1
JEE Main 2023 (Online) 10th April Morning Shift
+4
-1 A particle of mass m moving with velocity v collides with a stationary particle of mass 2m. After collision, they stick together and continue to move together with velocity

A
$$v$$
B
$$\frac{v}{3}$$
C
$$\frac{v}{4}$$
D
$$\frac{v}{2}$$
2
JEE Main 2023 (Online) 31st January Morning Shift
+4
-1 100 balls each of mass $$\mathrm{m}$$ moving with speed $$v$$ simultaneously strike a wall normally and reflected back with same speed, in time $$\mathrm{t ~s}$$. The total force exerted by the balls on the wall is

A
$$\frac{200 m v}{t}$$
B
$$\frac{100 m v}{t}$$
C
$$\frac{m v}{100 t}$$
D
$$200 m v t$$
3
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
$0.6 \mathrm{~m} / \mathrm{s}$
4
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
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