Calculate the maximum speed with which a car cen be driven safely along a curved road of radius 30 m and banked at `30^@` with the horizontal. Given, `g=9.8 ms^(-2)`.

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).

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.

Calculate the strength of magnetic field due to an electron revolving in a circle of radius 2xx10^-10 m with a speed of 5xx10^6 ms^-1 at its centre.

A wire of mass 9.8*10^(-3) kg per metre passes over a friction less pulley fixed on the top of an inclined friction less plane which makes an angle of 30^@ with the horizontal. Masses M_(1) and M_(2) are tied at the two end of the wire. The mass M_(1) rests on the plane and the mass M_(2) hangs vertically downward. The whole system is in equilibrium. Now a transverse wave propagates along the wire with a velocity of 100ms^(-1) . Find the values of masses M_(1) and M_(2) . Take g= 9.8ms^(-2) .

What are the two angles of projection of a projectile with velocity 30 m s^-1 , so that the horizontal range is 45 m.Take g=10 m s^-2 .

Calculate the work done by a car against gravity in moving along a straight horizontal road. The mass of the car is 400 kg and the distance moved is 2 m.

Calculate the voltage needed to balance an oil drop carrying 10 electrons, when located between plates of a capacitor, which are 5 mm apart. Given, mass of the drop = 3xx 10^-16 kg , charge on electrno = 1.6 xx 10^-19 C and g = 9.8 m s^-2

A stone of mass 0.25 kg tied to the end of a string is whirled round in a circle of radius 1.5 m with a speed of 40 rev.//min in a horizontal plane. What is the tension in the string ? What is the maximum speed with which the stone can be whirled around if the string can withstand a maximum tension of 200 N ?