1
JEE Main 2023 (Online) 30th January Evening Shift
+4
-1
A machine gun of mass $10 \mathrm{~kg}$ fires $20 \mathrm{~g}$ bullets at the rate of 180 bullets per minute with a speed of $100 \mathrm{~m} \mathrm{~s}^{-1}$ each. The recoil velocity of the gun is
A
$0.02 \mathrm{~m} / \mathrm{s}$
B
$1.5 \mathrm{~m} / \mathrm{s}$
C
$2.5 \mathrm{~m} / \mathrm{s}$
D
$0.6 \mathrm{~m} / \mathrm{s}$
2
JEE Main 2023 (Online) 30th January Morning Shift
+4
-1

As per the given figure, a small ball P slides down the quadrant of a circle and hits the other ball Q of equal mass which is initially at rest. Neglecting the effect of friction and assume the collision to be elastic, the velocity of ball Q after collision will be :

(g = 10 m/s2)

A
0.25 m/s
B
4 m/s
C
0
D
2 m/s
3
JEE Main 2023 (Online) 30th January Morning Shift
+4
-1

The figure represents the momentum time ($$\mathrm{p}-\mathrm{t}$$) curve for a particle moving along an axis under the influence of the force. Identify the regions on the graph where the magnitude of the force is maximum and minimum respectively?

If $$\left(t_{3}-t_{2}\right) < t_{1}$$

A
b and c
B
c and a
C
a and b
D
c and b
4
JEE Main 2023 (Online) 30th January Morning Shift
+4
-1

A ball of mass $$200 \mathrm{~g}$$ rests on a vertical post of height $$20 \mathrm{~m}$$. A bullet of mass $$10 \mathrm{~g}$$, travelling in horizontal direction, hits the centre of the ball. After collision both travels independently. The ball hits the ground at a distance $$30 \mathrm{~m}$$ and the bullet at a distance of $$120 \mathrm{~m}$$ from the foot of the post. The value of initial velocity of the bullet will be (if $$g=10 \mathrm{~m} / \mathrm{s}^{2}$$) :

A
120 m/s
B
360 m/s
C
400 m/s
D
60 m/s
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