Respuesta :
Answer:
1.43
Explanation:
form two simultaneous equation and solved
The magnitude of the acceleration of each block is, a = 2.56 m/s²
The tension in the string is, T = 43.05 N
Given data,
The larger block of mass, M = 8.00 kg
The smaller block of mass, m = 6.00 kg
The formula for At wood machine is,
Ma = Mg - T
ma = T - mg
Adding those equations,
a (M + m) = g ( M - m)
a = (M + m) / ( M - m)
Substituting the values,
a = (8 + 3.5) / (8 - 3.5)
= 2.56 m/s²
The magnitude of the acceleration of each block is, a = 2.56 m/s²
The tension in the string,
T = m(a + g)
= 3.5 ( 2.56 + 9.8)
= 43.05 N
The tension in the string is, T = 43.05 N
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