(Solved): what is the weight of the grapes?? Question B A bunch of grapes is placed in a spring scale at a su ...

A bunch of grapes is placed in a spring scale at a supermarket. The grapes oscilate up and down with a poriod of $0.47\mathrm{s}$, and the spring in the scale has a force constant of $640\mathrm{N}/\mathrm{m}$ What is the mass of the grapes? Express your answer using two signiticant figures. Correct Picture the Problem: When a bunch of grapes are placed on the scale, they cause the sprin is equilibrium point. The grapes wil then oscillate up and down on the spring with a period mass and the stiffness of the spring in the scale. Strategy: Substitute the speing force constant and the period into the period equation to solv mass required to produce the measured period of oscillation. Solution: Solve equation for the period of a mass on a spring for the mass: $T=2\pi \sqrt{\frac{m}{k}}\Rightarrow m=k{\left(\frac{T}{2\pi }\right)}^2$ Substitute the numerical values: $m=(640\mathrm{N}/\mathrm{m}){\left(\frac{0.47\mathrm{s}}{2\mathrm{r}}\right)}^2=3.6\mathrm{kg}$ Part B What is the woight of the grapes? Express your answer using two significant figures.