A man is pulling on a rope with a force of 97 N
directed at an angle of 68 degrees to the horizontal.
What is the x-component of this force?
What is the y-component of this force?
is x horizontal? 97 cos68
is y vertical? 97 sin68
Those are wrong
Correcto
To find the x-component and y-component of a force, you can use trigonometry. The x-component represents the horizontal component of the force, while the y-component represents the vertical component.
To calculate the x-component, you can use the formula:
x-component = force * cos(angle)
Where:
- Force is the magnitude of the force vector (97 N in this case).
- Angle is the angle between the force vector and the horizontal axis (68 degrees in this case).
To calculate the y-component, you can use the formula:
y-component = force * sin(angle)
Where:
- Force is the magnitude of the force vector (97 N in this case).
- Angle is the angle between the force vector and the horizontal axis (68 degrees in this case).
Let's calculate the x-component and y-component:
x-component = 97 N * cos(68 degrees)
y-component = 97 N * sin(68 degrees)
Using a calculator or mathematical software, you can perform these calculations to find the x-component and y-component.