Answer:
To calculate the work done by a force, we can use the formula:
Work = ∫F dx
In this case, the force is given by Fx = (2x + 7) N, and the particle moves along the X-axis from X1 = 1 m to X2 = 5 m. Let's calculate the work done.
Work = ∫(2x + 7) dx
Integrating the function (2x + 7) with respect to x, we get:
Work = (x^2 + 7x) evaluated from X1 to X2
Plugging in the values X2 = 5 and X1 = 1 into the expression, we have:
Work = (5^2 + 7 * 5) - (1^2 + 7 * 1)
= (25 + 35) - (1 + 7)
= 60 - 8
= 52
Therefore, the work done by the force is 52 Joules (J).
Step-by-step explanation: