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.
To determine the force required to stretch a spring using Hooke's law, you can use the formula:
F = k * x
where F is the force, k is the spring constant, and x is the displacement or stretch distance.
Given:
Spring constant, k = 500.0 N/m
Displacement, x = 0.030 m
Using the formula and plugging in the values:
F = 500.0 N/m * 0.030 m
Calculating the result:
F = 15.0 N
Therefore, the force required to stretch the spring a distance of 0.030 m is 15.0 N.
To determine the force required to stretch a spring using Hooke's Law, we need to use the formula:
F = kx
Where:
F is the force applied to the spring,
k is the spring constant, and
x is the displacement or stretch 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.
Substituting these values into the formula, we get:
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 Newtons.