AP EAMCET · PHYSICS · Center of Mass Momentum and Collision
A block of mass 10 kg moving with a speed of \(5 \hat{\mathrm{i}} \mathrm{m} \mathrm{s}^{-1}\) on a frictionless horizontal surface suddenly explodes into two pieces. If one piece with mass 4 kg moves with a speed of \(10 \hat{\mathrm{i}} \mathrm{m} \mathrm{s}^{-1}\), then the velocity of the second piece is
- A \(7.67 \mathrm{~m} \mathrm{~s}^{-1}\)
- B \(1.67 \mathrm{~m} \mathrm{~s}^{-1}\)
- C \(6.67 \mathrm{~m} \mathrm{~s}^{-1}\)
- D \(2.67 \mathrm{~m} \mathrm{~s}^{-1}\)
Answer & Solution
Correct Answer
(B) \(1.67 \mathrm{~m} \mathrm{~s}^{-1}\)
Step-by-step Solution
Detailed explanation
\(M V = m_1 v_1 + m_2 v_2\) \((10)(5 \hat{\mathrm{i}}) = (4)(10 \hat{\mathrm{i}}) + (10-4)v_2\) \(50 \hat{\mathrm{i}} = 40 \hat{\mathrm{i}} + 6v_2\) \(v_2 = \frac{(50-40)\hat{\mathrm{i}}}{6} = \frac{10}{6}\hat{\mathrm{i}} = 1.67 \hat{\mathrm{i}} \mathrm{~m} \mathrm{~s}^{-1}\)…
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
- If only \(\frac{I^{\text {th }}}{51}\) of the main current is to be passed through a galvanometer then the shunt required is \(R_1\) and if only \(\frac{1^{\text {th }}}{11}\) of the main voltage is to be developed across the galvanometer, then the resistance required \(R_2\). Then \(\frac{R_2}{R_1}\)AP EAMCET 2019 Medium
- According to zeroth law of thermodynamics, the physical quantity which is same for two bodies in thermal equilibrium isAP EAMCET 2025 Easy
- The heights of tansmitting and receiving antennas are respectively \(\frac{1}{20000}\) and \(\frac{1}{80000}\) times the radius of the earth. The maximum distance between these two antennas for satisfactory communication in line of sight mode is (Radius of the earth \(=6.4 \times 10^6 \mathrm{~m}\) )AP EAMCET 2025 Medium
- Two radioactive materials \(\mathrm{Y}_1\) and \(\mathrm{Y}_2\) initially contain same number of nuclei. Their decay constants are \(9 \lambda \mathrm{s}^{-1}\) and \(6 \lambda \mathrm{s}^{-1}\) respectively. The time after which the ratio of number of undecayed nuclei of \(\mathrm{Y}_1\) and \(\mathrm{Y}_2\) becomes \(\frac{1}{e}\) isAP EAMCET 2017 Hard
- In Young's double slit experiment, an interference pattern is obtained on a screen by a light of wavelength \(6000 Ã…\) coming from the coherent sources \(S_1\) and \(S_2\). At certain point \(P\) on the screen third dark fringe is formed. Then, the path difference \(S_1 P-S_2 P\) in microns is:AP EAMCET 2003 Medium
- A heavy nucleus having mass number 200 gets disintegrated into two small fragments of mass numbers 80 and 120. If binding energy per nucleon for parent atom is \(6.5 \mathrm{MeV}\) and for daughter nuclii is \(7 \mathrm{MeV}\) and \(8 \mathrm{MeV}\) respectively, then the energy released in the decay will beAP EAMCET 2017 Easy
More PYQs from AP EAMCET
- Identify the molecule for which the enthalpy of atomization \(\left(\Delta_{\mathrm{a}} \mathrm{H}^{-}\right)\)and bond dissociation enthalpy \(\left(\Delta_{\mathrm{BOND}} \mathrm{H}^{-}\right)\)are not equal)AP EAMCET 2024 Medium
- Two die are rolled. If \(\mathrm{A}\) denote the event that the same number shows on each die and B denote the event that the sum of the numbers on both dice is greater than 7, then \(\mathrm{P}(\mathrm{A} \mid \mathrm{B})\) and \(\mathrm{P}(\mathrm{B} \mid \mathrm{A})\) respectively areAP EAMCET 2023 Medium
- The minimum distance of a point on the curve \(y=x^2-4\) from the origin isAP EAMCET 2022 Easy
- If \(y^2=a x^2+2 x+c\), then \(y^3 \frac{d^2 y}{d x^2}\) isAP EAMCET 2018 Easy
- The rate constant of a first order reaction at \(27^{\circ} \mathrm{C}\) is \(10^{-3} \mathrm{~min}^{-1}\). The temperature coefficient of this reaction is 2 . What is the rate constant (in \(\mathrm{min}^{-1}\) ) at \(17^{\circ} \mathrm{C}\) for this reaction?AP EAMCET 2017 Easy
- Which of the following statement is correct regarding \(p-V\) graph?
1. Slope of \(p-V\) graph in an isothermal process is \(-\frac{p}{V}\).
2. Slope of \(p-V\) graph in an adiabatic process is \(-\frac{p}{V}\).
3. Slope of \(p-V\) graph in an isochoric process is \(-\frac{\gamma p}{V}\).
4. Slope of \(p-V\) graph in an isobaric process is zero.AP EAMCET 2019 Easy