An automobile is moving on a horizontal road with a speed `v`. If the coefficient of friction between the tyres and the road is `mu`, show that the shortest distance in which the automobile can be stopped in `v^2//2mug`.

An automobile is moving on a horizontal road with a speed of v.If teh coeficient of friction between the tyres nd the road is mu ,show that the shortest distance in whih the automobie can be stopped is v^2l2mug .

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?

The rear side of a truck is open and a box of 40 kg mass is placed 5 m away from the open end as shown. The coefficient of friction between the box and the surface below its is 0.15. On a straight road, the truck starts from rest and accelerates with 2 ms^-2 . At what distance from the starting point does the box fall off the truck ?/ (Ignore the size of the box).

A particle of mass m and charge (-q) enters the region between the two charged plates initially moving along x-axis with speed v_x. The length of plate is L and an uniform electric field E is maintained between the plates. Show that the vertical deflection of the particle at the far edge of the plate is qEL^2//(2m v_x^2) .

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.