Skip to main content
Ch 10: Interactions and Potential Energy
Knight Calc - Physics for Scientists and Engineers 5th Edition
Knight Calc5th EditionPhysics for Scientists and EngineersISBN: 9780137344796Non è quello che usi tu?Cambia libro di testo
Tutti i libri di testoKnight Calc 5th EditionCh 10: Interactions and Potential EnergyProblema 1a
Capitolo 10, Problema 1a

A system of two objects has ΔKtot=7 J\(\Delta\) K_{tot}=7\(\text{ }\)J and ΔU=−5 J\(\Delta\) U=-5\(\text{ }\)J. How much work is done by interaction forces?

Guida verificata passo dopo passo
1
Step 1: Begin by recalling the work-energy principle, which states that the total work done on a system is equal to the change in its total mechanical energy. The total mechanical energy is the sum of the kinetic energy (K) and potential energy (U).
Step 2: Write the equation for the total work done by interaction forces: \( W_{int} = \Delta K_{tot} + \Delta U \). Here, \( \Delta K_{tot} \) is the change in total kinetic energy, and \( \Delta U \) is the change in potential energy.
Step 3: Substitute the given values into the equation. From the problem, \( \Delta K_{tot} = 7 \, \text{J} \) and \( \Delta U = -5 \, \text{J} \). The equation becomes \( W_{int} = 7 \, \text{J} + (-5 \text{J}) \).
Step 4: Simplify the expression to find the total work done by interaction forces. Combine the values of \( \Delta K_{tot} \) and \( \Delta U \) to determine \( W_{int} \).
Step 5: Conclude that the work done by interaction forces is the result of the sum calculated in Step 4. This represents the energy transferred due to the interaction forces acting within the system.

Risposta video verificata per un problema simile:

Questa soluzione video è stata consigliata dai nostri tutor come utile per risolvere questo problema.
Durata del video:
1m

Concetti chiave

Ecco i concetti essenziali che devi comprendere per rispondere correttamente alla domanda.

Work-Energy Theorem

The Work-Energy Theorem states that the work done on an object is equal to the change in its kinetic energy. In a system of multiple objects, the total work done by all forces acting on the system can be related to the total change in kinetic energy, which is crucial for solving problems involving motion and energy transfer.
Video consigliato:
Percorso guidato
04:10
The Work-Energy Theorem

Conservation of Energy

The principle of conservation of energy asserts that energy cannot be created or destroyed, only transformed from one form to another. In this context, the total mechanical energy of the system, which includes kinetic and potential energy, remains constant unless acted upon by external forces, allowing us to relate changes in kinetic and potential energy to work done.
Video consigliato:
Percorso guidato
06:24
Conservation Of Mechanical Energy

Interaction Forces

Interaction forces refer to the forces that act between objects in a system, such as gravitational, electromagnetic, or contact forces. These forces can do work on the objects, leading to changes in their kinetic and potential energy. Understanding the nature of these forces is essential for calculating the work done in a system involving multiple objects.
Video consigliato:
Percorso guidato
06:48
Intro to Centripetal Forces
Pratica correlata
Domanda del libro di testo

The free-fall acceleration on a large asteroid, in the vacuum of space, is 0.15 m/s2. A spacecraft hovering 500 m above the surface drops a 25 kg payload wrapped in a padded jacket. What is the payload's impact speed?

2648
views
Domanda del libro di testo

A 55 kg skateboarder wants to just make it to the upper edge of a 'quarter pipe,' a track that is one-quarter of a circle with a radius of 3.0 m. What speed does he need at the bottom?

2096
views
Domanda del libro di testo

A system consists of interacting objects A and B, each exerting a constant 3.0 N pull on the other. What is ∆U for the system if A moves 1.0 m toward B while B moves 2.0 m toward A?

2179
views