1
AIEEE 2007
MCQ (Single Correct Answer)
+4
-1
A particle is projected at $$60^\circ $$ to the horizontal with a kinetic energy K. The kinetic energy at the highest point is
A
K/2
B
K
C
Zero
D
K/4
2
AIEEE 2007
MCQ (Single Correct Answer)
+4
-1
The velocity of a particle is v = v0 + gt + ft2. If its position is x = 0 at t = 0, then its displacement after unit time (t = 1) is
A
v0 + g/2 + f
B
v0 + 2g + 3f
C
v0 + g/2 + f/3
D
v0 + g + f
3
AIEEE 2007
MCQ (Single Correct Answer)
+4
-1
A block of mass $$m$$ is connected to another block of $$mass$$ $$M$$ by a spring (massless) of spring constant $$k.$$ The block are kept on a smooth horizontal plane. Initially the blocks are at rest and the spring is unstretched. Then a constant force $$F$$ starts acting on the block of mass $$M$$ to pull it. Find the force of the block of mass $$m.$$
A
$${{MF} \over {\left( {m + M} \right)}}$$
B
$${{mF} \over M}$$
C
$${{\left( {M + m} \right)F} \over m}$$
D
$${{mF} \over {\left( {m + M} \right)}}$$
4
AIEEE 2007
MCQ (Single Correct Answer)
+4
-1
A $$2$$ $$kg$$ block slides on a horizontal floor with a speed of $$4m/s.$$ It strikes a uncompressed spring, and compress it till the block is motionless. The kinetic friction force is $$15N$$ and spring constant is $$10, 000$$ $$N/m.$$ The spring compresses by
A
$$8.5cm$$
B
$$5.5cm$$
C
$$2.5cm$$
D
$$11.0cm$$
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