Download the App!

Get 24/7 study help with the Numerade app for iOS and Android! Enter your email for an invite.

Get the answer to your homework problem.

Try Numerade free for 7 days

Like

Report

16.6 Uniform Circular Motion and Simple Harmonic Motion(a)What is the maximum velocity of an $85.0-\mathrm{kg}$ person bouncing on a bathroom scale having a force constant of $1.50 \times 10^{6} \mathrm{N} / \mathrm{m},$ if the amplitude of the bounce is 0.200 $\mathrm{cm} ?$ (b) What is the maximum energy stored in the spring?

$V_{\max }=0.26568 \mathrm{m} / \mathrm{s}$$E_{\max }=3 \mathrm{J}$

Physics 101 Mechanics

Physics 103

Chapter 16

Oscillatory Motion and Waves

Periodic Motion

Wave Optics

Rutgers, The State University of New Jersey

University of Washington

Hope College

Lectures

02:51

In physics, wave optics is…

10:02

Interference is a phenomen…

01:41

A 0.12 kg body undergoes s…

03:25

A $100 \mathrm{g}$ ball at…

08:38

A $0.500-\mathrm{kg}$ obje…

07:20

An object of mass $m$ move…

03:33

A 1.50-kg mass on a spring…

04:51

02:39

06:14

A 1.50 -kg mass on a sprin…

06:48

A $1.00-\mathrm{kg}$ glide…

05:27

A 1.00 -kg glider attached…

03:21

A $175-$ glider on a horiz…

01:29

A spring with spring const…

04:46

(a) A novelty clock has a …

01:49

A novelty clock has a 0.01…

01:53

A 175-g glider on a horizo…

02:48

A 326 -g object is attache…

A 326-g object is attached…

03:51

A 175 -g glider ona horizo…

01:28

A person bounces up and do…

02:04

A mass of 240 g oscillates…

so maximum velocity off oscillation is given by amplitude times, angular frequency amplitude and angular frequency square. With Cabe, I am on amplitude is given to us as 0.2 centimeters. So 0.2 times 10 power negative two meters square Rooter off K, which is 1.5 times 10 power six divided by the mass, which is 85 kilos. So let's do this calculation. So this gives me answer as zero point 26 57 meters per seconds. That that's the maximum velocity. And in the next part of the question, we are asked to find the maximum energy stored in the spring. The maximum energy E is equal to either maximum kinetic energy or maximum potential energy. So we know maximum kinetic energy because we know velocity. So how mass? Which is 85 times velocity, which is 0.26 57 squared. So let's do this calculation. Answer is just three dudes. So this is for the party. Thank you.

View More Answers From This Book

Find Another Textbook

Numerade Educator

In physics, wave optics is the study of the behavior of light, or other elec…

Interference is a phenomenon in which two waves superpose to form a resultan…

A 0.12 kg body undergoes simple harmonic motion of amplitude 8.5 $\mathrm{cm…

A $100 \mathrm{g}$ ball attached to a spring with spring constant $2.5 \math…

A $0.500-\mathrm{kg}$ object attached to a spring with a force constant of 8…

An object of mass $m$ moves in simple harmonic motion with amplitude 12.0 $\…

A 1.50-kg mass on a spring has displacement as a function of time given by $…

A 1.50 -kg mass on a spring has displacement as a function of time given by …

A $1.00-\mathrm{kg}$ glider attached to a spring with a force constant of 25…

A 1.00 -kg glider attached to a spring with a force constant of $25.0 \mathr…

A $175-$ glider on a horizontal, frictionless air track is attached to a fix…

A spring with spring constant $15 \mathrm{N} / \mathrm{m}$ hangs from the ce…

(a) A novelty clock has a 0.0100-kg-mass object bouncing on a spring that ha…

A novelty clock has a 0.0100 -kg mass object bouncing on a spring that has a…

A 175-g glider on a horizontal, frictionless air track is attached to a fixe…

A 326 -g object is attached to a spring and executes simple harmonic motion …

A 326-g object is attached to a spring and executes simple harmonic motion w…

A 175 -g glider ona horizontal, frictionless air trackis attached to a fixed…

A person bounces up and down on a trampoline, while always staying in contac…

A mass of 240 g oscillates on a horizontal frictionless surface at a frequen…

02:17

Some stove tops are smooth ceramic for easy cleaning. If the ceramic is 0.60…

05:11

(a) What is the decibel level of a sound that is twice as intense as a 90.0-…

03:10

Ten cars in a circle at a boom box competition produce a 120-dB sound intens…

00:48

Show that an intensity of $10^{-12} \mathrm{W} / \mathrm{m}^{2}$ is the same…

01:54

Show that units of V/m and N/C for electric field strength are indeed equiva…

04:03

(a) What is the change in entropy if you start with 100 coins in the 45 head…

00:45

How tall must a water-filled manometer be to measure blood pressures as high…

01:38

Suppose a clay model of a koala bear has a mass of 0.200 $\mathrm{kg}$ and s…

Find the ratio of the new/old periods of a pendulum if the pendulum were tra…

05:54

An oil gusher shoots crude oil 25.0 m into the air through a pipe with a 0.1…