A student carried out an experiment adding different weights to a spring and recording the results. Look at the table of results. What force do you think would be needed to give the spring an extension of 25cm?

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Question

A student carried out an experiment adding different weights to a spring and recording the results. Look at the table of results. What force do you think would be needed to give the spring an extension of 25cm?

Answer 1

Without the table values, I am not able to definitively answer the question perse. Though theoretically, it calls for source the Hooke's Law \( F = k * x \), ideally substituting the spring constant and extension of \( 0.25m \) to reveal the force required to stretch the spring.

Answer 2

## Step1: In the given problem, the question doesn't provide us with a table itself. However, based on the illustrative scientific context, it presumably provides information about force and extension i.e.,, gives varied measures of 'weights added' and 'resulting extensions'. ## Step2: The key principle here echoes with that in Hooke's Law which states - the extension of a spring is directly proportional to the force applied on it. This can be mathematically expressed as \( F = k * x \), where \( F \) represents the force, \( k \) is the spring constant (to be determined from the table), and \( x \) is the extension of the spring. Notice how this almost mirrors the format reliant in the given example. ## Step3: To discern the force needed to extend 25 cm, substitute \( x = 25cm \) or \( 0.25m \) (as we usually work in meters in physics), along with the tabularly figured spring constant \( k \) into the equation. Then calculate to exact the force.

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A student carried out an experiment adding different weights to a spring and recording the results. Look at the table of results. What force do you think would be needed to give the spring an extension of 25cm?

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