A child in a boat throws a 6.6kg package out horizontally with a speed of 10.2m/s. Calculate the velocity of the boat immediately after, assuming it was initially at rest. The mass of the child is 29.9kg, and that of the boat is 44.7kg. Ignore water resistance.

Answers

Answer 1

Answer:

[tex]-0.902 \frac ms[/tex]

Explanation:

We apply conservation of momentum here. Before the toss, everything was still, so the momentum was 0. After the toss, we have the sum of the momentum of the package (1st term) and the boat+child combo (2nd term). Let's call v the velocity of the boat.

[tex]0= 6.6kg \cdot 10.2\frac ms + (29.9+44.7)kg\cdot v\\v= - \frac{6.6 \cdot 10.2 }{74.6} \frac ms \approx -0.902 \frac ms[/tex]

The term is negative since it expresses the boat+child system is going the opposite way from where the package flew.


Related Questions

A projectile in flight explodes into several fragments. The total momentum of the fragments immediately after this explosion: ___________

a. is the same as the momentum of the projectile immediately before the explosion
b. has been changed into kinetic energy of the fragments
c. is less than the momentum of the projectile immediately before the explosion
d. is more than the momentum of the projectile immediately before the explosion
e. has been changed into radiant energy

Answers

Answer:

answer is a.

Explanation:

Newton's first law: inertia

If you still can't get it, look at the book.

the conservation of momentum:

the total momentum of a system is conserved, provided that there is no external net force acting on the system.

The total momentum of a system is conserved. Therefore, the total initial momentum of a body after collision is equal to the total final momentum. Thus, option a is correct.

What is momentum ?

Momentum of an object is the ability of an object to bring the force applied to make a maximum displacement. It is the product of its mass and velocity. Momentum is a vector quantity. It have both magnitude and direction.

The momentum in a collision is conserved. Thus total initial momentum is equal to the final momentum. Let m be the colliding mass and the u and v be the initial and final velocity.

Then, mu = m v  after collision.

The initial momentum of the flight will be equal to the total momentum of the fragments immediately after the  explosion. This is called conservation of momentum.

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What variables do you think affect the strength of the force of gravity between two objects?.

Answers

Answer:

Mass and distance.

Explanation:

The force of gravity is proportional to the masses of the two objects and inversely proportional to the square of the distance between them.

A large toy car has a mass of 15 Kg and is pushed horizontally with a force of 2 N. Assume friction is so small it can be ignored. What is the acceleration?

Answers

Answer:

0.133 m/s²

Explanation:

F=ma
F is force
m is mass
a is acceleration


F=ma
2=15.a
a=2/15

a=0.133 m/s²

Help please it’s urgent

Answers

200 V I’m pretty sure
200 v is your answer

a girl on a bridge throws a rock straight down at -12.5 m/s. it hits the ground 38.4 m below. How much time did it take?

Answers

Initial velocity=u=12.5m/sDistance=s=38.4mTime be t

[tex]\\ \rm\rightarrowtail s=ut+\dfrac{1}{2}gt^2[/tex]

[tex]\\ \rm\rightarrowtail 38.4=12.5t+4.9t^2[/tex]

On solving further we get

t=1.8s

A girl on a bridge throws a rock straight down at -12.5 m/s.the time required to hit the ground 38.4 m below is 4.35 s.

Given:

Speed, u = -12.5 m/s

Distance, d = 38.4 m/s

There are three equations of motion present. For the given question, we will use the second equation of motion.

The second equation of motion helps in the determination of velocity, time, and distance. For the given question, we have initial velocity, and distance, to find time we can use the second equation of motion.

From the second equation of motion:
[tex]s = ut + 1/2 at^2\\38.4 = -12.5t - 9.8/2* t^2\\\4.9t^2 - 12.5 t -38.4 = 0[/tex]

Solving the equation, the required time is:
[tex]t = 4.35 s[/tex]

Hence, the time required to hit the ground 38.4 m below is 4.35 s.

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A bird uses 10 N of force to pull a worm out of the ground a distance of 3 inches. How much work did the bird do?

Answers

Answer:

The work done by the bird is 0.762 J

Explanation:

Given;

force applied by the bird, f = 10 N

distance the bird moved the worm, d = 3 inches = 0.0762 m

The work done by the bird is given by;

W = F x d

where;

W is the work done by the bird

d is the distance the bird moved the load

Substitute the given values and estimate the work done by the bird;

W = 10 x 0.0762

W = 0.762 J

Therefore, the work done by the bird is 0.762 J

A ball traveling at 15 m/s hits a bat with a force of 200N. How much force does the bat (moving at 20m/s)
hit the ball with?
O 200
O 15
O 20
O 20

Answers

Answer:

200 N

Explanation:

Given that,

A ball traveling at 15 m/s hits a bat with a force of 200 N.

We need to find the force that the bat moving at 20 m/s hit the ball with.

We know that, this probelm is based on Newton's third law of motion. The force that the ball exerting on bat should be equal to the force that the bat exerting in the ball but in opposite direction.

It would mean that the ball hits the ball with a force of 200 N. Hence, the correct option is (a).

In certain cases, using both the momentum principle and energy principle to analyze a system is useful, as they each can reveal different information. You will use the both momentum principle and the energy principle in this problem.A satellite of mass 7500 kg orbits the Earth in a circular orbit of radius of 8.7 106 m (this is above the Earth's atmosphere).The mass of the Earth is 6.0 1024 kg.What is the magnitude of the gravitational force on the satellite due to the earth

Answers

Explanation:

The gravitational force equation is the following:

Where:

G = Gravitational constant = 

m1 & m2 = the mass of two related objects

r = distance between the two related objects

The problem gives you everything you need to plug into the formula, except for the gravitational constant. Let me know if you need further clarification.

Amanda has started running as her primary form of exercise, but she's getting bored with it and finds excuses to procrastinate. It's also getting really hot outside now that it's summer, and Amanda's skin is sensitive to the sun. She has a significant budget available to help her fix the problem but is unsure how to spend the money.

What might be the most appropriate purchase for Amanda?


ANSWER please ⬆️⬆️⬆️ correctly! GIVING OUT BRAINLY STARS!!! ​

Answers

Answer:

: An app thr features menu planning with healthy recipes and pairs with a calorie tracking tool

who is the father of kinematics ?
explain +)​

Answers

Answer:

FRANZ REULEAUX

Late 19th century kinematics and the theory of machines as seen through the contributions of the German engineering scientist, Franz Reuleaux (1829-1905), often called the "father of kinematics". Extremely famous in his time and one of the first honorary members of ASME, Reuleaux was largely forgotten in much of modern mechanics literature in English until the recent rediscovery of some of his work. In addition to his contributions to kinematics, we review Reuleaux's ideas about design synthesis, optimization and aesthetics in design, engineering education as well as his early contributions to biomechanics. A unique aspect of this review has been the use of Reuleaux's kinematic models at Cornell University and in the Deutsches Museum as a tool to rediscover lost engineering and kinematic knowledge of 19th century history of machine.

What occurs during stage one sleep

Answers

Answer:

Stage one of sleep, also known as the transitional phase, occurs when one finds themselves floating in and out of consciousness. During this NREM stage, you may be partially awake while your mind begins to drift off. This period of drowsiness eventually leads to a light sleep

Explanation:

i found it on google

A box sits at the top of an incline that is 50.0 cm tall and that makes an angle of 25° with the ground. The box has a mass of 2.0 kg. It is given an initial speed of 3.0 m/s down the incline. If the coefficient of kinetic friction between the box and the incline is 0.10, how long does it take the box to reach the bottom of the incline?

Answers

As the box sits at the top of an incline that is 50.0 cm tall and makes an angle of 25° with the ground, The time it takes to reach the bottom of the incline is mathematically given as

t=0.148s

What is the time it takes the box to reach the bottom of the incline?

Generally, the equation for the acceleration  is mathematically given as

[tex]a=g(sin\theta-uscos\theta)[/tex]

Therefore

a=(9.8sin-(0.15cos35))

a=4.417

Thereofore

v^2=v0^2+2al

[tex]v^2=V0^2+2ahsin\theta\\\\V^2=(2.0+2(4.417))*60*0.01sin35[/tex]

v=2.6533

In conclusion, The time t is

t=v-v0/a

2.65-20/4.417

t=0.148s

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29N, 60° +59N, 125° + 72N, 261°
Vectors

Answers

389wujh

which means it 240C

Rihanna can go from 0-60 miles per hour in 3.5 seconds. Calculate the acceleration.
Please show ALL work and CIRCLE your answer.

Answers

Answer:

7.66 m/s²

Explanation:

The following data were obtained from the question:

Initial velocity (u) = 0 mph

Final velocity (v) = 60 mph

Time (t) = 3.5 s

Acceleration (a) =.?

Next, we shall convert mile per hour (mph) to metre per second (m/s). This can be obtained as follow:

Recall:

1 mph = 0.447 m/s

Initial velocity (u) = 0 mph

Initial velocity (u) = 0 × 0.447 = 0 m/s

Final velocity (v) = 60 mph

Final velocity (v) = 60 × 0.447 = 26.82 m/s.

Finally, we shall determine the acceleration of Rihanna as follow:

Initial velocity (u) = 0 m/s

Final velocity (v) = 26.82 m/s.

Time (t) = 3.5 s

Acceleration (a) =.?

a = (v – u) /t

a = (26.82 – 0) / 3.5

a = 26.82 / 3.5

a = 7.66 m/s²

Thus, the acceleration of Rihanna is 7.66 m/s²

A boulder of mass 4 kg rolls over a cliff and reaches the beach below with a velocity of 20 metres per second minus 1.

what is the kinetic energy of the boulder when it lands?

what is the potential energy on the cliff?

How high is the cliff??​

Answers

Given:-

Mass of boulder = 10kg

Final Velocity = 15m/s

Acceleration due to gravity = +10m/s

To Find:-

The kinetic energy of the boulder as it lands

The potential energy of the boulder when it was at the top of the cliff

The height of the cliff

Formulae used:-

Kinetic energy = mv²/2

Potential energy = mgh

Now,

We will first find the Kinetic enrgy,

→ K. E = ½mv²

→ K. E = ½ × 10 × (15)²

→ K. E = 5 × 225

→ K. E =1125J

But we know that when the body starts moving the Potential enrgy of the body starts Converting into Kinetic enrgy. Before reaching to the last spot it has equal kinetic energy and Potential energy.

Therefore,

→ mgh = 1125J

The Potential enrgy of the boulder when it was on top is 1125J

Now,

→ mgh = 1125J

→ 10 × 10 × h = 1125J

→ 100h = 1125J

→ h = 1125/100

→ h = 11.25m

Hence, The Height of the Cliff is 11.25m

Thanks!

Mark me brainliest!

Where is the stigma located?​

Answers

Answer:

At the tip of the pistil

Explanation:

Hope it helped!

In which position is it most likely that the spring has lost its elastic potential energy?
A.W
B.X
C.Y
D.Z

Answers

Answer:

w

Explanation:

its not being streched lol hope dis help

Option A is correct. At position W the spring will lose its elastic potential energy. When spring is extended or shortened, work is done. In the spring, elastic potential energy is stored.

What is the elastic potential energy of spring?

When a spring is stretched or compressed, work is done. In the spring, elastic potential energy is stored.

The work done is equal to the elastic potential energy stored, assuming no inelastic deformation has occurred.

The potential energy of the spring is equal to the work done on the spring;

Potential energy = Work done

The mechanical potential energy contained in the structure of a material or physical system as it is forced to elastic deformation by work done on it is referred to as elastic energy.

When things are impermanently crushed, extended, or distorted in any way, elastic energy is released.

The mechanical potential energy stored in the configuration of a material or physical system as it is subjected to elastic deformation by work done on it is referred to as elastic energy.

At position W, the spring has zero deformation. So there should be no stretching causes the potential energy of the system is zero.

Hence option A is correct. At position W the spring will lose its elastic potential energy.

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A heat engine that propels a ship produces 660 Btu/lbm of work while rejecting 300 Btu/lbm of heat. What is its thermal efficiency

Answers

This question involves the concepts of thermal efficiency.

The thermal efficiency of the heat engine is "68.75 %".

Thermal Efficiency

The thermal efficiency of the heat engine can be given by the following formula:

[tex]\eta=\frac{W}{Q}[/tex]

where,

η = thermal efficiency = ?W = Work output = 660 Btu/lbmQ = Heat Input = W + Rejected Heat = 660 Btu/lbm + 300 Btu/lbm   Q = 960 Btu/lbm

Therefore,

[tex]\eta=\frac{660\ Btu/lbm}{960\ Btu/lbm}[/tex]

η = 0.6875 = 68.75 %

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Sand and salt are poured into a single beaker. The result is a mixture because_____?

Answers

Answer:

Sand and salt are poured into a single beaker. The result is a mixture because they can be separated by simple and easy physical means.

Explanation:

Mixture : Properties :

They are put in a indefinite proportion.They are physically mixed with each other.They can be separated by physical and easily methodsConstituents retain their own properties

Now let us see these in the perspective of the question :

We could have put more of salt and less of sand, still it would not have become a compound. We had poured it into a single beaker with some physical means.We can use sedimentation and evaporation to separate them. After separating them, the will retain their own properties, it is not that the salt will become bitter or the sand will start not allowing the water to flow through it.

These are some few reasons why these getting mixed, becomes a mixture, and we can choose any one point of the properties of mixture and give the answer.

If my answer helped, kindly mark me as the brainliest!!

Thank You!!

Which of the following best explains why engineers are constantly looking for innovative ways to investigate
and improve fluid power designs?
Changes in fluid power systems lead to increased sustainability, such as decreases in fuel costs and carbon emissions.
Changes in fluid power will reach all different types of applications beyond their current uses.
Changes in fluid power will not benefit efficiency ratings but will decrease the costs of products.
Changes are necessary as more designs and products are created and more power systems are required.

Answers

Answer:

Explanation:

What was the answer Im stuck on it rn...

Answer:

Changes in fluid power systems lead to increased sustainability, such as decreases in fuel costs and carbon emissions.

Explanation:

Condition when an organ is impaired sickness

Answers

Answer:

As traditionally used, impairment refers to a problem with a structure or organ of the body; disability is a functional limitation with regard to a particular activity; and handicap refers to a disadvantage in filling a role in life relative to a peer group.

Explanation:

Hope this helps u

Crown me as brainliest:)

differentiate kinetic energy from potential energy

Answers

The main difference between potential and kinetic energy is that one is the energy of what can be and one is the energy of what is. In other words, potential energy is stationary, with stored energy to be released; kinetic energy is energy in motion, actively using energy for movement.

Hope it helps you! :)

Answer:

Potential energy is the energy that happens before kinetic energy, it might be slow and preparing for the kinetic energy act. Kinetic energy is the outcome of the potential energy. You can say a man climbing a hill with his bike is potential energy, and when he rides his bike down is kinetic energy

What will make it hard to remember that blood is an organ?
A - it is red
B - it has parts
C - it is a liquid
D - it moves

Answers

Answer:

C . it is a liquid

hope it helps you

A 75.0-kg athlete performs a single-hand handstand. If the area of the hand in contact with the floor is 125 cm2, what pressure is exerted on the floor

Answers

The pressure exerted on the floor by the athlete having a mass of 75 Kg is 58800 N/m²

How to determine the force

Mass (m) = 75 KgAcceleration due to gravity (g) = 9.8 m/s²Force (F) =?

F = mg

F = 75 × 9.8

F = 735 N

How to determine the pressure Force (F) = 735 NArea (A) = 125 cm² = 125×10¯⁴ m²Pressure (P) =?

P = F / A

P = 735 / 125×10¯⁴

P = 58800 N/m²

Thus, the pressure exerted on the floor is 58800 N/m²

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convert 10 erg into joule​

Answers

Answer:

0.000001

Explanation:

Went to google converter.

A bullet is fired straight up with a muzzle velocity of 1200 ft/s. How high does the bullet go, neglecting any air resistance?

Answers

The height of the bullet as it travels is 72727.27 ft.

What is height?

Height is the vertical distance between two points. The unit of height is meter (m).

To calculate the height the bullet will go, we use the formula below

Formula:

v² = u²+2gH.............. Equation 1

Where:

v = Final velocity of the bulletu = initial velocity of the bulletg = acceleration due to gravityH = Height the bullet will go.

Make H the subject of the equation

H = (v²-u²)/2g................ Equation 2

From the question,

Given:

u = 1200 ft/sv = 0 m/s (at maximum height)g = -9.8 m/s² (against gravitational force)

Substitute these values into equation 2

H = (0²-1200²)/2×(-9.8)H = -1440000/-19.8H = 72727.27 ft.

Hence, The height of the bullet as it travels is 72727.27 ft.

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1. You set the thermostat in your house to 70 degrees so that when it goes above that temperature the air conditioner will turn on. What is the feedback of this system? 2. You set the thermostat in your house to 70 degrees so that when it goes above that temperature the air conditioner will turn on. What is the input of this system?

PLEASE HELP

Answers

Answer:

Negative Feedback...... Temperature

Explanation:

as the Temperature increase more than the set point the air conditioner turn on to lower the temperature so that means it is Negative feedback because it is not INHANCING the temperature

Input should be Temperature or Heat because AC turns on when the temperature is getting above 70 degrees

NOW WHERE IS MY BRAINLIESTTTT

what is true about a horizontally launched projectile?

Answers

Answer:

it has lateral momentum

Explanation:

it explains itself

Select the correct answer.
In the "Describe the situation" step of the decision-making model, which of the following questions may be helpful to ask yourself?
А What decision needs to be made? OB. Why must this decision be made? OC. How will this decision affect me and others?
OD. All of the above​

Answers

Answer:

d

Explanation:

D because i u read book text

A car accelerates from rest. It reaches a velocity of 25m/s in 10 seconds. What was the cars acceleration?

Answers

Answer:

We are Given:

initial velocity (u) = 0m/s

final velocity (v) = 25 m/s

time (t) = 10 seconds

acceleration (a)  = a m/s/s

From the first equation of motion, we know that:

v = u + at

solving for a, we get:

a = (v-u) / t

now, plugging the given values in this equation

a = (25 - 0) / 10

a = 25 / 10

a = 2.5 m/s/s

Therefore, the acceleration of the car is 2.5 m/s/s

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