Download the App!

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

(II) Using focused laser light, optical tweezers can apply aforce of about 10 $\mathrm{pN}$ to a 1.0 -\mum diameter polystyrenebead, which has a density about equal to that of water: a volume of 1.0 $\mathrm{cm}^{3}$ has a mass of about 1.0 $\mathrm{g}$ . Estimate thebead's acceleration in $g^{\prime} \mathrm{s}$ .

Get the answer to your homework problem.

Try Numerade free for 7 days

Like

Report

$2000 \mathrm{g}^{\prime} \mathrm{s}$

Physics 101 Mechanics

Chapter 4

Dynamics: Newton's Laws of Motion

Motion Along a Straight Line

Motion in 2d or 3d

Newton's Laws of Motion

Applying Newton's Laws

Moment, Impulse, and Collisions

Rutgers, The State University of New Jersey

University of Washington

University of Winnipeg

McMaster University

Lectures

03:28

Newton's Laws of Motion are three physical laws that, laid the foundation for classical mechanics. They describe the relationship between a body and the forces acting upon it, and its motion in response to those forces. These three laws have been expressed in several ways, over nearly three centuries, and can be summarised as follows: In his 1687 "Philosophiæ Naturalis Principia Mathematica" ("Mathematical Principles of Natural Philosophy"), Isaac Newton set out three laws of motion. The first law defines the force F, the second law defines the mass m, and the third law defines the acceleration a. The first law states that if the net force acting upon a body is zero, its velocity will not change; the second law states that the acceleration of a body is proportional to the net force acting upon it, and the third law states that for every action there is an equal and opposite reaction.

04:30

In classical mechanics, impulse is the integral of a force, F, over the time interval, t, for which it acts. In the case of a constant force, the resulting change in momentum is equal to the force itself, and the impulse is the change in momentum divided by the time during which the force acts. Impulse applied to an object produces an equivalent force to that of the object's mass multiplied by its velocity. In an inertial reference frame, an object that has no net force on it will continue at a constant velocity forever. In classical mechanics, the change in an object's motion, due to a force applied, is called its acceleration. The SI unit of measure for impulse is the newton second.

02:08

(II) Using focused laser l…

06:25

Using focused laser light,…

04:00

(II) Laser light can be fo…

03:30

03:29

A 654-nm laser whose beam …

01:33

A $1.0-\mathrm{mW}$ laser …

01:57

(II) A low-power laser use…

03:58

01:55

03:08

06:33

One cubic centimeter $\lef…

02:53

03:11

Additional ProblemsIn …

02:40

(II) The density of water …

02:58

Lasers have been used to s…

is that we can say that the acceleration of optics divided by the acceleration due to gravity G would be equal to M times acceleration of optics divided by M g. The weight. And that's simply by multiplying em over m, which we're allowed to do because M over em would essentially be multiplying this buy one. And so we can set. This is gonna be equal to the force of the optics divided by MG. Once again, At this point, we can say that this is going to equal the force of the optics and we need to create a force about things that we need to create an equation for mass. So mass is essentially just a density times a volume. And we have a bead. So we're going to approximate the beat as a perfect sphere, and we're gonna see that the mass is going to be equal to the density times four over three pie are cubed. And then this would be, of course, most clouded by G. And at this point, we can solve, So this is gonna equal. This would be 10 times 10 to the negative 12 Newton's, and then this would be divided by the density. So 10 to the third kilograms per meter square perimeter cubes rather, uh, times 4/3 pi at 10 times the radius cubed. So this would be five times 10 to the negative seventh meters cute and then again times 9.8 meters per second squared. And at this point, this is gonna equal Ah, 1949. And then the ah unit would of course, be in G's because we divided by Jeez. So this would be our answer 1949 G's. That is the end of the solution. Thank you for watching.

View More Answers From This Book

Find Another Textbook

02:20

penstax TUTOR Bom710 11/112113 14 15 16 17 18,1920 210227) Consider …

03:13

8. A criminal is escaping across a rooftop and runs off the roof horizontall…

01:59

Q2. Water is flowing in a fire hose with a velocity of 1.0 m/s and a pressur…

00:42

4) (9 pts) At the instant t=1 s is the speed of A greater than, less than; o…

02:33

2) The 90 UF capacitor in a defribillator unit supplies an average of 6500 W…

01:19

How long tg does it take for the balls to reach the ground? Use 10 m/s? for …

03:22

10_ A car on a circular track starts from rest at point A and moves counterc…

04:41

Projectile Motion Ranking Task15 of 18Six baseball throws are shown …

09:52

Calculate the tension in the left rope Express your answer using two signifi…

01:21

3. A ball and a magnet are released simultaneously from the same height: The…