# Vectors - Lab**Name:** **Lab Partner:** **Lab Partner:** **Date:** **Lab day & time:** ---**Question:** When an object is pushed several ways at once, what is the net effect?**Apparatus:** Grid paper, ruler, protractor---## Part L-1:Another way to use the parallelogram rule is to draw the forces in sequence, the tail of one force lying on the head of the other, as shown in Figure 3.**Example:** Suppose the sailboat we have been considering has an outboard motor. The boat is acted on by the forces of wind (\( W \)), lake current (\( C \)), and the current produced by the propeller (\( P \)). These forces are drawn head-to-tail in Figure 4B.### 1. Draw the resultant of the three forces. (Sketch this directly on Figure 4B.)---**Figure 4A:** Illustration showing three forces acting on a boat:- **\( W \):** Force of wind on the boat- **\( C \):** Lake current- **\( P \):** Current produced by the propeller**Figure 4B:** Diagram showing the three forces drawn head-to-tail:- The diagram illustrates the sequential drawing of forces. The head of one vector aligns with the tail of the next, visualizing the vector addition process.**Figure 3:** - This figure demonstrates drawing the forces head-to-tail. The resultant force can be drawn from the tail of the first force to the head of the second, creating a vector that combines all original forces.--- ### Force Vectors - Lesson 2#### Transcription:2. **Activity:** Use the head-to-tail method, as shown in the previous example, to find the resultant force acting on the box with three forces acting on it as shown below. Draw and label the head-to-tail solution and the resultant in the space next to the figure below. ![Diagram Showing Forces](#) (Three forces labeled as \( F_1, F_2, \) and \( F_3 \) act on a box.)#### Part L-2:Applying the parallelogram rule directly can become tedious, especially if more than two forces are involved. Fortunately, the parallelogram rule can be used indirectly to simplify these calculations, using the **method of components**.![Diagram: Decomposition of Force](#) **Figure 5:** \( F_x \) and \( F_y \) are the x and y components of a particular force. For this force, the x-component is negative and the y-component is positive.#### Notes on Components:- The **component** of a force in a given direction is the projection of that force onto a straight line in that direction.- A component is considered positive when the force is drawn with its tail at the coordinate origin, and the component lies along the positive direction of the axis. (See Figure 5)- By Pythagoras's theorem, the magnitude of a vector can be determined from its components: \[ \text{magnitude of } F = \sqrt{F_x^2 + F_y^2} \]#### 3. Activity:Fill in the below chart, specifying whether the three forces on the boat in Figure 4A have components that are positive, negative, or zero.| Force | East component | North component ||-------|----------------|-----------------|| W | | || P | | || C | | |*Last Revised 07/17/2015*

Answered: 1. Draw the resultant of the three…

1. Draw the resultant of the three forces. (Sketch this directly on Figure 4B.) Figure 4A: Three forces acting on a boat Figure 4B: The three forces drawn head-to-tail

College Physics

11th Edition

ISBN:9781305952300

Author:Raymond A. Serway, Chris Vuille

Publisher:Raymond A. Serway, Chris Vuille

Chapter1: Units, Trigonometry. And Vectors

Section: Chapter Questions

Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...

See similar textbooks

Related questions

Q: 4. Use the method of components to determine the resultant force acting on the system below. State…

Q: An object that is accelerating in a circular motion experiences which force? Stretch the Yellow…

A: (1) Explanation: When a body moves in a circular path it experiences an inward force towards the…

Q: led away from a burning building as s T₁ T₂ -10° (in N) in the first rope, T₁, if the person body…

A: A body remains in equilibrium if vector sum of all forces on it is zeroMass The aim to determine:a)…

Q: An engineer is making a table to determine the thrust required that will allow a helicopter of mass…

Q: Look at the diagram below carefully. A 45 N force is applied at an angle of 35° above the horizontal…

Q: 7.) In which of the following vector diagrams is the resultant of the three vectors zero? A C

A: Here we apply triangle law of addition of two vectors.

Q: 4. You push down on a 20-kg lawn mower at an angle of 35° with a force of 50 N. The coefficient…

A: Given: m =20 kgangle = 35force F =50 Nμ =0.1

Q: a. Draw free-body diagrams for blocks A and B. Clearly label each of the forces using the notation…

A: The figures below show the free body diagrams of the two blocks.

Q: + Three ropes are tied to a stick, and over it there are three forces acting: A 20 NE; B = 30 N, 30…

Q: A block remains in contact with the floor. A person pushes downward on the block with force Fa the…

A: Required : The pair of the Newton's third law that goes with the block pushing on the person.

Q: 2. Use your understanding of force relationships and vector components to fill in the blanks in the…

A: According to question we need to give answer of all fill in the blanks.

Q: 4. A suspension bridge cable is connected to its anchor at a 20 angle. Draw a force diagram for the…

A: Given, Angle θ=200F=15,000 N

Q: 18. A scale in the elevator's floor measures the weight of the passengers, and it has the correct…

Q: Sketch the free-body diagram for a mass that has a force of 10 N to the right, 7 N up, 3 N down, and…

Q: 2. (2-3.5.) The body on the incline in the given figure is subjected to the vertical and horizontal…

A: Given: The magnitude of the force P is 1200 lb. The magnitude of the force F is 400 lb.

Q: Find the net force acting on the books below. Add Text Here! Find the net force acting on the books…

A: Data provided: The value of forces acting on the books Required: The net force on the books

Q: What is the magnitude of the weight, W₁, of the wood block + cargo in terms of their mass, mı?

Concept explainers

Newton’s Third Law of Motion

The horse pulls the cart and the cart pulls the horse in response as per Newton third law. So the big question is, “Don’t the two forces cancel each other? How does the cart accelerate?”

Question

100%

### Force Vectors - Lesson 2

#### Transcription:

2. **Activity:**
Use the head-to-tail method, as shown in the previous example, to find the resultant force acting on the box with three forces acting on it as shown below. Draw and label the head-to-tail solution and the resultant in the space next to the figure below.

![Diagram Showing Forces](#)
(Three forces labeled as \( F_1, F_2, \) and \( F_3 \) act on a box.)

#### Part L-2:

Applying the parallelogram rule directly can become tedious, especially if more than two forces are involved. Fortunately, the parallelogram rule can be used indirectly to simplify these calculations, using the **method of components**.

![Diagram: Decomposition of Force](#)
**Figure 5:** \( F_x \) and \( F_y \) are the x and y components of a particular force. For this force, the x-component is negative and the y-component is positive.

#### Notes on Components:

- The **component** of a force in a given direction is the projection of that force onto a straight line in that direction.
- A component is considered positive when the force is drawn with its tail at the coordinate origin, and the component lies along the positive direction of the axis. (See Figure 5)
- By Pythagoras's theorem, the magnitude of a vector can be determined from its components:

\[
\text{magnitude of } F = \sqrt{F_x^2 + F_y^2}
\]

#### 3. Activity:

Fill in the below chart, specifying whether the three forces on the boat in Figure 4A have components that are positive, negative, or zero.

| Force | East component | North component |
|-------|----------------|-----------------|
| W | | |
| P | | |
| C | | |

*Last Revised 07/17/2015*

Expert Solution

This question has been solved!

Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.

This is a popular solution!

SEE SOLUTION Check out a sample Q&A here

Step 1- Solution of question 1

VIEW

Step 2- Solution of question 2

VIEW

Step 3- Solution of question 3

VIEW

Trending now

This is a popular solution!

Step by step

Solved in 3 steps with 5 images

SEE SOLUTION Check out a sample Q&A here

Knowledge Booster

Learn more about

Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, physics and related others by exploring similar questions and additional content below.

Similar questions

10. You have three carts connected by strings, as shown in the diagram. Assume their masses m₁, m2, and m3 are different from one another. If a force, F, is applied to m₁, how do their accelerations compare? Are they the same? Are they different? Explain. How does the net force on each cart compare? Are the net forces the same? Are they different? Explain m3 m₂ m₁ F
4. How does the force block A exerts on block B compare to the force block B exerts on block A? Draw and label a quantitative force diagram for each block, using equality marks on the vectors. v = 0 A 100 g B 50 g
Also figure 4. A student is holding a barbell as in the question above, but in this case we do not know whether the barbell is moving and we do not know how it might be moving. The Earth is pulling down on the barbell with a force equal to the weight of the barbell. Under these circumstances, which of the following must be equal to the weight of the barbell? Choose all that apply. More than one answer may be correct. The upward force that the hand exerts on the barbell. The upward force that the barbell exerts on the Earth. O None of the other answers must be correct (every one of them could be wrong). O The downward force that the barbell exerts on the hand. 000|
3. Can there be forces acting on an object at rest? Explain why or why not. Add Text Here! 4. What is the net force on an object that has balanced forces acting on it? Add Text Here! 5. Find the net force acting on the books below. Add Text Here! 6. Find the net force acting on the books below. Add Text Here! FOON 7. Two students push on a box in the same direction and a third student pushes in the opposite direction. What is the net force on the box if each push with a force of 50 N? Add Text Here! 8. Why is Newton's 1* Law also known as the Law of Inertia? Add Text Here! 9. The more Add Text! an object has, the more inertia it has. 10. Rank the following objects from least amount of inertia to most amount of inertia. ? Textbook ? Pencil ? Kindergartener ? Elephant OYI NotRockn Samce 2017 Motion and Force Unit 25
1. Consider two sleds that are connected by a rope. The first sled has a mass of 50 kg, while the second sled has a mass of 60 kg. If a force of 200 N acting in the direction along the East is pulled by a rope connected to the first sled, A.) determine the acceleration of the sled and B.) the tension in the rope connecting the two sleds. Example is attached below. Please refer to it when answering.
5. Let's revisit the practice problem. Two blocks are connected by a rope passing over a frictionless pulley as shown below. The mass of the rope is negligible. 30 kg 52 kg a) Using Newton's second law, calculate the acceleration of the 30-kg mass.