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FrozenT [24]
3 years ago
7

a 20 kg box is at rest on a level floor. the coefficient of static friction between the box and the floor is 0.35. hillary pushe

s against the box with a horizontal force of 50N. What is the force of statix friction on the box?
Physics
1 answer:
Yakvenalex [24]3 years ago
7 0

Answer:

f = 50\,N

Explanation:

Let assume that floor is horizontal. By definition, the force of friction is less or equal to the maximum static friction force. That is to say:

f \leq \mu_{s}\cdot m \cdot g

The maximum friction force is:

f_{max} = 0.35\cdot (20\,kg)\cdot (9.807\,\frac{m}{s^{2}} )

f_{max} = 68.67\,N

By applying Newton's law, the box has the following physical model:

\Sigma F = F - f = 0

Where:

f = F

Real friction is equal to 50 N, which is less than maximum friction force. Therefore, the static friction on the box is:

f = 50\,N

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