JEE Mains · Physics · STD 11 - 4.1 newtons laws of motion
A body of mass \(4 \mathrm{~kg}\) experiences two forces \(\overrightarrow{\mathrm{F}}_1=5 \hat{\mathrm{i}}+8 \hat{\mathrm{j}}+7 \hat{\mathrm{k}}\) and \(\overrightarrow{\mathrm{F}}_2=3 \hat{\mathrm{i}}-4 \hat{\mathrm{j}}-3 \hat{\mathrm{k}}\). The acceleration acting on the body is _______.
- A \(-2 \hat{i}-\hat{j}-\hat{k}\)
- B \(4 \hat{i}+2 \hat{j}+2 \hat{k}\)
- C \(2 \hat{i}+\hat{j}+\hat{k}\)
- D \(2 \hat{\mathrm{i}}+3 \hat{\mathrm{j}}+3 \hat{\mathrm{k}}\)
Answer & Solution
Correct Answer
(C) \(2 \hat{i}+\hat{j}+\hat{k}\)
Step-by-step Solution
Detailed explanation
\(\text { Net force }=8 \hat{i}+4 \hat{j}+4 \hat{k}\) \(\vec{a}=\frac{\vec{F}}{m}=2 \hat{i}+\hat{j}+\hat{k}\)
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 faulty thermometer reads \(5^{\circ} C\) in melting ice and \(95^{\circ} C\) in steam. The correct temperature on absolute scale will be. \(.........K\) when the faulty thermometer reads \(41^{\circ} C\).JEE Mains 2023 Medium
- A point source of light \(S\), placed at a distance \(60 \,cm\) infront of the centre of a plane mirror of width \(50 \,cm\), hangs vertically on a wall. A man walks infront of the mirror along a line parallel to the mirror at a distance \(1.2\, m\) from it (see in the \(figure\)). The distance between the extreme points where he can see the image of the light source in the mirror is \(\ldots \ldots \ldots\, cm.\)
JEE Mains 2021 Hard - A square loop \(\mathrm{PQRS}\) having \(10\) turns, area \(3.6 \times\) \(10^{-3} \mathrm{~m}^2\) and resistance \(100 \Omega\) is slowly and uniformly being pulled out of a uniform magnetic field of magnitude \(\mathrm{B}=0.5 \mathrm{~T}\) as shown. Work done in pulling the loop out of the field in \(1.0 \mathrm{~s}\) is _______ \(\times 10^{-6} \mathrm{~J}\).
JEE Mains 2024 Hard - Two vectors \(\vec A\) and \(\vec B\) have equal magnitudes. The magnitude of \((\vec A + \vec B)\) is \(‘n’\) times the magnitude of \((\vec A - \vec B)\). The angle between \( \vec A\) and \(\vec B\) isJEE Mains 2021 Hard
- In a photoelectric effect experiment a light of frequency \(1.5\) times the threshold frequency is made to fall on the surface of photosensitive material. Now if the frequency is halved and intensity is doubled, the number of photo electrons emitted will be _______.JEE Mains 2024 Hard
- In the given circuit, the terminal potential difference of the cell is _______.
JEE Mains 2024 Hard
More PYQs from JEE Mains
- Considering the principal values of inverse trigonometric functions, the value of the expression \(\tan\left(2 \sin^{-1}\left(\frac{2}{\sqrt{13}}\right)-2 \cos^{-1}\left(\frac{3}{\sqrt{10}}\right)\right)\) is equal to:JEE Mains 2026 Medium
- The time period of a simple harmonic oscillator is \(T =2 \pi \sqrt{\frac{ k }{ m }}\). The measured value of mass (m) of the object is 10 g with an accuracy of 10 mg , and time for 50 oscillations of the spring is found to be 60 s using a watch of 2 s resolution. Percentage error in determination of spring constant( \(k\) ) is ___________ %.JEE Mains 2026 Medium
- If the sum \(\frac{3}{1^2} + \frac{5}{{{1^2} + {2^2}}} + \frac{7}{{{1^2} + {2^2} + {3^2}}} + ...... + \) up to \(20\) terms is equal to \(\frac{k}{{21}}\), then \(k\) is equal toJEE Mains 2014 Hard
- The remainder when \(19^{200}+23^{200}\) is divided by \(49\) , is \(.........\).JEE Mains 2023 Hard
- Let \(\left\{a_{n}\right\}_{n-1}^{\infty}\) be a sequence such that \(a_{1}=1, a_{2}=1\) and \(a_{n+2}=2 a_{n+1}+a_{n}\) for all \(n \geq 1 .\) Then tha value of \(47 \sum_{n=1}^{\infty} \frac{a_{n}}{2^{3 n}}\) is equal to \(.....\)JEE Mains 2021 Hard
- A sonometer wire of length \(114\, cm\) is fixed at both the ends. Where should the two bridges be placed so as to divide the wire into three segments whose fundamental frequencies are in the ratio \(1 : 3 : 4\) ?JEE Mains 2013 Hard