146k views
4 votes
Suppose F⃗ (x,y)=⟨ex,ey⟩ and C is the portion of the ellipse centered at the origin from the point (0,1) to the point (3,0) centered at the origin oriented clockwise. (a) Find a vector

User Xeijp
by
7.7k points

1 Answer

3 votes

Final answer:

To find the vector F⃗ (x,y)=⟨ex,ey⟩, substitute the values of x and y into the equation. The work done by force vector F₁ can be calculated using the equation W = F⃗ ⋅ d⃗, where F⃗ is the force vector and d⃗ is the displacement vector.

Step-by-step explanation:

To find a vector F⃗ (x,y) given by ⟨ex,ey⟩, we need to substitute the values of x and y into the equation. In this case, x = e and y = e. Hence, the vector F⃗ (x,y) is given by the equation F⃗ (x,y)=⟨e^2,e^2⟩.

To find the work done by F₁, we need to use the equation for work, which is defined as the dot product of force and displacement. In this case, the force F₁ is given by F₁ = (3 N)Î + (4 N)Ĵĵ and the displacement is from (0 m, 0 m) to (5 m, 6 m). The work done is given by the equation W = F⃗ ⋅ d⃗, where F⃗ is the force vector and d⃗ is the displacement vector. By substituting the given values, we can calculate the work done.

User Ali Naddaf
by
8.2k points
Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.

9.4m questions

12.2m answers

Categories