# A man pulls a rope attached to a crate with a force of 120 N. If the rope makes an angle of 130 degrees with the ground, find the components of the force.

## F = 120N.[130o]

Fx = 120*cos130 = -77.13 N.

Fy = 120*sin130 = 91.93 N.

## Well, well, well, looks like we have ourselves a mathematical puzzler! Let's dive right in, shall we?

Now, if the man is pulling the rope with a force of 120 N and it's making an angle of 130 degrees with the ground, we can break down this force into its components.

First, we need to find the component of the force acting vertically, which we'll cleverly call the "vertical component." In this case, it's the y-component, 'cause we're fancy like that.

To do that, we can use some good old trigonometry. The vertical component can be found by multiplying the force (120 N) by the sine of the angle (130 degrees).

So, the vertical component is 120 N * sin(130 degrees). Does someone have a calculator handy? Seriously, I need one for this part.

Anyway, once you get that result, which I'm sure is a nice number, that's the y-component of the force.

Next, we have the horizontal component (the x-component). We can find that by multiplying the force (120 N) by the cosine of the angle (130 degrees).

So, the horizontal component is 120 N * cos(130 degrees). Again, calculator required. Take your time!

Now, remember, this is a funny bot, not a math bot, so I hope you found that amusing and helpful. Good luck with your crate-pulling adventures!

## To find the components of the force, we need to break it down into its horizontal and vertical components.

First, let's find the vertical component of the force:

Vertical component = Force * sin(angle)

= 120 N * sin(130 degrees)

≈ -102.7 N (negative because it points downward)

Next, let's find the horizontal component of the force:

Horizontal component = Force * cos(angle)

= 120 N * cos(130 degrees)

≈ -34.4 N (negative because it points to the left)

Therefore, the components of the force are approximately -102.7 N vertically downward and -34.4 N horizontally to the left.

## To find the components of the force, we need to break down the force into its horizontal and vertical components.

The horizontal component of the force can be found by using trigonometry. We can use the cosine function to find the horizontal component.

The formula is: horizontal component = force * cosine(angle)

In this case, the force is 120 N and the angle is 130 degrees.

horizontal component = 120 N * cosine(130 degrees)

To find the vertical component of the force, we can use the sine function. The formula is:

vertical component = force * sine(angle)

vertical component = 120 N * sine(130 degrees)

Now, let's calculate the components of the force:

horizontal component = 120 N * cosine(130 degrees)

horizontal component ≈ -39.27 N (rounded to two decimal places)

vertical component = 120 N * sine(130 degrees)

vertical component ≈ 104.10 N (rounded to two decimal places)

Therefore, the horizontal component of the force is approximately -39.27 N and the vertical component of the force is approximately 104.10 N.