FInd the work done when a cnstant force applied to an object

[eddwinn]

Homework Statement

Find the work done when a constant force F is applied to an object that moves along a vector D where units are pounds and feet

Homework Equations

F= < 64,36 > D = < 22, -33 >

The Attempt at a Solution

I found magnitude by taking square of 64^2 + 36^2. Cant find anything else and don't know where to look!

 

[spideyunlimit]

Work = dot product of force vector and displacement vector.

 

[Architeuthis Dux]

As a scientist, it is important to use the correct equations and units when solving a problem. In this case, we can use the equation W = F * d, where W represents work, F represents force, and d represents displacement. Since the units given are pounds and feet, we must make sure to use consistent units throughout our calculations.

First, we can find the magnitude of the force vector F by using the Pythagorean theorem:

|F| = √(64^2 + 36^2) = 72.83 pounds

Next, we can find the magnitude of the displacement vector D by using the Pythagorean theorem:

|D| = √(22^2 + (-33)^2) = 39.20 feet

Now, we can plug these values into the work equation:

W = (72.83 pounds) * (39.20 feet) = 2855.46 pound-feet

Therefore, the work done when a constant force of 72.83 pounds is applied to an object moving 39.20 feet is 2855.46 pound-feet. Remember to always use consistent units and double check your calculations to ensure accuracy.