Read each description below. Choose the force diagram (free-body diagram) that best represents the description. You may neglect
the effects of air resistance. |
A. Mark's physics book is on the desk. Mark pushes horizontally (from the side) on the book, but the book does not move. |
B. Kendall's physics book is on the desk. Kendall pushes horizontally (from the side) on the book, and the book moves across the desk at a constant speed. |
C. Jenny pushes a cart at constant velocity down the grocery store aisle. |
D. Eddy is driving his Camaro down a straight, level road while on cruise control. |
E. Ryan is accelerating his Dakota down a straight, level road. |
F. Jackie's Viper is parked on the shoulder of the road while she changes a flat tire. |
A. Mark's physics book is on the desk. Mark pushes horizontally (from the side) on the book, but the book does not move. |
B. Kendall's physics book is on the desk. Kendall pushes horizontally (from the side) on the book, and the book moves across the desk at a constant speed. |
C. Jenny pushes a cart at constant velocity down the grocery store aisle. |
D. Eddy is driving his Camaro down a straight, level road while on cruise control. |
E. Ryan is accelerating his Dakota down a straight, level road. |
F. Jackie's Viper is parked on the shoulder of the road while she changes a flat tire. |
1 answer:
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- Magnitude: 12.1 N.
- Direction: 17.0° to the 8 N 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:
- Resultant force parallel to the 8 N force:
.
- Resultant force normal to the 8 N force:
.
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.
