IDNLearn.com is the place where your questions are met with thoughtful and precise answers. Our platform offers reliable and comprehensive answers to help you make informed decisions quickly and easily.
Answer:
24 m
Explanation:
By applying the law of conservation of energy.
K.E = P.E
[tex]\dfrac{1}{2}kx^2 = mgh[/tex]
By rearrangement;
[tex]\dfrac{k}{m} = \dfrac{2*g*h}{x^2}[/tex]
where;
k = spring constant
m = mass of pebble
h = height reached
x = stretched length
[tex]\dfrac{k}{m} = \dfrac{2*9.8*6}{(20 \times 10^{-2})^2}[/tex]
[tex]\dfrac{k}{m} =0.2940 \times 10^4[/tex]
Since the drag force is negligible;
[tex]\dfrac{1}{2}kx^2 = mgh[/tex]
[tex]h = \dfrac{k}{m}\dfrac{x^2}{g}[/tex]
[tex]h = \dfrac{1}{2}\times 0.2940 \times 10^4 \times \dfrac{(40\times 10^{-2})^2}{9.8}[/tex]
h = 24 m