1
JEE Main 2022 (Online) 28th July Evening Shift
+4
-1

A bullet of mass $$200 \mathrm{~g}$$ having initial kinetic energy $$90 \mathrm{~J}$$ is shot inside a long swimming pool as shown in the figure. If it's kinetic energy reduces to $$40 \mathrm{~J}$$ within $$1 \mathrm{~s}$$, the minimum length of the pool, the bullet has to travel so that it completely comes to rest is

A
45 m
B
90 m
C
125 m
D
25 m
2
JEE Main 2022 (Online) 27th July Morning Shift
+4
-1

Sand is being dropped from a stationary dropper at a rate of $$0.5 \,\mathrm{kgs}^{-1}$$ on a conveyor belt moving with a velocity of $$5 \mathrm{~ms}^{-1}$$. The power needed to keep the belt moving with the same velocity will be :

A
1.25 W
B
2.5 W
C
6.25 W
D
12.5 W
3
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
$$\frac{v}{\sqrt{2}}$$
4
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
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