a box is pushed applying a force of 7N against a slippery floor, at an angle of 36 degrees with the floor. what is the horizontal component of the floor?
7cos36°
To find the horizontal component of the force, we need to use trigonometry. In this case, we have a force of 7N acting at an angle of 36 degrees with the floor.
The horizontal component of the force can be found by multiplying the magnitude of the force (7N) by the cosine of the angle. The cosine function gives us the ratio of the adjacent side length to the hypotenuse in a right triangle. In this case, the adjacent side represents the horizontal component of the force.
So, the horizontal component can be calculated as follows:
Horizontal component = 7N * cos(36 degrees)
To find the value, you can use a scientific calculator or an online trigonometric calculator. By substituting the values into the equation, you get:
Horizontal component = 7N * cos(36 degrees) ≈ 5.648N
Therefore, the horizontal component of the force exerted on the slippery floor is approximately 5.648N.