Question

An unstretched spring hangs from the ceiling with a length of 0.89 m. A 6.3 kg mass is applied and the spring stretches to 1.10 m long. How long will the spring be if a 3.7 kg mass is applied?

a) 0.93 m

b) 0.96

c) 1.01 m

d) 1.05 m

Please show work

Answer 1

Here,

let the spring constant is k

for balancing the forces when 6.3 Kg

6.3 * 9.8 - k * (1.1 - 0.89) = 0

k = 294 N/m

Now, when 3.7 Kg mass is applied

3.7 * 9.8 - 294 * (x - 0.89) = 0

solving for x

x = 1.01 m

the length of the spring is c) 1.01 m