**Physics Problem: Calculating Work****Problem Statement:**A uniform cable hanging over the edge of a tall building is 80 feet long and weighs 45 pounds. How much work is required to pull 20 feet of the cable to the top of the building?**Explanation:**When solving this problem, it’s important to understand the concept of work in physics, specifically when dealing with gravity. Work is calculated as the force applied over a distance.To solve this problem, we can follow these steps:1. **Determine the force per unit length of the cable:** - Total weight of the cable: 45 lb - Total length of the cable: 80 ft - Force per unit length (weight per foot) = Total weight / Total length \[ \frac{45 \text{ lb}}{80 \text{ ft}} = 0.5625 \text{ lb/ft} \]2. **Calculate the force required to lift 20 feet of the cable:** - Force for 20 ft section = 20 ft * 0.5625 lb/ft = 11.25 lb3. **Determine the average height each section is lifted:** - Since the cable is being pulled up uniformly, the average height that each section is lifted can be found by taking the midpoint of the 20-foot section. - Midpoint of 0 to 20 ft = 10 ft4. **Calculate the amount of work done:** - Work = Force * Distance \[ \text{Work} = 11.25 \text{ lb} \times 10 \text{ ft} = 112.5 \text{ foot-pounds} \]So, **112.5 foot-pounds** of work is required to pull 20 feet of the cable to the top of the building. **Note:**- Ensure students understand the application of integration if they are advanced enough in their studies to handle a more precise calculation.- For a simpler level, understanding the basic concepts of force, work, and distance is key.

Answered: A uniform cable hanging over the edge…

A uniform cable hanging over the edge of a tall building is 80 ft long and weighs 45 lb. How much work is required to pull 20 ft of the cable to the top of the building?

College Physics

11th Edition

ISBN:9781305952300

Author:Raymond A. Serway, Chris Vuille

Publisher:Raymond A. Serway, Chris Vuille

Chapter1: Units, Trigonometry. And Vectors

Section: Chapter Questions

Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...

See similar textbooks

Similar questions

A man can manage a power output of 180. How long will it take him to lift the a 40 kg box to a height of 2 m?
8. A vertical spring is 10.0 cm long when carrying a load of 20.0 kg and 12.0 long when carrying a load of 32.0 kg. How much work is required to stretch the spring from 10.0 cm to 15.0 cm?
A 5 m rope weighing 0.50 kg per m is hanging from the ceiling. Find the work required to lift the bottom end of the rope to the ceiling so that it is level with the upper end.
Suppose that as part of their training, the football players of Central Luzon State University went up a stair in 66 s. The length of the stair is 140 m and inclined at 32°. Calculate the average power required for a player of mass 95 kg.
Jake bungee jumps from a hot air balloon 55 m above the ground. She knows that 5.0 m of bungee cord will stretch by 1.5 m with her weight. What length of rope should she use to just miss the ground?
A 2 m rope weighing 0.75 kg per m is hanging from the ceiling. Find the work required to lift the bottom end of the rope to the ceiling so that it is level with the upper end
A 15 m chain weighing 30 kg hangs from the top of a tall building. Find the work required to haul the entire chain to the top of the building.
A cable with length 17m has a mass of 34kg and is hanging off of the side of a building. Acceleration due to gravity is g = 9.8 m/s^2. Find the work done in winding up the cable. Round your answer to the nearest tenth if necessary.
A penny is dropped from the top of the statue of liberty. The statue if liberty is 93 m tall. If a penny has about 3 jould of gravitational potential energy at the top, how much kinetic energy will it have half way point (45.6 m)