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TS EAMCET · Physics · Laws of Motion

A \(4 \mathrm{~kg}\) object has a velocity, \(3.0 \hat{\mathrm{i}} \mathrm{m} / \mathrm{s}\) at some instant. Eights seconds later, its velocity is \((8.0 \hat{\mathbf{i}}+10.0 \hat{\mathbf{j}}) \mathrm{m} / \mathrm{s}\). Assuming that the object is subjected to a constant net force, the magnitude of the force is

  1. A \(\frac{5 \sqrt{5}}{2} \mathrm{~N}\)
  2. B \(\frac{5 \sqrt{3}}{8} \mathrm{~N}\)
  3. C \(\frac{8 \sqrt{5}}{3} \mathrm{~N}\)
  4. D \(\frac{10 \sqrt{3}}{7} \mathrm{~N}\)
Verified Solution

Answer & Solution

Correct Answer

(A) \(\frac{5 \sqrt{5}}{2} \mathrm{~N}\)

Step-by-step Solution

Detailed explanation

Given, mass of an object, \(m=4 \mathrm{~kg}, \mathrm{u}=3 \mathrm{im} / \mathrm{s}\) \(\mathbf{v}=(8 \hat{\mathbf{i}}+10 \hat{\mathrm{j}}) \mathrm{m} / \mathrm{s}\) and time \(t=8 \mathrm{~s}\) As we know, equation of the motion…
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