Jason applies a force of 4.00 newtons to a sled at an angle 62.0 degrees from the ground. What is the component of force effective in pulling the sled horizontally along the ground?
1.87N
If α is the angle that the force F makes with horizontal, F(x)=m•g•cosα
The correct answer is F(x)=F•cosα
To find the component of the force effective in pulling the sled horizontally along the ground, you can use trigonometry. The angle that the force makes with the horizontal is given as 62.0 degrees.
To determine the horizontal component of the force, you need to find the cosine of the given angle. The cosine of an angle is defined as the ratio of the adjacent side to the hypotenuse in a right triangle.
In this case, the horizontal component of the force represents the adjacent side, and the overall force of 4.00 newtons represents the hypotenuse.
So, you can calculate the horizontal component as follows:
Horizontal component = Force × cosine(angle)
Horizontal component = 4.00 newtons × cos(62.0 degrees)
Now, to find the value of the cosine of 62.0 degrees, you can use a scientific calculator or a trigonometric table. The cosine of 62.0 degrees is approximately 0.466.
Therefore:
Horizontal component = 4.00 newtons × 0.466
Note: Remember to include the correct units in your final answer.