You know the sum of the forces ∑F⃗ exerted on an object of mass m during Δt seconds. The object

Name: Problem 23, Chapter 2: College Physics
Uploaded: 2020-04-22T00:30:23-08:00
Duration: 2 min 19 s
Channel: Chris Murray
Description: You know the sum of the forces ∑F⃗ exerted on an object of mass m during Δt seconds. The object is at rest at the beginning of the time interval. List three physical quantities that you can determine about that object's motion using this information. Then explain how you will determine them.

step 1 Okay, so you know the some of the forces acting on an object of mass M during delta T seconds, r

Question

You know the sum of the forces $\sum \vec{F}$ exerted on an object of mass $m$ during $\Delta t$ seconds. The object is at rest at the beginning of the time interval. List three physical quantities that you can determine about that object's motion using this information. Then explain how you will determine them.

   You know the sum of the forces $\sum \vec{F}$ exerted on an object of mass $m$ during $\Delta t$ seconds. The object is at rest at the beginning of the time interval. List three physical quantities
that you can determine about that object's motion using this information. Then explain how you will determine them.

College Physics

Eugenia Etkina,… 1st Edition

Chapter 2, Problem 23

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Solved by Expert Chris Murray

04/22/2020

Step 1

The acceleration is given by the sum of the forces divided by the mass of the object. This can be represented mathematically as: \[a=\frac{\sum F}{m}\] Show more…

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You know the sum of the forces $\sum \vec{F}$ exerted on an object of mass $m$ during $\Delta t$ seconds. The object is at rest at the beginning of the time interval. List three physical quantities that you can determine about that object's motion using this information. Then explain how you will determine them.

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Key Concepts

Kinematic Equations for Constant Acceleration

Once the acceleration is known, kinematic equations can be used to relate acceleration, time, final velocity, and displacement. These equations enable the calculation of how far the object moves and how its velocity changes over the specified time interval.

Newton's Second Law

This law establishes the relationship between force, mass, and acceleration with the formula F = m * a. It is crucial for determining how an applied net force influences the acceleration of an object, which is the foundational step in understanding its subsequent motion.

Impulse-Momentum Theorem

The impulse-momentum theorem relates the impulse (product of force and the time interval over which it acts) to the change in momentum of an object. Given that the object is initially at rest, calculating the impulse allows you to determine its final momentum and therefore its final velocity.

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