1
AIEEE 2006
MCQ (Single Correct Answer)
+4
-1
A particle of mass $$100g$$ is thrown vertically upwards with a speed of $$5$$ $$m/s$$. The work done by the force of gravity during the time the particle goes up is
A
$$-0.5J$$
B
$$-1.25J$$
C
$$1.25J$$
D
$$0.5J$$
2
AIEEE 2006
MCQ (Single Correct Answer)
+4
-1
The potential energy of a $$1$$ $$kg$$ particle free to move along the $$x$$-axis is given by $$V\left( x \right) = \left( {{{{x^4}} \over 4} - {{{x^2}} \over 2}} \right)J$$.

The total mechanical energy of the particle is $$2J.$$ Then, the maximum speed (in $$m/s$$) is

A
$${3 \over {\sqrt 2 }}$$
B
$${\sqrt 2 }$$
C
$${1 \over {\sqrt 2 }}$$
D
$$2$$
3
AIEEE 2005
MCQ (Single Correct Answer)
+4
-1
A bullet fired into a fixed target loses half of its velocity after penetrating $$3$$ $$cm.$$ How much further it will penetrate before coming to rest assuming that it faces constant resistance to motion?
A
$$2.0$$ $$cm$$
B
$$3.0$$ $$cm$$
C
$$1.0$$ $$cm$$
D
$$1.5$$ $$cm$$
4
AIEEE 2005
MCQ (Single Correct Answer)
+4
-1
A body of mass $$m$$ is accelerated uniformly from rest to a speed $$v$$ in a time $$T.$$ The instantaneous power delivered to the body as a function of time is given by
A
$${{m{v^2}} \over {{T^2}}}.{t^2}$$
B
$${{m{v^2}} \over {{T^2}}}.t$$
C
$${1 \over 2}{{m{v^2}} \over {{T^2}}}.{t^2}$$
D
$${1 \over 2}{{m{v^2}} \over {{T^2}}}.t$$
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