I have zero background in Differential Equations, but is this what you mean?
Setting up Net Force: Net Force = [200000-100x] - [0.18v^2]
Work = Integral from 0 to d of [200000-100x] - [0.18v^2] dx = -50 d (d + 0.0036 v^2 - 4000) according to an online calculator.
Kinetic Energy: Then I set -50...
Homework Statement
I'd like to understand Drag Force better; but school always ignores it. Thus, I'm asking this purely out of obssession. I'm picturing a scenario where a non-constant force is pushing an object horizontally, ignoring friction. But, I'd like to understand how Drag Force...
Homework Statement
With a function that gives Force with respect to Displacement (F(x) = 2000-100x), is there a way to find a general formula for the time it takes from displacement 0 to 20? The force is acting on an object, pushing it horizontally. Assume no friction and no air resistance...
If I integrate acceleration with respect to displacement, would I get velocity with respect to displacement? Velocity with respect to displacement is what I'm trying to find.
Here is a made up function of force changing with respect to displacement: F(x) = 2000 - 100x
The force is applied onto an object, pushing it horizontally. Ignore friction and air resistance. The mass is constant. I'm trying to find Velocity with respect to displacement.
Attempt 1:
Knowing F =...