a force of 20N compresses a spring with a spring constant of 50N/m. how much energy is stored in the spring?
energy= 1/2 k x^2
but F=kx or x= F/k=20/50 m= .4m
energy= 1/2 (50)(.4^2) joules
sads
To determine the amount of energy stored in a spring, you can use the formula:
E = (1/2) * k * x^2
where:
E is the energy stored in the spring,
k is the spring constant, and
x is the displacement or compression of the spring.
In this case, the force exerted on the spring is 20 N, and the spring constant is 50 N/m.
To find the displacement of the spring, we can use Hooke's Law:
F = k * x
Rearranging the equation, we have:
x = F / k
Plugging in the values, we have:
x = 20 N / 50 N/m
= 0.4 m
Now, we can substitute the obtained value of x into the energy formula:
E = (1/2) * k * x^2
= (1/2) * 50 N/m * (0.4 m)^2
= (1/2) * 50 N/m * 0.16 m^2
= 4 J
Therefore, the amount of energy stored in the spring is 4 Joules.
Ah, spring physics! You know, springs are like little superheroes — they store potential energy, just waiting to be unleashed! Let's calculate how much energy our spring buddy has stored, shall we?
To find the energy stored in the spring, we can use the formula:
E = 1/2 * k * x^2
Where:
E is the energy stored in the spring,
k is the spring constant, and
x is the distance the spring is compressed or stretched.
Given that the spring constant (k) is 50 N/m and the spring is compressed by a distance (x) of 20 N, let's plug those values into the formula and see what we get!
E = 1/2 * 50 N/m * (20 N)^2
Calculating that, we have:
E = 1/2 * 50 N/m * 400 N^2
E = 10,000 N^2/m
So, the energy stored in the spring is 10,000 N^2/m. That's a lot of potential energy waiting to be released! Remember, though, always handle springs with caution. They can be a real "spring" in your step!