1
AIEEE 2006
+4
-1
A ball of mass $$0.2$$ $$kg$$ is thrown vertically upwards by applying a force by hand. If the hand moves $$0.2$$ $$m$$ while applying the force and the ball goes upto $$2$$ $$m$$ height further, find the magnitude of the force. (consider $$g = 10\,m/{s^2}$$).
A
$$4N$$
B
$$16$$ $$N$$
C
$$20$$ $$N$$
D
$$22$$ $$N$$
2
AIEEE 2006
+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
$$0.5J$$
3
AIEEE 2006
+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
$$2$$
4
AIEEE 2005
+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
$$1.5$$ $$cm$$
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