Question

In: Physics

Two vectors in polar coordinates (R, θ) are given byV1 = (5.0, 125°) and V2 =...

Two vectors in polar coordinates (R, θ) are given byV1 = (5.0, 125°) and V2 = (4.0, 260°). Find the sum V1 + V2 in polar coordinates. Give the answer to 2 significant figures for the magnitude and to the nearest degree in angle.

Hint: first convert the vectors to Cartesian form and add them to get the resultant vector. Then convert this resultant vector to polar form

Solutions

Expert Solution


Related Solutions

The Cartesian coordinates of a point are given. (a)    (−3, 3) (i) Find polar coordinates (r, θ)...
The Cartesian coordinates of a point are given. (a)    (−3, 3) (i) Find polar coordinates (r, θ) of the point, where r > 0 and 0 ≤ θ < 2π. (r, θ) = (ii) Find polar coordinates (r, θ) of the point, where r < 0 and 0 ≤ θ < 2π. (r, θ) = b. (5,5sqrt(3)) (i) Find polar coordinates (r, θ) of the point, where r > 0 and 0 ≤ θ < 2π. (r, θ) = (ii) Find...
In Matlab: Any complex number z=a+bi can be given by its polar coordinates r and θ,...
In Matlab: Any complex number z=a+bi can be given by its polar coordinates r and θ, where r=|z|=sqrt(a^2+b^2) is the magnitude and θ= arctan(ba) is the angle. Write a function that will return both the magnitude r and the angle θ of a given complex numberz=a+bi. You should not use the built-in functions abs and angle. You may use the built-in functions real and imag.
The Cartesian coordinates of a point are given. (a) (2, −5) (i) Find polar coordinates (r,...
The Cartesian coordinates of a point are given. (a) (2, −5) (i) Find polar coordinates (r, θ) of the point, where r > 0 and 0 ≤ θ < 2π. (r, θ) = (ii) Find polar coordinates (r, θ) of the point, where r < 0 and 0 ≤ θ < 2π. (r, θ) = (b) (-2, −2) (i) Find polar coordinates (r, θ) of the point, where r > 0 and 0 ≤ θ < 2π. (r, θ) =...
3. Geodesics in R2 : Consider 2D flat space in polar coordinates r and θ. Find...
3. Geodesics in R2 : Consider 2D flat space in polar coordinates r and θ. Find the curves parametrized by r(s) and θ(s) that satisfy the geodesic equation, and show that they correspond to straight lines in R2
Find the slope of the tangent line to the given polar curve at the point specified by the value of θ. r = 1 + 2 cos θ, θ = π/3
Find the slope of the tangent line to the given polar curve at the point specified by the value of θ. r = 1 + 2 cos θ, θ = π/3
What is the area inside the polar curve r = 1 , but outside the polar curve r = 2 cos θ ?
What is the area inside the polar curve r=1, but outside the polar curve r=2cosθ?
Plot the point whose polar coordinates are given. Then find the Cartesian coordinates of the point...
Plot the point whose polar coordinates are given. Then find the Cartesian coordinates of the point b. (2, π/4) c.(−3, −π/6)
The unit vector (in cylindrical coordinates) parallel to the z-axis at Q (r = 5, θ...
The unit vector (in cylindrical coordinates) parallel to the z-axis at Q (r = 5, θ = π/2, ϕ =1.5π) is
1.) Find the sum V in cartesian and polar coordinates of V1=1000 m/s, V2=1800 m/s 2.)...
1.) Find the sum V in cartesian and polar coordinates of V1=1000 m/s, V2=1800 m/s 2.) Find the difference of V in polar and cartesian coordinates for V3= 800 m/s and V4= 1400 m/s. The angles are angle1= 35 deg, angle2= 60 deg, angle3= 130 deg, angle4= 340 deg.
The set of all vectors in R 5 whose coordinates sum to zero forms a subspace....
The set of all vectors in R 5 whose coordinates sum to zero forms a subspace. The following vectors are a generating set for the space. u1 = (2, −3, 4, −5, 2) u2 = (−6, 9, −12, 15, −6) u3 = (3, −2, 7, −9, 1) u4 = (2, −8, 2, −2, 6) u5 = (−1, 1, 2, 1 − 3) u6 = (0, −3, −18, 9, 12) u7 = (1, 0, −2, 3, −2) u8 = (2, −1,...
ADVERTISEMENT
ADVERTISEMENT
ADVERTISEMENT