BuyFindarrow_forward

Multivariable Calculus

8th Edition
James Stewart
ISBN: 9781305266643

Solutions

Chapter
Section
BuyFindarrow_forward

Multivariable Calculus

8th Edition
James Stewart
ISBN: 9781305266643
Textbook Problem

A force with magnitude 20 N acts directly upward from the .xy-plane on an object with mass 4 kg. The object starts at the origin with initial velocity v(0) = ij. Find its position function and its speed at time t.

To determine

To find: The speed at time t.

Explanation

Given:

|F|=20N, m=4kg, r(0)=0 and v(0)=ij.

Formula used:

Write the expression for second law of motion.

F(t)=ma(t) (1)

Here,

F(t) is the force,

m is the mass, and

a(t) is the acceleration.

Write the expression to find the acceleration.

a(t)=v(t) (2)

Write the expression to find the speed.

Speed=|v(t)| (3)

The force with magnitude 20 N acts upwards from the xy- plane, that is F(t)=20k (force acts inz-plane).

Substitute 20k for F(t) and 4 for m in equation (1),

20k=(4)a(t)a(t)=20k4a(t)=5k

Modify equation (2)

Still sussing out bartleby?

Check out a sample textbook solution.

See a sample solution

The Solution to Your Study Problems

Bartleby provides explanations to thousands of textbook problems written by our experts, many with advanced degrees!

Get Started

Chapter 13 Solutions

Show all chapter solutions add
Sect-13.1 P-11ESect-13.1 P-12ESect-13.1 P-13ESect-13.1 P-14ESect-13.1 P-15ESect-13.1 P-16ESect-13.1 P-17ESect-13.1 P-18ESect-13.1 P-19ESect-13.1 P-20ESect-13.1 P-21ESect-13.1 P-22ESect-13.1 P-23ESect-13.1 P-24ESect-13.1 P-25ESect-13.1 P-26ESect-13.1 P-27ESect-13.1 P-28ESect-13.1 P-29ESect-13.1 P-30ESect-13.1 P-31ESect-13.1 P-32ESect-13.1 P-38ESect-13.1 P-39ESect-13.1 P-40ESect-13.1 P-41ESect-13.1 P-42ESect-13.1 P-43ESect-13.1 P-44ESect-13.1 P-45ESect-13.1 P-46ESect-13.1 P-49ESect-13.1 P-50ESect-13.1 P-53ESect-13.2 P-1ESect-13.2 P-2ESect-13.2 P-3ESect-13.2 P-4ESect-13.2 P-5ESect-13.2 P-6ESect-13.2 P-7ESect-13.2 P-8ESect-13.2 P-9ESect-13.2 P-10ESect-13.2 P-11ESect-13.2 P-12ESect-13.2 P-13ESect-13.2 P-14ESect-13.2 P-15ESect-13.2 P-16ESect-13.2 P-17ESect-13.2 P-18ESect-13.2 P-19ESect-13.2 P-20ESect-13.2 P-21ESect-13.2 P-22ESect-13.2 P-23ESect-13.2 P-24ESect-13.2 P-25ESect-13.2 P-26ESect-13.2 P-27ESect-13.2 P-28ESect-13.2 P-29ESect-13.2 P-30ESect-13.2 P-31ESect-13.2 P-32ESect-13.2 P-33ESect-13.2 P-34ESect-13.2 P-35ESect-13.2 P-36ESect-13.2 P-37ESect-13.2 P-38ESect-13.2 P-39ESect-13.2 P-40ESect-13.2 P-41ESect-13.2 P-42ESect-13.2 P-43ESect-13.2 P-44ESect-13.2 P-45ESect-13.2 P-46ESect-13.2 P-47ESect-13.2 P-48ESect-13.2 P-49ESect-13.2 P-50ESect-13.2 P-51ESect-13.2 P-52ESect-13.2 P-53ESect-13.2 P-54ESect-13.2 P-55ESect-13.2 P-56ESect-13.2 P-57ESect-13.2 P-58ESect-13.3 P-1ESect-13.3 P-2ESect-13.3 P-3ESect-13.3 P-4ESect-13.3 P-5ESect-13.3 P-6ESect-13.3 P-7ESect-13.3 P-8ESect-13.3 P-9ESect-13.3 P-10ESect-13.3 P-11ESect-13.3 P-12ESect-13.3 P-13ESect-13.3 P-14ESect-13.3 P-15ESect-13.3 P-16ESect-13.3 P-17ESect-13.3 P-18ESect-13.3 P-19ESect-13.3 P-20ESect-13.3 P-21ESect-13.3 P-22ESect-13.3 P-23ESect-13.3 P-24ESect-13.3 P-25ESect-13.3 P-26ESect-13.3 P-27ESect-13.3 P-28ESect-13.3 P-29ESect-13.3 P-30ESect-13.3 P-31ESect-13.3 P-32ESect-13.3 P-33ESect-13.3 P-38ESect-13.3 P-39ESect-13.3 P-42ESect-13.3 P-43ESect-13.3 P-44ESect-13.3 P-45ESect-13.3 P-46ESect-13.3 P-47ESect-13.3 P-48ESect-13.3 P-49ESect-13.3 P-50ESect-13.3 P-53ESect-13.3 P-55ESect-13.3 P-56ESect-13.3 P-58ESect-13.3 P-59ESect-13.3 P-60ESect-13.3 P-62ESect-13.3 P-63ESect-13.3 P-64ESect-13.3 P-65ESect-13.3 P-66ESect-13.3 P-67ESect-13.4 P-1ESect-13.4 P-3ESect-13.4 P-4ESect-13.4 P-5ESect-13.4 P-6ESect-13.4 P-7ESect-13.4 P-8ESect-13.4 P-9ESect-13.4 P-10ESect-13.4 P-11ESect-13.4 P-12ESect-13.4 P-13ESect-13.4 P-14ESect-13.4 P-15ESect-13.4 P-16ESect-13.4 P-19ESect-13.4 P-20ESect-13.4 P-21ESect-13.4 P-22ESect-13.4 P-23ESect-13.4 P-24ESect-13.4 P-25ESect-13.4 P-26ESect-13.4 P-27ESect-13.4 P-28ESect-13.4 P-29ESect-13.4 P-30ESect-13.4 P-31ESect-13.4 P-32ESect-13.4 P-34ESect-13.4 P-35ESect-13.4 P-36ESect-13.4 P-37ESect-13.4 P-38ESect-13.4 P-39ESect-13.4 P-40ESect-13.4 P-41ESect-13.4 P-42ESect-13.4 P-44ESect-13.4 P-45ESect-13.4 P-46ECh-13 P-1RCCCh-13 P-2RCCCh-13 P-3RCCCh-13 P-4RCCCh-13 P-5RCCCh-13 P-6RCCCh-13 P-7RCCCh-13 P-8RCCCh-13 P-9RCCCh-13 P-1RQCh-13 P-2RQCh-13 P-3RQCh-13 P-4RQCh-13 P-5RQCh-13 P-6RQCh-13 P-7RQCh-13 P-8RQCh-13 P-9RQCh-13 P-10RQCh-13 P-11RQCh-13 P-12RQCh-13 P-13RQCh-13 P-14RQCh-13 P-1RECh-13 P-2RECh-13 P-3RECh-13 P-4RECh-13 P-5RECh-13 P-6RECh-13 P-7RECh-13 P-8RECh-13 P-9RECh-13 P-10RECh-13 P-11RECh-13 P-12RECh-13 P-13RECh-13 P-14RECh-13 P-15RECh-13 P-16RECh-13 P-17RECh-13 P-18RECh-13 P-19RECh-13 P-20RECh-13 P-21RECh-13 P-22RECh-13 P-23RECh-13 P-1PCh-13 P-2PCh-13 P-3PCh-13 P-4PCh-13 P-5PCh-13 P-6PCh-13 P-7PCh-13 P-8PCh-13 P-9P

Additional Math Solutions

Find more solutions based on key concepts

Show solutions add

In Exercises 1728, use the logarithm identities to obtain the missing quantity.

Finite Mathematics and Applied Calculus (MindTap Course List)

Find the derivative of the function. y=1+xe2x

Single Variable Calculus: Early Transcendentals, Volume I

Sketch the polar curve. 12. r = 3 + cos 3

Calculus: Early Transcendentals

Evaluate the integral. 064u(uu3)du

Calculus (MindTap Course List)

In Exercises 1124, find the indicated limits, if they exist. 13. limx1(3x2 + 4) (2x 1)

Applied Calculus for the Managerial, Life, and Social Sciences: A Brief Approach

In Problems 7-34, perform the indicated operations and simplify. 17.

Mathematical Applications for the Management, Life, and Social Sciences

If NAB=69,NA=35, and NB=47, find NAB.

Elementary Geometry For College Students, 7e

Another name for property tax is ____ _____ tax. (18-5)

Contemporary Mathematics for Business & Consumers

f(x) = 12x x3 has a local maximum at: a) x = 0 b) x = 2 c) x = 2 d) f does not have a local maximum

Study Guide for Stewart's Single Variable Calculus: Early Transcendentals, 8th

Explain how individual differences threaten the internal validity of a nonequivalent group design.

Research Methods for the Behavioral Sciences (MindTap Course List)