Spring A has a spring constant of 5 N/m and spring B has a force constant of 9 N/m. A weight of 2 kg is applied to spring A and a weight of 10 kg is applied to spring B. Which of the following is true for the final displacements of springs A and B? a) Spring B has a larger displacement than spring A. b) Spring A has a larger displacement than spring B. c) Spring A and spring B have the same displacement.

Option A.

Spring B has a larger displacement that spring A.

Explanation:

Spring B has a larger displacement that spring A .

By using Hooke's law.

F=-Kx

Where F is force, K is spring constant and x is displacement.

For spring a

Weight / force is 2 kg

Spring constant (K) is 5/nm

Therefore,

F=-Kx

2=-5x

X=2/-5

X= -0.4m

For spring B.

Weight is 10Kg

Spring constant is 9N/m

F=-Kx

10=-9x

X=-10/9

=-1.1m

Therefore Spring B have larger displacement than spring A.

In Hooke's law, negative sign that is present on the spring's force indicate that the force exerted by the spring opposes the spring's displacement.

unlike poles attract

i think it would be 5