A car weighs 1800 kg. The distance between its front and back axles is 1.8 m. Its centre of gravity is 1.05 m behind the front axle. Determine the force exerted by the level ground on each front wheel and each back wheel.

A ball weighing 5 kg is being rotated by means of a cord 2 m long.if its velocity is 6 m s^-1 ,find the force that tends to break the cord.

A small sphere rolls down without slipping from the top of a track in a vertical plane. The track has an elevated section and a horizontal part is 1.0 m above the ground level and the top of the track is 2.4 m above the ground. Find the distance on the ground with respect to the point B (which is vertically ) below the end of the track as shown in figure. Where the sphere lands. During its flight as a projectile does the sphere continue to rotate about its centre of mass? Explain.

An object is placed in front of convex mirror 20 cm radius of curvature.Its image is forced 8 cm behind the mirror.Find the distance of the object from the miror.

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

A rectangular plot is given for constructing a house having a measurement of 40m length and 15m in the front. According to the laws, a minimum of 3m, wide space should be left in the front and back each and 2m wide space on each of other sides. Find the largest area where house can be constructed.

A hexagon of side 0.1 m has a charge 10 mu C at each of its vertices. Calculate the electric potential at the centre of the hexagon.

Two heavy spheres each of mass 100 kg and radius 0.10 m are placed 1.0 m apart on a horizontal table. What is the gravitational force and potential at the mid point of the line joining the centres of the spheres ? Is an object placed at that point in equilibrium? If so, is the equilibrium stable or unstable ?