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A force of 10N causes a spring to extend by 20mm. Find A, the spring constant of spring in N/m

B, the extension of the spring when 25N is applied .
C, the force applied that causes an extension of 5mm.

A) The spring constant of the spring is A = 0.5 N/m.

B) The extension of the spring when 25N is applied is B = 50mm.
C) The force applied that causes an extension of 5mm is C = 2.5N.

Did you know?

Did you know that the spring constant, represented by the letter A, measures how stiff a spring is? It tells us how much force is required to stretch or compress a spring by a certain distance. In this case, if a force of 10N caused a spring to extend by 20mm, we can calculate the spring constant A by dividing the force (10N) by the extension (20mm). To find B, the extension of the spring when 25N is applied, we can use the same formula and substitute the new force (25N) into it. This will give us the extension of the spring under the new force. Similarly, we can find the force applied that causes an extension of 5mm by rearranging the formula. By multiplying the spring constant A by the extension (5mm), we can determine the force required to achieve that particular extension.