For a certain spring, the spring constant is 500.0 N/m. Use the Hooke's law to determine the force required to stretch the spring a distance of 0.030 m.
F = kx
so plug in your numbers
To determine the force required to stretch the spring, we can use Hooke's law, which states that the force exerted by a spring is directly proportional to the displacement or extension of the spring from its equilibrium position.
Hooke's law can be stated as:
F = -kx
Where:
F is the force exerted by the spring
k is the spring constant
x is the displacement or extension of the spring
In this case, the spring constant (k) is given as 500.0 N/m and the displacement (x) is given as 0.030 m.
Plugging in the values into the equation, we can calculate the force required:
F = -kx
F = -(500.0 N/m)(0.030 m)
F = -15 N
Therefore, the force required to stretch the spring a distance of 0.030 m is -15 N. The negative sign indicates that the force is in the opposite direction of the displacement, as the spring is being stretched.