Soru
To stretch a spring 8,5 cm from its unstretched length, 251 J of work must be done. What is the stifness constant (spring constant) of this spring in N/m ? (in N) Round off your result to 1 decimal place.
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Usta · 5 yıl öğretmeni
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To find the spring constant (k), we can use Hooke's Law, which states that the force required to stretch or compress a spring is directly proportional to the distance it is stretched or compressed. The formula for Hooke's Law is:
where:-
is the force applied to the spring,-
is the spring constant,-
is the distance the spring is stretched or compressed from its unstretched length.Given that 251 J of work must be done to stretch the spring 8.5 cm (0.085 m), we can use the work done on the spring to find the force. The work done on a spring is given by:
where:-
is the work done on the spring,-
is the spring constant,-
is the distance the spring is stretched.We can rearrange this formula to solve for the spring constant
:
Substituting the given values:
Rounding off to 1 decimal place, the spring constant
is: