Answer:
= -12 N
, = -80 N and = - 44 N
Explanation:
The force is related to the potential energy by the formula
F = -Δ U = - ( i ^ + j ^ + k ^)
It indicates the potential energy
U = 2xyz + 3z² + 4yx + 16
To solve this problem let's make the derivatives, to find each component of the force
= 2yz + 0 + 4y + 0 = 2yz + 4y
= 2xz + 0 + 4x + 0 = 2xz + 4x
= 2xy + 3 2z + 0 +0 = 2xy + 6z
We look for the expression for the force in each axis
= - 2yz - 4y
= -2xz -4x
= -2xy -6z
We calculate at the point P = (20 i ^ + 1j ^ + 4 k ^) m
= - 2 1 4 - 4 1
= -12 N
= - 2 20 4 - 4 20
= -80 N
= - 20 1 - 6 4
= - 44 N
We put together the expression for strength
F = (-12 i ^ - 80j ^ -44k ^) N
Answer:
The velocity at exit of the nozzle is 175.8 m/s
Solution:
As per the question:
Air density inside the rocket,
Speed, v = 1.20 m/s
The inner diameter of the rocket,
The inner radius of the rocket,
The exit diameter of the nozzle,
The exit radius of the nozzle,
Air density inside the nozzle,
Now,
To calculate the air speed when it leaves the nozzle:
Mass rate in the interior of the rocket,
Mass rate in the outlet of the nozzle,
Now,
Now,
We know that:
v' = 175.8 m/s
Answer:
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2. <em>Genetic diversity
</em> is the genetic material of microorganisms, plants and animals contains information that determines the characteristics of all species and individuals that make up the diversity of the living world while the <em>ecosystem diversity</em> is the enormous range of terrestrial and aquatic environments on earth has been classified into a number of ecosystems.
Answer:
L = 4.58 x 10⁴ kg.m²/s
Explanation:
The angular momentum is given by the formula:
L = mvr
but, v = rω
Therefore,
L = mr²ω
where,
L = Angular Momentum of the person = ?
m = mass of person = 99 kg
r = radius of earth = 6.37 x 10⁶ m
ω = Angular Speed of Earth's Rotation = θ/t
Since, earth completes 1 rotation in 1 day. Hence,
ω = (2π rad/1 day)(1 day/24 h)(1 h/3600 s)
ω = 7.27 x 10⁻⁵ rad/s
Therefore,
L = (99 kg)(6.37 x 10⁶ m)²(7.27 x 10⁻⁵ rad/s)
<u>L = 4.58 x 10⁴ kg.m²/s</u>
Hi Maria.
The formula for finding the mass of the object is M = F/A, or the force divided by the acceleration. Since we have our force and acceleration, we are ready to solve!
M = 350 / 10.
M = 35.
The unit of measurement for mass is kg, so your answer is going to be
35 kg.
I hope this helps!