Question

a) Based on the best-fit analysis, estimate the proportionality constant k for the rubber band.

b) How many coins are necessary to stretch the elastic band by one metre? Would this be possible with the rubber band I used in this expirement?

Based on the data I obtained from my Hooke's Law experiment, I created a graph (which was linear) and determined the best-fit equation based on my graph: y = 11.445x + 0

Please note, the weight of one 10 ccent coin is 1.75g = 0.00175 kg.

Here is the Hooke's Law experiment that I did: I attached one end of a rubber band to a fixed support and attached a small plastic bag to the other end of the rubber band. I measured the initial length of the rubber band (19.6 cm) then added one 10 cent coin into the bag which caused a stretch in the rubber band. I measured and recorded this new length. I repeated this process adding more and more coins into the plastic bag and measuring the length of the rubber band each time. Force was calculated as weight of coins w = nmg and stretch of the rubber band was calculated using: new length - initial length = stretch.

Answer 1

perfect, thats the perfect experiment to check hooks law

so you have taken force = weight along y axis

stretch (change in length ) along x axis

hence the coefficient of x

i.e 11.445 units is the spring constant