1
AIPMT 2012 Prelims
+4
-1
A solid cylinder of mass 3 kg is rolling on a horizontal surface with velocity 4 m s$$-$$1. It collides with a horizontal spring of force constant 200 N m$$-$$1. The maximum compression produced in the spring will be
A
0.5 m
B
0.6 m
C
0.7 m
D
0.2 m
2
AIPMT 2012 Prelims
+4
-1
The potential energy of a particle in a force field is $$U = {A \over {{r^2}}} - {B \over r}$$ where A and B are positive constants and r is the distance of particle from the centre of the field. For stable equilibrium, the distance of the particle is
A
$${B \over {2A}}$$
B
$${{2A} \over B}$$
C
$${A \over B}$$
D
$${B \over A}$$
3
AIPMT 2011 Mains
+4
-1
A mass m moving horizontally (along the x-axis) with velocity $$v$$ collides and sticks to a mass of 3m moving vertically upwards (along the y-axis) with velocity 2$$v$$. The final velocity of the combination is
A
$${3 \over 2}v\widehat i + {1 \over 4}v\widehat j$$
B
$${1 \over 4}v\widehat i + {3 \over 2}v\widehat j$$
C
$${1 \over 3}v\widehat i + {2 \over 3}v\widehat j$$
D
$${2 \over 3}v\widehat i + {1 \over 3}v\widehat j$$
4
AIPMT 2011 Prelims
+4
-1
The potential energy of a system increases if work is done
A
upon the system by a nonconservative force
B
by the system agains is a conservative force.
C
by the system against a nonconservative force.
D
upon the system by a conservative force.
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