Question

015 10.0 points A crate of mass 10 kg rests on a horizontal surface. The coefficient of static friction is µs = 1 2 for the crate on that surface. A constant horizontal force of 45 N is applied to the crate, and it remains at rest. 45 N What is the magnitude of the force of static friction acting on the crate? The acceleration due to gravity is 10 m/s2 .

Answer 1

To solve this problem we will take the concept given by the frictional force, which warns that it is the product between the normal force (mg) by the static friction coefficient. In turn, this value of the coefficient will be taken as 1/2 to facilitate calculations (and not 1 2, as it appears in the problem, perhaps due to the omission of the division symbol).

Thus, the maximum frictional force that can be applied on the block before it is in motion will be given by the function,

$F_f = \mu_s N$

Where,

$\mu_s$= Coefficient of static friction

N = Normal Force

$F_f = \mu_s mg$

Replacing the values we have that,

$F_f = \frac{1}{2} 10*10$

$F_f = 50N$

Therefore the magnitude of te force of static friction acting on the crate is the horizontal force of 45N since it is less than maximum static friction.

Answer 2

"45 N" would be the magnitude of the force of static friction.

Given:

Coefficient of static friction,

• $\mu_s = \frac{1}{2}$

Horizontal force,

• 45 N

Now,

The maximum Static friction will be:

= $\mu_s mg$

By substituting the values, we get

= $\frac{1}{2}\times 10\times 10$

= $50 \ N$

We know,

Magnitude of friction force = 45 N

We can see that 45 N is less than 50 N. Thus the above answer is right.

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