An undeformed spring has a length of 10 cm.A ball weighing 500 g was suspended

An undeformed spring has a length of 10 cm.A ball weighing 500 g was suspended at its end, determine what the length of the spring will be if the spring rate is 10 N / m

Initial data: l1 (length of the undeformed spring) = 10 cm (0.1 m); m (mass of the ball suspended from the spring) = 500 g (0.5 kg); k (spring rate) = 10 N / m.

Reference data: according to the condition g (acceleration of gravity) = 10 N / kg.

1) Let’s calculate the amount of spring deformation: F = Fel .: m * g = k * Δl, whence Δl = m * g / k = 0.5 * 10/10 = 0.5 m.

2) Determine the resulting length of the spring: l = l1 + Δl = 0.1 + 0.5 = 0.6 m.

Answer: After deformation, the length of the spring will be 0.6 m (60 cm).