A child jumps from a moving sled with a speed of 2.2 m/s and in the
direction opposite the sled's motion. The sled continues to move in the forward direction, but with a new speed of 5.5 m/s. If the child has a mass of 38 kg and the sled has a mass 68 kg, what is the initial velocity of the sled?

Answers

Answer 1

The initial velocity of the sled will be 7.34 m/sec. V is the initial velocity of the sled.

What is the law of conservation of momentum?

According to the law of conservation of momentum, the momentum of the body before the collision is always equal to the momentum of the body after the collision.

The given data in the problem is;

(m₁)  mass of child = 38 kg

(u₁) is the initial velocity child = 2.2 m/s

(m₂) is the mass of sled = 68 kg

(u₂) is the initial velocity of sled = ?

(v) is the velocity after collision = 5.5 m/s

According to the law of conservation of momentum;

Momentum before collision =Momentum after collision

[tex]\rm m_1u_1 + m_2u_2 = v(m_1 + m_2)\\\\(38 \times 2.2) + (68 \times V) = 5.5 \times (38+68) \\\\ 83.6 + 68V = 5.5 \times 106 \\\\ 83.6 + 68V =583 \\\\ \rm 68\ V= 583 -83.6 \\\\ \rm 68 \ V= 499.4\\\\ V= 7.34 \ m/sec[/tex]

Hence,the initial velocity of the sled will be 7.34 m/sec.

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Related Questions

Struggling with this, pls answer:( Brainliest to the (FIRST) right answer

Answers

Answer:

c. a and c

Explanation:

ammeters are connected in series to measure charge/current

An engineer who is helping to design a tall building is studying the frequencies that seismic waves travel through the ground that the building will be built on. Why would she want to know about the frequencies of seismic waves?

Answers

The frequencies of seismic waves will check if the presence of the waves have made buildings with weak foundations to be prone to destruction.

What is Frequency?

This is defined as the number of occurrences of a repeating event per unit of time and the unit is hertz.

Knowing the frequency of the seismic wave is a good safety precaution which has to be taken to prevent loss of lives and properties.

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Answer:

If a seismic wave has the same frequency as the resonance of a building, the risk of damage is greatest.

Explanation:

A metal sign for a car dealership is a thin, uniform right triangle with base length b and height h. the sign has mass m.

required:
a. what is the moment of inertia of the sign for rotation about the side of length h?
b. if m = 4.40 kg ,b = 1.30 m and h = 1.30 m , what is the kinetic energy of the sign when it is rotating about an axis along the 1.30-m side at 2.40 rev/s ?

Answers

(a) The moment of inertia of the sign for rotation about the side of length h is 1.24 kgm².

(b) The kinetic energy of the sign when it is rotating about an axis is 141.37 J.

Moment of inertia of the triangular sign

The moment of inertia of the sign for rotation about the side of length h is calculated as follows;

I = 2 x ¹/₃M(b/2)²

I = 2 x ¹/₃Mb² x ¹/₄

I = ¹/₆Mb²

I = ¹/₆ x 4.4 x 1.3²

I = 1.24 kgm²

Rotational kinetic energy of the ball

K.E(rot) = ¹/₂Iω²

where;

ω is angular speed = 2.4 rev/s = 2.4 x (2π rad)/s = 15.1 rad/s

K.E(rot) = ¹/₂(1.24)(15.1)²

K.E(rot) = 141.37 J

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A parallel-plate capacitor is connected to a battery. After it becomes charged, the capacitor is disconnected from the battery and the plate separation is increased. What happens to the potential difference between the plates

Answers

Answer:

V = E * d      voltage equals charge on plates * separation

F = E q     force on charge q equals electric field * charge

W = F * d     work done equals force times the distance moved

From the very first equation, the voltage depends on the distance between the plates - while the electric field remains constant

The potential difference will decrease as the separation of the plates increases because W remains constant - work done in moving test charge from one plate to another is constant - voltage is constant

An engineer is working to design a bouncy ball that conserves all of its kinetic and potential energy. She drops the ball to the ground from a height of 3 meters. If it really works, how high should the ball bounce

Answers

If potential energy is conserved or remain the same, the ball will bounce 3 m high.

Conservation of energy

The principle of conservation of energy states energy can neither be created nor destroyed  but can be converted from one form to another.

If we apply the principle of conservation of energy, the total potential energy will remain the same.

P.E(initial) = P.E(final)

Thus, If potential energy is conserved or remain the same, the ball will bounce 3 m high.

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a car takes 125 ft to brake from 60 to 0 mph. Assume that the acceleration of the Prius is constant while braking. Find how long it takes for the Prius to come to a stop. Long problems begin on the next page

Answers

Answer:

2.84 seconds

Explanation:

t = ?

distance = 125

Velocity origianal = 60 m/hr = 88 ft/s

     AVERAGE velocity = 88/2 = 44 ft/s

44 t = 125

t = 125/44 = 2.84 s

How does chemical bonding work?

Answers

Answer:

A chemical bond is a force of attraction between atoms or ions. Bonds form when atoms share or transfer valence electrons. Valence electrons are the electrons in the outer energy level of an atom that may be involved in chemical interactions. Valence electrons are the basis of all chemical bonds.

A student jumps off a sled toward the NORTH after it stops at the bottom of an icy hill. Based on Newton's third law of motion, in which direction will the sled most likely move as the student jumps off?
A. North
B. West
C. East
D. South

Answers

When the student the sled jumps off toward the north , the sled most likely move towards the south.

What is the Newton third law?

According to the Newton third law of motion, action and reaction are equal and opposite. This means that the direction of the reaction force must also be opposite to that of the action.

As such, when the student the sled jumps off toward the north , the sled most likely move towards the south.

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A 20 gram bullet exits the rifle at a speed of 985 m/s. the gun barrel is 0.8 m long. what
was the force during the rocket's launch?

Answers

Hello!

We can use the following relationship:

[tex]\Delta KE = W = F \cdot d[/tex]

ΔKE = Change in Kinetic Energy (J)
W = Work done on object (J)

F = Force (N)

d = distance of which the force is applied to the object. (This is equivalent to the length of the gun barrel, or 0.8 m)

Also, recall that:
[tex]KE = \frac{1}{2}mv^2[/tex]

m = mass of bullet (0.02 kg)

v = velocity of bullet (vfinal = 985 m/s, vinitial = 0 m/s)

We can now solve.

[tex]\Delta KE = F \cdot d\\\\KE_f - KE_i = F \cdot d\\\\\frac{1}{2}(0.02)(985^2) - \frac{1}{2}(0.02)(0^2) = (0.8)F\\\\9702.25 = 0.8F\\\\F = \frac{9702.25}{0.8} = \boxed{12127.813 N}[/tex]

Danielle is doing some diy. she uses a 1.2kw electric saw for 20 minutes and then a 1000w electric sander for half an hour. which job is the more expensive in terms of electricity used - sawing or sanding?

Answers

Based on the calculations, the electric sander (sanding) is the more expensive in terms of electricity used.

How to determine the more expensive?

Mathematically, the quantity of energy consumed by an electrical device can be calculated by using this formula:

Energy consumption = power × time

For the electric saw, we have:

Power = 1.2 kW = 1.2 × 1000 = 1,200 Watts.Time = 20 minutes.

Substituting the given parameters into the formula, we have;

Energy consumption = 1,200 × 20

Energy consumption = 24,000 Joules.

For the electric sander, we have:

Power = 1000 Watts.Time = half-hour = 30 minutes.

Substituting the given parameters into the formula, we have;

Energy consumption = 1,000 × 30

Energy consumption = 30,000 Joules.

Therefore, the electric sander (sanding) is the more expensive in terms of electricity used.

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Answer: sanding

Explanation:

Energy used by saw = power × time = 1,200W × 1,200s = 1,440,000J.

Energy used by sander = power × time = 1,000W × 1,800s = 1,800,000J.

The sander uses more energy.

In the reaction below, how would adding more of product C affect the equilibrium of the system? (2 points) A + B ⇄ C + D Group of answer choices Shift it to the right toward the products. Shift it to the left toward the reactants. Equally create more products and reactants. It would have no effect.

Answers

Answer:

identify the action reaction force in the following cases

a boy walking on the ground

firing a bullet from the gun

a book lying on the table

a boy swimming in the swimming pool

launching of a rocket from the earth surface

Answer:

A Shift it to the right towards the products

Explanation:

If more reactants or products are added to a reaction system at equilibrium, the equilibrium will shift away from what was added to lower its concentration. If a reactant or product was removed from a reaction system at equilibrium, the equilibrium systems will shift to replace some of what was removed.

as the moon phase approaches full we say the Moon is doing what

Answers

As the moon phase approaches full we say the Moon has now completed one half of the lunar month.

What is Lunar month?

This is defined as the time it takes the Moon to pass through all of the phases.

When the moon approaches full then itn has completed one half of the lunar month which is the time taken to form a new moon.

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Which two statements are true of electromagnetic waves?

Answers

Answer:

I think it is A and D

Explanation:

on which factor potential energy depends?​

Answers

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[tex] \sf \red{what \: is \: potential \: energy}[/tex]

[tex]\large{\underline{\underline{\pmb{\frak {\color {blue}{Answer:}}}}}}[/tex]

Potential energy: A type of energy which is possessed by an object due its position.

Example: A raised weight or when we raise any weight is a potential energy.

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[tex] \sf \red{on \: which \: factor \: potential \: energy \: depends}[/tex]

[tex]\large{\underline{\underline{\pmb{\frak {\color {blue}{Answer:}}}}}}[/tex]

Potential energy depends upon three factors. They are:

Mass of an object. Height of an object. Gravitational force upon an object.

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The frequency of a wave does not change as it passes from one medium to another.
What will most likely happen if a light wave moves from the air into a solid?
The wavelength of the light wave will increase.
O The speed of the light wave will decrease
The wavelength of the light wave will remain the same.
O The speed of the light wave will remain the same.
Mark this and return
Save and Exit
Next

Answers

Answer:

The speed of the wave will decrease (due to a shorter wavelength after passing from air to a more dense medium)

A 4.0-W resistor, an 8.0-W resistor, and a 10.0-W resistor are connected in series across an 11-V battery. What is the total voltage drop across the 4.0-W and 8.0-W resistors?

Answers

The answer to this is -6

Just the answer (PLSS)

What mindset do you believe Einstein had while alive and what do you think the key component or constant action was for Einstein throughout his “miracle year”?

Answers

The miracle year for Albert Einstein  was the year 1905 within which he published so many renowned papers.

When was Einstein miracle year?

The miracle year for Albert Einstein  was the year 1905 within which he published so many renowned papers in a short time and became very popular.

His mindset in that year was one that challenged the orthodox explanations and sought to think outside the box.

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Shyam saw a cylindrical copper rod in his store room he realise that it can be used for various purposes it can be used as a flower ways by covering it one side face with any metal it can be used as a conductor or it can be used as a cylindrical box by covering both the side face with metal he measure the radius of the rod with 3% and length of rod with 7% error error percentage is measuring the volume of the cylinderical box is

Answers

The error percentage in measuring the volume of the cylindrical box is 6.3 x 10⁻³ %

Error percentage in measuring the volume of the cylinder

The total error percentage in measuring the volume of the cylinder is calculated as follows;

Volume of cylinder = πr²h

Volume of cylinder = π(0.03r)²(0.07h)

Volume of cylinder = (6.3 x 10⁻⁵)πr²h

Error in measuring the volume = 6.3 x 10⁻⁵ x 100% = 6.3 x 10⁻³ %

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Which of the following would have the smallest coefficient of kinetic friction when slid along your hang.

a Bar of Soap
carpet
sand paper

Answers

A soap bar because the material of a carpet or sandpaper is more rough than a soapbar and thus has a higher coefficient of friction.
Soap is the obvious choice

Direction:choose only the letter of your answer in the box.
A-Everyday
B-4-6 Times a week
C-2-3 Times a week
D-cut Down on

Answers

Answer:

A,

Explanation:

im going to choose a because they should probably still water it so it doesn’t die at least until it grows or gets a little bigger.

What conclusions can you draw about how objects can exert forces on each other even when they are not in contact? write an evidence-based claim

Answers

The conclusions that can be drawn about how objects can exert forces on each other even when they are not in contact is due to Earth's gravitational force as proposed by Newton.

What is a non contact force?

A non contact force is a type that occurs when two objects that are not in contact exerts force on each other.

This type of force is possible because of gravitational force of Earth.

Thus, the conclusions that can be drawn about how objects can exert forces on each other even when they are not in contact is due to Earth's gravitational force as proposed by Newton.

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can anyone solve this quick?​

Answers

Answer:

yes

Explanation:

First show me your or

Where do the three rays in a ray diagram start?

at a focal point on the opposite side of the lens
at three different points on the object
at a focal point on the same side of the lens
at a single point on the object

Answers

The three rays in a ray diagram start from a single point on the object.

What is focal point of a lens?

The focal point of a lens is the point where light rays parallel to the axis are brought to a point.

The focal point is responsible for the converging of light rays coming from the object but the rays do not start here.

Thus, the three rays in a ray diagram start from a single point on the object.

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Answer:

D

Explanation:

You are working with an existing fiber optic installation in your building. you want to know the length of each cable that runs through the walls.which tool should you use

Answers

Answer:

you will use the OTDR tool ti will very much so help

Explanation:

When electricity is “used” or we say that energy is “wasted,” what is actually happening?

Answers

Answer:

Wasted energy is energy that is not usefully transferred or transformed. Energy cannot be made or destroyed. Energy is transformed into a different form that can be used. When energy is transformed or transferred only part of it can be usefully transformed or transferred.

The distance between a charge and the source of an electric field changes from 3 mm to 6 mm. as a result of the change, the electric potential energy of the charge is .

Answers

The electric potential energy of the charge is reduced because it decreases with increase in the distance between charges.

What is electric potential energy?

Electric potential energy can be defined as the energy needed to move a charge against an electric field.

It is calculated using the formula;

U = Kq1 q2 ÷ r

Where Q = electric potential energy

k = Coulombs constant

q1 and q2 = charges

r = distance of separation

Electric potential energy is inversely proportional to the distance of separation of the charges.

If the distance of the charges changes from 3mm to 6mm, then the electric potential energy of the charges is reduced because it decreases with increase in the distance of the charges.

Therefore, the electric potential energy of the charge is reduced because it decreases with increase in the distance between charges.

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Answer: B

Explanation: divided by 2

Which arrow represents the change of state described
above?
M
N
P

Q

Answers

Answer: The Q arrow

Explanation: when the solid is heated it changes into a liquid state first this action represented the Q arrow

Answer:

Its D

Explanation:

Bc i got it right on edge

Throughout the spring and summer, trees take nutrients
from the soil. these nutrients are spread throughout the
tree. in the autumn, some of these nutrients are lost
when the tree drops its leaves.
in a young, rapidly growing forest, scientists calculated
that 23 kilograms of a nutrient are taken up from the soil
by the trees in one year. in the autumn, the leaves that
fall contain 21 kilograms of the nutrient.
18 the trees can be considered a subsystem of the
larger ecosystem. if there are no other inputs or outputs from the trees, how much of the nutrient
is added to the tree subsystem (stored in the trees) in this year?
a. 2 kg
b. 21 kg
c. 23 kg
d. not enough information is available to determine.
(help!!!!) science

Answers

The amount of nutrients added to the tree subsystem in one year after leaf fall is 36 kg of nutrients.

What are plant nutrients?

Plants nutrients are the mineral elements required by plants for their growth and development.

Plant nutrients are mostly obtained from the soil as well as from the atmosphere.

Based on the data provided, each tree will absorb 23 - 21 Kg nutrients = 2 kg of nutrients

18 trees will absorb 18 × 2 = 36 Kg of nutrients.

Therefore, the amount of nutrients added to the tree subsystem in one year after leaf fall is 36 kg of nutrients.

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can someone do this for me please?! Just the answer pls

Answers

4.  The answer is that you will see the same sights as when you are resting.  That is because you and mirror are in rest one relative another.  If your relative speed is 0, it doesn't matter how quickly you both travel in relation to other objects.

5. The relativistic effects will not alter if the speed of light is reduced to 50m/s. According to the principle of constancy (2nd postulate), the upper limit of speed is 50m/s, which will be impossible for material objects to achieve because as the speed of light decreases, the sizes of humans and all other materials decrease as well, decreasing our relativistic velocity and thus making c=50m/s unattainable for material objects, and thus the relativistic effects will remain unchanged. A pedestrian must use caution when crossing the roadway. Let's assume you see a car arriving at 60 kilometers per hour, or 16.666 meters per second, from a distance of 100 meters. It'll take 6 seconds to arrive, giving you plenty of time to cross the street. Because the light reflected from the car to your eyes left the car two seconds ago, the car will reach at your location in four seconds and hit you (if the car is travelling in the lane on the far side of the road). It looks to you that approaching automobiles traveling at the legal limit are traveling at a speed of 100 / 4 = 25 m/s, which is 50% faster than the genuine speed of 16.666 m/s. When considering whether or not it is safe to cross the road, one would quickly become accustomed to this.

6.

4. if the experiment had been repeated with frequencies 10 times lower than those in table 5.2,
what effect would that have on the experiment? (1)

Answers

If the experiment had been repeated with frequencies 10 times lower than those in table 5.2, then Vc will increase 10 times to the values given in the table.

What is frequency?

It is the number of oscillations per second of the sinusoidal wave.

Vc is the voltage across the capacitor and Xc is the capacitive reactance.

Xc = - 1/2πfC

where f is the frequency and C is the capacitance of the capacitor.

If the frequency is lowered, the potential difference will increase because frequency is inversely proportional to the voltage.

Thus, Vc will increase by lowering the frequency by 10 times.

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Point T is on line segment S U SU . Given S T = 6 ST=6 and T U = 10 , TU=10, determine the length S U . SU Hello, can someone help with this problem?The graph shows the probability distribution of a random variable.What is the value of P(4X8)?0.400.450.500.55 Base your answer to this question on the illustration below and your knowledge of social studies. The Bloody Massacre Perpetrated in King Street, March 5th 1770, Paul Revere (1770) What was Paul Revere's purpose for this illustration?A. To show the cruelty of the British and gain support for the revolutionary movement B. To inform British citizens about the situation in America C. To warn the colonists what could happen if they continued to protest D. To illustrate the superior weapons that the British had over the colonists. The scatter plot below represents the weight of a bunch of bananas based on the number of bananas in the bunch. A trend line shows the relationship.About how many pounds does the trend line predict that a bunch with 9 bananas will weigh? What is the purpose of this illustration, and how is it related to the contributions of georgian civilians during the war? o a because the stability of the american economy was threatened by the war, the illustration encouraged americans to increase spending on domestic goods. o b. because industrial production in europe was threatened by the war, the illustration encouraged american laborers to increase production to support the war effort. o c. because agricultural production was threatened by the war, the illustration encouraged americans to plant victory gardens to grow food for their families. o d. because democracy and freedom were threatened by the war, the illustration encouraged americans to buy government bonds to finance the war effort. Find the area of the circle. A circle has a diameters of 17 centimeters. Pi value is 3.142 What is the density of an object if its mass is 10 g and a volume of 2 mL? Point A is located at (-2, -6) and is translated 4 units up. What are the coordinates of point A'?1. (-2, -2)2. (2, -6)3. (-6, -6)4. (-2, -10) Which is the range of the function f(x) = (9)?O all real numbersO all real numbers less than 0O all real numbers greater than 0O all real numbers less than or equal to 0 transportation of seedling is not done for1 rice 2 maize 3 onion 4 brinjal You purchase a new car today.the value of that car depreciates based on the function f(t)=12,000(0.96)^t, where t is measured in years after purchase. How much is the car worth after 3/2 years, rounded to the nearest dollar For a college student who needs to buy an $80 textbook, the money she received from her parents for the purchase of school supplies would be used as a: EASY POINTS Which of the following is best defined as segments that intersect at a rightangle?A. Intersecting segmentsB. Perpendicular segmentsC. Parallel segmentsD. Coplanar segments read the passage from"The Chrysanthemums," by John Steinbeck.Then answer the question.Based on the passage, identify a possible theme from "TheChrysanthemums."OA. Ranching is not difficult work.B. Loneliness drives people to do silly things.C. Society wastes the skills of intelligent women.OD. It is good to follow one's instincts. When studying personality traits, someone who is quiet, reserved, and withdrawn will score low on the ________ trait. Why is science boring evaluate 10 + 84 - 12 IF G=(x)=x^2 find the value of g(2).g(3) which expression represents the following calculation? subtract 1.9 from the product of 7.4 and 3. A (7.4 + 3) - 1.9 B 7.4 x (3 - 1.9) C (7.4 x 3) - 1.9 D (7.4 x 1.9) - 3 PLSSS HELPP Match the value to the correct image. Not all values will be used.Find the approximate surface area of each right regular prism.arrowRightarrowRightarrowRight