Using the principle of floatation.
u = w............(a)
Upthrust of fluid is equal to the weight of the object.
Let the volume of the wood be V.
The upthrust u, is related to the volume submerged in water, and that is 1/5 of it volume, that is (1/5)V = 0.2V
Formula for upthrust, u = vdg
where v = volume of fluid displaced
d = density of fluid
g = acceleration due to gravity
weight, w = mg
where m = mass
g = acceleration due to gravity
From (a)
u = w
vdg = mg Cancel out g
vd = m
The v is equal to 0.2V, which is the submerged volume. Notice that the small letter v is volume of fluid displaced, and capital V is the volume of the solid.
d is density of fluid which is water in this case, 1000 kg/m³
0.2V * 1000 = m
200V = m
Hence the mass of the object is 200V kg.
But Density of solid = Mass of solid / Volume of solid
= 200V / V
= 200 kg/m³
Density of solid = 200 kg/m³
If I am to understand this question correctly this is what asks you:
If a person is riding a motorized tricycle how much work do they do?
You may ask yourself, why did I only use part of the question. Simple, the rest is not relevant to what is being asked. The weight, speed, and distance wont affect the person riding any <em><u>motorized vehicle</u></em> other than the time it takes to get from one place to another.
So to answer this question I would say:
Not much, all they really have to do is to steer and set the motorized tricycle to cruise control. Just like any rode certified vehicle.
If you have any questions about my answer please let me know and I will be happy to clarify any misunderstandings. Thanks and have a great day!
The distance D where the object comes to rest is 1.08.m.
<h3>What is the distance?</h3>
- The separation of one thing from another in space; the distance or separation in space between two objects, points, lines, etc.; remoteness. The distance of seven miles cannot be accomplished in one hour of walking.
- Learn how to use the Pythagorean theorem to get the separation between two points using the distance formula. The Pythagorean theorem can be rewritten as d==(((x 2-x 1)2+(y 2-y 1)2)
- The distance between any two places is the length of the line segment separating them. By measuring the length of the line segment that connects the two points in coordinate geometry, the distance between them may be calculated.
(c) the distance D where the object comes to rest.
ΔKE ⇒ -0.25*1*9.8*D = 0-1/2*1*![2.3^{2}](https://tex.z-dn.net/?f=2.3%5E%7B2%7D)
⇒![D=\frac{0.5*2.3^{2} }{2.45}](https://tex.z-dn.net/?f=D%3D%5Cfrac%7B0.5%2A2.3%5E%7B2%7D%20%7D%7B2.45%7D)
⇒1.08.m
To learn more about distance, refer to:
brainly.com/question/4998732
#SPJ4
Force is defined as the rate of change of momentum.
The initial amount of momentum is
![mv](https://tex.z-dn.net/?f=mv)
because water stops when it hit the wall total change of momentum must be
![\Delta p=mv](https://tex.z-dn.net/?f=%20%5CDelta%20p%3Dmv%20)
.
Now let's calculate the force.
![F= \frac{dp}{dt}=\frac{d(mv)}{dt}=\frac{dm}{dt}v](https://tex.z-dn.net/?f=F%3D%20%5Cfrac%7Bdp%7D%7Bdt%7D%3D%5Cfrac%7Bd%28mv%29%7D%7Bdt%7D%3D%5Cfrac%7Bdm%7D%7Bdt%7Dv)
We need to find
![\frac{dm}{dt}](https://tex.z-dn.net/?f=%5Cfrac%7Bdm%7D%7Bdt%7D)
. This is the amount of water hiting the wall per second.
![\frac{dm}{dt}=\rho Av](https://tex.z-dn.net/?f=%5Cfrac%7Bdm%7D%7Bdt%7D%3D%5Crho%20Av)
Our final formula would be:
![F=\rho Avv=\rho Av^2](https://tex.z-dn.net/?f=F%3D%5Crho%20Avv%3D%5Crho%20Av%5E2)
And now we can calculate the answer: