{-2}\), then the box falls off the truck after a time \(\left(\right.\) take \(\left.g=10 \mathrm{~ms}^{-2}\right)\)

1 \(4 \mathrm{~s}\)
2 \(\frac{8}{\sqrt{41}} \mathrm{~s}\)
3 \(8 \mathrm{~s}\)
4 \(\sqrt{8} \mathrm{~s}\)
LAWS OF MOTION (ADDITIONAL)

372174 A car is traveling along a curved road of radius \(r\). If the coefficient of friction between the tyres and the road is \(\mu\), the car will skid if its speed exceeds

1 \(2 \sqrt{\mu \mathrm{rg}}\)
2 \(3 \sqrt{\mu \mathrm{rg}}\)
3 \(\sqrt{2 \mu \mathrm{rg}}\)
4 \(\sqrt{\mu \mathrm{rg}}\)
LAWS OF MOTION (ADDITIONAL)

372175 A body of mass \(10 \mathrm{~kg}\) is lying on a rough plane inclined at an angle of \(30^{\circ}\) to the horizontal and the coefficient of friction is 0.5 . The minimum force required to pull the body up the plane is

1 \(914 \mathrm{~N}\)
2 \(91.4 \mathrm{~N}\)
3 \(9.14 \mathrm{~N}\)
4 \(0.914 \mathrm{~N}\)
LAWS OF MOTION (ADDITIONAL)

372171 A block of mass \(m\) is placed on floor of a lift which is rough. The coefficient of friction between the block and the floor is \(\mu\). When the lift falls freely, the block is pulled horizontally on the lift floor. The force of friction

1 zero
2 \(2 \mu \mathrm{mg}\)
3 \(\frac{1}{2} \mu \mathrm{mg}\)
4 \(\mu \mathrm{mg}\)
LAWS OF MOTION (ADDITIONAL)

372172 The coefficient of friction between a hemispherical bowl and an insect is \(\sqrt{0.44}\) and the radius of the bowl is \(0.6 \mathrm{~m}\). The maximum height to which an insect can crawl in the bowl will be

1 \(0.4 \mathrm{~m}\)
2 \(0.2 \mathrm{~m}\)
3 \(0.3 \mathrm{~m}\)
4 \(0.1 \mathrm{~m}\)
LAWS OF MOTION (ADDITIONAL)

372173 The rear side of truck is open and a box of mass \(50 \mathrm{~kg}\) is placed at \(3.2 \mathrm{~m}\) away from the open end. The coefficient of friction between the box. and the surface is 0.2 . If the truck starts from rest and moves on a straight road with acceleration \(2.1 \mathrm{~ms}^{-2}\), then the box falls off the truck after a time \(\left(\right.\) take \(\left.g=10 \mathrm{~ms}^{-2}\right)\)

1 \(4 \mathrm{~s}\)
2 \(\frac{8}{\sqrt{41}} \mathrm{~s}\)
3 \(8 \mathrm{~s}\)
4 \(\sqrt{8} \mathrm{~s}\)
LAWS OF MOTION (ADDITIONAL)

372174 A car is traveling along a curved road of radius \(r\). If the coefficient of friction between the tyres and the road is \(\mu\), the car will skid if its speed exceeds

1 \(2 \sqrt{\mu \mathrm{rg}}\)
2 \(3 \sqrt{\mu \mathrm{rg}}\)
3 \(\sqrt{2 \mu \mathrm{rg}}\)
4 \(\sqrt{\mu \mathrm{rg}}\)
LAWS OF MOTION (ADDITIONAL)

372175 A body of mass \(10 \mathrm{~kg}\) is lying on a rough plane inclined at an angle of \(30^{\circ}\) to the horizontal and the coefficient of friction is 0.5 . The minimum force required to pull the body up the plane is

1 \(914 \mathrm{~N}\)
2 \(91.4 \mathrm{~N}\)
3 \(9.14 \mathrm{~N}\)
4 \(0.914 \mathrm{~N}\)
LAWS OF MOTION (ADDITIONAL)

372171 A block of mass \(m\) is placed on floor of a lift which is rough. The coefficient of friction between the block and the floor is \(\mu\). When the lift falls freely, the block is pulled horizontally on the lift floor. The force of friction

1 zero
2 \(2 \mu \mathrm{mg}\)
3 \(\frac{1}{2} \mu \mathrm{mg}\)
4 \(\mu \mathrm{mg}\)
LAWS OF MOTION (ADDITIONAL)

372172 The coefficient of friction between a hemispherical bowl and an insect is \(\sqrt{0.44}\) and the radius of the bowl is \(0.6 \mathrm{~m}\). The maximum height to which an insect can crawl in the bowl will be

1 \(0.4 \mathrm{~m}\)
2 \(0.2 \mathrm{~m}\)
3 \(0.3 \mathrm{~m}\)
4 \(0.1 \mathrm{~m}\)
LAWS OF MOTION (ADDITIONAL)

372173 The rear side of truck is open and a box of mass \(50 \mathrm{~kg}\) is placed at \(3.2 \mathrm{~m}\) away from the open end. The coefficient of friction between the box. and the surface is 0.2 . If the truck starts from rest and moves on a straight road with acceleration \(2.1 \mathrm{~ms}^{-2}\), then the box falls off the truck after a time \(\left(\right.\) take \(\left.g=10 \mathrm{~ms}^{-2}\right)\)

1 \(4 \mathrm{~s}\)
2 \(\frac{8}{\sqrt{41}} \mathrm{~s}\)
3 \(8 \mathrm{~s}\)
4 \(\sqrt{8} \mathrm{~s}\)
LAWS OF MOTION (ADDITIONAL)

372174 A car is traveling along a curved road of radius \(r\). If the coefficient of friction between the tyres and the road is \(\mu\), the car will skid if its speed exceeds

1 \(2 \sqrt{\mu \mathrm{rg}}\)
2 \(3 \sqrt{\mu \mathrm{rg}}\)
3 \(\sqrt{2 \mu \mathrm{rg}}\)
4 \(\sqrt{\mu \mathrm{rg}}\)
LAWS OF MOTION (ADDITIONAL)

372175 A body of mass \(10 \mathrm{~kg}\) is lying on a rough plane inclined at an angle of \(30^{\circ}\) to the horizontal and the coefficient of friction is 0.5 . The minimum force required to pull the body up the plane is

1 \(914 \mathrm{~N}\)
2 \(91.4 \mathrm{~N}\)
3 \(9.14 \mathrm{~N}\)
4 \(0.914 \mathrm{~N}\)
LAWS OF MOTION (ADDITIONAL)

372171 A block of mass \(m\) is placed on floor of a lift which is rough. The coefficient of friction between the block and the floor is \(\mu\). When the lift falls freely, the block is pulled horizontally on the lift floor. The force of friction

1 zero
2 \(2 \mu \mathrm{mg}\)
3 \(\frac{1}{2} \mu \mathrm{mg}\)
4 \(\mu \mathrm{mg}\)
LAWS OF MOTION (ADDITIONAL)

372172 The coefficient of friction between a hemispherical bowl and an insect is \(\sqrt{0.44}\) and the radius of the bowl is \(0.6 \mathrm{~m}\). The maximum height to which an insect can crawl in the bowl will be

1 \(0.4 \mathrm{~m}\)
2 \(0.2 \mathrm{~m}\)
3 \(0.3 \mathrm{~m}\)
4 \(0.1 \mathrm{~m}\)
LAWS OF MOTION (ADDITIONAL)

372173 The rear side of truck is open and a box of mass \(50 \mathrm{~kg}\) is placed at \(3.2 \mathrm{~m}\) away from the open end. The coefficient of friction between the box. and the surface is 0.2 . If the truck starts from rest and moves on a straight road with acceleration \(2.1 \mathrm{~ms}^{-2}\), then the box falls off the truck after a time \(\left(\right.\) take \(\left.g=10 \mathrm{~ms}^{-2}\right)\)

1 \(4 \mathrm{~s}\)
2 \(\frac{8}{\sqrt{41}} \mathrm{~s}\)
3 \(8 \mathrm{~s}\)
4 \(\sqrt{8} \mathrm{~s}\)
LAWS OF MOTION (ADDITIONAL)

372174 A car is traveling along a curved road of radius \(r\). If the coefficient of friction between the tyres and the road is \(\mu\), the car will skid if its speed exceeds

1 \(2 \sqrt{\mu \mathrm{rg}}\)
2 \(3 \sqrt{\mu \mathrm{rg}}\)
3 \(\sqrt{2 \mu \mathrm{rg}}\)
4 \(\sqrt{\mu \mathrm{rg}}\)
LAWS OF MOTION (ADDITIONAL)

372175 A body of mass \(10 \mathrm{~kg}\) is lying on a rough plane inclined at an angle of \(30^{\circ}\) to the horizontal and the coefficient of friction is 0.5 . The minimum force required to pull the body up the plane is

1 \(914 \mathrm{~N}\)
2 \(91.4 \mathrm{~N}\)
3 \(9.14 \mathrm{~N}\)
4 \(0.914 \mathrm{~N}\)