Vector V1 is 8.58 units long and points along the -x axis. Vector V2 is 4.45 units long and points at +40.0° to the +x axis.
(a) What are the x and y components of each vector?
V1x = Incorrect: Your answer is incorrect.
V1y = Incorrect: Your answer is incorrect.
V2x = Incorrect: Your answer is incorrect.
V2y = Incorrect: Your answer is incorrect.
(b) Determine the sum V1 + V2.
Magnitude
Incorrect: Your answer is incorrect.
Direction
Incorrect: Your answer is incorrect. ° (counterclockwise from the +x axis is positive)
Tvtybg
To find the components of a vector, you can use trigonometry and the given information about the magnitude and direction of the vector.
(a) To find the x and y components of each vector, you can use the following formulas:
- For vector V1:
V1x = magnitude * cos(angle)
V1y = magnitude * sin(angle)
Here, the magnitude of V1 is 8.58 units, and it points along the -x axis, which means it has an angle of 180 degrees or π radians.
V1x = 8.58 * cos(180°)
V1y = 8.58 * sin(180°)
- For vector V2:
V2x = magnitude * cos(angle)
V2y = magnitude * sin(angle)
Here, the magnitude of V2 is 4.45 units, and it points at an angle of +40.0° relative to the +x axis.
V2x = 4.45 * cos(40.0°)
V2y = 4.45 * sin(40.0°)
By plugging in the values into the equations and evaluating them, you can find the x and y components of each vector.
(b) To determine the sum of V1 and V2, you need to add their respective x and y components together.
Sum Vector V = (V1x + V2x, V1y + V2y)
Once you have the sum vector, you can calculate its magnitude and direction using the appropriate formulas.