In this item, we let x be the rate of the boat in still water and y be the rate of the current.
Upstream. When the boat is going upstream, the speed in still water is deducted by the speed of the current because the boat goes against the water. The distance covered is calculated by multiplying the number of hours and the speed.
(x - y)(3) = 144
Downstream. The speed of the boat going downstream is equal to x + y because the boat goes with the current.
(x + y)(2) = 144
The system of linear equations we can use to solve for x is,
3x - 3y = 144
2x + 2y = 144
We use either elimination or substitution.
We solve for the y of the first equation in terms of x,
y = -(144 - 3x)/3
Substitute this to the second equation,
2x + 2(-1)(144 - 3x)/3 = 144
The value of x from the equation is 60
<em>ANSWER: 60 km/h</em>
Answer:
a)
b)
c)
d)m
e)λ=∞
Explanation:
De Broglie discovered that an electron or other mass particles can have a wavelength associated, and that wavelength (λ) is:
with h the Plank's constant () and P the momentum of the object that is mass (m) times velocity (v).
a)
b)
c)
d)
m
e)
λ=∞
During the falling down, two forces are present: gravitational force and air resistance.
So, the net force = mg - f = 12*9.8 - 27 = 90.6 N, the positive sign indicates the direction is pointing towards the center of the earth, which is the same as gravitational force
I think is a high-pressure system because it is only in one particular area.
Answer:
The mass of the solid cylinder is
Explanation:
From the question we are told that
The radius of the grinding wheel is
The tangential force is
The angular acceleration is
The torque experienced by the wheel is mathematically represented as
Where I is the moment of inertia
The torque experienced by the wheel can also be mathematically represented as
substituting values
So
So
This moment of inertia can be mathematically evaluated as
substituting values
=>