Question 1 :
The bag of sand of mass 2 kg is suspended by a rope. A bullet of mass 10 g is fired at it and gets embedded into it. The bag rises up a vertical height of 10 cm. The initial velocity of the bullet is nearly : (Take  $g=9.8\ m/s^2$)
Question 2 :
A force of $10 N$ acts on a $5 kg$ body initially at rest. The work done by the force during the first two seconds of motion of the body is
Question 3 :
How much work is done in raising a stone of mass 5 kg and relative density 3 lying at the bed of a lake through height of 3 meter? (Take $g = 10 ms^{-2}$):
Question 4 :
A rope is used to lower vertically a block of mass M at a distance x at a constant downward acceleration $g/2$. The work done by the rope on the block is:
Question 5 :
A force $F=Kx^{2}$ acts on a particle at an angle of $60^{o}$ with the work done in displacing the particle from $x_{1}$ to $x_{2}$ will be:
Question 6 :
The kinetic energy possessed by a body with mass $m$ and moving with a velocity $v$ at a height $h$ is given by
Question 7 :
A box of mass $1\ kg$ is pulled on a horizontal plane of length $1\ m$  by a force of $8\ N$  then it is raised vertically to a height of $2$ m, the net work done is:
Question 8 :
A boy of mass $40kg$ runs up a flight of $50$ steps, each $10cm$ high in $14s$. So, work done by the boy is:
Question 9 :
In an ice rink a skator is moving at $3 ms$ <br> $^{-1}$ and encounters a rough patch that reduces her speed by $45\%$ due to a friction force that is $25\%$ of her weight. Find the length of the rough patch.
Question 10 :
A block is attached to the end of an ideal spring and moved from coordinate $x_i$ to coordinate $x_f$. The relaxed position is at $x=0$. The work done by spring is positive if.
Question 11 :
A body constrained to move along y-axis is subjected to a constant force $\vec {F} = -\hat {i} + 2\hat {j} + 3\hat {k}N$. The work done by this force in moving the body a distance of $4\ m$ along y-axis is:
Question 12 :
A body of mass starts moving from rest along x-axis so that its velocity varies as $v = a\sqrt {s}$ where $a$ is a constant and $s$ is the distance covered by the body. The total work done by all the forces acting on the body in the first seconds after the start of the motion is:
Question 13 :
Calculate work done on object where applied force is $10N$ and distance is $10m$:
Question 14 :
A body of mass $2\ kg$ moving under a force has relation between displacement $x$ and time $t$ as $x=\dfrac{t^{3}}{3}$ where $x$ is in metre and $t$ is in sec. The work done by the body in first two second will be
Question 15 :
How much work does a person do in pushing a box with a force of 20 N over a distance of 8.0 m in the direction of the force?