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

$\bullet$ $\bullet$ A block of ice with mass 2.00 kg slides 0.750 m down aninclined plane that slopes downward at an angle of $36.9^{\circ}$below the horizontal. If the block of ice starts from rest, whatis its final speed? You can ignore friction.

2.97 $\mathrm{m} / \mathrm{s}$

Physics 101 Mechanics

Chapter 7

Work and Energ

Physics Basics

Applying Newton's Laws

Kinetic Energy

Potential Energy

Energy Conservation

Cornell University

Simon Fraser University

Hope College

McMaster University

Lectures

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.

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.

02:30

A block of ice with mass 2…

01:51

A block of ice with mass $…

03:45

01:47

ssm mmh A 42 -kg block of …

08:22

An 8.00-kg block of ice, r…

An $8.00 \mathrm{~kg}$ blo…

09:32

A 6.60 -kg block slides wi…

04:32

A block of ice slides up a…

01:37

A $\mathrm{A} 68.5 \mathrm…

A 68.5-kg skater moving in…

01:21

A 68.5 -kg skater moving i…

Yes. So we were given that a mass of block off Master Keiji is sliding down a slope on the slope is making an angle 36.9 degrees from the horizontal and the part that it travels his 0.75 meters. Now we need to find out the final velocity when the block reaches at the bottom. Now we see are we know that from the work and vegetarian the network is the final candidate Energy Mine is the initial candidate energy. Now, in our case, since the block starts at rest, our initial candidate energy will be zero. So all we have is Networld on which is the final candidate energy on. But we call it Kato as our final point. Also, at this point where the block starts its journey, we know that this is it has a certain height and if we call that height eight so we'll know that there's a potential energy that's involved in the block. Even though there's no kind of energy, there is still potential energy. So at this point were done will be m times c times, age or this is the gravitational potential energy now for H if way if we know that the distance from here to here is 0.75 meters and we know the angle between the horizontal and the ah slow. We know that that's 36 59 decrees. We can use a little trick on DH where you can easily see that age on the height is equal. Do and are the length of the slope time science data where they die is the angle that it makes from with the heart vessel that it makes with the horizontal. So it is, uh, 0.75 meters here. So we know that from combining these two patients, we get W as md and same data. Right? So we have two equations. One is this And here we know that kind of energies have envy spread, so w becomes having these great. So we have two expressions, and if we combine them, we can easily solve for the velocity. So let's see how well do that from here we can write velocity as twice off w divided by am, and then we take the square root of that. Then we can substitute this w over here, and then we'll have an expression with on the MG scientific data. So we will become square root off two times. M g l Scient Ada divided by AM and we can get it off this m finally will get fee as square root. Um, twice off g times l scientific data divided by one since there's no empty. Now let's plug in the numbers and see what we get as velocity. So let me write down their question one more time. So we will be two times g times l scientist from there. Jeez. 9.8. You have a second squared and is given. And 0.75 neater. Then we have signed off 36.9 degree. From there we get the velocity is two point 97 Need over a second. Thank you.

View More Answers From This Book

Find Another Textbook

04:35

$\bullet$ Biological tissues are typically made up of 98$\%$ water. Given th…

04:18

While surveying a cave, a spelunker follows a passage 180 $\mathrm{m}$ strai…

04:17

A meteor streaking through the night sky is located with radar. At point $A$…

05:53

$\bullet$$\bullet$ Find the tension in each cord in Figeure 5.46 if the…

02:46

$\bullet$$\bullet$ If a certain amount of ideal gas occupies a volume $V$ at…

03:07

$\cdot$ $\cdot$ Two tugboats pull a disabled supertanker. Each tug exerts a<…

04:10

$\bullet$ The spin cycles of a washing machine have two angular speeds, 423 …

04:07

Corrective lenses. Determine the power of the corrective contact lenses requ…

01:05

$\bullet$ How much blood in a heartbeat? A typical human contains 5.0 $\math…

04:00

$\bullet$ A solid uniform 3.25 kg cylinder, 65.0 $\mathrm{cm}$ in diameter a…