A student moves a box of books down the hall
by pulling on a rope attached to the box. The
student pulls with a force of 174 N at an angle
of 35.0 above the horizontal. The box has a
mass of 25.1 kg, and μk between the box and
the floor is 0.25.
The acceleration of gravity is 9.81 m/s2 .
Find the acceleration of the box.
Answer in units of m/s2 ...?
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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