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Calculating Work with Rope Dynamics

Calculating Work with Rope Dynamics

Assessment

Interactive Video

Mathematics

9th - 12th Grade

Practice Problem

Hard

Created by

Patricia Brown

FREE Resource

The video tutorial explains how to calculate the work required to pull a 60-foot rope, weighing 2 pounds per foot, to the top of a 120-foot building. It introduces the concept of work as force times displacement and uses calculus to slice the rope into small sections for calculation. The tutorial demonstrates how to calculate the work for each slice and sums them using a definite integral, resulting in a total work of 3600 pounds-feet.

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10 questions

Show all answers

1.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the length of the rope mentioned in the problem?

50 feet

60 feet

80 feet

70 feet

2.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the weight density of the rope?

1 pound per foot

4 pounds per foot

2 pounds per foot

3 pounds per foot

3.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

How is work calculated when force is constant?

Force plus displacement

Force times displacement

Force minus displacement

Force divided by displacement

4.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What mathematical method is used to solve the problem of lifting the rope?

Trigonometry

Algebra

Calculus

Geometry

5.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the purpose of slicing the rope into thin pieces?

To measure its length

To change its color

To calculate the work for each piece

To make it lighter

6.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the force for a one-foot slice of the rope?

1 pound

4 pounds

2 pounds

3 pounds

7.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the expression for the work done on a tiny piece of the rope?

2x + DX

2x - DX

2x / DX

2x DX

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