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JEE Mains · Physics · STD 11 - 5. work,energy,power and collision

એક બળ \(\left(3 x^2+2 x-5\right) N\) એક પદાર્થને \(\mathrm{x}=2 \mathrm{~m}\) થી \(\mathrm{x}=4 \mathrm{~m}\) સુધી સ્થાનાંતરિત કરે છે. આ બળ દ્વારા થયેલું કાર્ય _______ J છે.

  1. A \(58\)
  2. B \(59\)
  3. C \(60\)
  4. D \(61\)
Verified Solution

Answer & Solution

Correct Answer

(A) \(58\)

Step-by-step Solution

Detailed explanation

\(\mathrm{W}=\int_{\mathrm{x}_1}^{\mathrm{x}_2} \mathrm{Fdx}\) \(\mathrm{W}=\int_2^4\left(3 \mathrm{x}^2+2 \mathrm{x}-5\right) \mathrm{dx}\) \(\mathrm{W}=\left[\mathrm{x}^3+\mathrm{x}^2-5 \mathrm{x}\right]_2^4\) \(\mathrm{~W}=[60-2] \mathrm{J}=58 \mathrm{~J}\)
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