What is the magnitude and direction of the resulting force?

In summary, the student missed a week of school and is now struggling to catch up on the topic of vectors. They have an assignment with 25 problems due tomorrow and a test in two days. They are seeking help with understanding the concept and would appreciate assistance with three homework problems, preferably with explanations. The problems involve calculating distance and direction of a plane, finding the resultant force of two forces acting on a point, and determining the velocity and position of a rowboat crossing a river.
  • #1
.bonbon.
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I missed a week of school due to sickness and today was my first day back. While I was gone, the topic my class learned is called "vectors". My teacher gave me an assignment with 25 problems about it that I'm supposed to finish by tomorrow plus I'll be having a test on it in two days but, despite reading everything about it in the book and trying my best, I'm not sure if I understood it.

Of course, I'm not going to ask to help me solve all 25 homework problems but if you could help me with, say, three of those as an example [preferably with explanation included], I would really appreciate it.

***

Homework Statement



A plane travels a distance of 200 km on a line 50 degrees North of East. How far north and how far east does the plane travel?

Homework Equations



Have to draw a diagram using the distance and the magnitude?

The Attempt at a Solution



N/A [no idea how to do it]

---

Homework Statement



A 5 lb. force and a 50 lb. force act on the same point. The 5 lb. force acts due North, while the 10 lb. force acts due East. What is the magnitude and direction of the resulting force?

Homework Equations



Adding the vectors head to tail and then drawing in the resulting force vector.

The Attempt at a Solution



N/A [no idea how to do it]

---

Homework Statement



A rowboat heads directly west across a river 41 m wide at 1.9 m/s. The current is flowing south at 1.1 m/s, and thus the boat is carried downstream. (a) What is the resultant velocity of the rowboat? (b) How much time does it take the boat to cross the river? (c) How far downstream is the boat when it reaches the other side?

Homework Equations



N/A.

The Attempt at a Solution



N/A [no idea how to do it]

---

Thanks in advance.
 
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Related to What is the magnitude and direction of the resulting force?

1. What is the meaning of magnitude in terms of force?

The magnitude of a force refers to its strength or intensity, and is typically measured in units of Newtons (N) in the International System of Units (SI).

2. How is the magnitude of a force calculated?

The magnitude of a force is calculated by multiplying the mass of an object by its acceleration, according to Newton's second law of motion (F=ma). In simpler terms, the magnitude of a force is equal to the amount of mass an object has and how quickly it is accelerating.

3. What is the difference between magnitude and direction of a force?

The magnitude of a force refers to its strength or intensity, while the direction of a force refers to the path or angle in which it is applied. Both magnitude and direction are necessary to fully describe a force.

4. How is the direction of a force represented?

The direction of a force can be represented in a variety of ways, including using a vector arrow, using degrees or radians on a compass, or using a written description (e.g. "north," "upwards," "45 degrees to the right").

5. Can the magnitude and direction of a force change?

Yes, the magnitude and direction of a force can both change depending on various factors such as the mass and acceleration of an object, the angle or surface it is applied to, and any external forces acting upon it. These changes can also affect the resulting force and its direction.

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