A 2.03 kg book is placed on a flat desk. suppose the coefficient of static friction between the book and the desk is 0.522 and the coefficient of kinetic friction is 0.283. how much force is needed to begin moving the book?

Respuesta :

The maximum static friction F is given by:

[tex]F = \mu N [/tex]

μ static friction coefficient
N normal force

The normal force N on a flat desk:
[tex]N = mg[/tex]

m mass
g gravitational acceleration = 9.81 m/s²

If the force exerted on the block is not larger then the maximum friction force, the block stays put. 

A 2.03 kg book is placed on a flat desk, with a coefficient of static friction between the book and the desk of 0.522 and a coefficient of kinetic friction of 0.283, requires a force of 10.4 N to start moving.

First, we have to calculate the Normal force (N), which, in a flat horizontal desk, has the same magnitude and opposite sense as the weight of the object (W). We can calculate its magnitude using the following expression.

[tex]|N| = |W| = m \times g = 2.03 kg \times \frac{9.81m}{s^{2} } = 19.9 N[/tex]

where,

  • m: mass of the object
  • g: Earth's gravity

To begin moving the book, we must overcome the highest static friction force (F), which can be calculated using the following expression.

[tex]F = \mu \times N = 0.522 \times 19.9 N = 10.4 N[/tex]

where,

  • μ: coefficient of static friction

A 2.03 kg book is placed on a flat desk, with a coefficient of static friction between the book and the desk of 0.522 and a coefficient of kinetic friction of 0.283, requires a force of 10.4 N to start moving.

You can learn more about friction here: https://brainly.com/question/18754989