Answer:
W = 9.604 J
Explanation:
Given data:
Function of force with respect to displacement (x) as:
F = F₀(x/x₀ - 1)
F₀ = 0.98 N
x₀ = 4.9 m
on substituting the values in the given function, we get
F = 0.98 × [(x/4.9) - 1]
Now, the work done is given as:
W = F . dx
substituting the value of force, we have
W = 0.98 × [(x/4.9) - 1] . dx
on integerating the above formula for the limit x = 0 to x = 2x₀ = 2 × 4.9 = 9.8 m
we get
W =
or
W =
or
W = 0.98 × [(9.8²/4.9 - 9.8) - 0]
or
W = 9.604 J