A mass hangs from a spring system fixed to the ceiling

PHYSICS · Single correct · CBSE · Physics · Oscillations · Oscillations

Problem

4.0\,\text{kg}

mass hangs from a spring system fixed to the ceiling. Springs with constants

k_1 = 100\,\text{N/m}

and

k_2 = 200\,\text{N/m}

are connected in series, and this series combination is arranged in parallel with a third spring of constant

k_3 = 150\,\text{N/m}

. After the mass is released and the system reaches static equilibrium, what is the magnitude of the force exerted by spring

k_1

? (Use

g = 9.8\,\text{m/s}^2

.) (a)

3.9 \times 10^{1}\,\text{N}

(b)

2.7 \times 10^{1}\,\text{N}

(c)

1.2 \times 10^{1}\,\text{N}

(d)

1.8 \times 10^{1}\,\text{N}