TS EAMCET · Physics · Center of Mass Momentum and Collision
A \(750 \mathrm{~kg}\) boat is \(10 \mathrm{~m}\) long and is floating without motion on still water. A man of mass \(80 \mathrm{~kg}\) is at one end and if he runs to another end of the boat and stops, the displacement of boat is
- A 1.8 m in the direction of displacement of man
- B 0.96 m in the direction of opposite to the displacement of man
- C 0.96 m in the direction of displacement of the man
- D 1.8 m in the direction opposite to displacement of man
Answer & Solution
Correct Answer
(B) 0.96 m in the direction of opposite to the displacement of man
Step-by-step Solution
Detailed explanation
Mass of boat, \(M=750 \mathrm{~kg}\) Mass of man, \(m=80 \mathrm{~kg}\) Length, \(L=10 \mathrm{~m}\) Let \(C\) be the centre of mass of boat-man system when mass was at point \(A\). When man reaches at point \(B\). Let the boat displaces by \(x\) distance in opposite to…
See the Complete Solution
Get step-by-step explanations for this and 2.5 Lakh+ more JEE, NEET & CET questions.
- Unlock all solutions
- Practice the full chapter
- Track accuracy across PYQs
4.8 rated on Google Play · 14,000+ reviews
More questions from Physics
- A particle executes simple harmonic motion according to the equation \(x(t)=A \sin ^2(\alpha t)\). If the time period of the SHM is \(0.2 \mathrm{~s}\), then the value of \(\alpha\) (in units of \(\mathrm{rad} / \mathrm{s}\) ) isTS EAMCET 2021 Easy
- The temperature of \(100 \mathrm{~g}\) of water is to be raised from \(24^{\circ} \mathrm{C}\) to \(90^{\circ} \mathrm{C}\) by adding steam at \(100^{\circ} \mathrm{C}\) to it. The mass of the steam required in this process is (latent heat of steam is \(540 \mathrm{cal} \mathrm{g}^{-1}\) )TS EAMCET 2023 Easy
- In the circuit shown below, the ammeter reading is zero. Then the value of the resistance \(R\) is
TS EAMCET 2011 Medium - Half-life of radioactive sample is \(24 \mathrm{~h}\). If a newly prepared radioactive sample shows 4 times the allowed and safe value of radio activity, the minimum time after which one can work safely with the source isTS EAMCET 2020 Easy
- The length of a pendulum is measured as \(1.01 \mathrm{~m}\) and time for 30 oscillations is measured as one minute \(3 \mathrm{~s}\). Error length is \(0.01 \mathrm{~m}\) and error in time is \(3 \mathrm{~s}\). The percentage error in the measurement of acceleration due to gravity isTS EAMCET 2012 Easy
- Two identical piano wires have a fundamental frequency of 600 cycle per second when kept under the same tension. What fractional increase in the tension of one wires will lead to the occurrence of 6 beats per second when both wires vibrate simultaneously?TS EAMCET 2009 Medium
More PYQs from TS EAMCET
- A current of \(1 \mathrm{~A}\) is flowing along the sides of an equilateral triangle of side \(4.5 \times 10^{-2} \mathrm{~m}\). The magnetic field at the centroid of the triangle is \(\left(\mu_0=4 \pi \times 10^{-7} \mathrm{H} / \mathrm{m}\right)\)TS EAMCET 2016 Medium
- A solenoid of 1000 turns per metre has a core of material with relative permeability 400. The windings of the solenoid are insulated from the core and a current of 2 A is passed through the solenoid. Then the value of the magnetic intensity inside the solenoid isTS EAMCET 2025 Medium
- For an amplitude modulated wave, the maximum and minimum amplitudes are found to be 10 V and 2 V respectively. Then the modulation index isTS EAMCET 2024 Easy
- In a tensile test on a metal bar of diameter \(0.015 \mathrm{~m}\) and length \(0.2 \mathrm{~m}\), the relation between the load and elongation within the proportional limit is found to be \(F=97.2 \times 10^6(\Delta L)\), where \(F\) is the load (in N) and \(\Delta L\) is the elongation (in \(\mathrm{m}\) ). The Young's modulus of the material in GPa isTS EAMCET 2018 Easy
- A point moves in the \(x y\)-plane according to the following equation, \(x=a \sin \omega t\), \(y=a(1-\cos \omega t)\), where \(a\) and \(\omega\) are positive constants. Find the angle between the point's velocity and acceleration vectors.TS EAMCET 2020 Medium
- Two buses \(A\) and \(B\) are moving in opposite direction. Now if the first bus \(A\) moves towards east with a speed of \(36 \mathrm{~km} / \mathrm{h}\) and bus \(B\) moves towards west with a speed of \(18 \mathrm{~km} / \mathrm{h}\), then the bus \(B\) appears to bus \(A\) asTS EAMCET 2020 Easy