Question

Se realiza un experimento en el que se mide el alargamiento de un muelle debido a la acción de una pesa; se trata de comprobar la ley de Hooke. Los datos que se han obtenido son: Medición 1 2 3 4 5 Alargamiento 42.0 48.4 51.3 56.3 58.6 Masa 2 4 6 8 10 El coeficiente de determinación es:

Answer 1

m = 1,975 m / kg , b = 38.05 m

Step-by-step explanation:

In this experiment, the elongation is plotted against the applied mass

getting a straight line

y = m x + b

where b would be the initial length of spring let's calculate the slope for which we use two well separated points

m = (56.3 -48.4) / (8 - 4)

m = 1,975 m / kg

the equation remains

y = 1,975 x + b

for x = 2 kg y = 42.0 m

we substitute in the equation

42 = 1,975 2 + b

b = 42 - 3.95

b = 38.05 m