A bunch of grapes is placed in a spring scale at a supermarket. The grapes oscil
ID: 1496745 • Letter: A
Question
A bunch of grapes is placed in a spring scale at a supermarket. The grapes oscillate up and down with a period of 0.49 s, and the spring in the scale has a force constant of 560 N/m. What is the mass of the grapes? Your response is within 10% of the correct value. This may be due to roundoff error, or you could have a mistake in your calculation. Carry out all intermediate results to at least four-digit accuracy to minimize roundoff error, kg What is the weight of the grapes? Your response is within 10% of the correct value. This may be due to roundoff error, or you could have a mistake in your calculation. Carry out all intermediate results to at least four-digit accuracy to minimize roundoff error. NExplanation / Answer
3) given data
Time period, T = 0.49 s
K = 560 N/m
a) we know, angular frequency, w = sqrt(k/m)
T = 2*pi/w
T = 2*pi*sqrt(m/k)
==> m = k*T^2/(4*pi^2)
= 560*0.49^2/(4*pi^2)
= 3.4 kg (rounding to two significant figures)
b) Weight = m*g
= 3.4*9.8
= 33.3 N
= 33 N (rounding to two significant figures)
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