A common technique used to measure the
force constant k of a spring is the following:
Hang the spring vertically, then allow a
mass m to stretch it a distance d from the
equilibrium position under the action of the
“load” m g.
Find the spring constant k if the spring
is stretched a distance 16 m by a suspended
weight of 96 N. The acceleration of gravity is
9.8 m/s^2
Answer in units of N/m.

Explanation:

Force Constant of a Spring

The force F applied to a spring produces a stretching distance x. These variables are linearly related as expressed by Hook's law:

If we could measure the distance a spring stretches when applying a known force, we'd be able to find the value of K. The experiment stated in the question places some mass of a known weight of 96 N that produced a stretching distance of 16 m. Knowing both variables, we can solve the above equation for K

gpe = mass x gravity constant x height or… gpe = mgh

where… mass: measured in kilograms (kg)

gravity: gravity constant on earth = 10.00 m/s2

height: measured in meters (m)

gpe: measured in joules (j) or kilojoules (kj)

how do you solve gpe?

gravitational potential energy (gpe) is the energy an object has because of its position above the. ground.

gpe = mass x gravity constant x height or… gpe = mgh.

mass:

note: to earn full marks when solving science word problems, you must show your work:

formula.

example:

given values:

mass = 0.3 kg.