A weight of 1 kg falls on the spring balance from a height of 10 cm. The maximum compression

A weight of 1 kg falls on the spring balance from a height of 10 cm. The maximum compression of the spring is Xmax = 1 cm. From what height should this weight fall in order for the maximum compression to double?

Given: m (weight of the cargo) = 1 kg; h1 (initial height) = 10 cm; h2 (desired height) = 2h1.

m * g * h1 = k * Δx1 ^ 2/2 and m * g / 2k = Δx1 ^ 2 / h1.

m * g * h2 = k * Δx2 ^ 2/2 and m * g / 2k = Δx2 ^ 2 / h2.

Δx1 ^ 2 / h1 = Δx2 ^ 2 / h2.

Δx1 ^ 2 / h1 = Δ4×1 ^ 2 / h2 and h2 = 4 * h1 = 4 * 10 = 40 cm.