Two ice skaters approach each other at right angles. Skater A has a mass of 27.4 kg and travels in the x direction at 1.23 m/s. Skater B has a mass of 49.4 kg and is moving in the y direction at 0.759 m/s. They collide and cling together. Find the final speed of the couple. Answer in units of m/s.

Answers

Answer 1

Answer:

The final speed will be "0.65 m/s".

Explanation:

The given values are:

[tex]m_a[/tex] = 27.4 kg

[tex]m_b[/tex] = 49.4 kg

[tex]v_a[/tex] = 1.23 m/s

[tex]v_b[/tex] = 0.759 m/s

By using the law of conservation of momentum, we get

⇒ [tex]P=\sqrt{P_1^2+P_2^2}[/tex]

⇒     [tex]= \sqrt{(m_av_a)^2+(m_bv_b)^2}[/tex]

On substituting the values, we get

⇒     [tex]=\sqrt{(27.4\times 1.23)^2+(49.4\times 0.759)^2}[/tex]

⇒     [tex]=\sqrt{1135.82+1405.84}[/tex]

⇒     [tex]=50.41 \ kg-m/s[/tex]

As we know,

⇒ [tex]P=(m_1+m_2)v[/tex]

Then,

⇒ [tex]v=\frac{P}{m_1+m_2}[/tex]

On substituting the values, we get

⇒    [tex]=\frac{50.41}{27.4+49.4}[/tex]

⇒    [tex]=\frac{50.41}{76.8}[/tex]

⇒    [tex]=0.65 \ m/s[/tex]


Related Questions

A car drives 84 meters forward. It's displacement and distance would be the same.

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What’s the question?
The question? If you need help

Momentum is the ability to do work. true or false

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Answer:

true

Explanation:

What happens after the president gives the budget to Congress?

Answers

Answer: The president submits a budget to Congress by the first Monday in February every year. The budget contains estimates of federal government income and spending for the upcoming fiscal year and also recommends funding levels for the federal government.

Explanation:

Answer: The president submits a budget to Congress by the first Monday in February every year. The budget contains estimates of federal government income and spending for the upcoming fiscal year and also recommends funding levels for the federal government.

Your welcome!! :)

What is the device used to measure a potential difference in a circult called?

Answers

Answer:

Voltmeter

Explanation:

A voltmeter measures the difference or as you say potential difference of a circuit.

Answer:

The device is called a voltmeter

When dry ice appears to be smoking what is actually happening

Answers

Answer:

The “smoke” coming from dry ice is actually carbon dioxide gas, which is turning from a solid into a gas.

Explanation:

Which of the following statements about social connections today is most accurate?

Multiple Choice

1 People today are less socially connected than in past generations.

2. There is good cause for concern that technology will create social isolation.

3. The structure of friendship-how we connect and with whom-is changing

4. The nature of friendship is the same as in the past, but technology creates more social disconnection​

Answers

Answer:

is point 2

Explanation:

There is a good cause for concern that technology will create social isolation

Joe is carrying a load of building supplies and likely injuring his back by supporting 882 in of weight. Calculate the mass of what he is carrying

Answers

Answer:

Answer is c because in exothermic reactions, energy releases.in cellular respiration,atp+h20 (water) = adp+ pi + energyso celullar respiration is exothermic and releases energy

Explanation:

Answer is c because in exothermic reactions, energy releases.in cellular respiration,atp+h20 (water) = adp+ pi + energyso celullar respiration is exothermic and releases energy

a 27 kg is accelerated at a rate of 1.7m/s/s . what force does the object experience

Answers

The answer should be (C)46n

a u-shaped valley is most often formed by

Answers

Answer:

formed by the process of glaciation.

Explanation:

A bowl of ice cream is sitting on a table.
Which is NOT conduction?
A. The sunlight streaming through the window melts the
ice cream.
B. The bowl is cold because of the ice cream.
C. The table is cold because of the cold bowl.

Answers

Answer: The bowl is cold because of the ice cream

Explanation:

recall that a centripetal force is not a new type of force: it's a role that is taken by one of the four types of force that we already use. if we see an object moving in a curved path, we know that at least one of those forces is pointing inward, acting centripetally. describe at least one real-life example of an object moving in a curved path where its centripetal force is provided at least partially by each of the following types of forces: gravity, normal force, tension,

Answers

Answer:

Answer in explanation.

Explanation:

GRAVITY AS CENTRIPETAL FORCE:

When a satellite orbits around a planet, it is in a circular motion. In this scenario, the centripetal force is provided by the gravity force.

NORMAL FORCE AS CENTRIPETAL FORCE:

When a spacecraft is sent into space, it rotates about its own axis to create artificial gravity. During this rotating motion, the centripetal force is provided by the normal reaction (force) of the walls of the satellite.

TENSION AS CENTRIPETAL FORCE:

When a mass attached to a rope is swirled in a circular motion, the tension in rope acts as the centripetal force.  

What is the kinetic energy of a 6 kg and 2 m long thin rod that rotates with angular velocity of 10 rad/s
about an axis that passes at its edge?
A. 2400 J
B. 1200 J
C. 200 J
D. 800J​

Answers

Answer:

1200 J

Explanation:

From the question

K.E = 1/2mv²...................... Equation 1

Where K.E = Kinetic Energy, m = mass of the rod, v = velocity of the rod

But

V = ωr..................... Equation 2

Where   ω = angular velocity of the rod, r = radius of the rod.

Substitute equation 2 into equation 1

K.E = 1/2m(ωr)²..................... Equation 3

Given: m = 60 kg,  ω = 10 rad/s, r = 2 m

Substitute these values into equation  3

K.E = 1/2(6)(10×2)²

K.E = 3×(20)²

K.E = 3×400

K.E = 1200 J

Baggage on the floor of the baggage car of a high-speed train is not prevented from moving other than by friction. The train is travelling down a 5 percent grade when it decreases its speed at a constant rate from 144 mi/h to 66 mi/h in a time interval of 12 s. Determine the smallest allowable value of the coefficient of static friction between a trunk and the floor of the baggage car if the trunk is not to slide.

Answers

Answer:

 μ = 0.36

Explanation:

This exercise must be solved in parts

Let's start by finding the acceleration of the train, using the kinematics relations

         v = v₀ - a t

         a = [tex]\frac{v - v_o}{t}[/tex]

let's reduce the magnitudes to the SI system

         v = 66 mi / h (5280 ft / 1mile) (1h / 3600s) = 96.8 ft / s

         v₀ = 144 mi / h = 211.2 ft / s

let's calculate

          a = [tex]\frac{96.8 - 211.2}{12}[/tex]

          a = - 9.53 ft / s²

Now we can use Newton's second law, for this let's set a reference system with the x axis parallel to the slope of the hill

let's break down the weight

            sin 5 = Wₓ / W

            cos 5 = W_y / W

            Wₓ = W sin 5

            W_y = W cos 5

Y axis

     N- W_y = 0

     N = W cos 5

   

X axis

      Wₓ -fr = m a

       mg sin 5 - fr = ma

the friction force has the expression

       fr = μ N

       fr = μ W cos 5

we substitute

        mg sin 5 - μ mg cos 5 = ma

        g sin 5 - μ g cos 5 = a

        μ = [tex]\frac{g \ sin 5 -a }{g \ cos 5}[/tex]

        μ =  [tex]tan 5 - \frac{a}{ g \ cos 5}[/tex]

let's calculate

       μ = tan 5 - (-9.53) / 32 cos 5

       μ = 0.08749 + 0.2733

       μ = 0.36

According to the law of reflection, the angle of incidence is equal to the angle of
refraction
reflection
deflection
absorption

Answers

Answer:

Reflection

the angle of incidence is equal to angle of reflection

According to the law of reflection, the angle of incidence is equal to the angle of reflection. Hence option B is correct.

What is Reflection ?

Reflection is the change of direction of the wave at the interface which separates two media. it get incident on the other media and get return to the same media is called as reflection. Common examples include the reflection of light, sound and water waves.

we can see that in the dark room when we incident light on the mirror, the direction of the light changes at the point of the incidence. in the scientific language we can say that light has reflected from the surface of the mirror. in this case  angle of incidence is always equal to angle of reflection.

Any mirror bounce back the incident light. therefore it is used to see our face. it reflects almost all the light to same medium from which light has been incident.

Hence option B is correct.

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Why is a knowledge of physics important when building a roller coaster?

Answers

Answer:

Roller coasters must follow the physics laws and principles in order for the rides to be safe.

Which statement best compares gamma rays to the other components of the electromagnetic spectrum?

Am I correct ???

Answers

Answer:

no

Explanation:

gamma rays do have the most frequency, but they also have the highest amount of energy because they happen the most often.

An ice cube in a glass of water is pushed to the bottom of the glass and held there with a straw. Consequently, the buoyant force on the ice cube is now a. the same as when the cube was floating at the top. b. exactly balanced by the weight of the ice cube. c. exactly balanced by the force exerted by the straw. d. greater than when the cube was floating at the top.

Answers

Answer:d

Explanation:

Given

Initially, the ice cube is floating over the water

When the cube is pressed to touch the bottom, it is submerged fully

Therefore more buoyant force is acting on it

At first, a part of the volume is submerged in the water, so the buoyant force is less, but as the entire cube is immersed in the water, the buoyant force increases.

Need help with questions 2–3 ASAP pls ease help

Answers

Answer:

A and D

Explanation:

❤❤ plz follow have a food day

How might a person acquire a fear of or aversion to something even though it has no negative effect on him or her? (5 sentences or more)

Answers

Answer:

It’s behavioral which is learned via classical conditioning it’s when the neutral or the conditioned stimulus becomes something that causes fear to all organisms

A person acquire a fear of or aversion to something even though it has no negative effect on him or her due to the classical conditioning.

What is negative effect?

Any thing which has bad effects or something wrong can happen with the doing. The effect is the negative effect.

We assume that we do not fear, a dog that triggers a fear response, such as being bitten.

If we are exposed to the object or such situation we fear over and over without having any negative outcome. The  classical conditioning can truly help unlearn the fear.

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Mrs. Archer spent her Saturday running a bunch of errands. She started out by
traveling 2 km east, then 5 km south, 12 km east, 2 km south then 40 km west, 60
km north. Calculate her displacement on the Y AXIS.

Answers

Answer:

Velocity = displacement/time whereas speed is distance/time. use the formula

Explanation:

A solid sphere of radius R, a solid cylinder of radius R, and a rod of length R all have the same mass, and all three are rotating with the same angular velocity The sphere is rotating around an axis through its center. The cylinder is rotating around its long axis, and the rod is rotating around an axis through its center but perpendicular to the rod. Which one has the greatest rotational kinetic energy? a. the sphere b. the cylinder c. the rod d. the rod and the cylinder have the same rotational kinetic energy e. they all have the same kinetic energy

Answers

Answer:

b. the cylinder

Explanation:

From the information given:

We understood that the mass of the sphere, cylinder, and rod length is the same with the same angular speed.

Taking their moments:

For the solid sphere; [tex]\text{The moment of inertia :}[/tex] [tex]I_s[/tex] = [tex]\dfrac{2}{5} \times m \times r^2[/tex]

The moment of inertia of the cylinder, [tex]I_c = 0.5\times m \times r^2[/tex]

The moment of inertia of rod, [tex]I_r =\dfrac{ m * r^2 }{12}[/tex]

The rotational kinetic energy is directly corresponding to the moment of inertia.

Thus, the cylinder has the greatest rotational kinetic energy.

Imagine you are a crime scene investigator. You are called to investigate a crime scene in a wooded area where a missing person’s body is discovered. When you arrive at the scene, you find that the body is located near a rocky area where the footing in unstable. You also notice that the victim has a large head wound. A particular medium size rock near the body has dried blood on it. Also, a water bottle lies ten feet away from the victim. Write a paragraph about how you would carry out the search for evidence. What evidence would you collect from the crime scene?

Answers

Answer:

First I would look for fingerprints on the rock and the water bottle than I would look for footprints and DNA (blood) from the murderer.

Thats aall I could think of ;-;

Answer:

Explanation:

Since the crime scene is located in a wooded area, I would request several more investigators to do a search of the area. These investigators have to spread out to do a line pattern search. While looking for evidence, I would first determine whether the body was moved. I would look for marks on the ground that would suggest that the body was dragged to where it was found. I would collect fingerprint evidence from the water bottle to determine if it was the victim’s or if another person was with the victim. I would also take samples from the clothing to determine if there is any trace evidence, such as hair, foreign fibers, or skin cells. I would collect several rocks from the area, including one with blood on it, as evidence. They would help me determine if the blood-covered rock had been moved, or if it had been used as a weapon.

Find the projection of vector vector A=2i-8j+k in the direction of vector B=3i-4j-12k

Answers

Use the dot product.
(a•b)=(2x3)+(-8x-4)+(1x-12)
=26

can someone help me with science:

The cells within a multicellular organism are of a uniform shape.

True
or False

Answers

Answer:

trur

Explanation:

gvidttcyhjddgdhjfjdjsjs

(9) Draw a ray diagram for a 5.0-cm tall object placed 45.0 cm from a converging lens having a focal length of 15.0 cm 21 Reduced​

Answers

Answer is

53.3cm I think

53.3cm will be the focal length of converging lens.

What is Converging lens?

The light beams in this instance diverge after passing through the lens. A virtual image is created when diverging refracted rays collide.

All light rays can be followed backwards until they intersect to determine the image's location. The extended refracted beams' point of intersection, which appears to all observers to be the refracted rays' point of divergence, is the image point.

1/(-15) = 1/v + 1/(-45)

→ -1/15 = 1/v - 1/45

→ -1/15 + 1/45 = 1/v

→ (-3 + 1)/45 = 1/v

→ -2/45 = 1/v

→ -45/2 = v

→ 53.3 cm = v

Therefore, 53.3cm will be the focal length of converging lens.

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...........................

Answers

Answer: kooi kooi

how r u and thanks for the free points :)

Answer:............
lol thanks for the free points as well

Suppose a mad scientist went back in time to the beginning of the solar system and caused the newly formed Mars and Venus to switch places. So now there is a Venus-sized planet where Mars was (let's call it Venus 2), and a Mars-sized planet where Venus was (let's call it Mars 2). How would these hypothetical new planets, Mars 2 and Venus 2, turn out in this alternate time line

Answers

Answer:

Mars2   illuminated side of the planet is very  heat, dark side very cool

Venus 2 a warm planet with a constant temperature across the entire surface

Explanation:

For this hypothetical case, when changing the planets they are changed with their current characteristics.

Case of Mars2

In this case, there is a planet with a very thin atmosphere, so the solar radiation reaches the ground without damping it, causing a lot of noise, so the illuminated side of the planet is very heat and when the dark side turns due to the little atmosphere it loses everything the heat for which it is very cold.

This thermal stress between the two sides of the planet continues constantly creating possible fruit trees in its rocky systems.

Case of Venus 2

The planet has a high atmospheric density, but it is very far from the sun, so the amount of radiation that arrives slightly warms the planet, but due to the thin atmosphere the losses for the dark period are very small, so the entire planet it is heated until it reaches an almost uniform temperature over its entire surface.

In this case we have a warm planet with a constant temperature across the entire surface, regardless of which side is lit.

How much heat does it take to raise a
cup of water (2.34 x 10-4 m3) from
15.0 °C to 75.0 °C?

Answers

Answer:58600

Explanation:

Trust me it’s correct.

if stretching a spring constant of

Answers

Answer:

5.71 N/m

Explanation:

From the question given above, the following data were obtained:

Extention (e) = 3.5 m

Force (F) = 20 N

Spring constant (K) =?

From Hooke's law,

F = Ke

Where :

F => is the force applied

e => is the extention caused by the force

K => is the spring constant

With the above formula, we can obtain the spring constant of the spring as follow:

Extention (e) = 3.5 m

Force (F) = 20 N

Spring constant (K) =?

F = Ke

20 = K × 3.5

Divide both side by 3.5

K = 20 / 3.5

K = 5.71 N/m

Thus, the spring constant of the spring is 5.71 N/m

Earth’s surface is broken into large pieces that are slowly shifting. This gradual process, known as plate tectonics, accounts for movement of entire continents over time. During the past century, geologists have found multiple lines of evidence that support the theory of plate tectonics, including the mechanism that drives the plates’ motion—sea floor spreading. As a result, sections of Earth’s crust are constantly being pulled apart or pushed together. This movement creates many of Earth’s landforms, such as mountains, rift valleys, and volcanoes.

According to the theory of plate tectonics, 250 million years ago all of Earth’s landmasses were clustered into one supercontinent, known as Pangea. Based on the past and current movements of Earth’s plates, predict how the location of the continents might shift during the next 250 million years. Do you think they’ll spread out, cluster together, or move in a combination of the two? What types of landforms do you anticipate forming as a result? What effect, if any, do you anticipate this movement will have on life on Earth?

Answers

Answer:

Earth's surface is broken into large pieces that are slowly shifting. ... This movement creates many of Earth's landforms, such as mountains, rift valleys, and volcanoes. According to the theory of plate tectonics, 250 million years ago all of Earth's landmasses were clustered into one supercontinent, known as Pangea.

or

Presently the plates are moving towards each other and will eventually merge into one landmass once again. Presently Africa I moving towards Europe and Asia and will merge with that landmass, closing the Mediterranean Sea. When plates move towards each other extensive fold mountain ranges will form; a modern day example is the Himalayan mountain range. This type of movement will impact ocean currents as we know it and bring about a dramatic change in the climate. Disruption of currents and the closure of some water ways and oceans will lead to the extinction of some species. Leaving only those who are able to adapt to the new climatic conditions.

Explanation:

you can choose either one

Answer:

Based on what I have learned this year and past knowledge, I think they will move in a combination of two. The tectonic plates move around the planet but move very slowly, only a few centimeters per year, which plays a big part in the picture. If you look at California, It's splitting! But who is to say that the continents will not cluster to another land as it spreads out. There's also not enough space on earth for every piece of land. But when they do end up clustered together, mountains will be formed, and if they spread out, faults will be created. So I think in 250 million years we will have another supercontinent like Pangea. I also believe that there will be many new geographical changes, including volcanoes, more mountains, and deeper oceans. This will also cause new Invasive species and the destruction of man-made buildings.

Explanation:

palto users

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