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trasher [3.6K]
3 years ago
7

the length of a string is 16cm.Its length becomes 20cm when supporting a weight of 5N.Calculate the length of the string when su

pporting a weight of 6N.Comment on the answer​
Chemistry
1 answer:
guapka [62]3 years ago
4 0

Answer:

<h2>20.8cm</h2>

Explanation:

According to hooks law "provide the elastic limit of an elastic material is not exceeded the extension e is directly proportional to the applied force F"

F= ke

where F= applied force

           k= spring constant

           e= extension

Given data

length of string l = 16cm

extension  e = 20-16= 4cm

applied force = 5N

we need t o first calculate the spring constant k

apply the formula

F= ke

5=k*4\\k= \frac{5}{4} \\k= 1.25N/cm

we can now calculate the extension of the string when supporting a 6N weight

F= ke\\6=1.25*e\\e= \frac{6}{1.25} \\e= 4.8cm

The length of the string when supporting a 6N weight is

= length+ extension\\= 16+4.8\\= 20.8cm

<em>COMMENT </em><em>:According to the analysis an extra  weight of 1N will cause add 0.8cm to the length of the string</em>

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