Aforce of 5n and a force of 8n act to the same point and are inclined at 45degree to each other. find the magnitude and direction of the resultant force.

Refer to the diagram attached (created with GeoGebra). Consider the 5 N force in two directions: parallel to the 8 N force and normal to the 8 N force.

The sum of forces on each direction will be the resultant force on that direction:

Apply the Pythagorean Theorem to find the magnitude of the resultant force.

(3 sig. fig.).

The size of the angle between the resultant force and the 8 N force can be found from the tangent value of the angle. Tangent of the angle:

.

Find the size of the angle using inverse tangent:

.

In other words, the resultant force is 17.0° relative to the 8 N force.

33: i think it’s b

this is an example of "committed" time.

committed time, as contracted time, takes need over essential and available time since it is seen as profitable work. it alludes to the time allotted to keep up a home and family. at the point when a man is commuting using committed time this individual may feel that the drive is an obligation to family, for example, strolling youngsters to class or driving a mate to work. contracted and committed time clients may feel that their commute could really compare to the commute of important or leisure time clients on the grounds that their commute is profitable work. in this manner, they might be more disposed to pick a mechanized method of movement.