Ask Question
7 December, 13:54

A force F = (cx-3.00x2) i acts on a particle as the particle moves along an x axis, with F in newtons, x in meters, and c a constant. At x = 0 m, the particle's kinetic energy is 18 J; at x = 5 m, it is 12 J. Find c.

+1
Answers (1)
  1. 7 December, 14:01
    0
    The value of c is 9.52

    Explanation:

    Given;

    force F = (cx-3x²) i which act on the particle through a distance x

    The kinetic of the particle = Fdx

    given Kinetic energy as 18 J

    KE = ∫Fdx

    KE = ∫ (cx-3x²) dx

    KE = ¹/₂cx² - ¹/₃ (3x³) + k

    KE = ¹/₂cx² - x³ + k

    where, k is the constant of integration

    Given at x = 0 m, KE = 18 J, substitute in this in the integral equation

    18 = ¹/₂c (0) ² - (0) ³ + k

    k = 18

    Also, Given at x = 5 m, KE = 12 J substitute in this as well in the integral equation;

    12 = ¹/₂c (5) ² - (5) ³ + 18

    12 = 12.5c - 125 + 18

    12.5c = 12 + 125 - 18

    12.5c = 119

    c = 119/12.5

    c = 9.52
Know the Answer?
Not Sure About the Answer?
Find an answer to your question 👍 “A force F = (cx-3.00x2) i acts on a particle as the particle moves along an x axis, with F in newtons, x in meters, and c a constant. At x ...” in 📗 Physics if the answers seem to be not correct or there’s no answer. Try a smart search to find answers to similar questions.
Search for Other Answers