TS EAMCET · Physics · Work Power Energy
A body of mass \(2.4 \mathrm{~kg}\) is subjected to a force which varies with distance as shown in figure. The body starts from rest at \(x=0\). Its velocity at \(x=9 \mathrm{~m}\) is
- A \(5 \sqrt{3} \mathrm{~m} / \mathrm{s}\)
- B \(20 \sqrt{3} \mathrm{~m} / \mathrm{s}\)
- C \(10 \mathrm{~m} / \mathrm{s}\)
- D \(40 \mathrm{~m} / \mathrm{s}\)
Answer & Solution
Correct Answer
(C) \(10 \mathrm{~m} / \mathrm{s}\)
Step-by-step Solution
Detailed explanation
Work done in a moving body is get converted into kinetic energy. \( \begin{aligned} & \therefore & \int F d x & =\frac{1}{2} m\left(v^2-0^2\right) \\ & \Rightarrow & \frac{1}{2}(9+3)(20) & =\frac{1}{2}(2.4) v^2 \\ & \Rightarrow & V & =10 \mathrm{~m} / \mathrm{s} \end{aligned} \)
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 carrier signal of frequency and peak voltage of is modulated by a message signal of frequency and peak voltage of . Let be the modulation index and be side bands produced. The correct statement isTS EAMCET 2020 Easy
- The electric field due to an infinitely long thin straight wire with uniform linear charge density of \(2.5 \times 10^{-7} \mathrm{Cm}^{-1}\) at a radial distance of \(x\) from the wire is \(7.5 \times 10^4 \mathrm{NC}^{-1}\). Then \(x=\)TS EAMCET 2025 Easy
- Two sound waves each of intensity I are superimposed. If the phase difference between the waves is \(\frac{\pi}{2}\), then the intensity of the resultant wave isTS EAMCET 2025 Medium
- A solenoid has a core of a material with relative permeability \(\frac{800}{\pi}\). The windings of the solenoid are insulated from the core and carry current of \(2 \mathrm{~A}\). If the number of turns is 1000 per metre, find the magnetic field \(B\).TS EAMCET 2020 Easy
- Find the component of vector along the direction of vectorTS EAMCET 2021 Medium
- With a standard rectangular bar magnet of length (l), breadth \((b ; b< < l)\) and magnetic moment \(M\), the time period of the magnet in a vibration magnetometer is \(4 \mathrm{~s}\). If the magnet is cut normal to its length into four equal pieces, the time period (in seconds) with one of the pieces isTS EAMCET 2005 Medium
More PYQs from TS EAMCET
- Particle A (which was located at the origin at time \(t=0\) ) is moving along the \(\mathrm{x}\)-axis with a constant speed of \(1 \mathrm{~m} / \mathrm{s}\). Location of particle \(\mathrm{B}\) which is moving along the \(\mathrm{y}\)-axis is given by \(\mathrm{y}=\mathrm{ct}^2\), where \(\mathrm{c}=1 \mathrm{~m} / \mathrm{s}^2\). Find the speed of particle A relative to particle \(\mathrm{B}\) at \(\mathrm{t}=1 \mathrm{sec}\).TS EAMCET 2022 Easy
- Which of the following phenomena produces the colour in soap bubble?TS EAMCET 2020 Easy
- A rectangular loop of wire is placed in the \(X Y\)-plane with its side of length \(3 \mathrm{~cm}\) parallel to the \(X\)-axis and the side of length \(4 \mathrm{~cm}\) parallel to the \(Y\)-axis. It is moving in the positive \(X\)-direction with the speed \(10 \mathrm{~cm} / \mathrm{s}\). A magnetic field exists in the space with its direction parallel to the \(Z\)-axis. The field decreases by \(2 \times 10^{-3} \mathrm{~T} / \mathrm{cm}\) along the positive \(X\)-axis and increases in time by \(2 \times 10^{-2} \mathrm{~T} / \mathrm{s}\). The induced emf in the wire isTS EAMCET 2018 Medium
- The following figure shows a battery and uncharged capacitors of capacitances . The switch is thrown to the right side until capacitor is fully charged, then the switch is thrown to the left. The final charge on capacitor is
TS EAMCET 2022 Easy - Two charged particles of mass 1 gm each are placed 1m apart. If each of these possesses 1 femto coulomb of charge, then the dominant force of interaction between them isTS EAMCET 2022 Easy
- Charges \(Q\) are placed at the ends of a diagonal of a square and charges \(q\) are placed at the other two corners. The condition for the net electric force on \(Q\) to be zero isTS EAMCET 2015 Easy