3. Yumyum pulls a box to the left with 300 N of force. Mamu also pulls the box to the left with 250 N of force. The box
has a mass of 25 kg.
a. What is the net force acting on the box?
b. What is the box's acceleration?

Respuesta :

Answer:

The net force acting on the box is 550 N (going leftwards) and the box's acceleration is 22 meters per second squared.

Explanation:

A)

The net force acting on the box is the sum of the forces. Since Yumyum pulls with a force of 300 N and Mamu pulls with a force of 250 N, both to the left, the net force (in the x-direction) will be:

[tex]\displaystyle \sum F _x = (300 \text{ N}) + (250 \text{ N}) = 550 \text{ N}[/tex]

B)

The net force is equal to the object's mass multiplied by its acceleration. That is:

[tex]\displaystyle \sum F_x = ma[/tex]

Substitute known values:

[tex]\displaystyle (550 \text{ N}) = (25 \text{ kg})a[/tex]

Find a:

[tex]\displaystyle a = \frac{550 \text{ N}}{25 \text{ kg}} = 22\text{ m/s$^2$}[/tex]

In conclusion, the net force acting on the box is 550 N (going leftwards) and the box's acceleration is 22 meters per second squared.