A woman of mass 49 kg jumps off the bow
of a 78 kg canoe that is intially at rest.
If her velocity is 4.5 m/s to the right, what
is the velocity of the canoe after she jumps?
Answer in units of m/s i.
x x

Answers

Answer 1

The woman-canoe system has zero initial momentum. When the woman jumps from the canoe, the total momenta of the woman and canoe is conserved, so that

0 = (49 kg) (4.5 m/s) + (78 kg) v

where v is the velocity of the canoe. Solving for v, we find

(78 kg) v = - (49 kg) (4.5 m/s)

v = - 49/78 (4.5 m/s)

v ≈ -2.8 m/s

which is to say, the boat is given a velocity of 2.8 m/s to the left.


Related Questions

What is the final velocity of an object that starts from rest and travels for 5 seconds at an acceleration of 4.3 m/s2?

Answers

Answer:

This is the answer that I got.

Explanation:

Hope it is right.

Find the distance traveled in one back-and-forth swing by the weight of a 12 in. Pendulum that swings through a 75 degree angle.

Answers

The distance traveled by pendulum, in one back-and-forth swing is 75.75 inches.

The period of pendulum can be calculated by

[tex]T = 2\pi \sqrt {\dfrac Lg}[/tex]

Where,

[tex]T[/tex] - period

[tex]L[/tex] - length = 12 inches

[tex]g[/tex]- gravitational acceleration  = [tex]\bold {9.8\rm \ m/s^2}[/tex]

Put the values,

[tex]T = 2\pi \sqrt {\dfrac {12}{9.8}}\\\\T = 2 \times 3.14 \times \sqrt {0.122}\\\\T = 2.191[/tex]

Now, the angular displacement of the pendulum can be calculated by,

[tex]\theta = A\times\rm \ cos(\omega T)[/tex]

Where,

[tex]A[/tex]- amplitude

[tex]\theta[/tex] - angle  = [tex]75^o[/tex]

[tex]\omega[/tex] - angular displacement = [tex]2\pi/T[/tex] = 2.866 m

Put the values and calculate for [tex]\omega[/tex],

[tex]75 = A\times{\rm \ cos}(2.866\times 2.191)\\\\75 =A \times cos\ 6.26\\\\A =\dfrac {75}{0.99}\\\\A = 75.75 \rm \ inches[/tex]

Therefore, the distance traveled by pendulum, in one back-and-forth swing is 75.75 inches.

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Make a super villain out of these resources

Answers

Answer:the super villain would have the ability to control electricity and could take any Metal object or weapons that anyone points at him because he is magnetic

Explanation:

do we use more freshwater in our homes to provide us with electricity

Answers

Answer:

No. Water can be used in a hydroelectric dam to generate electricity, but this does not make us use more or less water in our homes.

Explanation:

Answer:We use more freshwater to provide us with electricity. Water is the only compound that can be found naturally as a liquid, gas, and solid.

Explanation:

A digital stopwatch reading 0:13 37. Read the elapsed time on the stopwatch and answer the questions. In which digit is there the least amount of confidence? How many significant figures does this measurement have?.

Answers

The digit with the least amount of confidence can be seen in the second part which is 7.

The number of significant figures in the measurement of the stopwatch is 4.

An elapsed time is the difference between the time prior to the commencement of an event and the time at which the event has ended.

From the stopwatch, the elapsed time is given as:

0hour : 13 minutes : 37 seconds

The digit with the least amount of confidence can be seen in the seconds part is 7.

A significant figure is a real figure that is dependable and absolutely essential to convey the quantity of something.

The number of significant figures in the measurement of the stopwatch is 4.

Learn more about elapsed time here:

https://brainly.com/question/10403745

Answer: 7 and 4

Explanation: A digital stopwatch reading 0:13 37.

Read the elapsed time on the stopwatch and answer the questions.

In which digit is there the least amount of confidence?

7

How many significant figures does this measurement have?

4

Draw a diagram that represents how a mechanical wave interacts with a particular material.
Create a diagram and include reflection, absorption, and transmission.
Write a brief description (3+ sentences) of the interaction of the mechanical waves and the material. Include an explanation of how the amplitude and frequency of the wave are affected.
85 POINTS!!

Answers

When mechanical waves interact with material, it transfer its energy to the material.

What are mechanical waves?

Mechanical waves are the type of waves that require a medium for transporting their energy from one region to another. Mechanical waves depend on particle interaction in order to transport their energy.

The amplitude and frequency of the wave are negatively affected due to the striking of mechanical waves with the material.

Learn more about waves here: https://brainly.com/question/75996

Answer:

i have a screenshot just use mine https:/ss27

Explanation:

If the 0.10 kg baseball on the right has a
kinetic energy of 5 J, what is its velocity?

Answers

Answer:

10 m/s

Explanation:

The kinetic energy of an object can be found by using the formula

[tex]k = \frac{1}{2} m {v}^{2} \\ [/tex]

m is the mass

v is the velocity

Since we're finding the velocity we make v the subject

That's

[tex]v = \sqrt{ \frac{2k}{m} } \\ [/tex]

From the question

k = 5 J

m = 0.1 kg

We have

[tex]v = \sqrt{ \frac{2 \times 5}{0.1} } = \sqrt{ \frac{10}{0.1} } = \sqrt{100} \\ = 10[/tex]

We have the final answer as

10 m/s

Hope this helps you

A car weighing 8000N is traveling at 45 m/s on a perfectly flat, frictionless road. If the driver slams on the brakes, how far will thw car slide before it comes to a stop?

Answers

Without friction, the car cannot stop...

Why don't atoms get too close?
a.) The electrons from atom repel each other
b.) The protons from each atom repel each other
c.) The neutrons from each atom repel each other

Answers

Answer:

This tends not to happen, because atoms are composed of charged particles that interact at a distance. ... Since the electrons are around the outside of the atom, those are the things that first interact, and as they have the same charge, they repel one another.

A. The electrons from atom repel each other

Fill in the blanks about Newton’s First Law of Motion:
Objects want to ____________ ____________ doing what they’re ____________ ____________ because they are “lazy.” This is called ____________.

Answers

Objects want to continue doing what they’re doing because they are “lazy.” This is called law of inertia.

Newton's first law of motion states that an object at rest or uniform motion in a straight line will continue in that state unless it is being acted upon by an external force. This law is also called the law of inertia because it depends on mass.

From the given question, we can fill gaps as follows;

Objects want to continue doing what they’re doing because they are “lazy.” This is called law of inertia.

Learn more about Newton's first law of motion here: https://brainly.com/question/10454047

In a car engine, fuel is ignited within a cylinder to cause an explosion that moves a piston. If the explosion exerts 300 Pa of pressure on a piston with a surface area of 80 cm^2?

Answers

The force exerted by the explosion on the piston is 2.4 N.

The given parameters:

Pressure of the explosion on piston, P = 300 Pa (N/m²)Surface area of the piston, A = 80 cm²

The force exerted on the piston by the explosion is calculated as follows;

F = PA

where;

A is the area of the piston in m²

The surface area of the piston in square meter is calculated as follows;

[tex]A = 80 \ cm^2 \times \frac{(1m)^2}{(100 \ cm)^2} \\\\A = 0.008 \ m^2[/tex]

The force exerted by the explosion on the piston is calculated as follows;

[tex]F = 300 \ (N/m^2)\ \times \ 0.008 \ (m^2)\\\\F = 2.4 \ N[/tex]

The complete question is here:

In a car engine, fuel is ignited within a cylinder to cause an explosion that moves a piston. If the explosion exerts 300 Pa of pressure on a piston with a surface area of 80 cm^2, what is the force exerted on the piston?

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A car that's initially traveling at 10 m/s acceleration uniformly for 4 seconds at a rate of 2 m/s?in a straight line. How far does the car travel during this time?

Answers

Answer:

Explanation:

The answer is -2m/s²

A young diver is practicing his skills before an important team competition. Use the diagram below in order to analyze the energies of the diver and complete the statements below.

Where m = mass (kg), g = 9.8 m/s2, v = velocity (m/s), h = height (m), KE = kinetic energy (J), and GPE = gravitational potential energy (J).
Use the equations above to answer the following questions.

A diver with a mass of 90 kg is at a height of 10 m, and he has not jumped off of the board yet (v = 0 m/s). When the diver reaches a height of 5 m (Point C), his gravitational potential energy is

A. 1350 J

B. 8820 J

C. 4410 J

D. 0 J

and his velocity is

E. 4.5 m/s

F. 0 m/s

G. 3.2 m/s

H. 9.9 m/s

Please help will mark brainliest

Answers

Mass of the diver (m) = 90 Kg.Height of the board from the ground (h) = 10 m.Acceleration due to gravity (g) = 9.8 m/s^2.Height of the diver from the ground when he reaches point C (x) = 5mInitial velocity (u) = 0 m/sWe know, gravitational potential energy of a body = mass × acceleration due to gravity × height.Therefore, the gravitational potential energy of the diver when he reaches point C (GPE) = mg(h - x)or, GPE = [90 × 9.8 × (10-5)] Jor, GPE = [90 × 9.8 × 5] Jor, GPE = 4410 JFor a freely falling body,v^2 - u^2 = 2ghor, v^2 = 2ghWe know, kinetic energy of a body = 1/2 mv^2Therefore, kinetic energy of the diver when he reaches point C (KE) = 1/2 m(2gx)Here, 2gx = (2 × 9.8 × 5) = 98 (m/s)^2We have already seen v^2 = 2gh or, v = √2ghSo, the velocity of the diver = √2gx = √98 m/s = 9.9 m/s

Answers:

The gravitational potential energy of the diver when he reaches point C is 4410 J.

The velocity of the diver is 9.9 m/s.

Hope you could get an idea from here.

Doubt clarification - use comment section.

h=10m-5m=5mm=90Kgg=9.8m/s^2

[tex]\\ \sf\longmapsto PE=mgh[/tex]

[tex]\\ \sf\longmapsto PE=90(5)(9.8)[/tex]

[tex]\\ \sf\longmapsto PE=4410J[/tex]

Now

It's converted to kinetic energy while reaching ground.

[tex]\\ \sf\longmapsto K.E=4410[/tex]

[tex]\\ \sf\longmapsto \dfrac{1}{2}mv^2=4410[/tex]

[tex]\\ \sf\longmapsto 90v^2=8820[/tex]

[tex]\\ \sf\longmapsto v^2=98[/tex]

[tex]\\ \sf\longmapsto v=9.9m/s[/tex]

please help asap!!!!!!!!!!!

Answers

The answer would be 20000

The answer in standard form/scientific notation would be 2 x 10^4

(The exponent is 4 because that's how many digits after the 2 there is)

A(n) 1700 kg car is moving along a level road at 21 m/s. The driver accelerates, and in the next 10 s the engine provides 22000 J of additional energy. If 3666.67 J of this energy must be used to overcome friction, what is the final speed of the car

Answers

The final speed of the car at the given conditions is 30.1 m/s.

The given parameters:

Mass of the car, m = 1700 kgVelocity of the car, v = 21 m/sTime of motion, t = 10 sAdditional energy provided by the engine, E₁ = 22,000 JEnergy used in overcoming friction, E₂ = 3,666.67 J

The change in the energy applied to the car is calculated as;

[tex]\Delta E = E_1 - E_2\\\\\Delta E = 22,000 \ J \ - \ 3,666.67 \ J\\\\\Delta E = 18,333.33 \ J[/tex]

The final speed of the car is calculated as follows;

[tex]\Delta E = \frac{1}{2} m(v_f^2 - v_0^2)\\\\v_f^2 - v_0^2 = \frac{2\Delta E}{m} \\\\v_f^2 = \frac{2\Delta E}{m} + v_0^2\\\\v_f = \sqrt{ \frac{2\Delta E}{m} + v_0^2} \\\\v_f = \sqrt{ \frac{2\times 18,333.4}{1700} + (21)^2} \\\\v_f = 30.1 \ m/s[/tex]

Thus, the final speed of the car at the given conditions is 30.1 m/s.

Learn more about change in kinetic energy here: https://brainly.com/question/6480366

What is electromagnetic wave ?

Answers

its an electric magnetic cell this uses electricity

The power ratings of several motors are listed in the table. A 2 column table with 3 rows. The first column is labeled motor with entries, brand X, brand Y, brand Z. The second column is labeled Power in watts with entries 7460, 7650, 7580. An advertising agency writes marketing material for a new motor (Brand W) that has a power rating of 7,640 W. Which statement comparing the motors can they truthfully use? Brand W motor can finish any job faster than Brand Y motor can. There’s not a more powerful motor available. Brand W motor does more work each second than Brand X or Brand Z. Every second, Brand W motor does 7,640 N of your toughest work.

Answers

The statement  " Brand-W motor does 7,640 N of your toughest work." can be truthfully use.

Advertisement Rules:

An advertiser can not compare its products using the other companies name.An advertiser can not make the false statement in its advertisement.

Here, the brand-W has the power rating of  7,640 W that is less than brand-Y. Advertiser cannot compare his brand using the name of Brand X, Y, or Z.

Therefore, the statement  " Brand-W motor does 7,640 N of your toughest work." can be truthfully use.

To know more about Advertisement Rules:

https://brainly.com/question/13679377

Answer:

The correct answer is C, Brand W motor does more work each second than Brand X or Brand Z.

desventajas de la fricción cinética

Answers

Answer:

Please translate this into Spanish! Sorry I can't :(

Explanation:

Disadvantages of Friction:

Friction produces unnecessary heat leading to the wastage of energy.

The force of friction acts in the opposite direction of motion, so friction slows down the motion of moving objects.

Forest fires are caused due to the friction between tree branches.

Above sea level, water boils at a __ temperature due to the __ atmospheric pressure.

Answers

Answer:

lower, lower

Explanation:

When atmospheric pressure is lower, such as at a higher altitude, it takes less energy to bring water to the boiling point. Less energy means less heat, which means water will boil at a lower temperature at a higher altitude.

What is science notation

Answers

Answer:

Scientific notation is the way that scientists easily handle very large numbers or very small numbers. For example, instead of writing 0.0000000056, we write 5.6 x 10-9. So, how does this work? We can think of 5.6 x 10-9 as the product of two numbers: 5.6 (the digit term) and 10-9 (the exponential term).

Explanation:

Scientific notation is a way of expressing numbers that are too large or too small to be conveniently written in decimal form. It may be referred to as scientific form or standard index form, or standard form in the UK.

How long did it take Sally riding her bike to slow down from 18 km/h to 6 km/h if the deceleration was at a rate of 4 km/h/s?

4.5 seconds

3 seconds

3 hours

6 seconds

Answers

Answer:
I’m pretty positive that it’s 3 seconds

Hope this helps!

How can you decrease the amount of input force of a wheel and axle?

Answers

Explanation:

hmm by the increasing the size of wheel and decreasing axle

Help if u can please

Answers

Answer:

d

Explanation:

Can we get less ads please i don’t like this

Answers

I hope we can! I dont like the ads either! they are horrible on these appsn

Describe when the chemical
reaction occurs in a dry-cell
battery

Answers

Answer:

For a dry-cell battery to operate, oxidation will occur from the zinc anode and reduction will take place in the cathode. The most common type of cathode is a carbon graphite. Once reactants have been turned into products, the dry-cell battery will work to produce electricity.

Explanation:

The battery operates through electrochemical reactions called oxidation and reduction. These reactions involve the exchange of electrons between chemical species. If a chemical species loses one or more electrons, this is called oxidation. The opposite process, the gain of electrons, is called reduction.

How much energy is needed just to boil 5kg of water at 100◦ C?

Answers

11285

Mark brainless pls

Desperate Please Hurry
What was the evidence that Earth was round before there were photos from space?

Answers

Answer:

?????

Explanation:

????????????????????‽,??????????????????‽????????????????????????????????????

Read the picture, please. I am a bit confused about what it means when it says which one supports it.

Answers

Answer:

not suppoted

not supported

support

???????????????????????????????????

Answers

What happened the thing is kinda glitched

A neutral object has:

a. Zero electrons.
b. Zero protons.
c. Only neutrons.
d. An attraction to negative objects.
e. An attraction to neutral objects.

Answers

Answer:

c. Only neutrons.

hope it helps :)

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