an airplane propeller is 1.80 m in length (from tip to tip) with mass 90.0 kg and is rotating at 2800 rpm (rev/min) about an axis through its center. you can model the propeller as a slender rod.
What is its rotational kinetic energy?
Suppose that, due to weight constraints, you had to reduce the propeller's mass to 75.0% of its original mass, but you still needed to keep the same size and kinetic energy. What would its angular speed have to be, in rpm?

Answers

Answer 1

The rotational kinetic energy of the propeller with the original mass is approximately 7.99 × 10⁵ joules.

In order to maintain the same kinetic energy with a reduced mass of 75.0%, the propeller's angular speed would 56.03 rpm.

To calculate the rotational kinetic energy of the propeller, we'll use the formula:

Rotational Kinetic Energy (KE) = (1/2) * I * ω²

Where:

KE is the rotational kinetic energy

I is the moment of inertia of the propeller

ω is the angular velocity of the propeller

Calculate the moment of inertia (I)

For a slender rod rotating about its center, the moment of inertia is given by:

I = (1/12) * m * L²

Where:

m is the mass of the propeller

L is the length of the propeller

Calculate the rotational kinetic energy (KE₁) with the original mass

To calculate the kinetic energy, we need to convert the angular velocity from rpm to radians per second (rad/s)

KE₁ = (1/2) * I * ω₁²

KE₁ = (1/2) * 18.0 kg·m² * (293.66 rad/s)²

KE₁ ≈ 7.99 × 10⁵ J

Determine the new mass of the propeller

Calculate the new angular velocity (ω₂) to maintain the same kinetic energy

To calculate the new angular velocity, we'll use the same formula as before, but solve for ω₂:

KE₂ = (1/2) * I * ω₂²

Since we want the new kinetic energy (KE₂) to be the same as the original (KE₁), we can equate the two equations:

(1/2) * I * ω₁² = (1/2) * I * ω₂²

Simplifying and solving for ω₂:

ω₂² = (ω₁² * m₁) / m₂

Where:

ω₁ is the original angular velocity

m₁ is the original mass

m₂ is the reduced mass

[tex]w_2 = \sqrt{w_1^2 * m_1) / m_2)}[/tex]

ω₂ = [tex]\sqrt{293.66 rad/s)^2 * 90.0 kg / 67.5 kg)}[/tex]

ω₂ ≈ 350.55 rad/s

Convert the new angular velocity to rpm

To convert ω₂ from radians per second to rpm:

ω₂rpm = ω₂ * (1 min/60 s) * (1 rev/2π rad)

ω₂rpm = 350.55 rad/s * (1 min/60 s) * (1 rev/2π rad)

ω₂rpm ≈ 56.03 rpm

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Related Questions

Particles q1, q2, and 9 are in a straight line.
Particles q1 = -5.00 • 10-6 C,92 = +2.50 • 10-6 C, and 93 = -2.50 • 10-6 C. Particles qi and q, are separated by 0.500 m. Particles q2 and q3 are separated by 0.250 m. What is the net force on q2?

Answers

Answer:

0.27475 N

Explanation:

To find the net force acting upon q2, we need to find the force exerted by q1 to q2 and the force exerted by q3 to q2, and to do that we should apply the formula

[tex]F = |\frac{kq_{1}q_{2} }{r^{2} }|[/tex]

where in k is coulomb's constant ([tex]8.99*10^9 \frac{Nm^{2}}{C^{2}}[/tex])

q1 and q2 are the charges

and r is the distance between the two charges.

Finding the force exerted to q2 by q1:

[tex]F = |\frac{(8.99*10^{9} * (-5*10^{-6}) * (2.5*10^{-6})}{(0.500)^{2}}|[/tex]

F = 0.4995 N

q1 would be attracted to q2, so it would go to the right, so it's a positive force

Finding the force exerted to q2 by q3:

[tex]F =|\frac{(8.99*10^{9})*(-2.5*10^{-6})*(2.5*10^{6})}{0.250^{2}}|[/tex]

F = 0.22475 N

q3 would be attracted to q2, so it would go to the left, so it's a negative force

F = -0.22475N

Add-up the forces: 0.4995 + (-0.22475) = 0.27475 N

Which of the following is a metric unit of measure that measures length and distance?a.) Footb.) Areac.) Meterd.) Yard

Answers

Meter is a metric unit of measure that measures length and distance because area is not any of the measurement unit.

We always measure the physical properties of a thing using particular units. For example, the unit for measuring your bodyʼs mass is the pound and the unit for measuring your height is inches. But, of course, itʼs not as simple as that. If you use the metric system you measure your mass in kilograms, not pounds, and you measure your height in centimeters.

And even if you measure your height in inches, you are probably mix two different units: feet and inches. Although we can measure the mass and lengths of the devices and we deal with in computer architecture, we are typically more interested in a third property.

Time (measurement unit: the second) and the related properties of period and its reciprocal, frequency. Furthermore, computers manipulate physical representations of information, which has its own measurement unit.

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Imagine that you are a skeptic of Alfred Wegener. Write a one-paragraph statement to criticize his work. Your criticism must include challenges about:
Why could the continents NOT possibly move the way Wegener is describing?
How the fossils could naturally be located in the places Wegener found them, without the continents moving.
Why Wegener is not qualified to be proposing theories in the fields of geology and Earth history.

Answers

Inability of Wegener to provide adequate explanation of the forces responsible for continental drift and prevailing belief that the earth was solid and immovable resulted in scientific dismissal of his theories.

Why could the continents not move the way Wegener is describing?

The primary reason that Wegener's hypothesis could not be accepted was because he suggested no mechanism for the moving of continents. He thought that the force of Earth's spin was sufficient enough to cause continents to move, but geologists knew that rocks are too strong for this to be true.

Wegener is not qualified to propose theories in the fields of geology and  history of Earth because there was no mechanism available to endorse his proposals and offer convincing and truthful explanation.

The fossils could naturally be located in the places Wegener found them because fossils are mostly found where sedimentary rocks of the right age are exposed, such as river valleys, cliffs and hillsides.

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A fire hose sends 1 000 kg of water per minute against a
burning building. The water strikes the building at
20.0 m/s and does not bounce back. (a) What is the rate
of change of momentum of the water? (b) What force
does the building exert on the water? (c) What force does
the water exert on the building?

Answers

(a) The rate of change of momentum of the water is 333.33 kgm/s².

(b) The force exerted by the building against the water is -333.33 N.

(c) The force exerted by water against the building is 333.33 N.

What is the change in momentum of the water?

The rate of change of momentum of the water is calculated by applying the following equation as shown below.

ΔP/t = mv / t = (m/t)v

where;

m/t is water rate = 1000 kg / minv is the velocity of the water = 20 m/s

ΔP/t = ( 1000 kg x 20 m/s ) / ( 1 min x 60 s )

ΔP/t = 333.33 kgm/s²

Based on Newton's third law of motion, action force and reaction force are equal and opposite. If the water exerts a certain force against the building, the building will exert equal and opposite force against the water.

The force exerted by water against the building, F = ma = (mv) / t

F = (mv) / t = 333.33 N

The force exerted by the building against the water;

F = - 333.33 N

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Two carts with masses of 4.0 kg and 3.3 kg move toward each other on a
frictionless track with speeds of 5.9 m/s and 4.6 m/s, respectively. The carts stick
together after colliding head-on. Find their final speed. Answer in units of m/s.

Answers

Crash of two vehicles that are moving directly toward each other

What is the final speed?

This is a difficulty with momentum conservation. Each cart has a starting momentum equal to its mass multiplied by its velocity. When they hit and stick together, they become a single unit of combined mass of 4 kg + 5 kg, and their new velocity must account for momentum conservation.

Assume the 4 kilogram cart is coming from the left and the 5 kg cart is coming from the right. This results in a velocity of +12 m/s for the 4 kg cart and a velocity of -9 m/s for the 5 weight cart.

The carts’ early moments are

(4 kg * 12 m/s) = 48 kg * m/s

And

-45 (kg * m)/s = (5 kg * -9 m/s)

This results in a total starting momentum of 48 + (-45) = 3 (kg * m)/s.

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Jamie finds the height of a classroom by dropping a penny from the ceiling. It takes 0.8 seconds to hit the ground. How tall are the ceilings?

Answers

Answer:

The height of the classroom can be determined using the equation:

height = (1/2) * g * t^2

Where:

g = the acceleration due to gravity (approximately 9.8 m/s^2 on Earth)

t = the time it takes for the penny to fall (0.8 seconds)

Plugging in the known values, we get:

height = (1/2) * 9.8 m/s^2 * (0.8 s)^2

height = 3.072 m

So the ceilings are approximately 3.072 meters tall.

Explanation:

A pile of gunpowder can represent chemical ____ energy , while a flying pulley can represent mechanical ____ energy

Answers

A pile of gunpowder can represent chemical potential energy , while a flying pulley can represent mechanical kinetic energy.

Thermal energy is kinetic energy associated with the random motion of atoms and molecules. Temperature is a quantitative measure of “hot” or “cold.” When the atoms and molecules in an object are moving or vibrating quickly, they have a higher average kinetic energy (KE), and we say that the object is “hot.”

The specific heat capacity (c) of a substance, commonly called its “specific heat,” is the quantity of heat required to raise the temperature of 1 gram of a substance by 1 degree Celsius (or 1 kelvin)..

Like matter, energy comes in different types. One scheme classifies energy into two types: potential energy, the energy an object has because of its relative position, composition, or condition, and kinetic energy, the energy that an object possesses because of its motion.

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What is the relationship between current and resistance across a circuit?
O joint variation
O inversely proportional
O no relationship
O directly proportional

Answers

Answer: The relationship between current, voltage and resistance is expressed by Ohm's Law. This states that the current flowing in a circuit is directly proportional to the applied voltage and inversely proportional to the resistance of the circuit, provided the temperature remains constant.

Explanation:

During which time period do you have to use your head lights?

Answers

Answer:at night.

Explanation:

A baseball diamond is a square with sides of 90 feet. What is the shortest distance.

Answers

The shortest distant will be the diagonal of the square. The value of the diagonal of the square is 127.3 feet.

How to find the diagonal value?

Square is a figure with a four sides that has the same value for each. The formula for its diagonal is sides√2. As per given sides is 90 feet. The calculation will be:

Diagonal = sides√2

Diagonal = 90√2

Diagonal = 90 x 1.41421356237

Diagonal = 127.279220613

Let round the value. So, the diagonal = 127.3 feet. You can also determine diagonal value from phytagoras theory by dividing the square into 4 triangle then calculate the diagonal.

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Which of the following is not true about a longitudinal wave?

A (They are all considered mechanical waves.

B (They need a medium (material) in order to travel.

C (They move up and down (perpendicular) to the direction of the wave's energy.

D (They move along with (parallel to) the direction of the wave's energy.

Answers

Answer:

Which of the following is NOT TRUE about a longitudinal wave?

A. They are all considered mechanical waves.B. They need a medium (material) in order to travel.C. They move up and down (perpendicular) to the direction of the wave's energy.D. They move along with (parallel to) the direction of the wave's energy.

Explanation:

What are waves?A wave is a disturbance in a medium that carries energy without permanently moving a substance. Particles of the medium are momentarily displaced and then return to their original location in a wave.Mechanical waves are waves that require a medium to transport energy from one location to another. Mediums are materials that move energy or light from one substance or location to another. Answer breakdownsChoice C is the best answer. In a transverse wave, particles of the medium are displaced in a direction that is perpendicular to the direction of energy transport.Choice D is incorrect. This choice describes exactly what a longitudinal wave is. In a longitudinal wave, particles of the medium are displaced in a direction that is parallel to the direction of the wave's energy. Choice A is incorrect. A mechanical wave is any wave that requires a medium to transport energy from one location to another. Choice B is incorrect. As per choice A's explanation, if the longitudinal waves are mechanical they must then require a medium.

a. What is the momentum of an 8-kg bowling ball rolling at 2 m/s?
b. If the bowling ball rolls into a pillow and stops in 0.5 s, calculate the average force it exerts on the pillow.
c. What average force does the pillow exert on
the ball?

Answers

Answer:

a. 16 kg m/s

b. -32 N (Newton)

c. 32 N

Explanation:

a. The momentum of an object is the product of its mass and velocity. The formula for momentum is: momentum = mass x velocity

So, in the case of an 8-kg bowling ball rolling at 2 m/s, the momentum would be: momentum = 8 kg x 2 m/s

= 16 kg m/s

The unit of momentum is kg m/s (kilogram meter per second). The momentum of this bowling ball is 16 kg m/s. It is important to note that the direction of velocity is also important when calculating momentum, so it is important to know the direction of the bowling ball.

b. To calculate the average force that the bowling ball exerts on the pillow, we can use the equation: force = change in momentum / change in time

The change in momentum is equal to the final momentum minus the initial momentum. Since the bowling ball is rolling at 2 m/s and stops in 0.5s, we can assume that its final momentum is 0 (since it stops moving) and the initial momentum is 16 kg m/s.

change in momentum = final momentum - initial momentum

= 0 - 16 kg m/s

= -16 kg m/s

change in time = 0.5s

So,

force = -16 kg m/s / 0.5 s

= -32 N (Newton)

The negative sign indicates that the force is opposite to the direction of motion of the bowling ball. This is expected as the force exerted by the pillow is acting in the opposite direction of the ball's motion, thus slowing it down and bringing it to a stop.

It is important to note that the force exerted by the pillow on the bowling ball is equal and opposite to the force exerted by the bowling ball on the pillow, this is Newton's third law of motion.

c. The average force that the pillow exerts on the ball is equal and opposite to the average force that the ball exerts on the pillow, as stated by Newton's third law of motion. This is because when the ball collides with the pillow, the pillow exerts an equal and opposite force on the ball to stop its motion. Therefore, the average force that the pillow exerts on the ball is 32 N, in the opposite direction of the ball's motion.

An astronaut at rest in space with mass 84 kg fires a thruster that expels 35 g of hot gas at 875 m/s. What is the velocity of the astronaut after firing the thruster?.

Answers

Answer:

  about 0.365 m/s

Explanation:

You want to know the velocity of an astronaut who starts from rest and fires a thruster that expels 35 g of gas at 875 m/s.

Momentum

The total momentum of the system is the same before and after the thruster is fired: 0.

If v is the velocity of the astronaut, it must satisfy the equation ...

  (84)v +(0.035)(875) = 0

  v = -(0.035)(875)/(84) ≈ -0.3646

The velocity of the astronaut is about 0.365 m/s in the direction opposite of the expelled gas.

__

Additional comment

We have used (kg·m/s) as the units of momentum. 35 g = 0.035 kg. We have also assumed that the mass of the system before firing is a total of 84.035 kg

What is the net torque on the pulley about the axle?

Answers

τnet = (TL ‐ TR)R is the needed net torque just on pulley about the axle.

How do pulleys work?

A flexible line, cord, rope, chain, or belt is fastened to the rim of a wheel termed as a pulley. To transport motion and energy, pulleys may be employed singly or in combination.

If TL and TR are really the stresses pulling there at left and the sides of the pulleys, respectively, the net torque here on pulley would then be defined as net = (TL - TR)R, in which R represents the radius of pulley (see Fig. 1). It is believed that positive torque moves in a clockwise direction.

This means that  τnet = (TL ‐ TR)R is the necessary formula for net torque.

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Need help asap !!!!!!!!!!!!?!!!!?

Answers

Answer: A, B, and C

Explanation: A standard room-vacuuming robot doesn't unpack itself from the box it comes in.

Why do iron filings arrange around a U-shaped magnet?

Answers

IRON FILINGS

Iron filings arrange around a U-shaped magnet because of the magnetic field generated by the magnet. The magnetic field creates invisible lines of force that extend out from the north pole of the magnet to the south pole. The iron filings align themselves along these lines of force, which form a pattern that is often described as "field lines." The U-shaped magnet has two poles, north and south, and the field lines extend from the north pole to the south pole, passing through the center of the U-shape. The filings align along these lines of force, forming a pattern that is often described as "field lines". As the filings come in contact with the magnetic field, they align in a pattern that is determined by the strength and direction of the magnetic field.

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two astronauts are pushing a satellite in space. astronaut 1 is pushing with 42 N positive on the x axis, astronaut 2 is pushing a force 15º above the positive y axis. what force is astronaut two pushing with

Answers

The force with which the second astronaut is pushing is 11.25 N in the problem given.

What is the force of the second astronaut?

We have to note that force is a vector and because that force is a vector, we know that the direction of the force that has been applied is also very important.

As we know, it is clear that;

Force of an astronaut Fₓ = 42 N

Angle θ = 15º

Then we can write that;

F = 42 tan 15

= 11.25 N

Thus, the force that acts as the second astronaut is pushing is about 11.25 N.

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A child and sled with a combined mass of 46.0 kg slide down a frictionless hill that is 10.4 m high at an angle of 26 ◦ from horizontal. The acceleration of gravity is 9.81 m/s^2. If the sled starts from rest, what is its speed at the bottom of the hill? Answer in units of m/s.

Answers

The speed of the child is 14.28 m/s at the bottom of the hill.

What is law of conservation of energy?

Energy cannot be created or destroyed, according to the law of conservation of energy. However, it is capable of change from one form to another. An isolated system's total energy is constant regardless of the types of energy present.

Initial potential energy = final kinetic energy

mass × acceleration of gravity × height = 1/2 × mass × speed²

Speed = √( 2 × 9.81 m/s² ×10.4 m)

Speed = 14.28 m/s

So, the speed of the child is 14.28 m/s at the bottom of the hill.

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calculate the movement of a 2000-kg truck travelling 19m/s

Answers

Answer:

The movement of a 2000-kg truck travelling at 19 m/s is 38,000 kgm/s.

In aerobic respiration, glucose and oxygen are used up and carbon dioxide, water and __________ are released.

Answers

the filling to your question is byproducts.

An illustration of a mass on a vertical spring with a transverse wave showing the position of the mass on the spring will make a transverse wave shape if bouncing up and down and moving horizontally. The shortest spring has the mass at the top of each crest and are labeled a and e respectively. The position where the mass in in the trough of the transverse wave would be labeled c and stretches the spring the farthest. The middle length springs has masses where the equilibrium of the material of the medium containing the transverse wave would be at the equilibrium of the material would be and are labeled b and d. At which point(s) is the net force the greatest? at which point(s) is the net force zero?.

Answers

The statement describing point D is "The net force is zero, so the acceleration is zero."

Simple Harmonic Motion is the alternating motion of an object through its equilibrium point. In simple harmonic motion, the object accelerates in a direction toward the equilibrium point. Acceleration that occurs in simple harmonic motion is caused by a rebound force.

The speed of the object at the equilibrium point is maximum. Examples of simple harmonic motion are the alternating motion of a pendulum and the alternating motion of a mass-spring system.

The acceleration of an object will be proportional to the amount of force (force results) acting on the object and inversely proportional to its mass.

At point D we are in a situation where the spring passes its equilibrium position, so x=0, therefore the net force is zero and the acceleration is zero.

The question is multiple choice:

A.The velocity has the maximum upward value because the acceleration upward is at a maximum.B.The net force is at a maximum in the downward direction, so the velocity begins to decrease.C.The velocity is zero because the net force is zero.D. The net force is zero, so the acceleration is zero.

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Arocket mass 1500kg if the engines provide a force 2000N, what would its accelerations..
Please ​

Answers

Answer:

Force=mass × acceleration

or, acceleration=Force/mass

=2000/1500

:. Acceleration=1.33 m/s²

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20 of 35
Which of the following is true?
A
All EM waves are transverse in shape, but mechanical waves can be
either transverse or longitudinal.
All mechanical waves are transverse in shape, but EM waves can be
either transverse or longitudinal.
b
SUBMIT ANSWER
B
D
All EM waves are longitudinal in shape, but mechanical waves can be
either transverse or longitudinal.
All mechanical waves are longitudinal in shape, but EM waves can be
either transverse or longitudinal.

Answers

B is the answer!


Explanation: It’s correct.

sound wave is emitted underwater by a device. This device measures the reflection time. This description best illustrates

echolocation technology
sonar technology
refraction technology
reflection technology

Answers

This description best illustrates sonar technology.

Which explains how lightning is formed?
A two objects with the same electric charge rub together
B electrons flow through a conductor
C raindrops conduct electricity from clouds to the ground
D two objects with different electric charges rub together

Answers

The lightning is formed by  two objects with different electric charges rub together Hence, option (D) is correct.

What is lightning?

Charges created by rubbing can be used to explain lightning. The water droplets flow downhill during a thunderstorm while the air currents rise higher.

As a result of this process, the positive charges gather close to the cloud's upper edge, while the negative charges gather close to the cloud's lower edge and also close to the ground.

The charge's magnitude increases significantly as it builds up. Airborne water droplets serve as a conductor for this charge.

Lightning and thunder are produced when these charges flow to meet.

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Answer: C raindrops conduct electricity from clouds to the ground

Explanation:

A twig at rest in a pond moves with a speed of 0.40 cm/s
opposite a 2.5 g snail, which has a speed of 1.2 cm/s.
What is the mass of the twig?

Answers

The mass of the twig is determined as 7.5 g.

What is the mass of the twig?

The mass of the twig is calculated by applying the principle of conservation of linear momentum as shown below.

This principle states that the sum of initial momentum of a system is equal to the sum of the final momentum of the system, provided the system is isolated.

Pi = Pf

where;

Pi is the momentum of the twigPf is the momentum of the snail

(0.4  x m ) = ( 1.2 x 2.5 )

m = ( 1.2 x 2.5 ) / ( 0.4 )

m = 7.5 g

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convert the following measurement
0.0088(g/cm^3)=_____ kg/m^3

Answers

Answer:

0.00088 kg/m³

Explanation:

Given:

[tex] \displaystyle{ \dfrac{8.8 \times {10}^{ - 3} \: \text{g} }{ \text{cm}^{3} }}[/tex]

Let's consider cm³ to m³ first. We know that m³ is 100 cm³. Therefore, cm³ would equal to m³ × 10 negative squared:

[tex] \displaystyle{ \dfrac{8.8 \times {10}^{ - 3} \: \text{g} }{ {10}^{ - 2} \: \text{m}^{3} }}[/tex]

And from the numerator, 1 kg = 10³ grams. Therefore, 1 gram would equal 10 to negative cube kg Hence:

[tex] \displaystyle{ \dfrac{8.8 \times {10}^{ - 3} \times {10}^{ - 3} \: \text{kg} }{ {10}^{ - 2} \: \text{m}^{3} }}[/tex]

Then evaluate using law of exponent where if same bases multiply each other, we add the exponents:

[tex] \displaystyle{ \dfrac{8.8 \times {10}^{ - 3 - 3} \: \text{kg} }{ {10}^{ - 2} \: \text{m}^{3} }} \\ \\ \displaystyle{ \dfrac{8.8 \times {10}^{ - 6} \: \text{kg} }{ {10}^{ - 2} \: \text{m}^{3} }} \\ \\ \displaystyle{ \dfrac{8.8 \times {10}^{ - 6 + 2} \: \text{kg} }{ \: \text{m}^{3} }} \\ \\ \displaystyle{ \dfrac{8.8 \times {10}^{ - 4} \: \text{kg} }{ \: \text{m}^{3} }}[/tex]

And 8.8 × 10^-4 is equal to 0.00088. Therefore, the answer is 0.00088 kg/m³

Is cycling up a hill kinetic energy?

Answers

Yes, cycling up a hill is kinetic energy.

Kinetic energy refers to the energy of motion, which is observable as the movement of an object. Every move has kinetic energy. For instance, cycling up a hill can convert up to 90% of an individual's energy and movement into kinetic energy. The kinetic energy produced is then used to move the cycle up to the hill. Momentum, along with the balance of the rider, helps keep the cycle stable while traveling along the path up to the hill.

Therefore, it is concluded that cycling up a hill is kinetic energy.

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A 5.6kg ball has rolled down a hill. At the bottom of the hill, the ball is moving 2.4 m/s.

(1) What is the kinetic energy of the ball?

(2) How high was the hill?

Answers

A 5.6kg ball has rolled down a hill. At the bottom of the hill, the ball is moving 2.4 m/s. The kinetic energy of the ball is 16.128 Joules.

What is  kinetic energy?

The energy that an object possess as a result of motion is termed  as kinetic energy.KE is determined  as the effort needed to move a mass-determined body from rest to the indicated velocity for it motion. The body holds onto the kinetic energy it acquired while its acceleration until its speed changes.

Solution:

Given:

Mass of the ball = 5.6kg

g=9.8m/s

velocity=2.4 m/s

Kinetic energy =(1/2)mv^2,

Kinetic energy=(1/2)5.6*2.4^2

Kinetic energy=16.128 Joules

For the height of the hill :

mgh=1/2 mv^2

h=1/2 mv^2/mg

h= 16.128 /5.6*9.8

h=28.224m

Hence, the hill was 28.224m high.

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Two billiard balls of equal mass undergo a perfectly elastic head-on collision. If one ball's initial speed was 2. 00 m/s, and the other's was 3. 60 m/s in the opposite direction, what will be their speeds and directions after the collision?.

Answers

After the collision, the final velocity of both balls will be (2.00 + 3.60) m/s in the same direction.

What is collision?

The outcome of the two things applying force to one another. The kinetic energy of the two objects is transformed into the other forms, such heat or sound, when they contact. Both elastic and inelastic collisions exist. Both the colliding objects maintain their original energy in an elastic collision.

The first ball has kinetic energy of (1/2)mv² where m is the mass of the ball and v is the velocity. The second ball has kinetic energy of (1/2)m(3.60)²

After collision, the final velocity of both balls in the same direction can be calculated using the conservation of momentum.

m1v1 + m2v2 = m1v'1 + m2v'2

where m1,m2 are the mass of the balls, v1 and v2 are the initial velocities of the two balls and v'1 and v'2 are the final velocities of the two balls.

Given that the mass of the two balls is equal, you can simplify this equation as:

v1 + (-v2) = v'1 + v'2

and solving for v'1 and v'2 gives v'1 = (v1+v2) and v'2 = (v1+v2)

Therefore, after the collision, the final velocity of both balls will be (2.00 + 3.60) m/s in the same direction.

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