A soccer ball (k = 2/3) with a radius of 0.101 meters and a mass of 0.400 kilograms rolls on a field with an angular speed of 93 radians per second. a. What is the translational kinetic energy of the ball? Include units in your answer.b. What is the rotational kinetic energy of the ball? Include units in your answer.c. The ball then rolls up a hill. What height will the ball reach before coming to rest? Include units in your answer. All answers must be in 3 significant digits.

Answers

Answer 1

Given,

The radius of the ball, r=0.101 m

The mass of the ball, m=0.400 kg

The angular speed of the ball, ω=93 rad/s

a.

The linear velocity of the ball is given by,

[tex]v=\omega r_{}[/tex]

The translational kinetic energy is given by,

[tex]\begin{gathered} K_t=\frac{1}{2}mv^2 \\ =\frac{1}{2}m\omega^2r^2 \end{gathered}[/tex]

On substituting the known values,

[tex]\begin{gathered} K_t=\frac{1}{2}\times0.400\times93^2\times0.101^2 \\ =17.6\text{ J} \end{gathered}[/tex]

hus the translational kinetic energy of the ball is 17.6 J

b.

The moment of inertia of the ball is given by,

[tex]I=\frac{2}{3}mr^2[/tex]

The rotational kinetic energy of the ball is given by.

[tex]\begin{gathered} K_r=\frac{1}{2}I\omega^2 \\ =\frac{1}{2}\times(\frac{2}{3}\times mr^2)\times\omega^2 \\ =\frac{1}{3}mr^2\omega^2 \end{gathered}[/tex]

On substituting the known values,

[tex]\begin{gathered} K_r=\frac{1}{3}\times0.400\times0.101^2\times93^2 \\ =11.8\text{ J} \end{gathered}[/tex]

hus the trotational kinetic energy of the ball is 11.8 J

.

From the law of conservation of energy, the energy can neither be created nor be destroyed but can be converted from one form to another.

When ball rolls up the hill the ball will lose its translational and rotational kinetic energy. But the lost kinetic energy will be converted into its gravitational potential energy.

Therefore, the gravitational potential energy of the ball when it is up the hill is equal to the sum of its translational and rotational kinetic energy.

Thus,

[tex]\begin{gathered} K_t+K_r=P \\ =\text{mgh} \end{gathered}[/tex]

Where g is the acceleration due to gravity and h is the height that the ball will reach before coming to rest.

On rearranging the above equation,

[tex]h=\frac{K_t+K_r}{mg}[/tex]

On substituting the known values,

[tex]\begin{gathered} h=\frac{17.6+11.8}{0.400\times9.8} \\ =7.5\text{ m} \end{gathered}[/tex]

herefore the ball will treach a height of 7.5 m before coming to rest.


Related Questions

A car starts from rest and travels for 4.9 s with a uniform acceleration of +1.4 m/s2. The driver then applies the brakes, causing a uniform acceleration of -1.9 m/s2. The brakes are applied for 1.60 s.
(a) How fast is the car going at the end of the braking period?
(b) How far has the car gone from its start?

Answers

The car is going at speed of 3.82 m/s at the end of the breaking period and the car traveled the distance from the start is 25.33 m.

What is Acceleration?

The rate of change in an object's velocity concerning time is known as acceleration in mechanics. The vector quantity of accelerations. The direction of the net force that is acting on an object determines its acceleration.

Since acceleration has both a magnitude and a direction, it is a vector quantity. Velocity is a vector quantity as well. The definition of acceleration is the change in velocity vector over a time interval divided by the time interval.

According to the question, the given values are :

Time, t₁ = 4.9 s

Time, t₂ = 1.60 s

Acceleration, a₁ = 1.4 m/s²

Acceleration, a₂ = -1.9 m/s²

Initial Velocity, u = 0 m/s

(a)

By the Equation of motion,

v = u + a₁t₁

v = 0 + (1.4)(4.9)

v = 6.86 m/s.

Now, the velocity of the car at the end of the breaking period :

v' = v + a₂t₂

v' = 6.86 + (-1.9)(1.60)

v' = 3.82 m/s.

(b)

s₁ = ut₁ + 1/2 a₁t₁²

s₁ = 0 + 1/2 (1.4)(4.9)²

s₁ = 16.8 m.

Now for the decelerated motion :

s₂ = vt₂+1/2 a₂t₂²

s₂= 6.86(1.60) + 1/2 (-1.9)(1.60)²

s₂ = 8.53 m.

So, total distance covered from the start, D :

D = s₁ + s₂

D = 16.8 + 8.53

D = 25.33 m.

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SORRY IF IN WRONG SECTION. ANSWER FOR 50 POINTS. 1. The chemical process by which your body breaks down the nutrients in foods to release energy (1 point) for the cells in your body describes OCalories Ocholesterol Ometabolism Onutrition​

Answers

Metabolism is the chemical process by which your body breaks down the nutrients in foods to release energy for the cells in your body (Option 3).

What is Metabolism?

The term Metabolism makes reference to all chemical reactions by which the body can obtain energy from foods by breaking them down into smaller elements. The breakdown of chemical bonds releases energy, which is used to generate Adenosine triphosphate, the energy coin of the cells.

Metabolism has two major categories:Catabolism or metabolic pathways where foods are reduced to smaller molecules that are used for oxidation and thus the production of energy.Anabolism or metabolic pathways aimed at generating complex molecules from simpler ones.

Therefore, we can conclude that metabolism refers to the groups of pathways by which an organism breaks down nutrients such as proteins or carbohydrates in order to obtain energy for cells and perform diverse activities (e.g. growth, differentiation, etc)

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while test flying the new f-22 raptor fighter jet, test pilot bob put the plane in a horizontal loop while flying at the speed of sound (343 m/s). what is the minimum radius that the plane can fly if bobs centripetal acceleration cannot exceed 5g (5 times the acceleration due to gravity)?

Answers

Given

v = 343 m/s

ac = 5g

ac = 5*9.8 m/s^2

ac = 49 m/s^2

where,

v: velocity

ac = centripetal aceleration

Procedure

We call the acceleration of an object moving in uniform circular motion—resulting from a net external force—the centripetal acceleration ac; centripetal means “toward the center” or “center seeking”.

Formula

[tex]\begin{gathered} a_c=\frac{v^2}{r} \\ r=\frac{v^2}{a_c} \\ r=\frac{(343m/s)^2}{49m/s^2} \\ r=2401\text{ m} \end{gathered}[/tex]

The minimum radius not to exceed the centripetal acceleration is 2401 m.

ANSWER IN PHOTO, NO LINK!
3. Draw additional masses to show how the block can be made to move toward point A. Be sure to draw the
string and label the mass of the block. For full credit, draw the minimum number of blocks required to make
the block move toward point A.
Answer:

Answers

Any mass greater than 150g attached to 100g will make the block move towards point A. Thus, there can be any number of blocks attached to it, but the total mass of the attached blocks must add up to 150g.

What is the unit of force in SI?

The newton, abbreviated N, is the SI unit of force. These are base units that are pertinent to force.

The symbol for the length unit of a meter is m. the kilogram (kg), a unit of mass. s stands for the second, a unit of time.

How do you determine a seesaw's balance?

Seesaws are regulated by a straightforward equation that states that for balance to occur, the force applied to one end of the seesaw multiplied by the distance from the pivot should equal the force applied to the other side of the seesaw multiplied by the distance from the pivot.

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Cody's car accelerates from 0m/s to 45 m/s northward in 15 seconds. What is
the acceleration of the car?

Answers

According to the given statement the acceleration of the car is 3ms².

What does "acceleration" mean ?

Depending on whether an object is moving much faster, slower, or in a different direction, its speed may change. Examples of acceleration include a falling apple, the moon orbiting the earth and a car which has stopped at a stop sign.

Which four forms of acceleration are there?

Uniform acceleration, non-uniform acceleration, and average acceleration are the three different forms of accelerated motions.

Briefing:

Let acceleration be 'a'

v = u + at

a = v - u/t

a = 45 - 0 /15

a = 45/15

a = 3 ms²

So, acceleration will be 3 m/s² .

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What is TRUE about the rifling of a gun?
O
It produces grooves and lands.
It is another name for the inside of a gun barrel.
O
It only appears in .38 caliber firearms.
O
It can only be seen with a microscope.

Answers

Answer:

It produces grooves and lands.

6. An astronaut and equipment weigh 2,156 N on Earth. Weightless in space, the astronaut throws away
a 5.0 kg wrench with a velocity of 5.0 m/s. What is the resulting velocity of the astronaut in the opposite
direction?

Answers

Answer:

One of the first things we need to know is the mass of the astronaut and equipment combined. Weight is given by the formula:

W = m x g, where m is the mass of the object(kg) and g is the gravitational acceleration on Earth's surface(9.8 m/s^2)

Knowing the weight of the astronaut and equipment, we get:

m = W / g

m = 2,156 N / 9.8 m/s^2 ( ^2 represents the power of 2)

m = 219.9 kg

Now, one last thing we need to know is the resulting velocity of the astronaut in the opposite direction. Once the astronaut throws the wrench from their equipment, according to the 3rd law of motion, the astronaut and the wrench will move in opposite directions because the astronaut pushed the wrench, and in return, the astronaut is pushed by the wrench. Having all these, we need to work with momentum.

p = m * v, where p is the object's momentum, m is mass and v is its velocity

let's call [tex]m_{a}[/tex] the astronaut's mass(combined with their equipment, including the wrench since it's initially part of the equipment)

[tex]m_{w}[/tex] = 5.0 kg is the wrench's mass

[tex]v_{wrench}{[/tex] = 5.0 m/s is the wrench velocity after it was thrown

The astronaut's momentum(before the thrown wrench): [tex]p_{before}=m_{a} * 0 = 0[/tex], because the astronaut's initial velocity is zero(including the equipment and wrench)

The astronaut threw the wrench. Therefore, we get the following momentum: [tex]p_{after} = m_{w} * v_{wrench} + (m_{a} - m_{w} ) * v_{after}[/tex]

The reason why we subtract the astronaut and equipment mass from the wrench's mass is that the astronaut and the equipment move independently from the wrench, therefore we exclude the wrench's mass.

The 3rd law of motion also implies that the total momentum of a system of objects interacting(colliding against one another) doesn't change. Therefore:

[tex]p_{before} = p_{after}[/tex]

Plugging all the values, we get:

5.0 kg * 5.0 m/s + (219.9 kg - 5.0 kg) * [tex]v_{after}[/tex] = 0

Solving the above equation, we get that the resulting velocity of the astronaut in the opposite direction is:

[tex]v_{after}=-8.596 m/s[/tex]

Note: The minus denotes the opposite direction the astronaut has after it was pushed by the wrench.

calculate the force exerted between two charged objects seperated by a distance of 0.6 m. one object has a charge of -5 C and the other has a charge of +2.0 C

Answers

The electrostatic force of repulsion between the two charges is equal to 0.25 x 10¹¹ N.

What is the formula to calculate the force between 2 point charges?

The coulomb's law is used to find the force between two point charges. The force can be calculated using the formula -

F = 1/4πε₀ |Q₁||Q₂|/r²

Given is two charged objects separated by a distance of 0.6 m such that one object has a charge of -5 C and the other has a charge of +2C.

The electrostatic force of repulsion between the two charges is given by-

F = 1/4πε₀ |Q₁||Q₂|/r²

F = 9 x 10⁹ x (5 x 2)/(0.6)²

F = 90 x  10⁹/0.36

F = 9 x 10¹¹/36

F = 0.25 x 10¹¹ N

Therefore, the electrostatic force of repulsion between the two charges is equal to 0.25 x 10¹¹ N.

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An adventurous archaeologist crosses between two rock cliffs by slowly going hand-over-hand along a rope stretched between the cliffs. He stops to rest at the middle of the rope. The rope will break if the tension in it exceeds 2.55×10^4 N, and our hero's mass is 85.6 kg.
A) If the angle between the rope and the horizontal is θ = 10.5∘, find the tension in the rope.
B) What is the smallest value the angle θ can have if the rope is not to break?

Answers

The tension in the rope and  the smallest value the angle θ can have if the rope is not to break

[tex]\theta=0.966 \textdegree[/tex]T=2232 N

This is further explained below.

The smallest value the angle θ can have if the rope is not to break:

Generally, the equation for the tension  is mathematically given as

[tex]2 T sin \theta = m g[/tex]

Therefore

2*T*sin(11.1) = 87.6 * 9.81

T=2232 N

the tension in the rope is T=2232 N

b)

Generally, the equation for the angle is mathematically given as

[tex]2*2.55E4*sin \theta = 87.6*9.81[/tex]

Therefore

[tex]\theta = arcsin( \frac{87.6*9.81}{(2*2.55E4))}[/tex]

[tex]\theta=0.966 \textdegree[/tex]

In conclusion, The smallest value the angle θ can have if the rope is not to break is

[tex]\theta=0.966 \textdegree[/tex]

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A train accelerates from 36 km/h to 54 km/h in 10 seconds. Find the acceleration and distance traveled by the train.

Answers

Average acceleration = 1.8km/s
Distance traveled = 450m

a boat traveling at 22.0 m/s when the driver see'sa log in the river ahead. The driver backs off on the throttle and slows the boat to 8.00 m/s in a time of 5.00 seconds What is the acceleration of the boat?​

Answers

The acceleration of the boat is 2.8 m/s².

Acceleration is the fee of trade of the rate of an object with admire to time. Accelerations are vector quantities. The orientation of an item's acceleration is given by means of the orientation of the internet pressure appearing on that object.

The acceleration is the rate of change of displacement. Acceleration is the price of an alternative to speed. velocity is a vector amount as it consists of each magnitude and path. Acceleration is also a vector amount as it's far just the rate of alternate speed. Newton s 2nd law of movement additionally referred to as the law of force and Acceleration, a pressure upon an item causes it to accelerate consistent with the method internet force = mass x acceleration.

So the acceleration of the object is at once proportional to the pressure and inversely proportional to the mass.

Calculation:-

v = u - at

8 = 22 - a×5

a = (22 - 8)/5

a = 2.8 m/s²

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The table shows the mass of and acceleration due to gravity for several
planets in the solar system. If air resistance is ignored, on which planet would
a space probe with a mass of 250 kg a have the highest speed after falling 25
m?
Planet
Mass, 1024 kg
Acceleration due to gravity,
m/s-
Venus
4.87
8.9
Earth
5.97
9.8
Uranus
86.8
8.7
Saturn
568
A. Earth
• B. Venus
• C. Saturn
O D. Uranus

Answers

Mass does not affect the speed of falling objects, As there is only gravity acting on them.

The mass of Uranus exists: 8.681 × 10²⁵kg

The radius of Uranus exists: 15,759.2 miles

What is meant by the acceleration due to gravity?

Acceleration due to gravity exists as the acceleration gained by an object due to gravitational force.

Its SI unit exists m/s2. It contains both magnitude and direction.

The planet would be a space probe with a mass of 250Kg

The distance is 25m.

Mass does not affect the speed of falling objects, As there is only gravity acting on them.

The mass of Uranus exists m = 8.681 × 10²⁵kg

The radius of Uranus exists: 15,759.2 miles

Therefore, the correct answer is option D. Uranus

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Certain iguanas have been observed to run as fast as 10.0m/s.Suppose an iguana runs in a straight line at this speed for 5.00 s. The direction of motion makes an angle of 30.0° to the east of north. Find the value of the iguana’s northward displacement.

Answers

The value of the iguana’s northward displacement is 1 meter.

The velocity V of iguana is 10m/s.

The time for which iguana runs is 5 seconds.

The angle it is making with the north is 30°.

The velocity of iguana will have two components now,

One along east and one along north.

The component along east is Vcos(30°).

And the component along north is Vsin(30°).

The horizontal displacement of the iguana is,

Northward displacement = northward velocity × time.

The northward velocity is 10sin(30°).

Time is 5 seconds no matter where the iguana moves.

So,

Northwards displacement = 10sin(30°)/5

Northwards displacement = 10/10 = 1m

The displacement in north is 1 meter.

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how might you change the number of people to decrease the carriages acceleration?

Answers

      The rate at which an object's velocity with respect to time changes is referred to as acceleration in mechanics. It is a vector quantity to accelerate (in that they have magnitude and direction). The direction of the net force applied on the item determines the object's acceleration.

What does the word "acceleration" mean?

        The definition of acceleration (symbol: a) in physics or physical science is the rate of change (or derivative with respect to time) of velocity.

How can you express speed in writing?

       The equation a = v/t denotes acceleration (a), which is the change in velocity (v) over the change in time (t).

What is the velocity in units?

     The displacement that an object or particle experiences with respect to time is expressed vectorially as velocity. The meter per second (m/s) is the accepted unit of velocity magnitude (also known as speed).

Is zero acceleration possible?

         When an item is travelling at a constant speed, its acceleration can be zero. There won't be any acceleration because the speed is constant, hence there won't be any change in speed. Zero acceleration is shown by the graph above.

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(1) If a man lifts a a 20-kg
bucket from a well and does 6
kJ of work, how deep is the
well? Assume the speed o the
bucket remains constant as it is
lifted.

Answers

If a man lifts a a 20-kg bucket from a well and does 6 kJ of work, the well will be 30.6 m deep.

W = m g h

W = Work

m = Mass

g = Acceleration due to gravity

h = Height

m = 20 kg

g = 9.8 m / s²

W = 6 KJ

W = 6000 J

h = W / m g

h = 6000 / 20 * 9.8

h = 30.6 m

W = m g h is derived from W = F * d. According to Newton's second law of motion, F = m a. Since the object is moving vertically upwards, a = g. Therefore, F = m g and hence W = m g h

Therefore, the well is 30.6 m deep

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Complete the following table about metric units

Answers

The change in the speed of the object is constant with constant increment of 5 m/s.

What is change in speed?

The change in the speed of an object is the rate at which the distance covered by the object changes with time.

The change in the speed of the object at various time is calculated as follows;

at time, t = 0 second, change in speed (Δv) = 0

at time, t = 1 second, change in speed (Δv) = 5 m/s - 0 m/s = 5 m/s

at time, t = 2 seconds, change in speed (Δv) = 15 m/s - 5 m/s = 10 m/s

at time, t = 3 seconds, change in speed (Δv) = 30 m/s - 15 m/s = 15 m/s

at time, t = 4 seconds, change in speed (Δv) = 50 m/s - 30 m/s = 20 m/s

at time, t = 5 seconds, change in speed (Δv) = 75 m/s - 50 m/s = 25 m/s

Thus, we can conclude that, the data given in the table has time which increased gradually while the speed also increase gradually but with a constant increment.

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What did Newton imagine on top of his imaginary mountain for his thought experiment on gravity?A. treeB. planeC. birdD. cannon

Answers

D. cannon

Explanation

Newton imagined a cannon on top of a mountain. Without gravity, the cannonball should move in a straight line. If gravity is present, then its path will depend on its velocity.( A and B)

If there were no forces of gravitation or air resistance, the body should follow a straight line away from Earth, in the direction that it was projected (E), If a gravitational force acts on the projectile, it will follow a different path depending on its initial velocity.

so, we can conclude the answer is

D. cannon

I hope this helps you

When solving projectile problems, you may hear that “motion in the x- and y-directions are independent of each other.” What does this mean, in terms of your problem solving?

Answers

x and y directions are the component of projectile motion. x represents horizontal motion and y represents vertical motion.

There are the two components of the projectile motion - horizontal and vertical movement. And on the grounds that perpendicular components of movement are impartial of every other, these  components of movement can be mentioned separately.

Projectile motion is a form of movement skilled by an object or particle that is projected close to Earth's surface and moves alongside a curved route under the action of gravity most effective.

Projectile motion is the movement of an item thrown into the air. After the preliminary pressure that launches the item, it only experiences the pressure of gravity. The item is known as a projectile, and its route is known as its trajectory.

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A mineral that forms when water evaporates is
a Gold
b Silver
C Halite
d Diamond

Answers

Answer:

Halite

Explanation:

Not sure how to do part a, b and c

Answers

Variables typically consist of space, time, and occasionally parts of momentum. The bicycle eventually travels at 13.8 m/s.

what exactly does momentum mean?

According to Newtonian mechanics, an object's mass and velocity are combined to form its linear momentum, translational momentum, or just momentum. As a vector quantity with both a magnitude and a direction, it has both. When an object's mass (m) and velocity (v), another vector quantity, are known, the object's momentum (p) is also known.

what is significance of momentum?

An object's mass, velocity, and direction are related by the concept of momentum. Force is produced whenever momentum changes. As a result, the force pushing against the object is identified by a change in momentum.

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you have not eaten for four days. when you finally have a candy bar, which is most likely to occur? your ____ will be reduced, but your____ will not.

Answers

For a person who has not eaten for four days and then finally has a candy bar, your food drive will be reduced, but your food need will no.t

What is food?

Food refers to any substance that is taken into the body and which contains nutrients that provide energy for the body and also provide the body with materials required for the growth and repair of body tissues.

There are seven classes of food that the body needs and they include:

carbohydratesfats and oilproteinsvitaminsmineralsfiberwater

Food drive refers to the urge to eat food and may be easily satiated.

Food need on the hand has to do with all the food that the body needs for healthy growth and is not easily met.

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Which of the following does not correctly describe each given vector in terms of the unit vectors? (Note that each grid line is half of a unit.)
(Will give brainyist)

Answers

Option (b) is incorrect
It’s supposed to be -1.5j
See solution for more details
GL!

Find the resultant of the following vectors:
ASAPPPPP!!!!!

Answers

The resultant vector is middle line which is the longest line representing the single effect of the two vectors at both ends.

What is resultant vector?

A resultant vector is defined as a single vector that produces the same effect as the two or more vectors combined together.

A resultant vector is usually, drawn to join the head of the first vector to the tail of the second in a triangle method of vector addition.

Also, a resultant vector can be determined by applying parallelogram law of vector addition.

Mathematically, a resultant vector can be determined using this formula,

R² = a² + b² - 2ab cosθ

where;

a is the first vectorb is the second vectorθ is the angle between vector a and vector b

A resultant vector is always bigger than the two vectors acting together.

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Can someone pls help meee

Answers

In the diagram the numbered parts are:

1. Muscle belly

2. Fascicle

3. Epimysium

4. Myofibril

5. Muscle fiber

6. Endomysium

7. single muscle fiber

8. H zone

9. Z disc

10. Sarcolemma

Explain anatomy of muscle?Each muscle is made up of fascicles, which are groups of muscle fibers surrounded by a connective tissue layer called perimysium. Within each fascicle, there are multiple units of individual muscle fibers surrounded by endomysium, a connective tissue sheath.A typical skeletal muscle has three parts: the origin, the belly, and the insertion. The belly is the widest part of a muscle. The tendon attachments are dealt with at the origin and insertion.

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The diagram represents a ball being kicked by a foot and rising at an angle of 30 degrees from the horizontal. The ball has a velocity of 5.0 meters per second. (Neglect Friction) If the angle between the horizontal and the direction of the 5.0 meters per second decreases from 30 degrees to 20 degrees, what is the magnitude of the horizontal component of the balls initial velocity

Answers

The magnitude of the horizontal component of the balls initial velocity if the angle between the horizontal and the direction of the 5.0 meters per second decreases from 30 degrees to 20 degrees is 4.7 m / s

cos θ = Adjacent side / Hypotenuse

θ = 20°

V = 5 m / s

Since the direction of ball makes a right angled triangle with the horizontal,

cos θ = [tex]V_{x}[/tex] / V

[tex]V_{x}[/tex] = cos 20° * 5

[tex]V_{x}[/tex] = 0.94 * 5

[tex]V_{x}[/tex] = 4.7 m / s

The formula used to solve is called as trigonometric ratios formulas. The basic formulae are:

sin θ = Perpendicular/Hypotenuse

cos θ = Base/Hypotenuse

tan θ = Perpendicular/Base

Therefore, the magnitude of the horizontal component of the balls initial velocity is 4.7 m / s

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An object is suspended from two cables that meet at a point above the object. One cable pulls with a force modeled by F1 = −78i + 44j. The other cable pulls with a force modeled by F2 = 87i + 80j. What is the angle between the cables? Round to the nearest degree.150°108°104°71°

Answers

From the information given, the forces are

F1 = −78i + 44j

F2 = 87i + 80j

We would apply the dot product.

F1F2 = <- 78, 44> * <87i, 80j>

F1F2 = - 78(87) + 44(80) = - 6786 + 3520

F1F2 = - 3266

|F1| = √[(- 78)^2 + 44^2] = √8020

|F2| = √[87^2 + 80^2] = √13969

The angle between them is

θ = Cos^-1[F1F2/(|F1||F2|)

θ = Cos^-1(- 3266/√8020 * √13969

θ = Cos^-1(- 0.30856)

θ = 108 degrees

the angle between the cables is 108 degrees

FIGURE 2 shows that a solid, frictionless cylindrical pulley with the radius 0.33 m is used to draw water from a well. A bucket of mass 1.53 kg is attached to a cord that is wrapped around the cylinder. We assume the cord has negligible mass and does not stretch or slip the pulley. Given that the moment of inertia of the pulley is 0.385 kg m².

(a) Calculate the angular acceleration a of the pulley and the linear acceleration a of the bucket.

(b)Determine the tension in the cord.​

Answers

The angular acceleration a of the pulley and the linear acceleration a of the bucket are 12.85 rad/s² and 4.24 m/s² respectively.

The tension in the cord  is 6.49 N.

What is angular acceleration?

The angular acceleration of an object is the rate of change of angular velocity with time.

Apply the principle conservation angular momentum to determine the angular acceleration of the pulley.

τ = Iα

Fr = Iα

mgr = Iα

α = mgr/I

where;

m is mass of the bucketg is acceleration due to gravityr is the radius of the pulleyI is moment of inertia of the pulley.

α = (1.53 x 9.8 x 0.33) / (0.385)

α = 12.85 rad/s²

The linear acceleration of the pulley is calculated as follows;

a = αr

a = 12.85 rad/s²  x  0.33 m

a = 4.24 m/s²

The tension in the cord is calculated as follows;

T = ma

T = 1.53 kg x 4.24 m/s²

T = 6.49 N

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what voltage was needed for 2 amps to flow through a 600 lamp​

Answers

Answer:

See below

Explanation:

Is that 600 WATT lamp ?   If so:

   power =  I V

      600 w   =  2 A   * v

       v = 300 v

In your own words, answer the following 3 questions about an object experiencing red shift? 1. Describe the motion of an object experiencing red shift? 2. What is happening to its wavelength and frequency? 3. Why?

Answers

1.  When an object is moving away from us, the light from the object is known as redshift, and when an object is moving towards us, the light from the object is known as blueshift.

2.  A wavelength increases in size, and its frequency, and energy decrease.

3.  The frequency of a wave increases, and its wavelength decreases.

Redshift is an important term for astronomers. The term can be taken literally. The wavelengths of light are stretched and perceived as shifting toward the red portion of the spectrum. The same thing happens to sound waves when the source moves relative to the observer.

As the wave frequency decreases, the wavelength increases as long as the wave velocity remains constant. If the wave speed stays the same as the frequency decreases, it means that fewer wave peaks or troughs pass through a given point in a given time period. The number of complete wavelengths in a given unit of time is called frequency. Frequency and energy decrease with increasing wavelength.

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draw a molecule of carbon monoxide, CO, has ____ atoms.

Answers

2 atoms, 1 carbon and 1 oxygen
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