Calculate the speed with which a vehicle can safely move on a banked circular road. How can wear and tear of tyres be reduced on such a road? (taking into consideration the friction between tyres and road).

Calculate the maximum speed with which a vehicle can travel on a level circular road without skidding.

Define centripetal and centrifugal forces. Explain with the help of neat diagram, how banking provides the centripetal force necessary for a car to go in circular track. (ignore friction between types and road).

A cyclist speeding at 18 km h^-1 on a level road makes a sharp circular turn of radius 3 m without reducing the speed. The coefficient of static friction between the tyres and the road is 0.1 will the cyclist slip while taking the turn?

A bend in a level road has radius of 100 m.Find the maximum speed with which a car turning this bend may have without skidding ,if the coefficient of friction between the tyres and road is 0.8.

A bend in a level road has a radius of 100 m.Find the maximum speed with which a car turning thi bend may have without skidding,if the co-efficient of friction between the tyres and the road is 0.2.

A car of mass 1000 kg moves on a circular road with a speed of 20 ms^-1 . Its direction changes by 90^@ after travelling 628 m on the road. The centripetal force acting on the car is

Read the following passage and answer the questions. Ultrafiltration is the process of separating the colloidal particles from the solvent and soluble solutes present in the colloidal solution by specially prepared filters, which are permeable to all substances except the colloidal particles. Colloidal particles can pass through ordinary filter paper because the pores are too large. However, the pores of filter paper can be reduced in size by impregnating with collodion solution to stop the flow of colloidal particles. The usual collodion is a 4% solution of nitrocellulose in a mixture of alcohol and ether. An ultra-filter paper may be prepared by soaking the filter paper in a collodion solution, hardening by formaldehyde and then finally drying it. Thus, by using ultra-filter paper, the colloidal particles are separated from rest of the materials. Ultrafiltration is a slow process. To speed up the process, pressure or suction is applied. The colloidal particles left on the ultra-filter paper are then stirred with fresh dispersion medium (solvent) to get a pure colloidal solution. How can you speed up the process of ultrafiltration ?

Read the following passage and answer the questions. Ultrafiltration is the process of separating the colloidal particles from the solvent and soluble solutes present in the colloidal solution by specially prepared filters, which are permeable to all substances except the colloidal particles. Colloidal particles can pass through ordinary filter paper because the pores are too large. However, the pores of filter paper can be reduced in size by impregnating with collodion solution to stop the flow of colloidal particles. The usual collodion is a 4% solution of nitrocellulose in a mixture of alcohol and ether. An ultra-filter paper may be prepared by soaking the filter paper in a collodion solution, hardening by formaldehyde and then finally drying it. Thus, by using ultra-filter paper, the colloidal particles are separated from rest of the materials. Ultrafiltration is a slow process. To speed up the process, pressure or suction is applied. The colloidal particles left on the ultra-filter paper are then stirred with fresh dispersion medium (solvent) to get a pure colloidal solution. How can you convert an ordinary filter paper into an ultrafilter paper ?