- The velocity versus time curve of a moving particle
is given in figure. The maximum acceleration is
O
C
D t (s)
v (cm s–1)
BA
10
10
20
20
30 40
40
50 60
60
80
70
40
(a) 1 cm s–2 (b) 2 cm s–
(c) 3 cm s–2 (d) 4 cm s–
- A body dropped from top of a tower falls through
40 m during the last two seconds of its fall. e
height of the tower (in m) is (Take g = 10 m s–2)
(a) 60 m (b) 45 m (c) 80 m (d) 50 m - e velocity at the maximum height of a projectile
is half its initial velocity of projection v 0. Its range
on the horizontal plane is
(a) 3v 02 /g (b) 3v 02 /2g
(c) v 02 /3g (d) 32 vg 02 / - A balloon of mass m is descending down with an
acceleration a (where a < g). How much mass be
removed from it so that it starts moving up with an
acceleration a?
(a)^2 ma
ga
(b)^2 ma
ga
(c) ma
ga
(d) ma
ga
- A ball of mass 0.2 kg rests on a vertical post of
height 5 m. A bullet of mass 0.01 kg travelling
with a velocity v m s–1 in a horizontal direction,
hits the centre of the ball. Aer the collision,
the ball and the bullet travel independently. e
ball hits the ground
at a distance of
20 m and the bullet
at a distance of 100 m
from the foot of the
post shown in gure.
e initial velocity v of the bullet is
(a) 250 m s–1 (b) 250 2 m s–
(c) 400 m s–1 (d) 500 m s– - Starting from rest, a body slides down a 45° inclined
plane in twice the time it takes to slide down the
same distance in the absence of friction. e
coecient of friction between the body and the
inclined plane is
(a) 0.33 (b) 0.25 (c) 0.75 (d) 0. - If the linear momentum is increased by 50%, then
KE will be increased by
(a) 50% (b) 100% (c) 125% (d) 200% - A block of mass 0.50 kg is moving with a speed of
2.00 m s–1 on a smooth surface. It strikes another
mass of 1.00 kg and then they move as a single body.
e energy loss during the collision is
(a) 0.16 J (b) 1.00 J (c) 0.67 J (d) 0.34 J
Ball Bullet
0 20 m 100 m
v m s–
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