Answer:
See the answers below
Explanation:
To solve this problem we must use the definition of power and work in physics.
a)
The function of the conveyor belt is to carry the boxes from an initial point that is at low altitude to an end point that is at high altitude. In this way the conveyor belt prints a speed to the box to be able to raise it to the required vertical distance.
Since we have a velocity at the beginning and then we place the box at a high position, where then the box remains at rest, we can say that it converts kinetic energy to potential energy.
b)
Power is defined as the relationship of work over time. Therefore we have:
where:
P = power = 3.8 [kW] = 3800 [W]
W = work [J]
t = time = 14 [s]
![W=P*t\\W=3800*14\\W= 53200[J] = 53.2[kJ]](https://tex.z-dn.net/?f=W%3DP%2At%5C%5CW%3D3800%2A14%5C%5CW%3D%2053200%5BJ%5D%20%3D%2053.2%5BkJ%5D)
c)
Since the given time is equal to the given time at Point b, we can use the same work calculated.
We know that work is defined as the product of force by the distance traveled.
So, the force is equal to:
![F=W/d\\F=53200/5.3\\F=10037.73[N]](https://tex.z-dn.net/?f=F%3DW%2Fd%5C%5CF%3D53200%2F5.3%5C%5CF%3D10037.73%5BN%5D)
Now we know that force is defined as the product of mass by gravitation acceleration.
where:
F = force or weight = 10037.73 [N]
g = gravity acceleration = 9.81 [m/s²]
m = mass [kg]
![m=F/g\\m = 10037.73/9.81\\m = 1023.2 [kg]](https://tex.z-dn.net/?f=m%3DF%2Fg%5C%5Cm%20%3D%2010037.73%2F9.81%5C%5Cm%20%3D%201023.2%20%5Bkg%5D)
d)
This part can be solved by means of the energy conservation theorem, where the potential energy is transformed into kinetic energy or vice versa.
where:
h = elevation = 4.7 [m]
v = velocity [m/s]
![m*g*h=0.5*m*v^{2}\\g*h=0.5*v^{2} \\v=\sqrt{\frac{g*h}{0.5} } \\v=\sqrt{\frac{9.81*4.7}{0.5} } \\v = 9.6 [m/s]](https://tex.z-dn.net/?f=m%2Ag%2Ah%3D0.5%2Am%2Av%5E%7B2%7D%5C%5Cg%2Ah%3D0.5%2Av%5E%7B2%7D%20%5C%5Cv%3D%5Csqrt%7B%5Cfrac%7Bg%2Ah%7D%7B0.5%7D%20%7D%20%5C%5Cv%3D%5Csqrt%7B%5Cfrac%7B9.81%2A4.7%7D%7B0.5%7D%20%7D%20%20%20%5C%5Cv%20%3D%209.6%20%5Bm%2Fs%5D)
The answer to the first one is sublimation.
(a) The ball's height <em>y</em> at time <em>t</em> is given by
<em>y</em> = (20 m/s) sin(40º) <em>t</em> - 1/2 <em>g t</em> ²
where <em>g</em> = 9.80 m/s² is the magnitude of the acceleration due to gravity. Solve <em>y</em> = 0 for <em>t</em> :
0 = (20 m/s) sin(40º) <em>t</em> - 1/2 <em>g t</em> ²
0 = <em>t</em> ((20 m/s) sin(40º) - 1/2 <em>g t</em> )
<em>t</em> = 0 or (20 m/s) sin(40º) - 1/2 <em>g t</em> = 0
The first time refers to where the ball is initially launched, so we omit that solution.
(20 m/s) sin(40º) = 1/2 <em>g t</em>
<em>t</em> = (40 m/s) sin(40º) / <em>g</em>
<em>t</em> ≈ 2.6 s
(b) At its maximum height, the ball has zero vertical velocity. In the vertical direction, the ball is in free fall and only subject to the downward acceleration <em>g</em>. So
0² - ((20 m/s) sin(40º))² = 2 (-<em>g</em>) <em>y</em>
where <em>y</em> in this equation refers to the maximum height of the ball. Solve for <em>y</em> :
<em>y</em> = ((20 m/s) sin(40º))² / (2<em>g</em>)
<em>y</em> ≈ 8.4 m
Answer:
Energy = 780 Joules
Explanation:
Given the following data;
Power = 78 Watts
Time = 10 seconds
To find the energy transferred;
Energy refers to the amount or quantity of power which is being consumed by an individual, group of people or organization over a specific period of time.
Mathematically, energy is given by the formula;
Energy = power * time
Energy = 78 * 10
Energy = 780 Joules
Therefore, the amount of energy the turbine transferred is 780 Joules
Answer:
Explained
Explanation:
Compared to Jupiter, Saturn's atmosphere is more calm with fewer disturbances or storms.
The Atmosphere in Jupiter is highly violent and thinner as compared with Saturn.
The layers of atmosphere on Saturn is thicker because of lower gravity of Saturn and hence they are calmer.
