Laws of Motion ...

A body $$X$$ of mass $$5 kg$$ is moving with velocity $$20 m s^{-1}$$ while another body Y of mass $$20 kg$$ is moving with velocity $$5 m s^{-1}$$. Compare the momentum of the two bodies.

A toy car is tied to the end of an unstretched string of a length, $$a$$. When revolved, the toy car moves in a horizontal circle of radius $$2a$$ with time period, $$T$$. If it is now revolved in a horizontal circle of radius $$3a$$ with a period $$T'$$ with the same force, then

A truck has a width of $$2.8\ m$$. It is moving on a circular road of radius $$48.6\ m$$. The height of centre of mass is $$1.2\ m$$. The maximum speed so that it does not over turn will be nearly

A car of mass $$600 kg$$ is moving with a speed of $$10 m s^{-1}$$ while a scooter of mass $$80 kg$$ is moving with a speed of $$50 m s^{-1}$$. Compare their momentum.

A body of mass m moving with a velocity v is acted upon by a force. Write expression for change in momentum  when $$v\rightarrow c$$.

At a curved path of the road, the road bed is raised a little on the side away from the centre of the curved path. The slope of the road bed is given by

A small sphere is attached to a cord and rotates in a vertical circle about a point $$O$$. If the average speed of the sphere is increased, the cord is most likely to break at the orientation when the mass is at

With what minimum speed $$v$$ must a small ball should be pushed inside a smooth vertical tube from a height $$h$$ so that it may reach the top of the tube? Radius of the tube is $$R$$.

Find the maximum speed at which a truck can safely travel without toppling over, on a curve of radius $$250m$$. The height of the centre of gravity of the truck above the ground is $$1.5 m$$ and the distance between the wheels is $$1.5m$$, the truck being horizontal.

A bullet of mass $$50  g$$ moving with an initial velocity $$100  m  {s}^{-1}$$, strikes a wooden block and comes to rest after penetrating a distance $$2  cm$$ in it. Calculate: (i) initial momentum of the bullet, (ii) final momentum of the bullet.