Rachel and Andrew are riding on a ferry boat traveling east at 3.5 m/s. Rachel rolls a marble with a velocity of 0.95 m/s north, straight across the deck of the boat to Andrew. What is the velocity of the marble relative to the water?

Answers

Answer 1

Answer:

The velocity of the marble relative to the water is 3.63 m/s

Explanation:

The information given are;

The velocity of the ferry relative to the water = 3.5 m/s

Direction of motion of the ferry = East

The velocity of the marble (on the ferry) relative to the ferry = 0.95 m/s

The direction of the marble = North

The (resultant) velocity of the marble relative to the water, [tex]v_R[/tex], is found as follows;

Resolution of the velocities;

Velocity of the ferry = 3.5·i + 0·j

Velocity of the marble = 0·i + 0.95·j

[tex]v_R[/tex] = Combined (resultant) velocity = √(3.5² + 0.95²) = 3.63 m/s

The velocity of the marble relative to the water = 3.63 m/s.


Related Questions

A 500 kg satellite experiences a gravitational force of 3000 N, while moving in a circular orbit around the earth. Determine the speed of the satellite.

Answers

Answer:

Speed of the satellite V = 6.991 × 10³ m/s

Explanation:

Given:

Force F = 3,000N

Mass of  satellite m = 500 kg

Mass of earth M = 5.97 × 10²⁴

Gravitational force G = 6.67 × 10⁻¹¹

Find:

Speed of the satellite.

Computation:

Radius r = √[GMm / F]

Radius r = √[(6.67 × 10⁻¹¹ )(5.97 × 10²⁴)(500) / (3,000)

Radius r = 8.146 × 10⁶ m

Speed of the satellite V = √rF / m

Speed of the satellite V = √(8.146 × 10⁶)(3,000) / 500

Speed of the satellite V = 6.991 × 10³ m/s

A football player kicks a ball at a 30o angle from the ground with an initial velocity of 15 m/s. What is the final velocity of the ball when it hits the ground?

Answers

Given that,

Angle = 30°

Initial velocity = 15 m/s

We need to calculate the time of flight

Using formula of time of flight

[tex]T=\dfrac{2u\sin\theta}{g}[/tex]

Where, u = initial velocity

g = acceleration due to gravity

Put the value into the formula

[tex]T=\dfrac{2\times15\sin30}{9.8}[/tex]

[tex]T=1.5\ sec[/tex]

We need to calculate the final velocity of the ball

Using equation of motion

[tex]v=u+gt[/tex]

[tex]v=15+9.8\times1.5[/tex]

[tex]v=29.7\ m/s[/tex]

Hence, The final velocity of the ball is 29.7 m/s.

A train moves at a constant velocity of 50 km/hHow far will it move in 0.5 h?
A. 10 km
B. 45 km
C.25 km
D. 20 km

Answers

Answer:

C

Explanation:

[tex]\dfrac{50km}{h}\cdot 0.5h= \\\\\\50km\cdot 0.5=25km[/tex]

Therefore, the correct answer is choice C. Hope this helps!

The correct answer is C.

It is C because .5 h is equal to 30 minutes. So half of 50 km is 25 km(Divided by 2)

Which object has the most gravitational potential energy?
O A. A 5 kg book at a height of 2 m
B. An 5 kg book at a height of 3 m
C. An 8 kg book at a height of 3 m
O D. A 8 kg book at a height of 2 m
SUBARU

Answers

Answer:

D

Explanation:

its the heaviest so i would assume its D

what is acceleration???​

Answers

Answer:

The rate at which velocity changes.

Explanation:

Acceleration is when motion changes, it is the rate at which velocity changes.

Answer:

Acceleration is defined as change in velocity per unit time.The increase in velocity per unit time is called acceleration.

Hope this is helpful for you.

I will give Brainliest to whoever can answer!!!!
If the phase of the vibrating sources was changed so that they were vibrating completely out of phase, what effect would this have on the interference pattern?

Answers

Answer:

The nodes and anti nodes would reverse roles.

Explanation:

I believe it has to do with the path differences. If waves are in phase, then the path differences are such that the waves reach the screen with crests superimposing crests and troughs superimposing troughs. This happens when the periods of each wave are equal or the paths themselves differ by a whole number multiple of the wavelength (λ, 2λ, 3λ, ...).

Now make these waves out of phase. Then half of the waves will travel half a wavelength farther than the rest. So the path difference will be 0.5λ, 1.5λ, 2.5λ, ....

A machine is 40 % efficient. The total energy supplied to the machine is 4 kJ. Calculate how much useful energy can be transferred.

Answers

Answer:

1.6 kJ

Explanation:

0.40 (4 kJ) = 1.6 kJ

what are laws of newton

Answers

Answer:

In the first law, an object will not change its motion unless a force acts on it. In the second law, the force on an object is equal to its mass times its acceleration. In the third law, when two objects interact, they apply forces to each other of equal magnitude and opposite direction

Explanation:

Answer:

Newton's Law of Motion

1- Every object persists in its state of rest or uniform motion -­ in a straight line unless it is compelled to change that state by forces impressed on it.

2- Force is equal to the change in momentum per change in time. For a constant mass, force equals mass times acceleration.

3- For every action, there is an equal and opposite reaction.

A toboggan with two riders has a total mass of 87.0 kg. A third person is pushing the toboggan with a force of 42.5 N at the top of a hill with an angle of 16°. The force of friction on the toboggan is 36.0 N. Which statement describes an accurate free-body diagram to represent the situation? (Choose one of the forces acting on the system with correct magnitude and direction.)

Answers

Options:

a) An arrow of magnitude 852.6 N points perpendicular to the slope of the hill.

b)  An arrow of magnitude 6.50 N points down the slope of the hill.    

c)  An arrow of magnitude 78.5 N points down the slope of the hill.

d)  An arrow of magnitude 852.6 N points straight down.

Answer:

d)  An arrow of magnitude 852.6 N points straight down.

Explanation:

The total mass of the two riders, m = 87.0 kg

The free body diagrams of the situation described are drawn and contained in the files attached to this solution.

Note that the weight of the toboggan will act directly downwards.

Therefore, the weight of the toboggan, W = mg

W = 87 * 9.8

W = 852.6 N

Since the arrow representing the weight of the toboggan points straight down, the correct answer is that an arrow of magnitude 852.6 N points straight down.

1-D Kinematics
A car starts at a position of -153 m
and undergoes a displacement of
512 m. What is its final position?
(Unit = m)​

Answers

Answer:

hope it helps you...........

help fast I want the correct answer please does spectral diffusion cause light to scatter ​

Answers

Answer: No

Explanation:

Whenever light travelling on a straight line encounters obstruction, it diffracts and scatter.

Scattering of light occurs when light passes through a rough path or a diffused surface.

But in case of spectral diffusion, which is the fluctuation in spectroscopy as a result of time dependent frequency shifts.

Spectral diffusion occurs in particular molecules initiated by excessive excitation energy.

Fluctuation in frequency does not mean diffraction of light or particles

Therefore, spectral diffusion does not cause light to scatter.

A cars start from rest . after 10 seconds its acceleration become 2 meter per second find its final velocity​

Answers

Answer:

[tex] \boxed{\sf Final \ velocity = 20 \ m/s} [/tex]

Given:

Initial velocity (u) = 0 m/s

Acceleration (a) = 2 m/s²

Time taken (t) = 10 seconds

To Find:

Final velocity (v)

Explanation:

[tex]\sf From \ equation \ of \ motion: \\ \sf v = u + at \\ \\ \sf v = 0 + 2(10) \\ \\ \sf v = 2 \times 10 \\ \\ \sf v = 20 \ m/s[/tex]

Find vertical and horizontal displacement. Please help. 10 points. Thank you.

Answers

Explanation:

horizontal velocity = 30 x Cos45 = 19.48m/s

to find horizontal displacement

horizontal displacement = horizontal velocity x timehorizontal displacement = 19.48 x 2 = 38.96m

vertical velocity = 30 x Cos45 = 22.81m/s

vertical displacement = vertical velocity x time

vertical displacement = 22.81 x 2 = 45.62m

Answer:

Displacement after two seconds

= <Dx,Dy> = <42.426, 1.593> m to three decimal places

Explanation:

Given:

arrow shot at 30m/s and 45 degrees with horizontal.

Hit bull's eye after 2 seconds.

Find horizontal and vertical displacements.

Vx = 30cos(30) m/seconds  constant  velocity

therefore

Dx = Vx*t = 30cos(30) m/s *  2 s = 60 cos (45) = 42.426 m

Vy = 30 sin(45) m/s  

Dy = Vy*t + a(t^2) /2  

= 30*sin(45) -9.81(2^2)/2        (g is accelerating downwards, so negative)

= 1.593 m

The net displacement after 2 seconds is

D = <Dx,Dy> = <42.426, 1.593> m to three decimal places

When Emma pushes a bag with a force of 27 newtons, the coefficient of kinetic friction between the bag and the floor is 0.23. What is the normal force acting on the bag by the floor? A. 0.085 newtons B. 27 newtons C. 2.7 × 102 newtons D. 1.2 × 102 newtons

Answers

Answer:

D. 1.2 × 102 newtons

Explanation:

The computation of the normal force acting on the bag is shown below:

It could find out by applying the following formula

Normal force =  Force ÷  coefficient of kinetic friction

where,

Force is 27 newtons

And, the  coefficient of kinetic friction is 0.23

Now placing these values to the above formula

So, the normal force is

= 27 newtons ÷ 0.23

= 117.39 N

Therefore the correct option is D.

an object experiences buoyant force of 15.9 n when immersed in a fluid of density 917 kg/m^3. what is the volume of the object?

Answers

Answer:

0.00176

Explanation:

Credit to the person above.

Which of the following statements are true (mark all that apply) primordial nucleosynthesis produced all of the elements heavier than helium chemical composition of our solar system matches the chemical composition of the Milky Way some of the stars in the Milky Way may be older than the Milky Way your body contains a lot of helium nearly all atoms of elements heavier then helium were produced through nuclear fusion in stellar interiors and through reactions that occur during explosions that massive stars undergo at the ends of their lives or during mergers of stellar remnants called neutron stars some of the oldest galaxies are about 13.2 billion years old nucleosynthesis is a process through which the atoms of various elements are produced you're mainly made of hydrogen

Answers

Answer:

The correct options are;

1) The chemical composition of our solar system matches the chemical composition of the Milky Way

2) Nearly all atoms of elements heavier than helium were produced through nuclear fusion in stellar interiors and through reactions that occur during explosions that massive stars undergo at the ends of their lives or during mergers of stellar remnants called neutron stars

3) Some of the oldest galaxies are about 13.2 billion years old

4) Nucleosynthesis is a process through which the atoms of various elements are produced

5) You re mainly made of hydrogen

 

Explanation:

1) There are dependencies between chemical composition of stars and planets and the same distribution of chemicals we have in our Solar system have been observed to be present in varying resemblance through out the Milky Way

2) The formation of heavier elements are believed to have been formed by astrophysical fusion processes

3) The oldest known object (and hence the galaxy where the star resides), is from a distant star known as GRB 090423 which is about 13 billion years old

4) New atomic nuclear are created by the process of protons and neutrons by the process of nucleosynthesis

5) 62%of the atoms in the body are hydrogen atoms.

write examples of adaptation in mangrove .?
what are the adaptation of rainforest.?​

Answers

Answer:

example of adaptation in mangrove

Mangroves are salt-tolerant trees, also called halophytes, and are adapted to life in harsh coastal conditions. They contain a complex salt filtration system and complex root system to cope with salt water immersion and wave action. They are adapted to the low oxygen conditions of waterlogged mud.

adaptation of rainforest

Many animals have adapted to the unique conditions of the tropical rainforests.

hope this can help you

What are some of the major differences between the ancient Olympics and modern-day Olympics? List and describe at least two differences.

Answers

Answer:

-Women are now allowed to participate in the Olympics unlike before when it was only men allowed.

-Modern Olympic Games include many more events. There are more than 20 different sports and almost 300 events in the modern games, while the first Olympics only had running.

-The Olympics are held every two years. While the ancient Olympics were originally held every four years.

-Athletes from countries around the world participate in the modern Olympics unlike in the ancient Olympics where only athletes from ancient Greece competed.

Explanation:

Edmentum Plato answer (i already reworded most of it so you don't have to) <33

During the warm-up and your scheduled physical activity, what was the weather like? Did the
temperature or conditions affect how much water you drank? How?

Answers

yes, if weather was hot you need more fluids in your body due to the sweat pores needing to cool you down.

Answer: I did these exercises outdoors. The weather was hot and humid, so I drank about two cups of water during the workout. I also drank a cup of water about an hour before I started. Yes, the weather most definitely affected how much I drank.

Explanation: Edmentum

how does gravitational pull affect planets with the same mass but different distance from the sun?

Answers

Answer:

it just pulls them at the same time

Explanation:

A water pipe tapers down from an initial radius of R1 = 0.2 m to a final radius of R2 = 0.09 m. The water flows at a velocity v1 = 0.87 m/s in the larger section of pipe. What is the volume flow rate of the water?

Answers

Answer:

0.109  m/s

Explanation:

The calculation of the volume flow rate of the water is shown below:-

Av = Velocity ([tex]\pi[/tex])(Radius)^2

= 0.87([tex]\pi[/tex])(0.2)^2

= 0.135258 m^3 / sec

= 0.109371429 m/s

or

= 0.109

So, for calculating the volume flow rate of the water we simply applied the above formula i.e by multiplying the velocity with pi and squaring of radius so that the volume could come

a force of 50 n acts on abody of mass 5 kg .calculate the acceleration produced​

Answers

Answer:

a = 10 m/s²

Explanation:

Given:

Force = F = 50 N

Mass = m = 5 kg

Required:

Acceleration = a = ?

Formula:

F = ma

Solution:

Rearranging the formula for a

=> a = F/m

=> a = 50/5

=> a = 10 m/s²

If I were to fill a water bottle full of air and go up in elevation, would the water bottle expand or shrink? If I were to fill a water bottle full of air and go down in elevation, would the water bottle expand or shrink? I am at elevation 20000 I think.

Answers

Answer:

a. It would shrink

b. It would expand

Explanation:

a. Since the water bottle is filled with air at atmospheric pressure at 20000 ft, and since atmospheric pressure decreases with altitude, when we go up in elevation.

The pressure exerted by the molecules of air in the water bottle seek to balance out the atmospheric pressure as we go higher. Since the atmospheric pressure exerted by the molecules of air in the atmosphere are greater than that exerted by the molecules of air in the water bottle, this causes the volume of the water bottle to decrease and thus shrinks the water bottle until the pressure balances out

b. Since the water bottle is filled with air at atmospheric pressure at 20000 ft, and since atmospheric pressure increases with decreasing altitude, when we go down in elevation.

The pressure exerted by the molecules of air in the water bottle seek to balance out the atmospheric pressure as we go lower. The water bottle expands until the atmospheric pressure outside equals the pressure inside the water bottle.this causes the volume of the water bottle to increase and thus expands the water bottle until the pressure balances out

Dominic made the table below to organize his notes about mixtures.
Properties of Mixtures
has no set composition
must have more than one state of matter
must have more than one substance
What mistake did Dominic make?
The title should read "Properties of Solutions" because some mixtures do not have all of the properties listed.
There is a definite recipe to make each mixture, so the composition of a mixture is set.
Although it is possible to have more than one state, it is also possible to have only one state.
A single substance can be used to make a mixture if the substance is composed of more than one element.

Answers

Answer:

Althought it us possible to have more then one state, it's also possible to have only one state of matter

Explanation:

You can make solutions of only one state if matter, for example , it two liquids can be mixed to form a solution they are called miscible.

Answer:

The correct answer is C.) Although it is possible to have more than one state, it is also possible to have only one state.

Explanation:

I just did the test on edge and got it right

A 0.675 kg mass is attached to a
spring of spring constant 42.4 N/m,
pulled, and released. What is the
frequency of the resulting
oscillation?
(Unit = Hz)

Answers

Answer:

1.26

Explanation:

f=1/(2pi) square root k/m

f=1/(2pi) square root 42.4/.675

f=1.26 I just did this question and found this right

The vibrations of a string fixed at both ends are represented by y=16sin(πx/15 )cos(96πt). Where x and y are in cm and t in seconds. Then the phase difference between the points at x=13cm and x=16 in radian​

Answers

Answer:

Explanation:

y = 16 sinπx/15 cos(96πt)

When t = 0

y = 16 sinπx/15

here πx/15 is phase of the point at x

if x = 13

Phase = 13π/15

if x = 16

Phase = 16π/15

Phase difference

= 16π/15 - 13π/15

= 3π/15

= π/5 radian .

What will happen to the astronaut when the jets produce these four forces: 10N, 10N, 9N, 9N?

Answers

The astronaut would go the opposite direction due to Newton’s third law of -10N, -10N, -9N, -9N

Let me know if this helped you, please rank this was the brainlist answer if possible, thanks!

difference between uniform velocity and variable velocity .​

Answers

Answer:

If a body covers equal displacement in equal interval of time,however small may be the body is said to have uniform velocity. If a body covers in equal displacement in equal interval of time is called variable velocity.

Who found Uranus? Name?​

Answers

Answer:William Herschel found the seventh planet now known as uranus

<!> Brainliest is appreciated! <!>

Explanation:

Answer:

William Herschel

Explanation:

A 150 g egg is dropped from 3.0 meters. The egg is moving at 4.4 m/s right before it hits the ground. The egg comes to a stop in 0.072 seconds.

What is the magnitude of force that the ground exerted on the egg?

0.66 N

9.2 N

13 N

180 N

Answer is 9.2 N

Answers

Answer: Magnitude of the force exerted on the egg by the ground is 9.2N

Explanation:

Given the following :

Mass of egg (m) = 150g = 0.15kg

Height(h) from which egg is dropped = 3m

velocity of egg before hitting the ground (u) = 4.4m/s

Final velocity of egg (V) = 0

Time taken (t) = 0.072s

Magnitude of the force exerted on the egg by the ground can be found by applying Newton's 2nd law:

Momentum = mass × velocity

From Newton's second law:

Force = mass × change in Velocity with time ;

That is

F = m * ΔV / t

Inputting our values

F = 0.15 * (4.4 - 0) / 0.072

F = 0.15 × (4.4 / 0.072)

F = 0.15 × 61.11

F = 9.16N

F = 9.2N

Answer:

9.2 N

Explanation:

Just took practice quiz

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