Question 1 :
Imagine x-z plane to be fixed. A particle moving along the line 4x + 3y - 12 = 0, with a speed of 10 m/s, from the positive y-axis, approaches towards the plane and collides. If the coefficient of restitution be $e = 0.75,$ then the speed of the particle after collision will be:
Question 2 :
An inelastic ball is dropped from a height of $100\ cm$. Due to collision with the earth $20%$ of its energy is lost. To what height will the ball rise?
Question 3 :
In a one-dimensional elastic collision, the relative velocity of approach before collision is equal to:
Question 5 :
Choose the correct option who describes a perfectly inelastic collision free of external forces?
Question 6 :
A heating unit on an electric stove is rated at $880 W$. It is connected to a power supply of $220 V$. The current it will consume is
Question 8 :
 A body $P$  moving with a velocity of $20$ms$^{-1}$ collides with another body $Q$ of same mass at rest. After collision $P$ comes to rest. What is the velocity of the body $Q$ ?<br/>
Question 9 :
A body dropped freely from a height h onto a horizontal plane, bounces up and down and finally comes to rest. The coefficient of restitution is e, the ratio of distance travelled in two consecutive rebounds
Question 10 :
Calculate the work done in lifting  water of 200 kg through a vertical distance of 6 m. $\left ( g=10  m  s^{-2} \right )$<br/>
Question 11 :
Find the vertical height through which a body of mass $0.5kg$ is lifted if the energy spent in doing so is $1.0J$. Consider $g=10ms^{-2}$.
Question 12 :
 A bullet of mass 20 gm is fired from a rifle of mass 20 kg with a muzzle velocity of $200\ ms^{-1}$. Find the velocity of recoil of the rifle.<br/>
Question 13 :
The average power required to lift a $100kg$ mass through a height of $50$ metres in approximately $50$ seconds would be ( in J/s) <br/>
Question 15 :
Two balls $A$ and $B$ having masses $m\ \text{kg}$ and $2 m\ \text{kg,}$ moving with speeds $21\ \text{m/s}$ and $4\ \text{m/s}$ respectively in opposite direction, collide head on. After collision $A$ moves with a speed of $1\ \text{m/s}$ in the same direction, then incorrect statement is :
Question 16 :
A bus is moving with a speed of 10$ms^{-1}$ on a straight road. A scooterist wishes to overtake the bus in 100s. If the bus is at a distance of 1 km from the scooterist, with what speed should the scooterist chase the bus?
Question 17 :
A ball with mass m and speed $V_0$ hit a wall and rebounds back with same speed.<br/>Calculate the change in the object's kinetic energy.<br/>
Question 19 :
A bucket filled with water is tied to a rope of length $0.5\ m$ and is rotated in a circular path in vertical plane. the least velocity it should have at the lowest point of circle so that water does not spill is $(g=10ms^{-2})$:<br/><br/>
Question 20 :
A very small particle rests on the top of a hemisphere of radius $20\ cm$. The smallest horizontal velocity to be given to it, if it is to leave the hemisphere without sliding down its surface taking $g = 9.8 m/s^{2}$ is:<br/>