A force of 34.5 newtons is applied to an object at an angle of 45 º with the horizontal. What is the force acting on the object in the horizontal direction?
24.3952 N
To find the force acting on the object in the horizontal direction, we need to determine the horizontal component of the applied force.
The horizontal component of a force can be found using the formula:
Horizontal component = Force * cos(angle)
Given:
Force = 34.5 newtons
Angle = 45 degrees
Plugging in the values into the formula:
Horizontal component = 34.5 * cos(45)
Using a calculator to find the cosine of 45 degrees, we get:
Horizontal component ≈ 24.44 newtons
Therefore, the force acting on the object in the horizontal direction is approximately 24.44 newtons.
To find the force acting on the object in the horizontal direction, we need to determine the component of the force that is directed horizontally.
To do this, we can use trigonometry. The force applied at an angle of 45º with the horizontal can be broken down into its horizontal and vertical components using the sine and cosine functions.
The horizontal component can be found using the formula:
Horizontal component = Force * cosine(angle)
In this case, the force is 34.5 newtons and the angle is 45º. Let's calculate the horizontal component:
Horizontal component = 34.5 N * cos(45º)
To find the value of cosine(45º), we can use a calculator or refer to the trigonometric values of common angles. The value of cosine(45º) is 0.707. Plugging in this value:
Horizontal component = 34.5 N * 0.707
Now we can calculate the horizontal component of the force:
Horizontal component ≈ 24.397 N
Therefore, the force acting on the object in the horizontal direction is approximately 24.397 newtons.