As shown in the figure above, a 50 kg box is dragged across the floor with a pulling force (Fp) of 200 N which acts at an angle of 30 degrees above the horizontal. The coefficient of kinetic friction is 0.25. What is the acceleration of the box? (Use g = 9.8 m/s2. Hint: the normal force is not equal to the weight)
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Ответ:
The acceleration of the box is 2.05 m/s²
Explanation:
The given parameters of the motion of the box are;
The mass of the box, m = 50 kg
The pulling force,
acting on the box = 200 N
The angle at which the force acts, θ = 30° above the horizontal
The coefficient of kinetic friction,
= 0.25
The normal reaction from the box resting on a flat surface, N = The weight of the box, W - The vertical component of the pulling force,![F_{py}](/tpl/images/1079/9036/40acf.png)
N = W -
= m·g -
× sin(θ)
Where;
g = The acceleration due to gravity = 9.8 m/s²
∴ N = W -
= m·g -
× sin(θ) = 50 kg × 9.8 m/s² - 200 N × sin(30°)
∴ N = 490 N - 200 N × 0.5 = 390 N
The normal reaction, N = 390 N
The force of friction,
= The coefficient of kinetic friction,
× The normal reaction, N
∴
=
× N = 0.25 × 390 N = 97.5 N
The net force,
, acting on the block = The pulling force,
- The friction force, ![F_f](/tpl/images/1079/9036/4b7f1.png)
∴
=
-
= 200 N - 97.5 N = 102.5 N
According to Newton's second law of motion on the net force acting on an object, we have;
Where;
a = The acceleration of the box
∴ a =
/m = 102.5 N/(50 kg) = 2.05 m/s²
The acceleration of the box = a = 2.05 m/s².
Ответ:
B. Together in harmony
Explanation:
Globalization is the most potent way to fosters peace and harmony between nations.
The process in which companies develops strategies in order to make them operate in the international scene. It involves participation between two or more countries.
This strategy makes it possible for different people to coalesce and develop strategies to promote cross-country trade.
Trading is one of the ways of improving human-human and nation-nation relationships.