Answer:
<h2>C. <u>
0.55 m/s towards the right</u></h2>
Explanation:
Using the conservation of law of momentum which states that the sum of momentum of bodies before collision is equal to the sum of the bodies after collision.
Momentum = Mass (M) * Velocity(V)
BEFORE COLLISION
Momentum of 0.25kg body moving at 1.0m/s = 0.25*1 = 0.25kgm/s
Momentum of 0.15kg body moving at 0.0m/s(body at rest) = 0kgm/s
AFTER COLLISION
Momentum of 0.25kg body moving at x m/s = 0.25* x= 0.25x kgm/s
<u>x is the final velocity of the 0.25kg ball</u>
Momentum of 0.15kg body moving at 0.75m/s(body at rest) =
0.15 * 0.75kgm/s = 0.1125 kgm/s
Using the law of conservation of momentum;
0.25+0 = 0.25x + 0.1125
0.25x = 0.25-0.1125
0.25x = 0.1375
x = 0.1375/0.25
x = 0.55m/s
Since the 0.15 kg ball moves off to the right after collision, the 0.25 kg ball will move at <u>0.55 m/s towards the right</u>
<u></u>
<span>which of those can we not get back once it has been used, the answer is oil or petroleum</span>
1) Fundamental units of
are ![[\frac{mol}{m\cdot s^2}]](https://tex.z-dn.net/?f=%5B%5Cfrac%7Bmol%7D%7Bm%5Ccdot%20s%5E2%7D%5D)
2) Fundamental units of
are ![[\frac{mol}{m^3}]](https://tex.z-dn.net/?f=%5B%5Cfrac%7Bmol%7D%7Bm%5E3%7D%5D)
Explanation:
The equation for the variable
is

where we have:
measured in ![[\frac{mol}{ft^3}]](https://tex.z-dn.net/?f=%5B%5Cfrac%7Bmol%7D%7Bft%5E3%7D%5D)
measured in ![[\frac{J}{kg}]](https://tex.z-dn.net/?f=%5B%5Cfrac%7BJ%7D%7Bkg%7D%5D)
measured in ![[in]](https://tex.z-dn.net/?f=%5Bin%5D)
measured in ![[\frac{m}{s^2}]](https://tex.z-dn.net/?f=%5B%5Cfrac%7Bm%7D%7Bs%5E2%7D%5D)
We can re-write the equation as

And we notice that the units of the term on the left must be equal to the units of the term on the right.
This means that:
1) First of all,
must have the same units of
. So,
![[\rho r g]=[\frac{mol}{ft^3}][in][\frac{m}{s^2}]](https://tex.z-dn.net/?f=%5B%5Crho%20r%20g%5D%3D%5B%5Cfrac%7Bmol%7D%7Bft%5E3%7D%5D%5Bin%5D%5B%5Cfrac%7Bm%7D%7Bs%5E2%7D%5D)
However, both ft (feet) and in (inches) are not fundamental dimensions: this means that they can be expressed as meters. Therefore, the fundamental units of
are
![[\Psi]=[\frac{mol}{m^3}][m][\frac{m}{s^2}]=[\frac{mol}{m\cdot s^2}]](https://tex.z-dn.net/?f=%5B%5CPsi%5D%3D%5B%5Cfrac%7Bmol%7D%7Bm%5E3%7D%5D%5Bm%5D%5B%5Cfrac%7Bm%7D%7Bs%5E2%7D%5D%3D%5B%5Cfrac%7Bmol%7D%7Bm%5Ccdot%20s%5E2%7D%5D)
2)
The term
must have the same units of
in order to be added to it. Therefore,
![[\gamma \Phi] = [\frac{mol}{m\cdot s^2}]](https://tex.z-dn.net/?f=%5B%5Cgamma%20%5CPhi%5D%20%3D%20%5B%5Cfrac%7Bmol%7D%7Bm%5Ccdot%20s%5E2%7D%5D)
We also know that the units of
are
, therefore
![[\frac{J}{kg}][\Phi]= [\frac{mol}{m\cdot s^2}]](https://tex.z-dn.net/?f=%5B%5Cfrac%7BJ%7D%7Bkg%7D%5D%5B%5CPhi%5D%3D%20%5B%5Cfrac%7Bmol%7D%7Bm%5Ccdot%20s%5E2%7D%5D)
And so, the fundamental units of
are
![[\Phi]= [\frac{mol\cdot kg}{J\cdot m\cdot s^2}]](https://tex.z-dn.net/?f=%5B%5CPhi%5D%3D%20%5B%5Cfrac%7Bmol%5Ccdot%20kg%7D%7BJ%5Ccdot%20m%5Ccdot%20s%5E2%7D%5D)
However, the Joules can be written as
![[J]=[kg][\frac{m^2}{s^2}]](https://tex.z-dn.net/?f=%5BJ%5D%3D%5Bkg%5D%5B%5Cfrac%7Bm%5E2%7D%7Bs%5E2%7D%5D)
Therefore
![[\Phi]= [\frac{mol\cdot kg}{(kg \frac{m^2}{s^2})\cdot m\cdot s^2}]=[\Phi]= [\frac{mol}{m^3}]](https://tex.z-dn.net/?f=%5B%5CPhi%5D%3D%20%5B%5Cfrac%7Bmol%5Ccdot%20kg%7D%7B%28kg%20%5Cfrac%7Bm%5E2%7D%7Bs%5E2%7D%29%5Ccdot%20m%5Ccdot%20s%5E2%7D%5D%3D%5B%5CPhi%5D%3D%20%5B%5Cfrac%7Bmol%7D%7Bm%5E3%7D%5D)
#LearnwithBrainly
Answer:
The average power developed by a motor is 4905 Watts.
Explanation:
The average power is given by:

Where:
W: is the work
t: is the time = 8.0 s
First, let's find the work:

Where:
F: is the force
d: is the displacement = 10.0 m
The force is in the vertical motion, and since the movement of the mass is at constant speed the force is:

Hence, the average power is:
Therefore, the average power developed by a motor is 4905 Watts.
I hope it helps you!
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