Problem

Solve the problems in related rates. The length $…

Problem 10 Easy Difficulty

Solve the problems in related rates.
The kinetic energy $K$ (in $J$ ) of an object is given by $K=\frac{1}{2} m v^{2}$, where $m$ is the mass (in $\mathrm{kg}$ ) of the object and $v$ is its velocity. If a $250-\mathrm{kg}$ wrecking ball accelerates at $5.00 \mathrm{m} / \mathrm{s}^{2}$, how fast is the kinetic energy changing when $v=30.0 \mathrm{m} / \mathrm{s} ?$ (Hint: $\operatorname{acceleration}=\frac{d v}{d t}.$)

Answer

Related Courses

Calculus 1 / AB

Basic Technical Mathematics with Calculus

Chapter 24

Applications of the Derivative

Section 4

Related Rates

Discussion

You must be signed in to discuss.

Top Calculus 1 / AB Educators

Watch More Solved Questions in Chapter 24

Problem 1

Problem 2

Problem 3

Problem 4

Problem 5

Problem 6

Problem 7

Problem 8

Problem 9

Problem 10

Problem 11

Problem 12

Problem 13

Problem 14

Problem 15

Problem 16

Problem 17

Problem 18

Problem 19

Problem 20

Problem 21

Problem 22

Problem 23

Problem 24

Problem 25

Problem 26

Problem 27

Problem 28

Problem 29

Problem 30

Problem 31

Problem 32

Problem 33

Problem 34

Problem 35

Problem 36

Problem 37

Problem 38

Problem 39

Problem 40

Problem 41

Problem 42

Video Transcript

We're given the scenario that if he is to 50 and Emma's five, what will the velocity be? And so we're gonna use that information, plug it into the formula and solve. So we're gonna replace E with the number 2 50 and we're gonna replace the M with the number five and going to try and solve for B squared. So first things first, you have to 50 half of five is 2.52 pi b squared right both side by 2.5. And when you do that to get the visa, it alone on the right answer to drop by 2.5 ends up being 100 birth where Ruth sides of our velocity is gonna end up being 10. So meters earns getting an answer.

We have video lessons for 0.06% of the questions in this textbook

Allyn J. Washington, Richard S. Evans

Basic Technical Mathematics with Calculus

View More Answers From This Book

Find Another Textbook

Problem

Solve the problems in related rates. The length $…

Problem 10 Easy Difficulty

Answer

Related Courses

Basic Technical Mathematics with Calculus

Related Topics

Discussion

Top Calculus 1 / AB Educators

Grace H.

Anna Marie V.

Heather Z.

Caleb E.

Calculus 1 / AB Courses

Precalculus Review - Intro

Functions on the Real Line - Overview

Recommended Videos

Watch More Solved Questions in Chapter 24

Video Transcript

Allyn J. Washington, Richard S. Evans

Basic Technical Mathematics with Calculus

Grace H.

Anna Marie V.

Heather Z.

Caleb E.

Precalculus Review - Intro

Functions on the Real Line - Overview

Basic Technical Mathematics with Calculus

Grace H.

Anna Marie V.

Heather Z.

Caleb E.

Precalculus Review - Intro

Functions on the Real Line - Overview

Allyn J. Washington, Richard S. EvansBasic Technical Mathematics with Calculus

Grace H.

Anna Marie V.

Heather Z.

Caleb E.

Precalculus Review - Intro

Functions on the Real Line - Overview

Allyn J. Washington, Richard S. Evans

Basic Technical Mathematics with Calculus