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3. Jessica stretches her arms out 0.6 m from the center of her body while holding a 2 kg mass in each hand. She then spins around on an ice rink at 1.1 m/s.
a. What is the combined angular momentum of the masses?
b. If she pulls her arms in to 0.15 m, what is her linear speed if the angular momentum remains constant?

Answers

Answer 1

3.

a)

r = distance of each mass in each hand from center = 0.6 m

m = mass of each mass in each hand = 2 kg

v = linear speed = 1.1 m/s

L = combined angular momentum of the masses = ?

Combined angular momentum of the masses is given as

L = 2 m v r

L = 2 (2) (1.1) (0.6)

L = 2.64 kg m²/s


b)

v' = linear speed when she pulls her arms = ?

r' = distance of each mass from center after she pulls her arms = 0.15 m

Using conservation of momentum , angular momentum remains same, hence

L = 2 m v' r'

2.64 = 2 (2) (0.15) v'

v' = 4.4 m/s



Related Questions

if an object is at rest and experiences a force of 100 to the right and 50N to the left which way will the object accelerate?

Answers

im pretty sure it will go to the right side.


subtract 100 - 50

= 50

it is the right side because u have to subtract 50 - 10

What is the amplitude of the wave shown in the diagram?

Answers

The amplitude is from the absolute value of the 0 point on the y-axis to the highest(peak) or lowest(troph) point of the wave. In this question, 3cm is the highest and -3cm is the lowest, so the amplitude is 3cm.

Answer: The amplitude of the wave is 3 cm

Explanation:

Amplitude is defined as the maximum distance that is moved by a point on a  wave which is measured from its equilibrium position. It is equal to the half the length of the vibration path.

In the given figure,

OA is the one half of the distance of the vibration pathway and is the amplitude of the wave.

Distance of OA = 3 cm

Hence, the amplitude of the wave is 3 cm

The (blank) is something that should be tested according to the comfort level of the golfer. a. GRIP b. PUTTING GREEN c. SAND TRAP d. TEE

Answers

Answer:   a). Grip

The grip is the important thing to be consider for golfer. It is the most fundamental important aspects to the game, because it provides the solid contact.

Applying the correct grip, results in better golf shots and an increased confidence to the golfer, to address the ball in the right direction.

Simply the grip is the pressure applied to the club with the hand such that the golfer feels comfortable to make a brilliant shot.



Describe the relationship between the potential energy and kinetic energy of an object and the amount of Kinetic energy it can gain in a gravitational field

Answers

Kinetic energy of an object is the energy it contains due to movement. If an object is at rest, it doesn't have kinetic energy. If it's moving, then it has kinetic energy. It's pretty simple! The amount of kinetic energy of an object is dependent upon two variables, one being the mass of the object

Final answer:

In a gravitational field, an object gains potential energy as it moves to a higher position, and loses this energy, transforming it into kinetic energy, as it descends. This is a manifestation of energy conservation where total energy remains constant while energy types (potential and kinetic) transform into each other.

Explanation:

The relationship between potential energy and kinetic energy involves the concept of energy conservation and transfer. In a gravitational field, an object gains potential energy as it moves to a higher position. This potential energy is stored energy due to its position in the gravitational field.

As the object descends, its gravitational potential energy decreases, and this energy gets transferred to kinetic energy. Hence, the kinetic energy of the object increases as it falls downwards. The kinetic energy of the object is related to its speed. The faster the object moves, the larger its kinetic energy. This energy transformation from potential to kinetic energy may continue until all potential energy is converted into kinetic energy, assuming there's no other form of energy loss like air resistance.

This interchange between potential and kinetic energy is a key aspect of energy conservation, which states that the total energy of an isolated system remains constant. In the case of this gravitational field scenario, the conversion from potential to kinetic energy illustrates the principle of energy being neither created nor destroyed, but simply transformed from one type to another.

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Explain why do conductors and insulators are both required to construct electrical wiring in your home

Answers

Conductors are needed because in order to get electricity in your home, the conductive substances need to transfer the energy from point A to point B. Insulation is needed around the conductor because you want the energy to stay in the conductive substance in order to bring it to the place where electricity is needed.

About 90 percent of the stars in space are a. Nebula c. Main sequence b. Giant d. White dwarf Please select the best answer from the choices provided A B C D

Answers

About 90 percent of the stars in space are Main Sequence stars. (c)

Answer:

c. Main Sequence

Explanation:

90% of the stars in space are in the main sequence stage.

Nebula is a cloud of dust and hot gases where stars are born. Giant and white dwarf are types of stars.

A plot of star temperature vs luminosity is used to classify all the stars. This plot is known as HR diagram. When plotted on the HR diagram, 90% of the known stars lie on the main sequence stage of the HR Diagram.

A train traveling at a constant speed covers a distance of 960 meters in 30 seconds. What is the train's speed?

Answers

32 meters per second


Answer:

32 m/sec

Explanation:

Given,

⇒ Distance that is covered= 960 meters

⇒ Time taken= 30 seconds

We know that,

⇒ [tex]Speed=\frac{distance}{time taken}[/tex]

⇒ [tex]Speed =\frac{960}{30}[/tex]

Therefore, speed = 32 m/sec.

In this lab you will use a cart and a track to explore Newton's second law of motion. You will vary two different variables and determine how each one affects how quickly the cart moves along the track. In the space below, write a scientific question that you can answer by doing this experiment.

Answers

Answer:

Newtons II law:

    It  is defined as "the net force acting on the object is a product of mass and acceleration of the body" . Also it defines that the "acceleration of an object is dependent on net force and mass of the body".

Let us assume that,a string is attached to the cart, which passes over a pulley along the track. At another end of the string a weight is attached which hangs over the pulley. The hanging weight provides tension in the spring, and it helps in accelerating the cart. We assume that the string is massless and no friction between pulley and the string.

Whenever the hanging weight moves downwards, the cart will accelerate to right side.

For the hanging weight/mass

When hanging weight of mass is m₁ and accelerate due to gravitational force g.

           Therefore we can write F = m₁ .g

and the tension acts in upward direction T (negetive)

        Now, Fnet = m₁ .g - T

                          = m₁.a

So From Newtons II law F =  m.a

Answer:

Sample Response: How do force and mass affect the acceleration of an object?

Explanation:

During a demonstration of the gravitational force on falling objects to her class, Sarah drops an 11 lb. bowling ball from the top of the science building. Determine distance the ball has traveled after falling for 1.0 second, ignoring air resistance and given the gravitational acceleration of 9.8 m/sec^2.

A) 4.9 m


B) 11 m


C) 20 m


D) 32 m

Answers

The instant it was dropped, the ball had zero speed.

After falling for 1 second, its speed was 9.8 m/s straight down (gravity).

Its AVERAGE speed for that 1 second was (1/2) (0 + 9.8) = 4.9 m/s.

Falling for 1 second at an average speed of 4.9 m/s, is covered 4.9 meters.

ANYTHING you drop does that, if air resistance doesn't hold it back.

The Answer is A)


nvfobovbb

please help on this one ?

Answers

Answer:

N/nm

Explanation:

The spring constant is a factor on the proportionality between the force of a spring and its stretched distance. The force is the product of the spring constant, typically measured in Newtons per meter and the distance measured in meters.

The unit N/nm is correct, however, it implies the distance must be expressed in nanometers (billionths of a meter), which is quite unusual.

force/ectension suggesta A

A player kicks a soccer ball from ground level and sends it flying at an angle of 30 degrees at a speed of 26 m/s. What is the maximum height attained by the ball? Round the answer to the nearest tenth of a meter

Answers

Answer:

8.6 m

Explanation:

The motion of a soccer ball is a motion of a projectile, with a uniform motion along the horizontal (x-) direction and an accelerated motion along the vertical (y-) direction, with constant acceleration [tex]a=g=-9.8 m/s^2[/tex] towards the ground (we take upward as positive direction, so acceleration is negative).

The initial velocity along the vertical direction is

[tex]v_{y0} = v_0 sin \theta = (26 m/s)(sin 30^{\circ})=13 m/s[/tex]

Now we can consider the motion along the vertical direction only. the vertical velocity at time t is given by:

[tex]v_y(t)=v_{y0} +at[/tex]

At the point of maximum height, [tex]v_y(t)=0[/tex], so we can find the time t at which the ball reaches the maximum height:

[tex]0=v_{y0}+at\\t=-\frac{v_{y0}}{a}=-\frac{13 m/s}{-9.8 m/s^2}=1.33 s[/tex]

And now we can use the equation of motion along the y-axis to find the vertical position of the ball at t=1.33 s, which corresponds to the maximum height of the ball:

[tex]y(t)=v_{y0}t + \frac{1}{2}at^2=(13 m/s)(1.33 s)+\frac{1}{2}(-9.8 m/s^2)(1.33 s)^2=8.6 m[/tex]

When matter and energy change forms within a closed system, A. The total amount of energy changes, but the total amount of matter does not. B. The total amount of both matter and energy changes. C. The total amount of matter changes, but the total amount of energy does not. D. The total amount of both matter and energy does not change.

Answers

Answer: Option D. The total amount of both matter and energy does not change.

Explanation:

From Law of conservation of energy and Einstein's mass-energy relation, we know that, energy neither is formed not is destroyed. It converts from one form to another. Einstein's mass-energy relation: E = mc². It means, Matter is a form of energy i.e. matter holds energy equivalent to product of its mass and square of speed of light. Matter and energy can change forms but the total amount does not change in a closed system. Thus, correct option is D.

Answer: the total amount of both matter and energy does not change (d)

Explanation:

i just got this question on Study Island

This image shows a stream of positively charged particles being directed at gold foil. The positively charged particles are called "alpha particles” and each one is like a nucleus without any electrons.


What is the best explanation for why a particle is striking point X?

Answers

it is colliding with a proton or neutron, it is deflecting toward point X. is the best explanation for why a particle is striking point X.

What is an alpha particle?

Alpha particles, also known as alpha rays or alpha radiation, are made up of two protons and two neutrons bonded together to form a helium-4 nucleus-like particle.

The experiment demonstrates Rutherford's atomic model, and he reasoned that every atom has a nucleus that holds all of its positive charge and the majority of its mass.

it means that most of the space inside it is vacant, but when it strikes the nucleus directly, it returns at 180°, and when it passes through the nucleus, it bends away at a 90°.

Hence it is colliding with a proton or neutron, it is deflecting toward point X. is the best explanation for why a particle is striking point X.

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Why are more firefighters needed to help hold the fire hose when the increase of water flow increases the force of the water?

Answers

Answer:

A. When the force of the water increases, the reaction force pushing the hose back also increases.

When the force of the water increases, so does the reaction force pulling the hose back. The law of action reaction is the concept used to explain.

What is Newton's third law of motion?

According to Newton's third law of motion, every action has an equal and opposite reaction. As well as, the action and reaction are always acted in pairs.

The water flow in pipe increases the force of the water because of the law of action-reaction.

When the force of the water increases, so does the reaction force pulling the hose back. The law of action reaction is the concept used to explain.

Hence, due to the more reaction force or firefighters needed to help hold the fire hose when the increase of water flow increases the force of the water.

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The more reactive an atom, the higher its potential energy. Which atom has the higher potential energy? Ne F Which of these statements is true about your choice? This atom will gain two more electrons to fill its outer energy level. This atom will lose one more electron to fill its outer energy level. This atom will gain one more electron to fill its outer energy level. This atom will lose two more electrons to fill its outer energy level.

Answers

Fluorine (F) has higher potential energy as Neon (N) is a noble/inert gas.

Fluorine will lose another electron to gain stability.


Fluorine has the higher potential energy. And the statement, "This atom will lose two more electrons to fill its outer energy level" is correct.

The concept of potential energy of an atoms is like that, the electrons absorb energy, they excites and move to higher energy level. Then the distance between lower energy level and higher energy level decides the potential energy. Which means, higher the energy level, higher will be the potential energy.

Also, more the tendency to loose electrons, more will be the potential energy of electrons of an atoms.

In the given problem, the neon (Ne) is a noble gas which do not has tendency to either loose electrons or gain electrons. Which means it is highly stable and do not have any observed value of potential energy.While fluorine has the electronic configuration of [tex][2s^{2}\;\; 2p^{5}][/tex], which means it has the tendency to loose two electrons to gain the stability. So, compared to neon, fluorine has higher potential energy. Because the atoms will loose two more electrons to fill its outer energy level.

Thus, we can conclude that fluorine has the higher potential energy. And the statement, "This atom will lose two more electrons to fill its outer energy level" is correct.

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If a particle spends 8 seconds in the air and travels 320 m forward and to a height of 64 m what is the horizontal velocity

Answers

he speed up the incline is 300m/5s = 60m/s


the horizontal component of that is 60 cos 15 = 57.95m/s


The scientist who discovered the laws of motion was _____.

A.Aristotle
B.Albert Einstein
C.Galileo Galilei
D.Isaac Newton

Answers

Sir Isaac Newton discovered and described the laws of motion in his book Principia Mathematica published on July 5th, 1687.

D. Isaac Newton

Answer:

D, Isaac Newton.

Explanation:

Newton's laws of motion, relations between the forces acting on a body and the motion of the body, first formulated by English physicist and mathematician Sir Isaac Newton.

An object's natural frequency depends partially on the material from which it is made.

Answers

Yes. Partly.  Also on the size and shape of the object, and also on what material it's IN at the time ... like air, water, Helium, Jello, etc.

An object's natural frequency depends partially on the material from which it is made.

true - material determines its strength, hardness, elasticity n other physical properties dat affect its natural frequency. other factors include the shape n size of the object.

What is the difference between brake horsepower and thrust horsepower?

Answers

1. HP is the output horsepower rating of an engine, while Brake horse power is the input brake horsepower of an engine. ...  Brake horse power is the measurement of an engine's power without any power losses, while HP is  less the power losses Brake horse power

Final answer:

Brake horsepower (BHP) and thrust horsepower (THP) are two different measurements of power in engines. BHP refers to the power output of an engine, while THP is the power generated by a jet engine or propeller to produce thrust.

Explanation:

In physics, brake horsepower (BHP) and thrust horsepower (THP) are two different measurements of power, particularly in the context of engines.

Brake horsepower refers to the power output of an engine measured at the engine's crankshaft, before any losses due to friction or other factors. It is commonly used to describe the power of internal combustion engines in vehicles.

On the other hand, thrust horsepower is a measurement of power specifically for jet engines or propellers. It is the power that the engine or propeller generates in order to produce thrust and propel the aircraft forward.

You are in a planet where the acceleration due to gravity is known to be 3.28 m/s^2. You drop a ball and record that the ball takes 2.40 s to reach the ground. How fast is the ball moving just as it lands? Neglect air resistance.

A.) 1.12 m/s

B.) 7.87 m/s

C.) 3.55 m/s

D.) 2.81 m/s

Answers

B) 7.87 m/s

The gravitational pull is the rate of change of velocity which is the acceleration. Formula for acceleration is;
[tex]a = \frac{final \: velocity - initial \: velocity}{time \: taken} [/tex]

Given:

• Initial velocity = 0m/s; I dropped the ball, and didn't throw it, so it was at rest firstly
• Time taken = 2.40s
• Acceleration = 3.28m/s^2

We're require to find the final velocity, at which the ball hit the ground with. Ignoring air resistance, keep in mind that the velocity of an object increases as it comes closer to the ground.

[tex]3.28 = \frac{final \: velocity - 0}{2.40} [/tex]
[tex]3.28 \times 2.40 = final \: velocity[/tex]
[tex]final \: velocity = 7.872 \frac{m}{ {s} } [/tex]

What point is labeled in the scatter plot?

A. (2,8)
B. (7,4)
C. (8,2)
D. (4,7)

Answers

D. Would be your answer

Explanation: (4,7) equals (x,y)
So just count 4 in the x axis FIRST then count 7 up in the y axis SECOND





Which is a way that acoustic engineers attempt to limit the destructive interference of reflected sound waves in an auditorium?


designing a space with a lower ceiling

designing a space with sound-absorbing tiles

designing a smaller space

designing a larger space

Answers

Correct answer is B. Designing a space with sound-absorbing tiles.

In order to limit the destructive interference of reflected sound waves in an auditorium, the acoustic engineers needs to provide sound-absorbing tiles in that area. Due to reflection of sound waves, destructive interference is created in the hall of auditorium. Sound-absorbing tiles have ability to absorb those waves and provide good sound ecosystem to the auditorium room.  

Find the Maclaurin series for f(x) using the definition of a Maclaurin series. [Assume that f has a power series expansion. Do not show that Rn(x) → 0.] Find the associated radius of convergence R. f(x) = cos(3x)/5

Answers

The statement about pointwise convergence follows because C is a complete metric space. If fn → f uniformly on S, then |fn(z) − fm(z)| ≤ |fn(z) − f(z)| + |f(z) − fm(z)|, hence {fn} is uniformly Cauchy. Conversely, if {fn} is uniformly Cauchy, it is pointwise Cauchy and therefore converges pointwise to a limit function f. If |fn(z)−fm(z)| ≤ ε for all n,m ≥ N and all z ∈ S, let m → ∞ to show that |fn(z)−f(z)|≤εforn≥N andallz∈S. Thusfn →f uniformlyonS.

2. This is immediate from (2.2.7).

3. We have f′(x) = (2/x3)e−1/x2 for x ̸= 0, and f′(0) = limh→0(1/h)e−1/h2 = 0. Since f(n)(x) is of the form pn(1/x)e−1/x2 for x ̸= 0, where pn is a polynomial, an induction argument shows that f(n)(0) = 0 for all n. If g is analytic on D(0,r) and g = f on (−r,r), then by (2.2.16), g(z) =

A 5.5 kg ball initially at rest is dropped from the top of a 12 m building. It hits the ground 1.75s later. Find the net external force on the falling ball

Answers

Final answer:

The net external force on the falling ball is 62.87 N.

Explanation:

To find the net external force on the falling ball, we can use Newton's second law, which states that force is equal to mass multiplied by acceleration. In this case, the mass of the ball is 5.5 kg and the acceleration can be found using the equation of motion: d = (1/2)at^2, where d is the distance and t is the time. Plugging in the given values, we can calculate the acceleration to be approximately 11.43 m/s^2. Now, we can use Newton's second law: force = mass x acceleration = 5.5 kg x 11.43 m/s^2 = 62.87 N.

Your dog sleeps on the floor. He has a mass of 14 kg. The coefficient of static friction between him and the floor is 0.3, and the coefficient of kinetic friction is 0.25.

a. What is the weight of your dog?
b. What is the normal force acting on your dog?
c. What is the maximum force of static friction?
d. You push horizontally on your dog with a force of 50 N. Does your dog slide?
e. Later, you are sliding your dog across the floor at a speed of 2 m/s. What is the force of kinetic friction acting on your dog?

Answers

Answer:

A.137.2N

B 137.2N

C.41.16 N

D.Yes

E. 34.3N

Explanation:

THe weight of any object is calculated by multiplying the mass of the object by the gravity of where they are in, in this case is the earth, the gravity of earth is [tex]9.8\frac{m}{s^{2} }[/tex], so the weight of the dog would be:

[tex]w=(14kg)(9.8\frac{m}{s^{2}})[/tex]

[tex]m=137.2 N[/tex]

Now the normal force is the same as the weight.

[tex]Nf=w= 137.2N[/tex]

The maximum force of static friction is calculated by multiplying the weight by the coefficient of static friction:

[tex]Sf=(w)(coefficient)[/tex]

[tex]Sf=(137.2N)(0.3)[/tex]

[tex]Sf=41.16[/tex]

To know this you just have to know the total static force to know if the dog moves, since the force pulling the dog towards the floor is on the Y axis and you are pushing on the x axis, that force is nulified, but you have the friction froce, which is 41.16N, since the force you are pushing with is 50N the dog moves.

When you are sliding somthing over any surface you just have to multiply the weight of the object by the coefficient kinetic friction.

[tex]Kf=(w)(coefficient)[/tex]

[tex]Kf=(137.2N)(.25)[/tex]

[tex]Kf=34.3N[/tex]

If at the rate at which a disturbence is made is doubled, what what is the effect on the period, frequency, amplitude, and wavelength of a wave?

Answers

by definition , frequency is the rate at which disturbance is made through a medium. hence when rate at which disturbance is made doubled, the frequency also gets doubled,

Time period is given as

T = 1/f                      where T = time period , f = frequency

so when frequency is doubled , Time period becomes half , since Time period is inversely related to the frequency.

Amplitude does not depend on frequency hence amplitude remains unchanged .

wavelength is given as

λ = v/f

Wavelength becomes half when the frequency is doubled since wavelength is inversely related to frequency and speed is constant.

A 700.0-cm rope under a tension of 65.0 N is set into oscillation. The mass density of the rope is 90.0 g/cm. What is the frequency of the second overtone (n = 3)?

Answers

Answer:

0.58 Hz . . . . (none of the offered choices)

Explanation:

The attachment shows the formula for the fundamental frequency. In order to use it, we need the various parameters to be in compatible units. For tension (T) in Newtons, the mass density (m/L) must be in kg/m.

We have a mass density of 90 g/cm, so ...

... (90 g/cm)×(1 kg/(1000 g))×(100 cm/m) = 9 kg/m

Likewise, the length (L) must be in meters:

... (700 cm)×(1 m/(100 cm)) = 7 m

Then the fundamental frequency (f₁) is ...

... f₁ = √(T/(m/L))/(2L) = √(65/9)/(2·7) = 0.192 . . . Hz

The 2nd overtone (3rd harmonic) is 3 times this frequency:

... f₃ = 3·f₁ ≈ 3·0.192 Hz = 0.576 Hz

_____

Comment on answer choices

Very likely, your computer is expecting you to select 0.18 Hz. This number is the number you get if you use the mass density of 90 g/cm directly, without changing it to kg/m first. That is, the correct answer (0.58 Hz) is inappropriately divided by √10 to get 0.18 "Hz." (The units are not actually Hz, but are Hz×√10.)

Have your teacher show you the dimensional analysis that goes along with arriving at the number 0.18 "Hz".

You can't do this problem the way the units are now, and when you do try it as it stands, you can't get the answers they are getting. Since you are likely doing a review, you might be intended to get the a different answer than the ones listed so that you can make an educated appeal. You can proceed in one of two ways but you must choose one of them.

The rope is in gram / cm so you could change the 65 N into dynes  

1 Newton = 10^5 dynesT = 65 * 10^5 dynesm/l = 90 grams / cmL = 700 cmf = ??

Formula

f = sqrt(T / (m/L )) * 2 * L

Solution

f= sqrt(65 * 10^5 / (90) / 700 cm * 2f = sqrt(65 * 10^5 / 90) / 1400f = sqrt(72222.2) / 1400f = 268.741 / 1400f = 0.192   Note this is the fundamental frequency.f3 = 3*0.192f3 = 0.576 Hz

The other way to do it to convert the 90 grams / cm into kg / m

90 grams / cm * [ 1 kg/1000 grams] * [100 cm / 1 m]

90 grams / cm = 9 kg / m

Givens

T = 65 Ndensity = 9 kg / mL = 700 cm = 7 meters.

Solution

f = sqrt(65 /(9) ) / 2 * 7f = sqrt(7.2222) / 14F = 2.69 / 14F = 0.192 Hzf3 = 3*0.192

f3 = 0.576 Hz In any case the answer is not there and I'm reasonably certain that two of us doing the same question getting more or less the same answer cannot be totally incorrect unless we are both making the same mistake.

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As the distance between an object and the center of the Earth is increased,

the object's mass decreases and its weight remains the same
both the object's mass and its weight remain the same
both the object's mass and its weight decrease
the object's mass remains the same and its weight decreases

Answers

Answer:

The objects mass remains the same and its weight decreases

Explanation:

Mass is just a measurement of how much matter something contains. Weight is proportional to the gravitational pull the object is undergoing.

As the distance between an object and the center of the Earth is increased, the object's mass remains the same and its weight decreases.

What is mass?

It is the most fundamental characteristic of matter and one of the fundamental quantities in physics. Mass is a term used to describe how much matter is there in a body. The kilograms is the SI unit of mass (kg).

A body's mass remains constant at all times. only in exceptional cases where a significant amount of energy is supplied to or taken away from a body. A nuclear reaction, for instance, results in the mass of the substance being reduced as a very small amount of matter is transformed into a very large amount of energy.

What is weight?

It gauges how much gravity is pulling on a body.

The weight formula is provided by: w = mg

Weight being a force The SI unit of weight is the Newton, which is also the same as the SI unit of force (N). When we look at how weight is expressed, we can see that it depends on both mass and the acceleration caused by gravity; while the mass may not change from one location to another, the acceleration caused by gravity does.

As  the distance between an object and the center of the Earth is increased, acceleration due to gravity decreases. So the object's mass remains the same but its weight decreases.

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The resultant of 3 forces in equilibrium is equal to the vector sum of any 2 of the forces.
True or False?

Answers

Answer:

False

Explanation:

When 3 (non zero) forces are in equilibrium, the resultant (net) force is 0. The sum of any two components will therefore be non-zero and consequently not equal to the original resultant.

The center on a high school basketball team wants to increase the maximum height of his jump. What statement correctly describes how he could achieve this goal?
A) Wearing lighter shoes would increase the height of his jump.
B) Jumping at a 45° angle would increase the height of his jump.
C) Jumping with greater acceleration would increase the height of his jump.
D) Jumping with greater initial velocity would increase the height of his jump.

Answers

Answer:

D) Jumping with greater initial velocity would increase the height of his jump.

Explanation:

As the center of the team jumps, his motion is an accelerated motion with initial velocity [tex]v_0[/tex] upward and constant acceleration [tex]g=9.8 m/s^2[/tex] (acceleration due to gravity) towards the ground.

According to the law of conservation of energy, the gravitational potential energy of the center as it reaches its maximum height (h) is equal to the initial kinetic energy just after he starts the jump:

[tex]U=K\\mgh=\frac{1}{2}mv_0^2[/tex]

where

m is the mass of the center

g is the acceleration due to gravity

h is the maximum height

v0 is the initial velocity

Re-arranging the formula, we find:

[tex]h=\frac{v_0^2}{2g}[/tex]

Therefore, we see that the greater the initial velocity v0, the higher the center will jump.

Other Questions
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