spring is then compressed a distance of x and
released. When the ball reaches the maximum
height of its trajectory, it is travelling at a speed v.
Then a different ball, weighing four as much as the
first, is placed on the spring which is still at an
angle .The spring is again compressed at a
distance x and released. Compared to the first ball,
the second ball reaches a maximum height that is
(a) 4 times higher (b) sin^2 times as high
(c)
v g^2
x
times as high (d) 1/4 times as high
A child is sitting at one end of a long trolley moving
with a uniform speed v on a smooth horizontal track.
If the child starts running towards the other end of
the trolley with a speed u (w.r.t trolley), the speed
of the centre of mass of the system is
(a) v - u (b) u + v
(c) v (d) None of these
A ball of mass m elastically collides with a wall with
velocity v, then change in its momentum is equal to
(a) 8 mv (b) 2 mv (c) zero (d) 2 m
A particle of mass m collides with another stationary
particle of mass M. If the particle m stops just after
collision, the coefficient of restitution for collision
is equal to
(a)
m
M
(b) 1
(c)
m
M m
(d)
M m
M m
The figure shows a man of mass m standing at the
end A of a trolley of mass M placed at rest on a
smooth horizontal surface. The man starts moving
towards the end B with a velocity urelwith respect
to the trolley. The length of the trolley is L.
When the man starts moving, then the velocity of
the trolley with respect to ground will be:
(a) rel
mu
m M
(b) rel
M
u
m
(c)
Murel
m M
(d) rel
m
u
M
If a ball collides with a wall at an angle of 45 and
rebounds perpendicularly with its initial direction
then find the impulse acting on the ball
Centre of Mass, Linear Momentum & Collision
11.
15.
(a) 2 cos45mv iˆ (b) mvcos45iˆ
(c) 2 cos45mv iˆ (d) mvcos45iˆ
d b c a b
b a b d d
d b a a a