Work By Variable Forces (Springs) Video Lessons

Concept

# Problem: A particle is subject to a force Fx that varies with position as shown in Figure P7.15. Find the work done by the force on the particle as it moves (a) from x = 0 to x = 5.00 m, (b) from x = 5.00 m to x = 10.0 m, and (c) from x = 10.0 m to x = 15.0 m. (d) What is the total work done by the force over the distance x = 0 to x = 15.0 m?

###### FREE Expert Solution

The work done by the force:

$\overline{){\mathbf{W}}{\mathbf{=}}{{\mathbf{\int }}}_{{\mathbf{x}}_{\mathbf{1}}}^{{\mathbf{x}}_{\mathbf{2}}}{\mathbf{F}}{\mathbf{\left(}}{\mathbf{x}}{\mathbf{\right)}}{\mathbf{d}}{\mathbf{x}}}$

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###### Problem Details

A particle is subject to a force Fx that varies with position as shown in Figure P7.15. Find the work done by the force on the particle as it moves (a) from x = 0 to x = 5.00 m, (b) from x = 5.00 m to x = 10.0 m, and (c) from x = 10.0 m to x = 15.0 m. (d) What is the total work done by the force over the distance x = 0 to x = 15.0 m?

What scientific concept do you need to know in order to solve this problem?

Our tutors have indicated that to solve this problem you will need to apply the Work By Variable Forces (Springs) concept. You can view video lessons to learn Work By Variable Forces (Springs). Or if you need more Work By Variable Forces (Springs) practice, you can also practice Work By Variable Forces (Springs) practice problems.

What professor is this problem relevant for?

Based on our data, we think this problem is relevant for Professor Voronine's class at USF.

What textbook is this problem found in?

Our data indicates that this problem or a close variation was asked in Physics for Scientists and Engineers - Serway Calc 9th Edition. You can also practice Physics for Scientists and Engineers - Serway Calc 9th Edition practice problems.