Two ice skaters, with masses of 40.0 kg and 65.0 kg , are at the center of a 50.0 m -diameter circular rink. The skaters push off against each other and glide to opposite edges of the rink. Part A If the heavier skater reaches the edge in 10.0 s , how long does the lighter skater take to reach the edge

Answers

Answer 1

Answer:

6.15 s

Explanation:

From the question,

Applying the law of conservation of momentum

Momentum of the Heavier skater = Momentum of the lighter skater.

Mv = mV................. Equation 1

Where M = mass of the heavier skater, m = mass of the lighter skater, v = Velocity of heavier skater, V = velocity of the lighter skater.

But,

v = r/t........................ Equation 2

V = r/t'................ Equation 3

Where r = radius of the circular rink, t = time taken for the heavier skater to reach the edge, t' = time taken for the lighter skater to reach the edge.

Substitute equation 2 and equation 3 into equation 1

M(r/t) = m(r/t')............. Equation 4

Given: M = 65 kg, m = 40 kg, r = 50/2 = 25 m, t = 10 s.

Substitute into equation 4 and solve for t'

65(25/10) = 40(25/t')

162.5 = 1000/t'

t' = 1000/162.5

t' = 6.15 seconds


Related Questions

The mass of an object is 100mg. What is the object's mass in kg? Show your work

Answers

Answer:

0.0001 kg

Explanation:

The weight in Kilograms is equal to the milligrams divided by 1,000,000.

100 ÷ 1,000,000

A 5.7 kg block slides along a horizontal surface toward a horizontally mounted spring with a spring constant of 150 N/m. At one instant, the block is 5.0 m from the end of the spring and has a speed of 12.0 m/s. If the surface is frictionless, what is the maximum compression of the spring

Answers

Hi there!

We can use the conservation of energy:

Ei = Ef

The initial energy involves kinetic energy while the final energy involves maximum elastic potential energy, so:

1/2mv² = 1/2kx²

We can cancel out the 1/2s for ease of solving:

mv² = kx²

Plug in given values to solve for x:

√(mv²/k) = x

√(5.7)(12²)/(150)) = x

x = 2.339 m

What is a common noun?

Answers

I HOPE IT WILL HELP YOU.

Thank you.

TEDDYLOVER

In two paragraph of lines each, describe how you
would simplify, for your
grade 10 learners the
following topics
1.1 Electricity and magnetism.

Answers

The question above wants to assess your ability to simplify complex matters. In that case, I can't answer this question for you, but I'll show you how to answer it.

First, you should research electricity and magnetism. This research will make you understand the subject and all its elements. You can do this research in textbooks and digital platforms aimed at children and teenagers since these media usually present subjects in a more simplified way.

After doing this research, you will be able to write a text about electricity and magnetism as follows:

Present the main focus of this subject.Present the elements that make up this subject.Present how this subject applies in the real world.Present the importance of this subject in human life and society.

Remember that you must use simple language, without the use of technical terms, but with common terms.

More information:

https://brainly.com/question/14870576?referrer=searchResults

Why do you think some things float and some things sink?

Answers

because somethings carry meaning into life and other things are useless information that take up unnecessary space
some things are heavier and some things are lighter.

How mass and volume of matters are connected to density?
This is a physics question not maths

Answers

Answer:

An object's density is the ratio of mass to volume of an object. The mass is how much it resists acceleration when a force is applied to it and generally means how much of an object or substance there is. Volume describes how much space an object takes up.

How much protein would be consumed with a 3-ounce serving of
this food?
A. 0g
B. 5g
C. 10g
D.15g
Please Help me

Answers

Answer:

15kg

(i actually did this)

Explanation:

k12

hope this helped!

i hope you ace it!

Answer: B) 5g

I took the 4.11 Unit Test: Nutrition quiz.

HELP PLEASE!

A book sits motionless on a table. Which statement is true?

The downward force is greater than the upward force on the book.
There are no forces acting on the book.
The upward force is greater than the downward force on the book.
The forces acting on the book are balanced by each other.

Answers

Answer:

I think the second one! So sorry if it's wrong!

Explanation:

Because if it's sitting motionless, then nothing is happening to it.

A book sits motionless on a table so the forces acting on the book are balanced by each other.

What is force?

A force is an effect that can alter an object's motion according to physics. An object with mass can change its velocity, or accelerate, as a result of a force. An obvious way to describe force is as a push or a pull. A force is a vector quantity since it has both magnitude and direction.

A book sits motionless on a table that means forces acting on the book are balanced by each other. As book have mass so gravitational force acting in downward but opposite to that normal force because of friction is acting that stops book to be in motion.

A book sits motionless on a table so the forces acting on the book are balanced by each other.

To learn more about force refer to the link:

brainly.com/question/13191643

#SPJ2

bro someone please help me, i need to turn this in by tomorrow first class of the day. if you can answer this page for me, please answer with a short sentence or paragraph if needed. thank you and please help me.

Answers

Answer: Sorry you I don't umderstand

Explanation:

Michael stands upright and allows his right arm to swing back and forth, naturally and without forcing, like a pendulum. He measures the time for 21 oscillations (complete cycles) to be 28.1 s. Assume his arm (length L) behaves as a simple pendulum, with an effective length of 2/3 L. Find the length of his arm, L.

Answers

Answer:

ytdgnrjjksmzjj3hfgbdhehkj jfjbcjbwbjrhrhb jdhbbjhhrhrhhjrjjr jfjnekrj

The length of his arm, L = 0.67 m.

What is time period?

A basic pendulum consists of a point mass hung by a tightly supported, weightless, and inextensible string.

T = 2π√ L/g, where L is the pendulum's length and g is the acceleration brought on by gravity, is the formula for a pendulum's period.

Given in the question  the time for 21 oscillations (complete cycles) to be 28.1 s. Assume his arm (length L) behaves as a simple pendulum, with an effective length of 2/3 L.

T = 2π√ L/g

T = 2π√2l/3g

T = 28.1/21

T = 1.33

2π√2l/3g =  1.33

l = .67 m

The length of his arm, L = 0.67 m.

To learn more about time refer to the link:

brainly.com/question/13764813

 #SPJ5

The ability to catch on fire or burn.
(a). flammability (B)alkali metals (c)corrosion

Answers

Answer:

a. flammability

Explanation:

it is in the name "flame"

Answer:

The ability to catch on fire or burn is (a). flammability

Explanation:Flammability is the ease with which a combustible substance can be ignited, causing fire or combustion or even an explosion.

In the free-body diagram, what is the net force? (Hint-Trig.- SOH-CAH-TOA)

a. 35 N right

b. 28 N right

c. 75 N

Answers

I would say about 35 n right

What is the smallest part of a compound called?
element
O
molecule
O
atom
O
mixture
o

Answers

Answer:

Here is your answer,thanks for using brainly!

Explanation:

B:Molecule

Molecules usually consist of 2 atoms linked together,however some molecules  consist of thousands of atoms!

Here is a list of smalles to largest with the answers provided

Molecules

Atoms

Elements

Mixtures

Hope this helped

Plz mark brainliest

Dont forget to smash that heart at the bottom <3

Have a great day!

what is the best name for binary compound of nitrogen and oxygen

A . Nitrogen oxide
B. Nitrogen oxnie
C.oxide nitrogen
D.Nitride oxygen ​

Answers

A) nitrogen oxide, I did this last year in chemistry so I think this is the answer.

Electrons are ____________ charged particles. Answer here

Answers

Answer:

negatively charged

Explanation:

Answer: electrons are negative charged

Explanation:


A bucket crane consists of a uniform boom of mass
M = 201 kg and length L= 59.05 ft that pivots at a point on
the bed of a fixed truck. The truck supports an elevated bucket
with a worker inside at the other end of the boom, as shown in
the figure. The bucket and the worker together can be modeled
as a point mass of weight 201 lb located at the end point of
the boom.
Suppose that when the boom makes an angle of 68.7° with the
horizontal truck bed, the bucket crane suddenly loses power,
causing the bucket and boom to rotate freely toward the
ground. Find the magnitude of the angular acceleration la of
the system just after the crane loses power. Take the rotation
axis to be at the point where the boom pivots on the truck bed.
Use g = 9.81 m/s2 for the acceleration due to gravity. For unit
conversions, assume that 1 m = 3.28 ft and 1 lb = 4.45 N.
Express your answer to at least two decimal places.

Answers

Newton's second law for rotational motion allows finding the results for the angular acceleration of the system at the moment of losing power is:

              α =0.616 rad / s²

Newton's second law for rotational motion relates the torque to the moment of inertia and the angular acceleration, in the special case where the angular acceleration is zero, it is called the rotational equilibrium condition.

           [tex]\sum \tau = I \alpha[/tex]

           [tex]\tau = F \ r \ sin \theta[/tex]

where τ is the torque, F is the force, r the distance to the pivot point and θ the angle between the force, the distance, I is the moment of inertia and α is the angular acceleration.

In this case they indicate the values ​​in several different units, let's reduce to the international system of measurements (SI).

Beam mass M = 201 kg Beam length L= 59.05 ft (1m / 3.28 ft) = 18.0 m Worker and basket weight Wh = 201 lb (1N / 0.2248 lb) = 894.1 N Beam angle tea = 68.7º

We place our reference system at the base of the beam on the truck and counterclockwise turns as positive, and in the attached we see a free-body diagram of the system.

   

          [tex]W_m \ L \ sin 68.7 + Mg \ \frac{L}{2} \ sin 68.7 = I \alpha[/tex]

The moment of inertia is an additive scalar quantity, the total moment of inertia is the moment of inertia of the pen plus the moment of inertia of the man.

Moment of inertia of the beam with respect to one end.

           [tex]I_[/tex] = ⅓ ML²

moment of inertia of man

           [tex]I_m = M_m L^2[/tex]

Let's substitute

           [tex](W_m + \frac{Mg}{2} ) \ L \ sin 68.7 = (\frac{1}{3} M + m_m ) L^2 \alpha \\\alpha = \frac{(W_m + \frac{Mg}{2} ) sin 68.7 }{ (\frac{1}{3} M + m_m ) L }[/tex]

Let's calculate        

The mass of man is

           m = [tex]\frac{W_m}{g}[/tex]

           m = 894.1 / 9.8

           m = 91.2 kg

          [tex]\alpha = \frac{(894.1 +2.1 \ 9.8 ) \ sin 68.7 }{ 18.0 ( \frac{201}{3} + 91 }[/tex]

          α = 0.616 rad / s²

In conclusion using Newton's second law for rotational motion we can find the results for the angular acceleration of the system at the moment of losing power is 0.616 rad / s²

Learn more here: brainly.com/question/16428109

If an object is falling towards the ground with a force of 98 N and accelerates at a rate of 9.8 m/s², what is the mass of the object (mass will be in the unit of kilograms)?​

Answers

Answer:

960.4

Explanation:

98x9.8=960.4

a car is traveling with a momentum of 15,000 kgm/s. It strikes a garbage can on the curb. If the garbage can is launched off of the bumper with a momentum of 5,000 kgm/s, how much momentum does the car still have?

Answers

Answer:  

c  

Explanation:  

it was a crash they both lost momentum

I need help, Will mark branliest!

Answers

I believe you are correct with C.

An example of a neologism from the Internet is:
A. jam (meaning "to play music").
B. peeps (meaning "people" or "the friends you hang out with").
C. bromance (meaning "a close male friendship").
D. defriend (meaning "to remove someone from a friends list").

Answers

Answer: peeps

Explanation: meaning “people” or “the friends you hang out with”

Answer: Defriend (meaning "to remove someone from a friends list").

Explanation: Just in case someone comes by again like I did..

A golf ball is hit with an initial velocity of 20m/s at an angle of 30° to the horizontal. calculate;

the time of flight​

Answers

Answer:

tcucugxojfjgfojcigxuogoudyifodtufukdutfuocyjxuogu

You're out for run. Your initial velocity is 1.5 m/s. Suddenly a crazy dog starts chasing you and you accelerate to a velocity of 3 m/s. It takes you 10 seconds to find a safe place to hide from the Chihuahua. What was your displacement?

Show your work for displacement.

Include units.

Answers

The displacement of your motion during the entire motion is 22.5 m

The given parameters;

your initial velocity, u = 1.5 m/syour final velocity , v = 3 m/stime of motion, t = 10 s

The displacement of your motion during the entire motion is calculated from your average velocity and time of motion.

This magnitude of this displacement is calculated  as follows;

[tex]s = (\frac{u+ v}{2} )t\\\\s = (\frac{1.5 + 3}{2} ) \times 10\\\\s = 22.5 \ m[/tex]

Thus, the displacement of your motion during the entire motion is 22.5 m.

Learn more here: https://brainly.com/question/17345815

A projectile is launched
horizontally from a cliff
top at 16 m/s.
Determine the values
of the velocity
components at 1-
second intervals of
time.

Answers

The vertical component of the velocity after the given time is -9.8 m/s while the horizontal component of the velocity is 16 m/s.

The given parameters;

initial horizontal velocity, vₓ = 16 m/sinitial vertical velocity, [tex]v_y =0[/tex]time interval 1 seconds

The components of the velocity can be horizontal or vertical velocity.

The vertical component of the velocity is affected by acceleration due to gravity while the horizontal component of the velocity is not affected by gravity.

The vertical component of the velocity is calculated as;

[tex]v_y = v_0_y -gt\\\\v_y = 0 - (1\times 9.8)\\\\v_y = -9.8 \ m/s[/tex]

The horizontal component of the velocity is constant since it is not affected by gravity.

The horizontal component of the velocity = 16 m/s

Thus, the vertical component of the velocity after the given time is -9.8 m/s while the horizontal component of the velocity is 16 m/s.

Learn more here:https://brainly.com/question/20349275

Which statement best explains how a planet affects the orbit of a comet as the comet passes by the planet?

Answers

Comets orbit the sun just like planets do. Except a comet usually has a very elongated orbit. Thanks to the laws of gravity comets obey the same laws. A comets orbit takes it very close to the sun and then far away again.


If your hammer develops a loose head, you can tighten it by banging
it on the ground. A little physics secret though - it's better to bang
the hammer head up rather than head down. Explain, using inertia.

Answers

weight  from the hammer head makes the inertia better making it better with the head up it. the body has less weight the inertia force isn't as good. (or something like that.)

What is three famous people you know

Answers

Answer:

Martin Luther King Jr., Mark Zuckerburg, Jeff Bezos

Explanation:

First 3 people to come to my head.

Kim Kardiashin West Kanye West Stormy

Say hi :P...................................................................

Answers

HELLOOOOOOOOOOOOOOOOOOOOO

(03.02 LC)
Which of the following is a complementary base pair for DNA?
O Adenine and cytosine
O Guanine and cytosine
O Adenine and guanine
O Cytosine and thymine

Answers

Answer:

O Adenine and guanine

Explanation:

i think tell me if im rong

Guanine and cytosine are complementary base pairs for DNA, hence option B is correct.

What is the complementary base pairing in DNA?

Adenine and thymine are joined by two hydrogen bonds, whereas guanine and cytosine are joined by three hydrogen bonds.

Base pair of DNA. The nitrogen-containing bases adenine (A), thymine (T), and cytosine (C), as well as guanine (G), the couple together under normal conditions. The structure of DNA is created by the binding of these base pairs.

In order to construct the helical structure of DNA, complementary base pairing is crucial because it enables the base pairs to be placed in the most energetically advantageous manner.

Therefore, due to the fact that it permits semiconservative replication, it is also crucial in replication.

Learn more about DNA, here:

https://brainly.com/question/22761986

#SPJ2

Taking care of yourself can sometimes be hard work and can even lead to feelings of

Answers

Answer:

deception

Explanation:

Why does the sun have less gravitational pull on planet far away like Pluto?

Answers

Answer:

Because the planet is far away from the sun

Explanation:

The closer the planet is to the Sun, the greater the pull of the Sun's gravity, and the faster the planet orbits.

While, over here the Pluto is very far away from the Sun so it will have very little gravitational  pull and still keeps revolving around the Sun

Pls Mark Brainliest
Other Questions
A teapot was rolling in the silver polish like a pig in a puddle. Is this a simile or personification? what is the formula for chlorine monobromide Barium + Aluminum nitrate > makes what ? In addition to professional organizations that serve the beauty industry as a whole, there are also specialty organizations that serve niche groups within the beauty industry. What is an example of one of these groups?A. brunette salon professionalsB. lazy salon professionalsC. highly-educated salon professionalsD. Latino salon professionalssubject is Comsetology Lee el prrafo y escoge la repuesta correcta. Read the sentence and choose the correct response.En el invierno Lucy y Rosa tienen que andar a la escuela. Sus padres estn preocupados porque hace mucho fro y no quieren que ellas tengan fro. Sin embargo, a veces las hermanas no prestan atencin a lo que mandan y sus padres no les siguen pidiendo.Qu piensan los padres de sus hijas? (1 point) aSus padres dudan que ellas presten atencin y se vistan apropiadamente. bSus padres insisten que ellas no presten atencin y no se vistan apropiadamente. cSus padres temen que ellas presten atencin y se vistan apropiadamente. dSus padres niegan que ellas no presten atencin y no se vistan apropiadamente. Fill in the blank: The body uses minerals to perform many _______ A conical termite mound has a height of 1.4m and a base of radius 60cm if there are three termites per cubic centimeter, how many termites inhabit the mound? Please PLEASE HELP ASAPA student placed four objects on a plastic tray: a rock, an eraser, a wood block, and an ice cube. The student slowly lifts the tray and measures the height at which each object begins to slide in order to compare the friction of each object. The table above shows the results. In a separate experiment the student used the same objects and tray, but glued a piece of gritty sandpaper to the tray. What results would be expected? A) The items would slide faster at the same heights. B) The items would start to slide when the tray is not lifted as high. C) The items would not slide at all, no matter how high the tray is raised. D) The tray would need to be raised higher before the items start to slide. Please help me with this??? Please someone help Im confused A little girl throws her jackstone ball horizontally out of the window with a velocity of 30 m/s. if the window is 3 m above the level ground, how far will the ball travel before it hits the ground? -2 (x + 3) i need help... do your thing (7) hi I'm new can I get some help I really don't know what to do! Determine the value of y for y=x-6 Answer PLEASEE (brainlist) whn it is 8 am in western Australia, what time is it in south africa What equation is equivalent to 9^x - 3 = 729? I need help please Im desperate Flexible Budget for Assembly Department Steelcase Inc. (SCS) is one of the largest manufacturers of office furniture in the United States. In Grand Rapids, Michigan, it assembles filing cabinets in an Assembly Department. Assume the following information for the Assembly Department: Direct labor per filing cabinet 18 minutes Supervisor salaries $250,000 per month Depreciation $18,500 per month Direct labor rate $28 per hour Prepare a flexible budget for 70,000, 80,000, and 90,000 filing cabinets for the month ending February 28 in the Assembly Department, similar to Exhibit 5. ( x-4)(x-6) = how do you solve this problem