Working formula for both problems is Newton's 2nd Law of Motion, i.e.,
F = ma
where
F = net force acting on a body
m = mass of the body
a = acceleration of the body
For Problem #1 ---
The working formula is
F = 174(cos Θ) - µmg = ma
where
Θ = angle at which force is pulling = 35 deg
µ = 0.25
g = acceleration due to gravity = 9.8 m/sec^2 (constant)
and all other terms have been previously defined.
Substituting appropriate values,
174(cos 35) - 0.25(25.1)(9.8) = 25.1a
Solving for "a"
a = 8.71 m/sec^2
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