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1.
If kinetic energy of a body remains constant, then momentum-mass graph is
2.
A man of 
mass is standing in a gravity free space at a height of 
above the floor. He throws a stone of 
mass downwards with a speed of 
. When the stone reaches the floor, the distance of the man above the floor will be
mass is standing in a gravity free space at a height of above the floor. He throws a stone of mass downwards with a speed of . When the stone reaches the floor, the distance of the man above the floor will be
3.
Two balls each of mass 
are placed on the vertices 
and 
of an equilateral triangle 
of side 1m. A ball of mass 2 is placed at vertex 
. The centre of mass of this system from vertex (located at origin) is
are placed on the vertices and of an equilateral triangle of side 1m. A ball of mass 2 is placed at vertex . The centre of mass of this system from vertex (located at origin) is
4.
One quarter of the disc of mass is removed. If 
be the radius of the disc, the new moment of inertia is
is removed. If be the radius of the disc, the new moment of inertia is
5.
Three identical spheres, each of mass 1 kg are kept as shown in figure below, touching each other, with their centers on a straight line. If their centres are marked 
, 
, 
respectively, the distance of centre of mass of the system from is
, , respectively, the distance of centre of mass of the system from is
6.
A man weighing 
is standing in a trolley weighing 
. The trolley is resting on frictionless horizontal rails. If the man starts walking on the trolley with a speed of 
, then after 
his displacement relative to the ground will be
is standing in a trolley weighing . The trolley is resting on frictionless horizontal rails. If the man starts walking on the trolley with a speed of , then after his displacement relative to the ground will be
7.
2 bodies of different masses of 
and 
are moving with velocities 
and 
towards each other due to mutual gravitational attraction. What is the velocity of their centre of mass
and are moving with velocities and towards each other due to mutual gravitational attraction. What is the velocity of their centre of mass
8.
A uniform disk of mass 
and radius 
is mounted on a fixed horizontal axis. A block of mass hangs from a mass less string that is wrapped around the rim of the disk. The magnitude of the acceleration of the falling block 
is
and radius is mounted on a fixed horizontal axis. A block of mass hangs from a mass less string that is wrapped around the rim of the disk. The magnitude of the acceleration of the falling block is
9.
A particle of mass collides with another stationary particle of mass . If the particle stops just after collision, the coefficient of restitution of collision is equal to
collides with another stationary particle of mass . If the particle stops just after collision, the coefficient of restitution of collision is equal to
10.
The moment of inertia of a uniform ring of mass and radius about a tangent lying in its own plane is
and radius about a tangent lying in its own plane is