A 60.0 kg runner is moving at 6.00 m/s and speeds up to 9.00 m/s. The runner’s change in kinetic energy is 1,350 J.

How much work was done?

Answers

Answer 1

Answer:

1,350 J

Explanation:

According to the work-energy theorem, the work done equals the change in kinetic energy.  So W = 1,350 J.

Answer 2

A 60.0 kg runner is moving at 6.00 m/s and speeds up to 9.00 m/s. Hence, The work done on the runner is 810 J.

Given:

ΔKE = 1,350 J

The change in kinetic energy (ΔKE) is equal to the work done on the runner (W).

ΔKE = W

Given:

ΔKE = 1,350 J

ΔKE = KE(final) - KE(initial)

KE(initial) = (1/2) × m × (initial velocity)² =  (1/2) × 60.0 × (6.00)² =  540 J

KE(final) = (1/2) × m × (final velocity)² = (1/2) × 60.0 × (9.00)² =  1,080 J

Now, we can find the work done is:

ΔKE = KE(final) - KE(initial)

1,350 = 1,080 - 540 + W

1,350= 540 + W

W = 810 J

Therefore, the work done on the runner is 810 J.

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Related Questions

How do MRIs physically work?

Answers

Answer:

An MRI scanner applies a very strong magnetic field

Explanation:

Magnetic resonance imaging (MRI) uses a superconducting magnet to create a strong magnetic field, causing hydrogen nuclei in the body to emit signals when subjected to a radio frequency current. These signals are interpreted by a computer to form detailed images of internal structures that differentiate between tissue types and provide information about organ function and health conditions.

How Do MRIs Physically Work?

MRI, or magnetic resonance imaging, is a technique that uses a combination of strong magnetic fields and radio waves to generate detailed images of the inside of the body. The largest part of the MRI unit is a superconducting magnet that creates a consistent magnetic field, usually between 1 and 2 Tesla (T) in strength. Within this field, hydrogen nuclei, which are abundantly found within the water in soft tissues, align with the magnetic field.

When a radio frequency current is briefly activated, it creates a varying electromagnetic field that causes these hydrogen protons to absorb energy and move out of their initial aligned position. Upon deactivating the radio frequency field, the hydrogen protons release the absorbed energy and realign with the magnetic field, emitting electromagnetic signals in the process. The emitted signals are picked up by sensors within the MRI machine and subsequently interpreted by a computer to create a highly detailed image that differentiates tissues based on their density and composition.

This process allows medical professionals to gain invaluable information about structures within the body, from the shape of vertebral disks to the condition of brain tissue. The different responses of normal vs. non-normal tissues to slight changes in the magnetic field also provide insights into organ function and the presence of medical conditions such as tumours, strokes, and infections. MRI imaging is a powerful tool that can track ions across membranes, detail anatomical structures, and monitor organ function without exposure to ionizing radiation.

A force is acting on each of the objects below.

Answers

Answer:

D

Explanation:

The forces have the same magnitude (3N), but different directions.  So they are different.

The magnitude and direction of the forces acting on the object indicates that the resultant forces are;

12) D.

13) A

14) B

15) A

What is a resultant force?

A resultant force is the force obtained by adding together or summing the components of the forces acting at a point or location.

12) The magnitude and directions of the forces are;

3 N to the left

3 N downwards

3 N To the right

A force is a vector quantity that has both magnitude and direction, therefore, the forces are different because their directions are different. The correct option is therefore option D.

13) The force of one student is 200 N to the right and the force of the other student is 150 N to the left, therefore;

The resultant force is the sum of the two forces. Taking the right direction as the positive direction, we get;

The resultant single force is; 200 N + (-150) N = 50 N

The resultant force is 50 N. The correct option is option A

14) When the force of gravity is equivalent to the force of the air resistance holding the ball, we get;

The resultant force = 0 N

Force = Mass × Acceleration, therefore;

Mass × Acceleration of the ball = 0

The mass of the ball is not zero, therefore, the acceleration of the ball is zero and the ball is falling at a constant speed. The correct option therefore is option B.

15. The forces acting on the box are;

20 N to the right and 30 N to the left

40 N downwards and 10 N upwards

The resultant force will therefore be; 20 - 30 = -10 which is 10 N to the left and 10 - 40 = -30, which is 30 N downwards

The box will increase in speed downwards and to the left, which corresponds to option A

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A steel ball rolls with a constant velocity on a tabletop 0.950 m high it rolls off and hit the ground 0.352 m from the edge of the table. How fast was the ball rolling ?

Answers

Answer:

0.799 m/s if air resistance is negligible.

Explanation:

For how long is the ball in the air?

Acceleration is constant. The change in the ball's height [tex]\Delta h[/tex] depends on the square of the time:

[tex]\displaystyle \Delta h = \frac{1}{2} \;g\cdot t^{2} + v_0\cdot t[/tex],

where

[tex]\Delta h[/tex] is the change in the ball's height. [tex]g[/tex] is the acceleration due to gravity. [tex]t[/tex] is the time for which the ball is in the air.[tex]v_0[/tex] is the initial vertical velocity of the ball. The height of the ball decreases, so this value should be the opposite of the height of the table relative to the ground. [tex]\Delta h = -0.950\;\text{m}[/tex].Gravity pulls objects toward the earth, so [tex]g[/tex] is also negative. [tex]g \approx -9.81\;\text{m}\cdot\text{s}^{-2}[/tex] near the surface of the earth. Assume that the table is flat. The vertical velocity of the ball will be zero until it falls off the edge. As a result, [tex]v_0 = 0[/tex].

Solve for [tex]t[/tex].

[tex]\displaystyle \Delta h = \frac{1}{2} \;g\cdot t^{2} + v_0\cdot t[/tex];

[tex]\displaystyle -0.950 = \frac{1}{2} \times (-9.81) \cdot t^{2}[/tex];

[tex]\displaystyle t^{2} =\frac{-0.950}{1/2 \times (-9.81)}[/tex];

[tex]t \approx 0.440315\;\text{s}[/tex].

What's the initial horizontal velocity of the ball?

Horizontal displacement of the ball: [tex]\Delta x = 0.352\;\text{m}[/tex]; Time taken: [tex]\Delta t = 0.440315\;\text{s}[/tex]

Assume that air resistance is negligible. Only gravity is acting on the ball when it falls from the tabletop. The horizontal velocity of the ball will not change while the ball is in the air. In other words, the ball will move away from the table at the same speed at which it rolls towards the edge.

[tex]\begin{aligned}\text{Rolling Velocity}&=\text{Horizontal Velocity} \\&= \text{Average Horizontal Velocity}\\ &=\frac{\Delta x}{\Delta t}=\frac{0.352\;\text{m}}{0.440315\;\text{s}}=0.0799\;\text{m}\cdot\text{s}^{-1}\end{aligned}[/tex].

Both values from the question come with 3 significant figures. Keep more significant figures than that during the calculation and round the final result to the same number of significant figures.

Final answer:

The steel ball was rolling at approximately 0.8 m/s when it fell off the table. This was determined using the physics principles of projectile motion and the known values of acceleration due to gravity, vertical displacement, and horizontal displacement.

Explanation:

This physics question involves the concept of projectile motion. Contrary to horizontal motion, the vertical motion is affected by gravity. Ignore air resistance for simplicity.

When the steel ball falls off the table, it freely falls under acceleration due to gravity which is approximately 9.8 m/s², being directed downward. From the time it leaves the edge of the table to the time it hits the ground, it experiences a vertical displacement of 0.950 m (the height of the table).

Let's use the equation: y = V0yt + 0.5gt². Here y is the displacement (0.950 m), g is acceleration due to gravity (9.8 m/s²), and V0y is the initial vertical velocity of the ball, which is zero since the ball is moving horizontally on the table. So, we can solve this equation for time (t).

Inserting known values: 0.950 m = 0.5*(9.8 m/s²)*t². We solve for t and get t = sqrt((2*0.950 m)/(9.8 m/s²)) ~= 0.44 s.

The speed of the ball right before it falls off the table is the horizontal component of velocity, which remains constant throughout the whole motion. The horizontal distance the ball travels is 0.352 m. We can use this along with the time it takes to travel this distance to solve for horizontal speed (Vx).

Since Vx = x/t, we have Vx = 0.352 m / 0.44 s, so Vx ~= 0.8 m/s.

So, the steel ball was rolling at approximately 0.8 m/s when it fell off the table.

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All of the noble gases, Group 18, have eight valence electrons in its outer shell (excluding helium which only has two).
Which of these would represent the oxidation number of the noble gases such as xenon and argon?
A) -8
B) -2
C) 0
D) +8

Answers

C) 0 cause it’s a stable reaction

Answer:

C 0

Explanation:

Its an unstable reaction

How does Electromagnetic Energy Travel?

Answers

Answer:

Perpendicular to the electric field and magnetic field

Explanation:

Electromagnetic waves are transverse waves composed by the perpendicular oscillating electric and magnetic fields.

EM waves have both Electrical and magnetic features.

they travel in the velocity of light (3*10⁸ ms⁻¹)

they does not require any media to travel. It has two perpendicular electric field and the magnetic field which are perpendicular to each other

They travel perpendicular to each of those electric and magnetic fields.  

the words bin and bean. rot and rat are examples of (blank)

Answers

Answer:

the correct answer is homonyms

Explanation: Hope it helped

Answer:

MINIMAL PAIRS

Explanation:

got it correct on plato

Which type of electromagnetic waves have longer wavelengths that the waves that make up visible light.

Answers

Answer:

radiation

Explanation:

Answer:

radio waves, microwaves, infrared waves, visible light, ultraviolet waves, X-rays, gamma rays

Explanation:

Assuming that the acceleration due to gravity is 32.2 ft/s2 and air resistance is negligible, a projectile is launched at 56° above the horizontal with an initial velocity of 36 ft/s. The launch and landing sites are at the same elevation.

What is the projectile’s range?

Answers

Answer:

37 ft

Explanation:

First find the air time:

y = y₀ + v₀ᵧ t + ½ gt²

0 = 0 + (36 sin 56°) t + ½ (-32.2) t²

0 = 29.8 t - 16.1 t²

0 = t (28.8 - 16.1 t)

t = 1.85 s

Now find the range:

x = x₀ + v₀ t + ½ at²

x = 0 + (36 cos 56°) (1.85) + ½ (0) (1.85)²

x = 37.3 ft

Rounded to two sig-figs, the range is 37 feet.

Final answer:

The range of a projectile launched at an angle of 56° above the horizontal with an initial velocity of 36 ft/s, neglecting air resistance and considering that the launch and landing sites are at the same elevation, is approximately 129.17 ft.

Explanation:

In Physics, the range of a projectile launched at an angle can be calculated with the following equation: Range = (v² sin 2θ )/ g where v is the initial velocity, θ is the launch angle, and g is the acceleration due to gravity.

In this case, v = 36 ft/s, θ = 56°, and g = 32.2 ft/s². Converting the angle from degrees to radians gives us θ = 56° × π/180 = 0.977 radians.

Plugging in the values and using the sine of double the angle, we have: Range = (36 ft/s)^2 sin(2 * 0.977 rad) / 32.2 ft/s² = 129.17 ft.

So, the range of the projectile, assuming negligible air resistance and the launch and landing sites are at the same elevation, is approximately 129.17 ft.

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Matter is made up of very small particles called​

Answers

Answer:

atoms

Explanation:

Answer:

The answer is atoms

Explanation: A definition of "matter" more fine-scale than the atoms and molecules definition is: matter is made up of what atoms and molecules are made of, meaning anything made of positively charged protons, neutral neutrons, and negatively charged electrons.

What are the two main types of energy?

a. potential and electrical
b. radiant and kinetic
c. electrical and thermal
d. kinetic and potential

Answers

The two major types of energy is option d, kinetic and potential energy.

Answer:

the answe is d your welcome

Explanation:

what is the acceleration of a body moving with a velocity of 30 m/s in a circle of radius 10 m​

Answers

if the body is moving in a circle, then it moves with a centripetal acceleration and it is given by,

a=v^2/r

where, velocity(v)=30m/s

radius(r)=10 m

so a=30^2/10=90m/s^2

Final answer:

The body that is moving in a circle with a constant velocity of 30 m/s and radius of 10m has a centripetal acceleration of 90 m/s².

Explanation:

The student is inquiring about the acceleration of an object moving in a circle, specifically a body moving with a constant velocity in a circular path. This is a question of circular motion in Physics.

The acceleration of a body moving in a circle is called centripetal acceleration. It's directed towards the center of the circle. In Physics, the formula to calculate centripetal acceleration (ac) is:

ac = v^2/r

where:

v is the velocity of the body, andr is the radius of the circle.

In this scenario, the body is moving with a velocity (v) of 30 m/s and the radius (r) of the circle is 10 m. Using the above formula, the acceleration would be:

ac = 30^2 / 10 = 900 / 10 = 90 m/s²

The body has a centripetal acceleration of 90 m/s².

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A new ride being built at an amusement park includes a vertical drop of 71.6 meters. Starting from rest, the ride vertically drops that distance before the track curves forward. If the velocity at the bottom of the drop is 10.0 m/s and the mass of the cart and passengers is 3.5 x 104 kg, how much potential energy was converted into thermal energy (heat)?

A. 2.3 x 10^7 J
B. 2.6 x 10^7 J
C. 4.3 x 10^7 J
D. 6.7 x 10^7 J

Answers

Answer:

The correct answer is A

Explanation:

I did the test twice and A) 2.3 x 10^7 J was correct.

Final answer:

The potential energy converted into thermal energy (heat) is 2.38 x 10^7 J.

Explanation:

The amount of potential energy converted into thermal energy (heat) can be calculated using the principle of conservation of energy. The initial potential energy of the ride is equal to the final kinetic energy at the bottom of the drop. The change in potential energy is given by the formula ΔPE = mgh, where m is the mass, g is the acceleration due to gravity, and h is the height. Substituting the given values, we have ΔPE = (3.5 x 10^4 kg)(9.8 m/s^2)(71.6 m) = 2.38 x 10^7 J.

Which objects has such a strong surface gravity that light cannot escape it?

Answers

Black holes.

Although black holes don't have surface they are the only known object that has gravity that not even light can escape it.

Jenny is very nervous about giving her speech, and when she stands up in
front of the class, she stutters and does a poor job. This is an example of:

Answers

Answer:

Stage fright

Explanation:

Stage fear is one that a person experiences when he feels exposed to what others are going to say. This feeling is characterized by the fear of public speaking. Some common causes are large crowds or stress associated with an important presentation where people can stutter and do a poor job.

Answer:

social impairment

Explanation:truuuust

in an inverse relationship, when one variable increases, the other blank

Answers

Answer:

Decreases

Explanation:

Given the relationship: a=k/b where k is a constant and a and b are variables,  we can now evaluate the relationship.

Increasing a means that b has to reduce for the relationship to stand.

Lets say, a=2 b= o.5 and k =1

These values satisfy the argument.

When we increase a to 4, then we get:

4=1/b

our new b will be= 1/4 or o.25

Thus an increase in one variable leads to a decrease in in the other variable.

What is the energy equivalent of an object with a mass of 23 g

Answers

Answer:

0.207x10^16 Joules!

Explanation:

Using Einstein's law of mass energy, we know that the energy of a matter is:

E = mc^2

where, m [kg] = mass

c [m/s] = speed of light

In this case:

m=23g = 0.023kg.

c = 3×10^8m/s (This is an aproximation)

Then:

E = mc^2 = (0.023kg)(3×10^8m/s)^2 = 0.207x10^16 Joules!

The focal point of a concave mirror is _____ the mirror. ( in front of; behind)

Answers

The focal point of a concave mirror is IN FRONT OF the mirror.

Answer:

in front of the mirror

Explanation:

The emission spectrum of the element lithium is shown below.



What is the best estimate of the color that will be seen when a sample of lithium gas absorbs a lot of energy?

mix of blue and green
mix of red and orange
mix of yellow and green
pure yellow

Answers

Answer:

mix of red and orange

Explanation:

The lithium emission spectrum indicates high intensity at the wavelength of 600nm to 700nm

In the visible light spectrum, colors that are in this range are;

Red=700 - 630 nm

Orange= 630 to 590nm

A sample of lithium gas that has absorbed a lot of energy will show  a mix of red and orange colors

Answer:mix of red and orange

Explanation:

10. the discovery by nikola tesla that out-of-phase alternating currents caused _________ is considered one of the 10 greatest scientific discoveries.

A.) motivation

B.) circulation

C.) rotation

Answers

I think that the answer is C but give me a minute to make sure I’m correct

the discovery by Nikola tesla that out-of-phase alternating currents caused rotation is considered one of the 10 greatest scientific discoveries.

What is current ?

A movement of charged particles, such as electrons or ions, through an electrical conductor or a vacuum is known as an electric current. The net rate of electric charge flow through a surface is how it is described Charge carriers, which can be any of a number of particle kinds depending on the conductor, are the moving particles. Electrons flowing over a wire are frequently used as charge carriers in electric circuits. They can be electrons or holes in semiconductors. Ions are the charge carriers in an electrolyte, whereas ions and electrons are the charge carriers in plasma, an ionized gas.

The passage of electric charge across a surface at a rate of one ampere is the SI unit for electric current.

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_____ interference occurs when two waves are in phase.

Answers

Answer:

constructive interference

Explanation:

A wire carries a current of 10 amps in a direction of 90 degrees with respect to the direction of an external magnetic field of strength 0.3 tesla. What is the magnitude of the magnetic force on a 5m length of wire?​

Answers

Answer:

15 N

Explanation:

The magnetic force on a piece of current-carrying wire is given by:

[tex]F=ILB sin \theta[/tex]

where

I is the current in the wire

L is the length of the piece of wire

B is the magnetic field strength

[tex]\theta[/tex] is the angle between the direction of B and I

In this problem:

I = 10 A

B = 0.3 T

L = 5 m

[tex]\theta=90^{\circ}[/tex]

Substituting into the equation, we find

[tex]F=(10 A)(0.3 T)(5 m) sin 90^{\circ}=15 N[/tex]

To calculate the magnetic force on a 5m wire carrying a 10 amps current in a 0.3 tesla magnetic field at a 90-degree angle, we use the formula F = IBL sin(θ). The result is a magnetic force of 15 Newtons.

The magnitude of the magnetic force on a 5m length of wire carrying a current of 10 amps and situated at a 90-degree angle with respect to the direction of an external magnetic field of 0.3 tesla.

To find the magnitude of the magnetic force, we use the formula F = IBL sin(θ), where F is the force, I is the current, B is the magnetic field strength, L is the length of the wire, and (θ) is the angle between the wire and the magnetic field.

Given that I = 10 A, B = 0.3 T, L = 5 m, and (θ) = 90 degrees (or \(\pi/2\) radians), the sine of 90 degrees is 1. Therefore, F = 10 A x 0.3 T x 5 m x 1 = 15 N.

The magnitude of the magnetic force on the wire is 15 Newtons.

Which item is made from a synthetic material? A. cotton pants B. leather jacket C. tissue paper D. wicker basket

Answers

Answer:

is the letter A

Explanation:

Out of choices which is given above, Wicker basket is the only product which is made from a synthetic material.

Answer: Option D

Explanation:

Cotton is entirely different from synthetic fibers which is very soft fabric and absorbs heat ghastly compared to other materials. People living in area with mostly summer prefer cotton. Leathers are used in cold climatic regions which protects them from experiencing cold temperature. Tissue papers are made from paper pulp and so from the given options wicker basket is the only one made of synthetic material.

Which result in an increase in power

Answers

Answer:

doing more work in less time?

Explanation:

Answer:

more work n less time

Explanation:

13. opposite poles of two magnets are attracted to each other due to ________.

A.) electricity

B.) magnetism

C.) electromagnetism

D.) none of these

Answers

I believe that

B. Magnetism

Is the answer

magnetism is the right answer

How do simple machines make work easier? A. They decrease the power available. B. They maintain the distance of a force. C. They apply force quickly. D. They change the strength or direction of a force.

Answers

Answer:

C or D I would think

Explanation:

Answer:

the answer is d

Explanation:

How do the electrical patterns in electronics convey information?

With analog and electric signals
With analog and digital signals
With electric and thermal signals
With electric and digital signal

Answers

Answer:

Electronics convey information with electrical patterns called analog and digital signals.

Explanation:

A digital signal encodes information as a string of 1's and 0's. Pulsing a current on and off can produce a digital signal. When the current is off, it represents a 0.

an orifice tube is located​

Answers

an orifice tube is located within the tube between the condenser & the front evaporator

What is the definition of ego?

Answers

a person's sense of self-esteem or self-importance.

PSYCHOANALYSIS
the part of the mind that mediates between the conscious and the unconscious and is responsible for reality testing and a sense of personal identity.

Ego is defined as oneself especially contradicted with another self in the world.

Explanation:

The Latin word for ‘I.’ is Ego. Ego is defined as oneself especially as contrasted with another self. Ego is related to meaning to the word conceit.

Some of the synonyms of the word ego are self-respect, pride, self-esteem. Ego is our conscious mind, which has the identity considering the "self." It results in pride feel which makes someone superior to others.

The more active a cell is, the more of these structures it has.
What are these structures?

a. ribosomes
b. chromosomes
c. mitochondria
d. vacuoles

Answers

Answer:pretty sure its mitochondria

Explanation:

A car travelling with 20 m/s , comes to halt after travelling 18 m .Find the time taken by the car to stop.

Answers

Answer:

The answer is 1.8 m/s.

Explanation:

Formula of speed is given below:

Speed, V = Distance / time

Given data:

Distance, d = 18 m

Initial veliocity = 20 m/s  

Final velocity = 0 m/s

Time taken, t = ?

Find average speed:

Average speed =( initial velocity + final velocity)/2

                        = (20 + 0)/ 2

                         = 20/2 = 10 m/s

Average speed  = distance / time

Time = distance / Average speed

Time, t = 18m / 10ms-1 = 1.8 m/s

The time taken by the car is 1.8 m/s

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