A train is travelling east along a straight run of track at 54.0 km/hr. Inside, two siblings 1.90 m apart are playing catch directly across the aisle. The kid wearing a Catherine Wheel T-shirt throws the ball horizontally north. The ball crosses the train and is caught 1.05 s later by her little brother. (Ignore any effects of gravity or friction.)
a) Find the magnitude of the ball's velocity from the little brother's point of view.
b) What is the magnitude of the velocity of the ball as seen by someone standing still outside the train?
c) What is the angle between the direction of the ball and the direction of the train as measured by someone standing still outside the train?

Answers

Answer 1

Answer:

A.) 1.81 m/s

B.) 16.07 m/s

C.) 6.88 degree.

Explanation:

Given that Inside, two siblings 1.90 m apart are playing catch directly across the aisle. The kid wearing a Catherine Wheel T-shirt throws the ball horizontally north. The ball crosses the train and is caught 1.05 s later by her little brother.

The velocity of the ball will be

Velocity = displacement/ time

Where displacement = 1.90 m

Time = 1.05 s

Velocity = 1.9 / 1.05

Velocity = 1.8095

Velocity = 1.81 m/s

A.) From the little brother point of view, the magnitude of ball's velocity will be 1.81 m/s

B.) The magnitude of the velocity of the ball as seen by someone standing still outside the train will be achieved by first converting km/h to m/s

(54 × 1000) / 3600 = 15 m/s

Then, use pythagorean theorem to find the velocity

V = sqrt ( 15^2 + 1.81^2)

V = sqrt ( 225 + 3.2761)

V = sqrt ( 258.2761)

V = 16.07 m/s

C.) The angle will be

Tan Ø = 1.81 / 15

Tan Ø = 0.1206666

Ø = tan^-1(0. 1206666)

Ø = 6.88 degree.


Related Questions

a ball rolling down a hill was displaced 21.9 m while using uniformly accelerating from rest, If the final velocity was 7.14 m/s, what was the rate of acceleration?

Answers

Answer:

a = 1.16 m/s²

Explanation:

In order to find the rate of acceleration of the ball, we will use third equation of motion, as follows:

2as = Vf² - Vi²

where,

a = rate of acceleration = ?

s = distance covered by the ball = 21.9 m

Vf = Final Velocity of the ball = 7.14 m/s

Vi = Initial Velocity of the ball = 0 m/s (Since, the ball started from rest)

Therefore,

2(a)(21.9 m) = (7.14 m/s)² - (0 m/s)²

a = (50.97 m²/s²)/(43.8 m)

a = 1.16 m/s²

Julie, a third-grade student, believes that the moon disappears on certain days every month. Explain why the following information is or is not scientific evidence which can be used to evaluate Julie’s hypothesis.

Answers

Julie believes the moon disappear on certain days every month because when there is a new moon, she can’t see the moon. As an teenager, we learn that we cannot see the moon because the side of the moon we see on earth is not getting any light from the sun at night. This would be your scientific explanation. Julie’s is not scientific, but just an observation that she made.

Hope this helps :)

electricity is one kind of​

Answers

Answer:

I think electricity is one kind of energy

A car traveling with an initial velocity of 10 m/s accelerates at a constant rate of 2.2 m/s^2 for 2 seconds. What distance does the car travel during this process

Answers

2.5 better than the first one more game to go hard but I 46 the bucks

Answer:

hsiahdjjsdhishshdakyeacs4y9yssig

Explanation:

ntesgs7thsjv6wlubx4euc

Saturn is 890,700,000 miles from the Sun. What is this distance in scientific notation? The ratio of miles to meters is 1 mile equals 1.61 x 103 meters. What is this distance in meters? If the speed of light is 3.0 x 108 meters/second, how long does it take for light from the Sun to reach Saturn? Hint: Use the distance in meters to calculate.

Answers

Answer:

13 hours, 16 minutes, 41 seconds

Explanation:

Distance of Saturn from the Sun

= 890,700,000 miles

[tex] = 8.907\times 10^8 \: miles\\

= 8.907\times 10^8 \times 1.61 \times 10^3 \:meters\\

= 14.34027\times 10^{11}\: m\\

= 1. 434027\times 10^{12}\: m\\\\

\because Time = \frac{Distance}{Speed} \\

\therefore Time = \frac{1.434027\times 10^{12}}{3\times 10^8}\\

\therefore Time = 4.78009 \times 10^{12-8}\\

\therefore Time = 4.78009 \times 10^{4} \:seconds \\

\therefore Time = 47800.9 \:seconds\\

\therefore Time = 47801 \:seconds\\

\therefore Time = 13h\: 16m\: 41s\\[/tex]

Saturn is 890,700,000 miles from the Sun. This distance in the scientific notation would be 1.434×10¹² metes.

If the speed of light is 3.0 x 108 meters/second, then it would take 4780 seconds for light from the Sun to reach Saturn.

What is Velocity?

The total displacement covered by any object per unit of time is known as velocity. It depends on the magnitude as well as the direction of the moving object. The unit of velocity is meter/second. It can also be represented by the infinitesimal rate of change of displacement with respect to time. The generally considered unit for velocity is a meter per second.

As given in the problem Saturn is 890,700,000 miles from the Sun

1 mile = 1.61 x 10³ meters

890,700,000 miles = 890,700,000×1.61×10³ meters

                                =1.434×10¹² metes

As given  If the speed of light is 3.0 x 10⁸ meters/second

Time = distance /speed

        = 1.434×10¹² metes / 3.0 x 10⁸ meters/second

        = 4780 seconds

Thus, the distance in the scientific notation would be 1.434×10¹² metes and it would take 4780 seconds for light from the Sun to reach Saturn.

Learn more about Velocity from here,

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Which of the following quantities represent mass?
a. 12.0 lbs.
b. 0.34 g.
c. 120 kg.
d. 1600 kN.
e. 0.34 m.
f. 411 cm.
g. 899 MN.

Answers

Answer:

Explanation:

a ) 12.0 lbs  -  mass

b ) .34 g   - mass

c ) 120 kg    - mass  

As lbs , g and kg are units of mass , these things represent mass . lbs is FPS unit of mass and kg is  SI unit . g is CGS unit of force .

d ) 1600 kN     It represents force because kN or kilonewton is unit of  force .

e ) it represents , length or distance because m or metre  is unit of length .

f ) 411 cm It represents length or distance because cm is smaller unit of length

g ) 899 MN or million newton .  Like d ) It also represents force . Million newton is higher unit of force .

if 1 foot is 30.28 centimeters.how many cm is 130 feet

Answers

Answer:3,936.4

Explanation:

If 1 foot is 30.28 centimeters multiply 30.28 by 130

What is applied force?

Answers

Answer:

An applied force is a force that is applied to an object by a person or another object. If a person is pushing a desk across the room, then there is an applied force acting upon the object.

Explanation:

What is the key difference between acentralized electrical distribution grid versus a distributed electrical distribution grid? I am using the textbook provided but I can not find an answer

Answers

The electricity generated by centralized generation is distributed through the electric power grid to multiple end-users. Centralized generation facilities include fossil-fuel-fired power plants, nuclear power plants, hydroelectric dams, wind farms, and more.

A web page designer creates an animation in which a dot on a computer screen has a position of r⃗ =[ 4.50 cm +( 2.90 cm/s2 )t2]i^+( 4.70 cm/s )tj^ . Part A Find the average velocity of the dot between t=0 and t=2.0s. Give your answer as a pair of components separated by a comma. For example, if you think the x component is 3 and the y component is 4, then you should enter 3,4.

Answers

Answer:

V = (5.8cm/s)i, (4.7cm/s)j

Explanation:

Given :

r⃗ =[ 4.50 cm +( 2.90 cm/s2 )t2]i^+( 4.70 cm/s )tj^

To obtain the average velocity (V)

V = (r2 - r1) / (t2 - t1)

To obtain r1 and r2, substitute t1 = 0 and t2 = 2 respectively in the equation above

r1 = [ 4.50 cm +( 2.90 cm/s2 ) 0]i^+( 4.70 cm/s )0 j

r1 = 4.50 cm + 0 + 0 = (4.50cm)i + 0j

r2 = [ 4.50 cm +( 2.90 cm/s2 )2²]i^+( 4.70 cm/s )2 j

r2 = 4.50cm + (2.90 × 4)i + (4.70 × 2)j

r2 = (16.1cm)i + (9.4cm)j

V = [(16.1 - 4.50)i - (9.4 - 0)j] / 2 - 0

V = 11.6i / 2 ; 9.4j / 2

V = (5.8cm/s)i, (4.7cm/s)j

position (m)
80!
В
с
60
40
20
A
- 20
-40
10
20
30
40
50
time (sec)

Answers

Answer:

hola bb como estas dime bb en que te ayudo

Explanation:

Calculate the magnitude and direction of the electric field (in N/C) 2.2 m from a long wire that is charged uniformly at λ = 3.6 ✕ 10−6 C/m. (Assume the wire goes through the origin and the point in question is located on the +z-axis. Express your answer in vector form.).

Answers

Answer:

29.5*10^3 k N/C

Explanation:

Using

E = λ/2πEor x k

So = 18*10^9 x 3.6 ✕ 10−6 / 2.2 x k

= 29.5*10^3 k N/C

_____ electrons are the most important electrons to an atom .

Answers

Answer:

stable is the answer

Explanation:

stable electrons

During which step of the scientific method does a scientist make an educated
guess about the outcome of an experiment?
A. Collect data
B. Form a hypothesis
C. Analyze the results
O D. Design an experiment
SUBNA

Answers

B.

A hypothesis is basically an educated guess, all in all. How you form a hypothesis is like this: “If (the independent variable; What you’re changing) ____, then (dependent variable; what is being measured)...___”

A hypothesis can be wrong. Your prediction may not always be right. But you first make a hypothesis of what you think will happen in the experiment. Then you try it out.

The scientific method (typically lasting of 6 steps) is
1. Ask a question
2. Research and gather info
3. Form a hypothesis
4. Test out the hypothesis/make an experiment
4. Analyze the data you collected
6. Draw conclusions

Answer:B. Form a hypothesis

What is a main difference between a mixture and a pure substance?
O A mixture is only a liquid, but a pure substance can be in any state.
A mixture looks the same throughout, but a pure substance does not.
A mixture can vary in composition, but a pure substance has a set composition.
A mixture can be made up of a single compound, but a pure substance cannot.
оо

Answers

Answer:

C- A mixture can vary in composition, but a pure substance has a set composition

Explanation:

The main difference between a mixture and a pure substance is: A mixture can vary in composition, but a pure substance has a set composition ( option c )

Mixture

A mixture is a substance which contains two or more constituents which can easily be separated by a physical means. It consists of two or more different substances, not chemically joined together.

Substance

A pure substance consists only of one element or one compound.

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The observation of a "wet spot" on a hot highway in the summer is caused by:_________.
a. dispersion
b. diffraction
c. refraction
d. reflection.

Answers

Answer: Refraction

Explanation:

The observation of a wet spot on a hot highway in the summer season is caused by refraction. Therefore, option (C) is correct.

What is refraction?

Refraction can be defined as the redirection of light as it passes from one medium to another medium. The redirection of light is caused by a change in the medium or by the wave's change in speed.

Refraction of light can be described as an observed phenomenon, but other waves such as sound waves and water waves also experience refraction.

Refraction of light obeys Snell's law that the ratio of the sines of the angle of incidence and refraction must be equal to the ratio of phase velocities in the two media to the refractive index of the two media.

When the sunlight makes a blacktop hot highway. The appearance of the wet spot is bright because of the refraction of light from the sky.

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An object is thrown upward at an angle θ above the ground, eventually returning to earth. (a) Is there any place along the trajectory where the velocity and acceleration are perpendicular? If so, where? at the initial position of motion at the highest point in the trajectory at the final position of motion velocity and acceleration are never perpendicular

Answers

Answer:

Yes, at the highest point in the trajectory velocity and acceleration are perpendicular.

Explanation:

Let [tex]x-[/tex]axis be the ground and [tex]y-[/tex]axis is the height above the ground. Let the initial velocity of the object is [tex]u[/tex] having angle [tex]\theta[/tex] with respect to ground and the acceleration due to gravity , [tex]g[/tex], is acting in vertically downward direction as shown in figure.

As gravitational force is acting in vertical direction, so, it will not change the horizontal velocity of the object. So, at any instant throughout the projectile motion the [tex]x-[/tex]component of the initial velocity will remailns constant, i.e. [tex]u_x=u \cos \theta[/tex].

While, due gravitational force, [tex]y-[/tex]component of the initial velocity will change. Initially, [tex]u_y=u \sin \theta[/tex] is in vertically upward direction and gravitational force is actiongn vertically downward direction, so, at first [tex]u_y[/tex] will decrease untill it reaches the highest point of the trajectory as shown. At the highest point the vertical component of the velocity [tex]u_y=0[/tex], so, there is only horizontal component of the velocity. i.e [tex]u_x= u \cos\theta[/tex] .

Now, the resultant velocity of the object at the highest point is [tex]u \cos \theta[/tex] which is in the horizontal direction while the acceleration , [tex]g[/tex] , (due to gravily) is actiog in vertically downward direction.

Hence, at the highest point in the trajectory velocity and acceleration are perpendicular.

During this moment, the two remain perpendicular even though the acceleration seems to be vertical well as the velocity seems to be horizontal.

Somewhere at the greatest point of the trajectory, vector quantities become perpendicular. Considering gravity constantly pushes downward, a projectile's acceleration would always be downward.Furthermore, because the vertical velocity of something like a projectile approaches zero at the height of its trajectory, the first and only portion of the velocity which thus might not be zero seems to be the horizontal factor.

Thus the response above is appropriate.

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The deep scattering layer (DSL):_________
a) was discovered by Charles Darwin
b) is only seen at night
c) is a biological phenomenon that can be detected with sonar
d) is not a biological phenomenon
e) is a chemical boundary in the water

Answers

Answer:

C

Explanation:

Because its a region of high biological productivity with a lot of water organism allowing for high reflectivity of sonar pulse mimicking ocean bottom

what part of the stem cell provides instructions for building the heart

a. ribosomes
b. DNA
c. RER
d. lysosomes

Answers

It’s DNA that’s a answer

using keplers 3rd law, determine the distance between the earth and the sun

Answers

Answer:

93.615 million or more

Explanation:

The Sun is about 93 million miles from Earth to calculate the distance to a star, astronomers observe it from different places along Earth's orbit around the Sun.

the Earth is about 147.5 million kilometers from the sun. Fun fact: every planet can fit in the distance between the Earth and Moon

The voltage across a 8.5-F capacitor is 2te–3t V. Find the current and the power.

Answers

Answer:

Explanation:

Given the capacitance of a capacitor = 8.5F

Voltage across the capacitor = 2te^-3tV

The current across a capacitor is expresses as shown;

I = Cdv/dt

Given V = 2te^-3tV

dv/dt = 2t(-3e^-3t) + 2(e^-3t)

dv/dt = -6te^-3t + 2e^-3t

Factor out the common term

dv/dt = -2e^-3t{3t-1}

If C = 8.5F

I = 8.5 × -2e^-3t{3t-1}

I = -17.0e^-3t{3t-1} A

Power is the product of current and voltage.

P = IV

Given I = -17.0e^-3t{3t-1} A

V = 2te^-3t V

Power = -17.0e^-3t{3t-1} × 2te^-3t

Power = (17e^-3t - 51te^-3t) × 2te^-3t

Power = 34te^{-3t-3t} - 102t²e^{-3t-3t}

Power = 34te^-6t - 102t²e^-6t

Power = 34te^-6t{1-3t} Watts

A cheetah is running at a speed of 19.5 m/s in a direction of 69° north of west. Find the cheetahs velocity component due north and due west.

Answers

Answer:

The cheetahs velocity component due north is 6.99 m/s

The cheetahs velocity component due west is 18.21 m/s

Explanation:

Given;

speed of the cheetah, v = 19.5 m/s

direction of the cheetah's speed, θ = 69°

Find the attached document for explanation

Which of the following is one way creativity can help scientists? (20 points) +Brainiest

a
By ensuring they follow the scientific method

b
By increasing the amount of time it takes to complete scientific experiments

c
By making sure they only try things that have already been proven

d
By leading them to ask more questions about the natural world

Answers

your answer would be B love!

There are two ways that an object can get in motion. What are they?

Answers

Answer:

pull or push

Explanation:

According to Newton's first law of motion "An object will continue to stay or remain at rest or continue to be in constant motion "unless acted upon by an external force"

F= ma

Basically a force is a pull or a push

so in other words the two ways by which an object can get in motion is by

1. A pull force

2. A push force

1. You are driving to the grocery store at 20 m/s. You are 110 m from an intersection when the traffic light turns red. Assume that your reaction time is negligible and that your car brakes with constant acceleration. What magnitude braking acceleration will bring you to a stop exactly at the intersection?

Answers

Answer:

-1.82m/s²

Explanation:

Given that the reaction time (t) is negligible and car brakes with constant acceleration.

Initial Velocity (u) = 20m/s

Distance(d) from Intersection when light turns red = 110m

Hence, the magnitude of braking acceleration that will bring the car to rest at exactly the intersection :

Using the motion equation:

v² = u² + 2as

Where v = final velocity at the intersection

u = initial velocity ; s = distance to intersection ; a = acceleration of the car

Exactly at the intersection ; v = 0

0 = 20² + 2×a×110

0 = 400 + 220a

-400= 220a

a = - 400 / 220

a = - 1.818

a = - 1.82 m/s²

- stands for negative acceleration (deceleration)

What three forms of energy are represented when a match is lit?

Answers

Answer:

Three forms of energy when a match is being lit are potential, kinetic and thermal.

hope this helps! :)

Explanation:

Answer:

Potential Energy

Kinetic Energy

Thermal Energy

Explanation:

The pacefic ocean has a surface area of about 166 241 700km^2 and an average depth of 3940 m. Estimate the volume of the Pacific ocean in cubic centimetres

Answers

Answer:

[tex] \lim_{(x,y) \to \(0,0)} \frac{2x {y}^{2} }{ {x}^{2} {y}^{2} } [/tex]

Explanation:

[tex]\lim_{(x,y) \to \(0,0)}[/tex]

if a car is traveling with a velocity of 20 m/s, how long will it take to reach 4000m

Answers

Divide 4000 by 20 which is going to equal 200
The answer is 200 if you divide 4000 by 20

Could someone tell me if this is right or give me the answers so i can re write them! That would be so helpful:)

Answers

Answer:

Those are all right

Explanation:

Answer:

They are right! Nice job!

Explanation:

You are given a vector in the XY plane that has a magnitude of 89.0 units and a y component of -70.0 units.

Answers

Hi I need help with my work can you help me please
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