What displacemtn at 70 degrees has an x-component of 450m? What is its y-component?
I know the answers are 1.3 and 1.2... but don't know how to work it out?? PLEASE HELP!!
It's the anser in the book... Schaum's outline, college physics... 10th edition???
I want solve physics problem
To find the displacement at 70 degrees with an x-component of 450m and determine its y-component, we can use trigonometry and resolve the displacement into its x and y components.
First, let's define the given information:
- x-component: 450m
- angle: 70 degrees
To determine the y-component, we can use the following trigonometric relationships:
sin(theta) = opposite/hypotenuse
cos(theta) = adjacent/hypotenuse
In this case, the x-component is the adjacent side and the y-component is the opposite side, while the hypotenuse represents the total displacement.
Step 1: Find the hypotenuse (total displacement):
The hypotenuse can be found using the Pythagorean theorem:
hypotenuse = sqrt(x-component^2 + y-component^2)
Step 2: Calculate the y-component:
Using the sine ratio, we have:
sin(theta) = opposite/hypotenuse
y-component/hypotenuse = sin(theta)
y-component = sin(theta) * hypotenuse
Now, let's solve the problem:
Step 1: Find the hypotenuse (total displacement):
Using the given information:
x-component = 450m
Since we are given the x-component, we can directly use it to calculate the total displacement (hypotenuse) as follows:
hypotenuse = x-component / cos(theta)
So, hypotenuse = 450m / cos(70°)
hypotenuse ≈ 1.509 * 450m
hypotenuse ≈ 679.05m
Step 2: Calculate the y-component:
Using the sine ratio and the value of the hypotenuse obtained in Step 1:
sin(theta) = opposite / hypotenuse
y-component / hypotenuse = sin(theta)
Substituting the values, we get:
y-component = sin(70°) * hypotenuse
y-component ≈ 0.9397 * 679.05m
y-component ≈ 637.62m
So, the displacement at 70 degrees with an x-component of 450m has a y-component of approximately 637.62m.
450= D * cos70
y= D sin70
I am not so certain of your "answers".