A load of 12N stretches on spring by 80mm.find the weight which produces an extension odf 60mm or some string?
extension is proportional to load F = k X
so
(60/80) * 12 Newtons
A load of 12N stretches on spring by 80mm .find the weight which produces an extension of 60mm or the string
You could not find 3/4 times 12 ?
A load of 12N stretches a spring by 80mm.find the weight which produces on extension of 60mm on the same spring ?
Non
To find the weight that produces an extension of 60mm on the spring, we can use Hooke's Law, which states that the force exerted by a spring is directly proportional to the extension of the spring.
Hooke's Law can be written as:
F = k * x
Where:
F is the force exerted by the spring
k is the spring constant
x is the extension of the spring
First, we need to find the spring constant (k) of the spring. We can do this by rearranging Hooke's Law equation:
k = F / x
In this case, the load of 12N stretches the spring by 80mm. So, we can substitute the values in the equation:
k = 12N / 80mm
Now, we have the value of the spring constant (k) as 0.15 N/mm.
Next, we need to calculate the weight that will produce an extension of 60mm using the same spring. Since weight is a force, it can be calculated using the equation:
Weight = k * x
Here, we want to find the weight (W), for an extension of 60mm (x):
W = 0.15 N/mm * 60mm
Simplifying the equation, we find:
W = 9 N
So, the weight that produces an extension of 60mm on the spring is 9 Newtons.