A gardener pushes a box of tools across a driveway by applying a 27.5- N force that pushes downward at an angle of 32.8 o with respect to the horizontal. How much work is done if the box moves 3.25 m in the horizontal direction?

Well, let's calculate the work done by the gardener using a little bit of clown math!

First, we need to find the component of the force that acts in the horizontal direction. To do that, we use some trigonometry. The horizontal component of the force can be found by using the cosine of the angle:

Horizontal component = 27.5 N * cos(32.8°)

Now, we can calculate the work done by multiplying the force by the distance in the horizontal direction:

Work = 27.5 N * cos(32.8°) * 3.25 m

Doing the math, we find the work done is approximately equal to...wait for it... 85.675537 moments of pure garden tool transportation!

I hope that brought a smile to your face. If you have any more questions, feel free to ask!

To determine the work done in pushing the box of tools, we can use the equation:

Work = Force * Distance * cos(theta)

Where:
- Work is the amount of work done (in Joules, J)
- Force is the applied force (in Newton, N)
- Distance is the displacement in the horizontal direction (in meters, m)
- theta is the angle between the force and the horizontal direction (in degrees)

Given:
- Force = 27.5 N
- Distance = 3.25 m
- theta = 32.8 degrees

Let's calculate the work done step by step.

Step 1: Convert the angle from degrees to radians.
theta_rad = theta * (pi / 180)
theta_rad = 32.8 * (pi / 180)
theta_rad ≈ 0.572

Step 2: Calculate the work done using the formula.
Work = Force * Distance * cos(theta_rad)
Work = 27.5 * 3.25 * cos(0.572)
Work ≈ 84.30 J

Therefore, the gardener does approximately 84.30 Joules of work in pushing the box of tools.

To determine the work done by the gardener, we need to use the formula for work:

Work = Force x Distance x Cosine(angle)

In this case, the applied force is 27.5 N and the angle is 32.8 degrees. The distance moved in the horizontal direction is 3.25 m.

To find the work done, we can substitute these values into the formula:

Work = 27.5 N x 3.25 m x Cos(32.8 degrees)

First, we need to convert the angle from degrees to radians, because the trigonometric functions in most programming languages work with radians.

Angle in radians (θ) = Angle in degrees x (π/180)

Using this conversion, we get:

Angle in radians = 32.8 degrees x (π/180) radians/degree

Now we can calculate the work using the updated formula:

Work = 27.5 N x 3.25 m x Cos(32.8 degrees x (π/180))

Evaluating this expression will give us the answer.