please help me solve it as quickly as possible Physics as Ex

please help me solve it as quickly as possible

Physics as Exam 2 For the figure betow, the that in onb rough in a section of distance \"d\" and keep weta w of elastie constant \"K\". Find the masimum distance the sprinu w compressed. (Assume H 20m, d-sm, 0.4. K- 4000 New) smooth eur d (rough section)

Solution

Here ,

H = 20 m

d = 5 m

uk = 0.40

K = 4000 N/m

let the maximum distance of the spring compressed is x

Using conservation of energy

m * g * H = 0.5 * k * x^2 + us *m * g * d

8 * 9.8 * 20 = 0.5 * 4000 * x^2 + 0.40 * 8 * 9.8 * 5

solving for x

x = 0.84 m

the maximum distance of the spring compressed is 0.84 m