Answer:
The value is 
Explanation:
From the question we are told that
The mass of the block is 
The force constant of the spring is 
The amplitude is 
The time consider is 
Generally the angular velocity of this block is mathematically represented as
=> 
=> 
Given that the block undergoes simple harmonic motion the velocity is mathematically represented as
=> 
=>
Since Monique is able to hear the heartbeats of her baby, it's the Fetus stage of pregnancy when the body starts developing inside the womb.
<u>Explanation:</u>
The Fetus Stage of Pregnancy:
Once the 4th-7th weeks of pregnancy passed, the embryo start developing inside the womb of the mother and the respective symptoms reflects. This is the Fetus stage of pregnancy which occur in approximately around the 10th week of pregnancy.
In the fetus stage, the human body begins to develop inside the womb. In this phase, most of the organs are developed and the limbs starts to form firmly. The Fetus stage comes after the Embryo stage but usually, the transition varies according to the growth and circumstances of the atmosphere.
But, what is certain is that the mother can feel the impulse and heartbeats of the baby inside her womb which is an exciting and memorable feeling for her.
Answer: 219,344.5 j
Explanation:
from the question we have the following parameters
mass of barge (m) = 5 x 10^4 kg
angle of ropes (θ) = 45 degrees
force by each mule (F1) = 1.10 kN = 1100 N
force by each mule (F2) = 1.10 kN = 1100 N
distance (s) = 141 m
work done by the mules = force x cos θ x distance
since we are calculating the force of both mules we have to both mules before we can use in the equation
force = 1100 + 1100 = 2200 N
work done = 2200 x cos (45) x 141
work done = 219,344.5 j
Answer:
First option
Explanation:
<u>Operations with functions
</u>
Given two functions f, g, we can perform a number of operations with them including addition, subtraction, product, division, composition, and many others
.
We have
We are required to find
We simply divide f by g as follows
We know rational functions may have problems if the denominator can be zero for some values of x. We must find out if there are such values and exclude them from the domain of the new-found function. We must ensure
or equivalently
Thus the first option is correct
Note: Since 
is always a positive number (for x real), our function does not really have any restriction in its domain
Answer:
288N
Explanation:
Given parameters:
Mass of Cheetah = 12kg
Acceleration = 24m/s²
Unknown:
Force needed by the cheetah to run = ?
Solution:
The force needed by the Cheetah to run is the net force.
According to Newton's law;
Force = mass x acceleration
Insert the given parameters and solve;
Force = 12 x 24 = 288N
