A bullet enters a block of wood with a velocity u. Its velocity decreases to v after going through a distance x inside. After covering a further distance y inside the bullet stops. Prove that `(u)/(v) =sqrt((y+x)/(y))`.

A mass m acquires a velocity v after covering a distance x, when a force F is applied on it for time t. show that, t = (mv)/(F) and x = (1)/(2) (mv^(2))/(F) .

A bullet with an initial velocity u penetrates a target. After penetrating a distance x, its velocity decreases by (u)/(n) . How much farther will the buIIet move through the before if comes to rest?

A body freely falling from rest has a velocity v after it falls through a height of h. The distance it has to fall down for its velocity to become 2 v is

A ladder rest against a wall making an angle alpha with the horizontal. The foot of the ladder is pulled away from the wall through a distance x , so that it slides a distance y down the wall making an angle beta with the horizontal. Prove that x=ytan(alpha+beta)/2dot

A bullet of mass 0.04 kg moving with a speed of 90 mcdot s^(-1) enters a heavy wooden block and is stopped after a distance of 60 cm. What is the average resistive force exerted by the block on the bullet?

A bullet of mass m moving with a horizontal velocity v entered a block of mass M. As a result , the block and the bullet start moving together. Show that, after the impact, m/(M+m) part of the kinetic energy of the bullet is available as mechanical energy. What happens to the rest of the energy?

A train starts from a station and stops at another station. First the velocity of the train increases at a uniform rate, reaches a maximum velocity v and then starts decreasing at a constant rate. If the time spent for the entire journey is t, prove that the distance between the two stations is (1)/(2) vt.