Step-by-step explanation:
Frequency of a mass-spring system is:
f = √(k/m) / (2π)
Given f = 2/π Hz and m = 20 kg:
2/π Hz = √(k / 20 kg) / (2π)
4 Hz = √(k / 20 kg)
16 s⁻² = k / 20 kg
k = 320 kg/s²
k = 320 N/m
If the 20 kg mass is replaced with an 80 kg mass, the frequency is:
f = √(320 kg/s² / 80 kg) / (2π)
f = √(4 s⁻²) / (2π)
f = 2 Hz / (2π)
f = 1/π Hz
Answer:
Step-by-step explanation:
Let
x -----> the cost of the items Kira's store sold
Remember that
----> sales tax in decimal number
we know that
The cost of the items that Kira's store sold multiplied by the sales tax in decimal number must be equal to $22
so
Solve for x
Divide by 0.05 both sides
Answer:
b - 500 times greater
Step-by-step explanation:
Answer:
y=3
Step-by-step explanation:
