Answer:
v = 1.36 cm / y
Explanation:
For this exercise we must assume that the displacement of the plates is constant over time, so we will use the kinematic relationships for the uniform movement
v = d / t
We reduce the quantities to the SI system
d = 320 km (1000 m / 1km) (100 cm / 1 m)
d = 3.2 107 cm
let's calculate
v = 32.107 / 23.5 106
v = 1.36 cm / y
Answer:
m/min
Explanation:
You have to use the volume of a cone, which is:
where r is the radius of the base and h is the height.
In this case, r=5 and h=10. The radius can be written as r=h/2
Replacing it in the equation:
(I)
The rate of the volume is the derivate of volume respect time, therefore you have to perform the implicit differentiation of the previous equation and equal the result to 3.14 m³/min
Replacing dV/dt= 3.14, h=7.5 and solving for dh/dt, which represents how fast the level is rising:
Multiplying by 16/225π both sides:
m/min
Answer:
Explanation:
To answer the question, we just need to consider the motion along the horizontal direction.
The component of the initial velocity of the ice skater along the x-direction is:
where u = 2.25 m/s is the initial velocity and is the angle.
The component of the final velocity of the ice skater along the x-direction is
where u = 4.65 m/s is the final velocity and is the angle.
The acceleration along the x-direction is given by
where
t = 120 s is the time
Substituting,
First of all, not to get confused with terminology, unit vectors are called unit vectors because they have a unit length. This has absolutely nothing to do with physical units.
Now, if you are talking about physical units like m, m/s or N. Then it depends on what physical vector quantity you’re talking about. If it’s the displacement vector then the i,j,k will have units of length i.e. meters (m). If it’s the force vector then the i,j,k will have units of force i.e. newtons (N).
But if you are talking about vectors in math, then they are unitless. So, we just pretend the physical unit is 1.
Again stressing that this has nothing to do with their name “unit vectors”. They are called that because the unit, AKA the number “1”, is the value of their magnitude/length.
They have magnitude 1, bearing the unit of physical quantity they represent.
Organisms must maintain a pH level of seven. Seven is known as neutral in the pH scale. It has the same amount of balanced bases and acids. Hope this helps:)