JEE Main 2022 · PhysicsMultiple choiceSingle correctEasyCalculation

JEE Main 25 July 2022, Shift 2, Physics Q47

Question 47 of 90 in this shift, Physics question 17 of 30, Section A.

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 :

(1)4.9 J
(2)9.8 JOfficial answer
(3)14.7 J
(4)19.6 J

Official answer

Option 2

NTA final key.

Chapter: Work, Energy and Power
Topic: Collisions
Idea tested: Inelastic Collisions

Same idea in other shifts

Asked 7× in all

8 Apr 2023, Shift 2 · Q40A 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…MediumSingle correct
10 Apr 2023, Shift 1 · Q40A particle of mass $m$ moving with velocity $v$ collides with a stationary particle of mass $2m$ . After collision, they stick together and…EasySingle correct
8 Jan 2020, Shift 2 · Q3A particle of mass m is dropped from a height h above the ground. At the same time another particle of the same mass is thrown vertically…HardSingle correct
9 Jan 2020, Shift 1 · Q3Two particles of equal mass m have respective initial velocities $u\hat{i}$ and $u\left(\frac{\hat{i}+\hat{j}}{2}\right)$ . They collide…MediumSingle correct
9 Jan 2020, Shift 2 · Q4A particle of mass $m$ is projected with a speed $u$ from the ground at an angle $\theta = \frac{\pi}{3}$ w.r.t. horizontal ( $x$ -axis).…MediumSingle correct
3 Sep 2020, Shift 2 · Q3A block of mass 1.9 kg is at rest at the edge of a table, of height 1 m. A bullet of mass 0.1 kg collides with the block and sticks to it.…MediumSingle correct

Question text from the official JEE Main paper published by NTA; answer from the final answer key. Chapter, topic and idea tags, difficulty and skill are Lumi’s. Lumi analyses 108 of the 174 JEE Main shifts held from 2017 to 2026.