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
4.7
(329 Votes)
Bradford
Master · Tutor for 5 years
Answer
Without the table values, I am not able to definitively answer the question perse. Though theoretically, it calls for source the Hooke's Law
, ideally substituting the spring constant and extension of
to reveal the force required to stretch the spring.
Explanation
## 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
, where
represents the force,
is the spring constant (to be determined from the table), and
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
or
(as we usually work in meters in physics), along with the tabularly figured spring constant
into the equation. Then calculate to exact the force.