JEE Mains · Physics · STD 11 - 4.1 newtons laws of motion
The position vector of a particle related to time \(t\) is given by \(\overrightarrow{ r }=\left(10 t \hat{ i }+15 t ^2 \hat{ j }+7 \hat{ k }\right) m\) The direction of net force experienced by the particle is
- A Positive \(y\)-axis
- B Positive \(x\)-axis
- C Positive \(z-\)axis
- D In \(x-y\) plane
Answer & Solution
Correct Answer
(A) Positive \(y\)-axis
Step-by-step Solution
Detailed explanation
\(\overrightarrow{ r }=10 t \hat{ i }+15 t ^2 \hat{ j }+7 \hat{ k }\) \(\overrightarrow{ v }=10 \hat{ i }+30 t \hat{ j }\) \(\overrightarrow{ a }=30 \hat{ j }\) So Net force is along \(+ y\) direction
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
- The mass of the moon is \(1 / 144\) times the mass of a planet and its diameter \(1 / 16\) times the diameter of a planet. If the escape velocity on the planet is \(\mathrm{v}\), the escape velocity on the moon will be _______.JEE Mains 2024 Hard
- Given below are two statements :
Statement-I : The equivalent emf of two nonideal batteries connected in parallel is smaller than either of the two emfs.
Statement-II : The equivalent internal resistance of two nonideal batteries connected in parallel is smaller than the internal resistance of either of the two batteries.
In the light of the above statements, choose the correct answer from the options given below.JEE Mains 2025 Medium - An object is projected in the air with initial velocity \(u\) at an angle \(\theta\). The projectile motion is such that the horizontal range \(R\), is maximum. Another object is projected in the air with a horizontal range half of the range of first object. The initial velocity remains same in both the case. The value of the angle of projection, at which the second object is projected, will be \(.......\) degree.JEE Mains 2022 Medium
- Match List\(-I\) with List\(-II\)
Question: Choose the correct answer from the options given belowList \(-I\) List \(-II\) \((A)\) Moment of inertia of solid sphere of radius \((R)\) about any tangent \((I)\) \(\frac{5}{3} MR ^{2}\) \((B)\) Moment of inertia of hollow sphere of radius \((R)\) about any tangent \((II)\) \(\frac{7}{5} MR ^{2}\) \((C)\) Moment of inertia of circular ring of radius \((R)\) about its diameter. \((III)\) \(\frac{1}{4} MR ^{2}\) \((D)\) Moment of inertia of circular disc of radius \((R)\) about any diameter. \((IV)\) \(\frac{1}{2} MR ^{2}\) JEE Mains 2022 Medium - A \(2\,mW\) laser operates at a wavelength of \(500\,nm.\) The number of photons that will be emitted per second is [Given Planck’s constant \(h = 6.6 \times 10^{-34}\,Js,\) speed of light \(c = 3.0\times 10^8\,m/s\) ]JEE Mains 2019 Hard
- Match List - \(I\) with List - \(II\).
Choose the correct answer from the options given below :List - \(I\) \((Number)\) List - \(II\) \((Significant figure)\) \((A)\) \(1001\) \((I)\) \(3\) \((B)\) \(010.1\) \((II)\) \(4\) \((C)\) \(100.100\) \((III)\) \(5\) \((D)\) \(0.0010010\) \((IV)\) \(6\) JEE Mains 2024 Hard
More PYQs from JEE Mains
- If \(Y, K\) and \(\eta\) are the values of Young's modulus, bulk modulus and modulus of rigidity of any material respectively. Choose the correct relation for these parameters.JEE Mains 2021 Medium
- A boy needs to select five courses from \(12\) available courses, out of which \(5\) courses are language courses. If he can choose at most two language courses, then the number of ways he can choose five courses isJEE Mains 2023 Medium
- The value of \(\lim _{h \rightarrow 0} 2\left\{\frac{\sqrt{3} \sin \left(\frac{\pi}{6}+h\right)-\cos \left(\frac{\pi}{6}+h\right)}{\sqrt{3} h(\sqrt{3} \cosh -\sinh )}\right\}\) isJEE Mains 2021 Easy
- If the point \(\left(\alpha, \frac{7 \sqrt{3}}{3}\right)\) lies on the curve traced by the mid-points of the line segments of the lines \(x\) \(\cos \theta+ y \sin \theta=7, \theta \in\left(0, \frac{\pi}{2}\right)\) between the coordinates axes, then \(\alpha\) is equal toJEE Mains 2023 Hard
- A die is thrown two times and the sum of the scores appearing on the die is observed to be a multiple of \(4\). Then the conditional probability that the score \(4\) has appeared at least once isJEE Mains 2020 Medium
- The ratio of wavelengths of proton and deuteron accelerated by potential \(V_{p}\) and \(V_{d}\) is 1: \(\sqrt{2}\). Then, the ratio of \(V_{p}\) to \(V_{d}\) will beJEE Mains 2022 Medium