Laws of Motion ...

A force acts on a body of mass 3 kg such that its velocity changes from $$4 \,m\, s^{-1}$$ to $$10 \,m\, s^{-1}$$. The change in momentum of the body is:

From Newton's third law,  Action and reaction____.

On which one of the following conservation laws, does a rocket work?

An aeroplane executes a horizontal loop at a speed of 720 kmph with its wings banked at $$45^o$$. What is the radius of the loop?
Take g = 10 $$ms^{-2}$$.

A stone of mass $$10 kg$$ tied with a string of length $$0.5 m$$ is rotated in a vertical circle. Find the total energy of the stone at the highest position. (in $$J$$)

A small stone tied to an inextensible string of negligible mass is rotated in a circle of radius $$2 m$$ in a vertical plane. Find the speed at a horizontal point on the circle. (in $$m/s$$)

A car executes a turn of radius $$22 m$$ on a banked road while travelling at a speed of $$45 km/h$$. If the height of the outer edge above the inner edge of the road is $$1.1 m$$, what is the breadth of the road? (in $$m$$)

A motorcyclist executes a horizontal loop at a speed of $$65km/h$$ while himself making an angle of $$12^o$$ with the horizontal. What is the radius of the loop? (in $$m$$)

The angle of banking of a turn of radius $$75 m$$ on a road is $$30^o$$. What is the speed at which a car can turn along this curve? (in $$m/s$$)

The centre of gravity of a car is $$0.62 m$$ above the ground. It can turn along a track which is $$1.24 m$$ wide and has radius $$r$$. If the greatest speed at which the car can take the turn is $$22.02 m/s$$, What is the value of $$r$$? (in $$m$$)