MHT CET · Physics · Center of Mass Momentum and Collision
A person with machine gun can fire \(50 \mathrm{~g}\) bullets with a velocity of \(240 \mathrm{~m} / \mathrm{s}\). A \(60 \mathrm{~kg}\) tiger moves towards him with a velocity of \(12 \mathrm{~m} / \mathrm{s}\). In order to stop the tiger in track, the number of bullets the person fires towards the tiger is
- A \(50\)
- B \(60\)
- C \(70\)
- D \(80\)
Answer & Solution
Correct Answer
(B) \(60\)
Step-by-step Solution
Detailed explanation
In order to stop the tiger, the momentum of the bullets fired must be equal to the momentum of the tiger.
\( \begin{array}{ll} \therefore \mathrm{MV}=\mathrm{nmv} \\ \therefore \mathrm{n}=\frac{\mathrm{MV}}{\mathrm{mV}}=\frac{60 \times 12}{50 \times 10^{-3} \times 240} \\ \therefore \mathrm{n}=60 \end{array} \)
\( \begin{array}{ll} \therefore \mathrm{MV}=\mathrm{nmv} \\ \therefore \mathrm{n}=\frac{\mathrm{MV}}{\mathrm{mV}}=\frac{60 \times 12}{50 \times 10^{-3} \times 240} \\ \therefore \mathrm{n}=60 \end{array} \)
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
- An electron is projected along the axis of circular conductor carrying current I. Electron will experienceMHT CET 2023 Easy
- A vector \(\vec{A}\) having magnitude 6 units is added to vector \(\overrightarrow{\mathrm{B}}\), which is along \(\mathrm{x}\) -axis. The resultant of \(\vec{A}\) and \(\vec{B}\) is along \(Y\) axis. If the magnitude of the resultant of \(\vec{A}\) and \(\vec{B}\) is three times that of \(\vec{B}\) then magnitude of \(\vec{B}\) isMHT CET 2020 Easy
- A body is situated on the surface of the earth becomes weightless at equator when the rotational kinetic energy of the earth reaches a critical value ' \(K\) '. The value of \(K\) is given by [ \(\mathrm{g}\) = gravitational acceleration on earth's surface, \(M=\) mass of the earth and \(\mathrm{R}=\) radius of the earth]MHT CET 2021 Hard
- If the two waves of same amplitude, having frequencies 340 Hz and 335 Hz , are moving in same direction, then the time interval between two successive maxima formed (in second) isMHT CET 2024 Easy
- Two progressive waves \(\mathrm{Y}_{1}=\sin 2 \pi\left(\frac{\mathrm{t}}{0 \cdot 4}-\frac{\mathrm{x}}{4}\right)\) and \(\mathrm{Y}_{2}=\sin 2 \pi\left(\frac{\mathrm{t}}{0 \cdot 4}+\frac{\mathrm{x}}{4}\right)\) superpose to form a standing wave. \(\mathrm{x}, \mathrm{Y}_{1}\) and \(\mathrm{Y}_{2}\) are in SI system. Amplitude of the particle at \(\mathrm{x}=0.5 \mathrm{~m}\) is \(\left[\sin 45^{\circ}=\cos 45^{\circ}=\frac{1}{\sqrt{2}}\right]\)MHT CET 2020 Medium
- A particle is performing a uniform circular motion along a circular of radius ' \(\mathrm{R}\) '. In half the period of revolution, its displacement and distance covered are respectivelyMHT CET 2021 Hard
More PYQs from MHT CET
- If a ray of light in denser medium strikes a rarer medium at angle of incidence \(i\), the angles of reflection and refraction are \(r\) and \(r^{\prime}\) respectively. If the reflected and refracted rays are at right angles to each other, the critical angle for the given pair of media isMHT CET 2023 Medium
- When an air bubble rises from the bottom of lake to the surface, its radius is doubled. The atmospheric pressure is equal to that of a column of water of height ' \(H\) '. The depth of the lake isMHT CET 2024 Medium
- An ideal gas \((\gamma=1.5)\) is expanded adiabatically. To reduce root mean square velocity of molecules two times, the gas should be expandedMHT CET 2024 Hard
- When three capacitors of equal capacities are connected in parallel and one of the same capacity, capacitor is connected in series with the combination. The resultant capacity is \(4.5 \mu \mathrm{~F}\). The capacity of each capacitor isMHT CET 2024 Easy
- The derivative of \(\cos ^{3} x\) w.r.t. \(\sin ^{3} x\) isMHT CET 2009 Medium
- \(\int \frac{1}{x^{\frac{1}{2}}+x^{\frac{1}{3}}} d x=\)MHT CET 2021 Medium