Physics · 2023
JEE Main · 30 January 2023, Shift 1 · Q3
A ball of mass 200 g rests on a vertical post of height 20 m. A bullet of mass 10 g, travelling in horizontal direction, hits the centre of the ball.…
A ball of mass $\displaystyle 200$ g rests on a vertical post of height $\displaystyle 20$ m. A bullet of mass $\displaystyle 10$ g, travelling in horizontal direction, hits the centre of the ball. After collision both travels independently. The ball hits the ground at a distance $\displaystyle 30$ m and the bullet at a distance of $\displaystyle 120$ m from the foot of the post. The value of initial velocity of the bullet will be (if $\displaystyle \mathrm{g}=10 \mathrm{~m} / \mathrm{s}^2$ ):
Official answer
From NTA’s final answer key for this paper.
(2)
$\displaystyle 360 \mathrm{~m} / \mathrm{s}$
More from Centre of Mass and Collisions
- Consider a circular disc of radius 20 cm with centre located at the origin. A circular hole of radius 5 cm is cut from this disc in such a way that…2025
- An artillery piece of mass M_1 fires a shell of mass M_2 horizontally. Instantaneously after the firing, the ratio of kinetic energy of the artillery…2024
- A ball is dropped from a height of 20 m. If the coefficient of restitution for the collision between ball and floor is 0.5, after hitting the floor,…2023
- The identical spheres each of mass 2 M are placed at the corners of a right angled triangle with mutually perpendicular sides equal to 4 m each.…2024
- Given below are two statements. One is labelled as Assertion and the other is labelled as Reason (R). Assertion: Three identical spheres of same mass…2025
- A body of mass 1 kg collides head on elastically with a stationary body of mass 3kg. After collision, the smaller body reverses its direction of…2023
- Two identical bodies A and B of equal masses have initial velocities v_1=4 i m / s and v_2=4 j m / s respectively. The body A has acceleration a_1=6…2026
- A bullet of mass 0.1 kg moving horizontally with speed 400 ms^-1 hits a wooden block of mass 3.9 kg kept on a horizontal rough surface. The bullet…2023
JEE Main 2023 Physics question, with the answer from NTA’s final answer key. Where our answers come from.