A spring balance has a scale that reads from 0 to 50kg. The length of the scale is 20cm. A body suspended from this spring, when displaced and released, oscillates with period of 0.60s. What is the weight of the body?

Explanation

m = 50kg x = 20 cm, = 0.20 m, M = ?
g = 9.8 m `s^(-2)`
T = 0.60 s
`h = F//y = 50 xx 9.8//0.2 = 2450` N
`T = 2pisqrt((M)/(k))`
`M = (T^(2)k)/(4pi^(2))`
` = (0.60)(^(2) xx 2450)/(4 xx (3.14)^(2)) = 22.36` Kg
Weight of the body `= 22.36 xx 9.8 = 219.16` N.