You place a box weighing 223:2 N on an in-

clined plane that makes a 38:4± angle with the
horizontal.
Compute the component of the gravita-
tional force acting down the inclined plane.
Answer in units of N.

223.2 sin 38.47 = ?

Don't use colons for decimals

To compute the component of the gravitational force acting down the inclined plane, you need to take into account the weight of the box (223.2 N) and the angle of the inclined plane (38.4°).

The gravitational force can be split into two components: one acting perpendicular to the inclined plane (normal force) and the other acting parallel to the inclined plane (component of weight).

First, we need to find the component of weight acting parallel to the inclined plane. This can be calculated using the formula:

Component of weight = Weight * sin(angle)

Substituting the given values into the formula:
Component of weight = 223.2 N * sin(38.4°)

Calculating sin(38.4°) using a scientific calculator:
sin(38.4°) = 0.6156

Now, plug in the value of sin(38.4°) into the formula:
Component of weight = 223.2 N * 0.6156

Calculating the result:
Component of weight = 137.39 N

Therefore, the component of the gravitational force acting down the inclined plane is 137.39 N.