ExamBro
ExamBro
AP EAMCET · PHYSICS · Laws of Motion

A force of \((2.6 \hat{\mathbf{i}}+1.6 \hat{\mathbf{j}}) \mathrm{N}\) acts on a body of mass \(2 \mathrm{~kg}\). If the velocity of the body at time, \(t=0\) is \((3.6 \hat{\mathbf{i}}-4.8 \hat{\mathbf{j}}) \mathrm{ms}^{-1}\), the time at which the body will just have a velocity along \(x\)-axis only is

  1. A 1 s
  2. B 2 s
  3. C 3 s
  4. D 6 s
Verified Solution

Answer & Solution

Correct Answer

(D) 6 s

Step-by-step Solution

Detailed explanation

Given, force acts on a body, \[ \mathbf{F}=(2.6 \hat{\mathbf{i}}+1.6 \hat{\mathbf{j}}) \mathrm{N} \] mass of a body, \(m=2 \mathrm{~kg}\) At \(t=0\), velocity of the body, \(v=(3.6 \hat{\mathbf{i}}-4.8 \hat{\mathbf{j}}) \mathrm{m} / \mathrm{s}\) We know that, Force \(=\) Mass…