AP EAMCET · PHYSICS · Work Power Energy
If a body has a potential energy of \(\left(4 x^2+2 x\right) J\) at a height of \(2 \mathrm{~m}\), then the force acting on the body is
- A \(9 \mathrm{~N}\)
- B \(27 \mathrm{~N}\)
- C \(18 \mathrm{~N}\)
- D \(0 \mathrm{~N}\)
Answer & Solution
Correct Answer
(C) \(18 \mathrm{~N}\)
Step-by-step Solution
Detailed explanation
Potential energy, \(U=\left(4 x^2+2 x\right) J\) Force, \(\mathrm{F}=\frac{\mathrm{dU}}{\mathrm{dx}}\) \(\begin{aligned} & F=\frac{d}{d x}\left(4 x^2+2 x\right)=8 x+2 \\ & \text { at } x=82 m \\ & F=18 N\end{aligned}\) The force acting on the body is \(18 \mathrm{~N}\).
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 gas of mass ' \(\mathrm{m}\) ' and molecular weight ' \(\mathrm{M}\) ' is flowing in an insulated tube with a velocity ' \(2 \mathrm{~V}\) '. If the flow of the gas is suddenly stopped and all the kinetic energy is utilized to compress the gas, the increases in the temperature of the gas is ( \(\gamma\) is ratio of specific heats, \(\mathrm{R}\) is universal gas constant)AP EAMCET 2023 Hard
- An object projected upwards from the foot of a tower. The object crosses the top of the tower twice with an interval of 8 s and the object reaches foot after 16 s . The height of the tower is [ \(\mathrm{g}=10 \mathrm{~ms}^{-2}\) ]AP EAMCET 2024 Easy
- A wire loop of irregular shape carrying current is placed in an external magnetic field. If the wire is flexible, the shape of the loop changes toAP EAMCET 2023 Easy
- Blue colour of the sky is due toAP EAMCET 2023 Easy
- The molecular motion ceases atAP EAMCET 2020 Easy
- A vessel contains 3 moles of \(\mathrm{He}, 1\) mole of Ar, 5 moles of \(\mathrm{N}_2\) and 3 moles of \(\mathrm{H}_2\). If the vibrational modes are ignored, the total internal energy of the system of gases isAP EAMCET 2022 Easy
More PYQs from AP EAMCET
- Which one of the following is most effective in causing the coagulation of an \(\mathrm{As}_2 \mathrm{~S}_3\) sol?AP EAMCET 2009 Easy
- Let \(f: R \rightarrow R\) be defined by
\(f(x)=\left\{\begin{array}{ccc}\alpha+\frac{\sin [x]}{x}, & \text { if } & x>0 \\ 2, & \text { if } & x=0 \\ \beta+\left[\frac{\sin x-x}{x^3}\right], & \text { if } & x < 0\end{array}\right.\)
equal toAP EAMCET 2012 Easy - How many asymmetric carbons are present in the following molecule?
\[
\mathrm{HOH}_2 \mathrm{CCH}(\mathrm{Br}) \mathrm{CH}(\mathrm{Br}) \mathrm{CH}_2 \mathrm{OH}
\]AP EAMCET 2023 Easy - If \(f: R \rightarrow R, g: R \rightarrow \mathrm{R}\) are defined by \(f(x)=5 x-3, g(x)\) \(=x^2+3\), then \(g \circ f^{-1}(3)\) is equal toAP EAMCET 2015 Medium
- If the direction cosines of two lines satisfy the equations \(l-2 \mathrm{~m}+\mathrm{n}=0\), \(l \mathrm{~m}+10 \mathrm{mn}-2 \mathrm{n} l=0\) and \(\theta\) is the angle between the lines, then \(\cos \theta=\)AP EAMCET 2025 Medium
- The numerically greatest term in the binomial expansion of \((2 a-3 b)^{19}\) when \(a=\frac{1}{4}\) and \(b=\frac{2}{3}\) isAP EAMCET 2018 Easy