Answer:
Explanation:
The options is not well presented
This are the options
A. θ = at³ + b
B. θ = at² + bt + c
C. θ = at² — b
D. θ = Sin(at)
So, we want to prove which of the following option have a constant angular acceleration I.e. does not depend on time
Now,
Angular acceleration can be determine using.
α = d²θ / dt²
α = θ''(t)
So, second deferential of each θ(t) will give the angular acceleration
A. θ = at³ + b
dθ/dt = 3at² + 0 = 3at²
d²θ/dt² = 6at
α = d²θ/dt² = 6at
The angular acceleration here still depend on time
B. θ = at² + bt + c
dθ/dt = 2at + b + 0 = 2at + b
d²θ/dt² = 2a + 0 = 2a
α = d²θ/dt² = 2a
Then, the angular acceleration here is constant is "a" is a constant and the angular acceleration is independent on time.
C. θ = at² —b
dθ/dt = 2at — 0 = 2at
d²θ/dt² = 2a
α = d²θ/dt² = 2a
Same as above in B. The angular acceleration here is constant is "a" is a constant and the angular acceleration is independent on time.
D. θ = Sin(at)
dθ/dt = aCos(at)
d²θ/dt² = —a²Sin(at) = —a²θ
α = d²θ/dt² = -a²θ
Since θ is not a constant, then, the angular acceleration is dependent on time and angular displacement
So,
The answer is B and C
The mass of the car is 2000 kg
Explanation:
We can solve this problem by using Newton's second law of motion, which states that the net force acting on an object is equal to the product between the mass of the object and its acceleration:

where
is the net force
m is the mass
a is the acceleration
In this problem, we have:
is the acceleration of the car
Each person applies a force of 400 N, and there are five men, so the total force applied is

Therefore, the mass of the car is:

Learn more about Newton's second law of motion:
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Answer: Cytosine is methylated resulting in 5-methylcytosine. Then the gene expression will decrease.
Explanation: To find the answer, we need to know more about the methylation of cytosine.
<h3>
What is methylation of cytosine?</h3>
- Methylation means the addition of a methyl group on a substrate of an atom.
- It's a form of alkylation, here a methyl group replaces a hydrogen atom.
- Methylation of cytosine occurs at CpG palindrome in DNA.
- When cytosine is methylated to produce 5- methyl cytosine, which results in a decrease in gene expression.
Thus, we can conclude that, Cytosine is methylated resulting in 5-methylcytosine. Then the gene expression will decrease.
Learn more about the methylation of cytosine here:
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There are known as B. meteorites: asteroids are much larger.