Answer:
83.5 kg
Explanation:
from the question we are given the following :
length of the vine (r) = 10.4 m
velocity (v) = 8.5 m/s^{2}
breaking strength of the vine (T) =1.4 x 10^{3} N
acceleration due to gravity (g) = 9.81 m/s^{2}
maximum mass (m) = ?
we can get the maximum mass by applying the equation below
ΣF = ma
where
ΣF = Tension (breaking strength) - ( mass x acceleration due to gravity)
ma = mass x acceleration = mass x [tex]\frac{velocity^{2} }{lenght of the vine}[/tex]
1400 - (m x 9.81) = m × \frac{8.5^{2}}{10.4}
1400 - 9.81 m = 6.95 m
1400 = 6.95 m + 9.81 m
1400 = 16.76 m
m = 83.5 kg
