Download the App!

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

(II) The force on a particle of mass $m$ is given by $\vec{\mathbf{F}}=26 \hat{\mathbf{i}}-12 t^{2} \hat{\mathbf{j}}$ where $F$ is in $\mathrm{N}$ and $t$ in s. What will be the change in the particle's momentum between $t=1.0 \mathrm{s}$ and $t=2.0 \mathrm{s} ?$

Get the answer to your homework problem.

Try Numerade free for 7 days

Like

Report

$(26 \hat{i}-28 \vec{j}) k g \cdot m / s$

Physics 101 Mechanics

Chapter 9

Linear Momentum

Motion Along a Straight Line

Kinetic Energy

Potential Energy

Energy Conservation

Moment, Impulse, and Collisions

Rutgers, The State University of New Jersey

University of Sheffield

University of Winnipeg

Lectures

04:05

In physics, a conservative force is a force that is path-independent, meaning that the total work done along any path in the field is the same. In other words, the work is independent of the path taken. The only force considered in classical physics to be conservative is gravitation.

03:47

In physics, the kinetic energy of an object is the energy which it possesses due to its motion. It is defined as the work needed to accelerate a body of a given mass from rest to its stated velocity. Having gained this energy during its acceleration, the body maintains this kinetic energy unless its speed changes. The same amount of work is done by the body in decelerating from its current speed to a state of rest. The kinetic energy of a rotating object is the sum of the kinetic energies of the object's parts.

02:00

"The force on particl…

01:48

The momentum $p$ of a part…

02:52

The velocity of a 1.2 -kg …

02:58

A 0.25 -kg particle is mov…

01:25

A particle moving at const…

01:39

A particle of mass $m$ is …

01:14

The force $F$ acting on a …

01:41

(II) A particle of rest ma…

01:04

The force acting on a bod…

02:31

$$\begin{aligned} \tex…

03:44

A particle of mass $50 \ma…

02:07

A particle of mass $2 \mat…

02:50

A particle of mass $2 \ma…

05:24

An alpha-particle $\left(m…

03:32

What is the momentum (as a…

momentum is given by the force is given by the rate of change of momentum. Right. So, uh, you take the derivative momentum, you get forced. Therefore, to get force to get momentum from force, you take the integral what force? Overtime. Um And so, uh, in this case, you want to take the integral of the given force from Tickles. One second to tickles. Two seconds. Okay. And so, uh, the forest is 26 t I hat the extraction minus. Um Ah. It will be, um Oh, whoops. It's just just 2060 I hot. Ah, minus 12. T squared J hat. Okay. Ah. And said the the, uh, the integral will be done from two equals 12 t equals two on. So, uh, the we integrate the two terms separately. We get 26 times t. There's no T factor. There's 26 times t I had minus ah to, um 12 uh, over two plus one. So that's 12 over 304 times t to the toothless won t cubed in the jihad direction. And we integrate and agreed this on. We take this expression between the bounds tickles one and equals two. And what we get is, um, in terms off, I You have 52 uh, minus 26. I had minus off books minus 32 minus four times a day. That's 32 minus, um, four times One is four J hats. So you see, you get 26 I hot minus 28 chat, um, kg meters per second as your momentum, and that's it.

View More Answers From This Book

Find Another Textbook

Numerade Educator