Question 1 A bullet of mass $m$ is fired with speed $v$ into a fixed block of wood and is brought to rest in a distance $d$. Find the resistance to motion assuming it to be constant. Another bullet also of mass $m$ is then fired with speed $2v$ into another fixed block of thickness... Read More

Question 1 State the principle of the conservation of momentum. A car weighing $2$ tons and moving at $60$ m.p.h. along a main road collides with a lorry of weight $10$ tons which emerges at $30$ m.p.h. from a crossroad at right angles to the main road. If the two vehicles lock, what will be... Read More

Question 1 Show how to find the centre of gravity of a non-rectangular parallelogram. A thin uniform square sheet of metal $ABCD$ of area $4$ square inches weighs $4$ ounces. At the corners $A$, $B$, $C$, $D$ weights of $1$ oz., $2$ oz., $3$ oz., and $4$ oz., respectively are placed. Locate the centre of... Read More

Question 1 A body is projected under gravity with initial velocity $\vec{u}$ at an angle $\theta$ to the horizontal. Find in terms of $u$, $\theta$, (a) the maximum height attained, (b) the time required to reach that height, and (c) the distance it has travelled in a horizontal direction on reaching the maximum height. A... Read More

Question 1 (a) Represent any two velocities $\vec{v_1}$ and $\vec{v_2}$ by a vector diagram, and illustrate the vectors $(\vec{v_1}+\vec{v_2})$ and $(\vec{v_1}-\vec{v_2})$. (b) When the sun, S, is $30^\circ$ above the horizon, an aeroplane $A$ glides in for landing with the sun behind, moving with a speed of $80$ m.p.h. along a path sloping $15^\circ$ down... Read More

Question 1 Two pegs are fixed at points $A$ and $D$ in the same horizontal line. One end of a light string is attached to $A$ and the other end to $D$. When masses of $5$ and $9$ lb. are attached to points $B$ and $C$, respectively, on the string, the $\angle DAB = 30^\circ$... Read More

Question 1 A uniform ladder $PQ$ has a length of $26$ feet and weighs $40$ lbs. The end $Q$ leans against a vertical rough wall (coefficient of friction $\frac{1}{4}$) and the other end $P$ is on rough horizontal ground (coefficient of friction $\frac{1}{2}$) at a distance of $24$ feet from the wall. A block weighing... Read More

Question 1 $P$ and $S$ are two fixed pegs in the same horizontal line. One end of a light string is attached to $P$ and the other end to $S$. When two masses are attached to the string, one at a point $Q$ and the other at a point $R$, the angles $PQR$, $QRS$, $RSP$... Read More