Force = mass * acceleration
F = ma
F = (15)(12)
F = 180N
Answer:
The magnitude of the acceleration of each block is, a = 2.56 m/s²
The tension in the string is, T = 43.05 N
Explanation:
Given data,
The larger block of mass, M = 8.00 kg
The smaller block of mass, m = 3.50 kg
The formula for Atwood 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
Because of the opposing forces on the car like friction because there is no more acceleration
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Hope this helps! :)