To solve this problem it is necessary to apply the concepts related to Newton's second law and its derived expressions for angular and linear movements.
Our values are given by,

If we carry out summation of Torques on the pulley we will have to,

Where,
I = Inertia moment
Angular acceleration, which is equal in linear terms to a/r (acceleration and radius)
The moment of inertia for this object is given as

Replacing this equations we have know that



Or

Replacing our values we have that


Therefore the tension in the string between the pulley and the cart is 0.974 N
distance(d) = speed(s) × time (t)
= 22.3 × 8.5
= 189.55m
Yes, yes, go on ! The nearest star to us that's outside of our solar system
is 4.2 light years away. So when we see that star, we're not seeing it as
it is, we're seeing it as it was 4.2 years ago. And all of the other stars
are much farther away from us than that one is. We have detected
galaxies that we're not seeing as they are now, we're seeing them as
they were 13 billion years ago !
The moon is about 240,000 miles away from us. When we look at the
moon, we're not seeing it as it is, we're seeing it as it was 1.3 seconds ago.
The refrigerator in your kitchen is about 12 feet from you. So when you
look at the refrigerator, you're not seeing it as it is. You're seeing it as it
was 0.0000000122 second ago.
It takes TIME for light to travel from one place to another.
Impact crater would be the answer but tell me if I'm roght
The definition of average acceleration allows to find the result for the average acceleration in the given time interval is:
Instantaneous acceleration is defined as the derivative of velocity with respect to time.
a =
Where a is the acceleration, v the velocity and t the time.
They indicate that the speed of the car is given by the relation.
v = α t + β t²
With α = 3 m / s and β = 0.1 m / s³
Let's make the derivative.
a = α + 2β t
Let's substitute
a = 3 + 2 0.1 t
Average acceleration is the change in velocity in the time interval.
Let's find the velocity at the indicated time.
For t = 5 s
v₅ = 3 + 0.1 5²
v₅ = 5.5 m / s
For t = 10 s
v₁₀ = 3 + 0.1 10²
v₁₀ = 13 m / s
Let's calculate the average acceleration.
In conclusion using the definition of mean acceleration we can find the result for the mean acceleration in the given time interval is:
1.5 m / s²
Learn more here: brainly.com/question/20057878