Answer:
0.001225 kg/L × 720 000 000 L = 882000 kg
Explanation:
Given:
The equation to solve is given as:
0.001225 kg/L × 720 000 000 L = ?
Let us write each term of the product in terms of power of 10.
As 0.001225 has 6 digits after the decimal place, therefore, we use the exponent 6 for 10 and the sign is negative. This gives,
Now, for 720000000 L there are 6 zeros after 720. So, we use exponent 6 but with a positive sign. This gives,
Now, finding the product, we get:
Therefore, the product is equal to:
0.001225 kg/L × 720 000 000 L = 882000 kg
Answer:
The magnitude of the force is 1.29*10^-3N in the positive x direction
Explanation:
In order to calculate the magnitude and direction of the force, you take into account that the force is the space derivative of the potential enrgy, as follow:
(1)
where:
You replace the expression for U into the equation (1) and solve for F:
![F(x)=-\frac{d}{dx}[Ax^4]=-4Ax^3](https://tex.z-dn.net/?f=F%28x%29%3D-%5Cfrac%7Bd%7D%7Bdx%7D%5BAx%5E4%5D%3D-4Ax%5E3)
(2)
The force on the particle, for x = -0.080m is:
The magnitude of the force is 1.29*10^-3N in the positive x direction
Answer:
The function is x = e^(-t/2) * (0.792*sin12t + 5cos12t)
Explanation:
we have to:
m = mass = 4 kg
k = spring constant = 577 N/m
c = damping constant = 4 N*s/m
The differential equation of motion is equal to:
m(d^2x/dt^2) + c(dx/dt) + k*x = 0
Replacing values:
4(d^2x/dt^2) + 4(dx/dt) + 577*x = 0
Thus, we have:
4*x^2 + 4*x + 577 = 0
we will use the quadratic equation to solve the expression:
x = (-4 ± (4^2 - (4*4*577))^1/2)/(2*4) = (-4 ± (-9216))/8 = (1/2) ± 12i
The solution is equal to:
x = e^(1/2) * (c1*sin12t + c2*cos12t)
x´ = (-1/2)*e^(1/2) * (c1*sin12t + c2*cos12t) + e^(-t/2) * (12*c1*cos12t - 12*c2*sin12t)
We have the follow:
x(0) = 5
e^0(0*c1 + c2) = 5
c2 = 5
x´(0) = 7
(-1/2)*e^0 * (0*c1 + c2) + e^0 * (12*c1 - 0*c2) = 7
(-1/2)*(5) + 12*c1 = 7
Clearing c1:
c1 = 0.792
The function is equal to:
x = e^(-t/2) * (0.792*sin12t + 5cos12t)
A green plant has Chemical energy.
This chemical energy is stored as Chlorophyll which in turn reacts with sunlight and water, to form sugar through the process of Photosynthesis.
Answer:
Most living things need oxygen helps organisms grow,reproduce,and turn food into energy.Oxygen gives our cells the ability to break down food in order to get the energy we need to survive.
