1
JEE Main 2022 (Online) 26th July Morning Shift
+4
-1

As per the given figure, two blocks each of mass $$250 \mathrm{~g}$$ are connected to a spring of spring constant $$2 \,\mathrm{Nm}^{-1}$$. If both are given velocity $$v$$ in opposite directions, then maximum elongation of the spring is :

A
$$\frac{v}{2 \sqrt{2}}$$
B
$$\frac{v}{2}$$
C
$$\frac{v}{4}$$
D
$$\frac{v}{\sqrt{2}}$$
2
JEE Main 2022 (Online) 25th July Evening Shift
+4
-1

A bag of sand of mass 9.8 kg is suspended by a rope. A bullet of 200 g travelling with speed 10 ms$$-$$1 gets embedded in it, then loss of kinetic energy will be :

A
4.9 J
B
9.8 J
C
14.7 J
D
19.6 J
3
JEE Main 2022 (Online) 25th July Morning Shift
+4
-1

A body of mass $$0.5 \mathrm{~kg}$$ travels on straight line path with velocity $$v=\left(3 x^{2}+4\right) \mathrm{m} / \mathrm{s}$$. The net workdone by the force during its displacement from $$x=0$$ to $$x=2 \mathrm{~m}$$ is :

A
64 J
B
60 J
C
120 J
D
128 J
4
JEE Main 2022 (Online) 29th June Evening Shift
+4
-1

In the given figure, the block of mass m is dropped from the point 'A'. The expression for kinetic energy of block when it reaches point 'B' is

A
$${1 \over 2}mg\,{y_0}^2$$
B
$${1 \over 2}mg\,{y^2}$$
C
$$mg(y - {y_0})$$
D
$$mg{y_0}$$
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