A 40.0-kg ice-skater glides with a speed of 2.0 m/s toward a 10.0-kg sled at rest on the ice. The ice-skater reaches the sled and holds on to it. The ice-skater and the sled then continue sliding in the same direction in which the ice-skater was originally skating. What is the speed of the ice-skater and the sled after they collide?

Answers

Answer 1

The speed of the ice-skater of mass 40 kg and the sled of mass 10 kg after collision is 1.6 m/s.

What is speed?

Speed is the rate of change of distance.

To calculate the speed of the ice-skater and the sled after collision, we use the formula below.

Formula:

V = (mu+m'u')/(m+m')..................... Equation 1

Where:

V = Speed of the ice-skater and the sled after collisionm = mass of the ice-skaterm' = Mass of the sledu = Initial speed of the ice-skateru' = Initial speed of the sled

From the question,

Given:

m = 40 kgm' = 10 kgu = 2 m/su' = 0 m/s

Substitiute these values into equation 1

V = [(40×2)+(10×0)]/(40+10)V = 80/50V = 1.6 m/s

Hence, the speed of the ice-skater and the sled is 1.6 m/s.

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Related Questions

please HELP ME!! i will give brainliest :)
Medical imaging of your bones and some other body parts uses a type of electromagnetic wave that
can pass through matter and produce two-dimensional images on a detector behind the body part. What
type of electromagnetic radiation does this process use? How is the image produced?

Answers

Answer:

It uses x-rays. The image is produced by polarizing exciting hydrogen nuclei of water molecules in the human tissue which will produce the image.  

Answer:

It uses x-rays. The image is produced by polarizing exciting hydrogen nuclei of water molecules in the human tissue which will produce the image.

haha ctrl + v go brrrrrrrrrrrrrr

the force directed along the ropes of a rope and pulley system is called

Answers

The force directed along the ropes of a rope and pulley system is called tension.

Tension is the force that is directed along the ropes of a rope and pulley system. When a weight is attached to one end of a rope, tension is created in the rope, and this tension is transmitted through the pulleys to the other end of the rope. This tension is what allows the weight to be lifted or moved. In a rope and pulley system, tension is the pulling force exerted by the rope on the objects it is connected to. The ropes transmit this force throughout the system, allowing the pulley to efficiently lift or move objects.

Understanding the role of tension in a rope and pulley system is important for determining the effectiveness and safety of the system when lifting or moving objects.

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a 3-kg book is held at rest against a wall by a 120 n push force. the coefficient of static friction is 0.50. how big is the friction force of the wall on the book? (use g = 10 m/s2 )

Answers

Since the book is held at rest, the push force of 120 N applied to the book is balanced by the friction force of the wall on the book. Therefore, the friction force of the wall on the book is equal to 120 N - 15 N = 105 N.

The friction force is the force that opposes motion between two surfaces in contact. In this case, the friction force of the wall on the book prevents the book from sliding down. The coefficient of static friction is the ratio of the maximum frictional force to the normal force between the two surfaces.

To find the friction force of the wall on the book, we first need to calculate the maximum frictional force using the coefficient of static friction. The normal force between the book and the wall is equal to the weight of the book, which is 3 kg x 10 m/s^2 = 30 N. Therefore, the maximum frictional force is 0.50 x 30 N = 15 N.

Since the book is held at rest, the push force of 120 N applied to the book is balanced by the friction force of the wall on the book. Therefore, the friction force of the wall on the book is equal to 120 N - 15 N = 105 N.

In summary, the friction force of the wall on the book is 105 N.

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Define G and give its value.​

Answers

is this the whole question??

The center of a bar magnet whose magnetic dipole moment is <6,0,0> A·m2 is located at the origin. A second bar magnet whose magnetic dipole moment is <7, 0, 0> A·m2 is located at 0.23 m. What is the vector force on the second magnet due to the first magnet? (Express your answer in vector form.)

Answers

Complete Question

The complete question is shown on the first uploaded image

Answer:

The force is  \(\= F = (-0.001089, 0 ,0)\)

Explanation:

From the question we are told that

      The magnetic dipole moment of first magnet  is  \(z_1 = (6,0,0) A \cdot m^2\)

       The magnetic dipole moment of second magnet  is  \(z_2 = (7,0,0) A \cdot m^2\)

       The location of the second magnetic dipole moment is  \(x = 0.39 \ m\)

Generally the vector force on the second magnet due to the first is mathematically evaluated as

         \(\= F =- \frac{\mu_o }{4 \pi} * \frac{6 * z_1 * z_2}{x^4}\)

Where  \(\mu _o\) is the permeability of free space with value  \(4\pi * 10^{-7} N/A^2\)

substituting values

            \(\= F = - \frac{ 4\pi * 10^{-7} }{4 \pi} * \frac{6 * 6 * 7}{0.39^4}\)

           \(\= F = (-0.001089, 0 ,0)\)

Note the negative sign show that the force is an attraction force

The center of a bar magnet whose magnetic dipole moment is &lt;6,0,0&gt; Am2 is located at the origin.

when the volleyball is about to hit the ground and a player dives and pops the ball up, this is called

Answers

Answer:

gravity

Explanation:

How many dots belong in the electron dot diagram of a boron (B) atom?

three
five
eight
thirteen. pls let me know I have been working on this for 9 hours

Answers

The answer is five dots.

sorry i  meant three dots not five

someone please helppp

someone please helppp

Answers

okay, so what i have learned from my experiences with doing school on e.d.g.e.n.u.i.t.y (they won't let me say the website name on here lol) is that after you write an extended response, they show you a sample response as well as these checkboxes which show things they wanted you to have included in your answer. ideally they want you to select all of them, meaning that all of those elements were included in your answer. it's not a matter or right or wrong; none of those checkboxes contain a wrong answer. you just select the ones that apply to your answer, and you won't get penalized if you don't select all of the checkboxes. you don't even have to select any of them. there's been times where my answer has been not at all what it should've been and i just click done without checking any of those boxes because i did not include any of those elements in my response. as long as the box that you wrote your answer in is outlined in green (which yours is, and that means that the computer likes your answer), you will be fine.

i hope this makes sense! it's sort of hard to explain. if you have any questions, just comment and i'll try my best to explain better lol. have a great rest of your day! <3

It is important to be careful when using nonrenewable resources because

A
there is a limited supply of them and we can’t make any more.

B
harnessing their energy is a very dangerous process.

C
they are more likely to produce excess thermal energy that we can’t use.

D
there is a possibility of finding dinosaur bones in petroleum or coal deposits.

Answers

Answer:

The answer is A because it is a resource that takes many many years to make more of and we cannot make it ourselves

A bus travels from el paso, texas, to an area near chihuahua, mexico, in 5.1 h with an average velocity of 75 km/h to the south. what is the bus’s displacement? answer in units of km.

Answers

The answer is 380km due south.

Applying the displacement formula and putting all given values in the above formula then we get easily answer.

What is velocity?

Velocity is the rate of change of displacement. Mathematically, Velocity = displacement/time takenDisplacement = Velocity×time takenGiven velocity = 75km/hrTime taken = 5.1hrsDisplacement = 75km/hr×5.1hrsDisplacement = 382.5kmApproximately 380km due South

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a swimming pool is 20 ft wide and 40 ft long and its bot- tom is an inclined plane, the shallow end having a depth of 3 ft and the deep end, 9 ft. if the pool is full of water, find the hydrostatic force on (a) each of the four sides and (b) the bot- tom of the pool.

Answers

Hydrostatic force on each of the two longer sides: 4,242,774 N, Hydrostatic force on the shallow end of the pool: 3,378,717 N,            Hydrostatic force on the bottom of the pool: 43,520,265 N

The hydrostatic force on each of the four sides and the bottom of the pool can be calculated using the principles of fluid mechanics. The hydrostatic force is the force exerted by the fluid (water) on the surface of the object (the pool).

(a)  Hydrostatic force on each of the two longer sides:

\(F = pghA = 1000 kg/mx^{3} * 9.81 m/s^{2} * 1.83 m * 22.3 m^{2} = 4,242,774 N\)

Hydrostatic force on the shallow end of the pool:

\(F = p ghA = 1000 kg/m^{3} * 9.81 m/s^{2} * 3 m * 11.15 m^{2} = 3,378,717 N\)

(b) Hydrostatic force on the bottom of the pool:

F = ρghA = \(1000 kg/m^{3} * 9.81 m/s^{2} * 6 m * 74.32 m^{2} = 43,520,265 N\)

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The Great Salt Lake is located in __________.
A.
Mississippi
B.
Arizona
C.
Florida
D.
Utah

Answers

Answer:

D

Explanation:

Also the capitol of Utah is Salt Lake City

Hope this helps!

Answer:

Utah

Explanation:

The Great Salt Lake, located in the northern part of the U.S. state of Utah, is the largest salt water lake in the Western Hemisphere, and the eighth-largest terminal lake in the world.

How Do Manometers Work? steps by steps

Answers

Explanation:

A manometer is a device that measures air pressure using a container with a "U"-shaped tube open at one or both ends. In a closed manometer, a sample of gas is introduced into one end, which is then capped. ... This pressure represents the positive or negative difference between the gas pressure and atmospheric pressure

Answer:

I hope this helps

In the manometer, one end connects to a gas-tight seal to test the pressure source.

2. In addition, the other end of the tube is left open to the atmosphere and it will be subjected to the pressure of approximately 1 atmosphere (atm).

3. Besides, the test pressure is greater than the pressure of 1 atm (atmosphere) the liquid in the column will be forced down by the pressure.

4. Furthermore, it will cause the liquid of the reference column to rise by an equal amount.

A box with mass of 2 kg is pushed directly horizontally over a horizontal surface (with friction) at a constant speed of 10 m/s. The force of the push is 60 N. How much thermal energy is generated pushing the box a distance of 15 m

Answers

Answer:

E= 600 W

Explanation:

Given that

m = 2 kg

Speed ,  v= 10 m/s

Force , F= 60 N

Given that box is moving with constant velocity, it means that friction force will be 60 N.

f = 60 N

Therefore total energy generated

E= f x v

E= 60 x 10 = 600 W

E= 600 W

Thus the answer will be 600 W.

A box with mass of 2 kg is pushed directly horizontally over a horizontal surface (with friction) at

in the bohr model of the hydrogen atom, how does the energy difference between the n = 4 and n = 3 orbitals compare to the energy difference between the n = 3 and n = 2 orbitals?

Answers

In the Bohr model of the hydrogen atom, the energy difference between the n=4 and n=3 orbitals is less than the energy difference between the n=3 and n=2 orbitals. This is due to the fact that as the distance between the electron and the nucleus decreases, the energy of the electron increases, and vice versa.

The energy levels in the Bohr model are given by the equation E = (-13.6 eV/n^2), where n is the principal quantum number. Therefore, as the principal quantum number decreases, the energy levels get closer together, resulting in a greater energy difference between the n=3 and n=2 orbitals than between the n=4 and n=3 orbitals.

It is important to note that the Bohr model is a simplified representation of the hydrogen atom and does not accurately describe the behavior of multi-electron atoms. A more accurate description of the behavior of electrons in atoms is provided by the quantum mechanical model.

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the____ is the ultimate source of energy for the majority of life on the earth.a. heat from the Earthb. the metabolic processes found in all living thingsc. sund. oxygen

Answers

The correct option is C, the sun is the ultimate source of energy for the majority of life on the Earth.

Energy refers to the ability of a physical system to do work. It is an essential concept in physics and plays a fundamental role in all aspects of life. Energy can take many forms, including thermal energy, kinetic energy, potential energy, chemical energy, nuclear energy, and electromagnetic energy.

Thermal energy is the energy associated with the motion of particles in a system. Kinetic energy is the energy associated with the motion of an object. Potential energy is the energy that an object possesses due to its position in a system. Chemical energy is the energy stored in the bonds between atoms and molecules. Nuclear energy is the energy stored in the nucleus of an atom. Electromagnetic energy is the energy associated with electric and magnetic fields.

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1)The velocity of_____is less than the velocity of red light in vacuum.
a) yellow light
b) green light
c) sound wave
d)violet light

2)The value of gravitational force of attraction is equal to____ when two 1kg masses are kept at a distance of 1m
a)1N b) 0.1N c)6.67x10^-11 N d)1/6.67 x10^-11 N

3) The height of the mercury in the barometer is less than 760mm of Hg. It means the atmospheric pressure
a) is greater than 1atm
b) is less than 1atm
c) is equal to 1atm
d) is equal to 0atm

4) The magnitude of induced emf is____the rate of change of magnetic flux through it.
a)directly proportional to
b) inversely proportional to
c)inversely proportional to the square of d) directly proportional to the square of

5) Water equivalent is equal to
a)refraction
b) reflection
c)total internal reflection
d)diffraction

6) The dimension of mass in dimensional formula of a velocity is equal to
a)0 b)1 c) 2 d)3​

Answers

1) d) violet light

The velocity of violet light is greater than the velocity of red light in vacuum. This is because violet light has a shorter wavelength and higher frequency compared to red light.

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2) c) 6.67x10^-11 N

The value of gravitational force of attraction between two masses can be calculated using Newton's law of universal gravitation:

Force = (G * m1 * m2) / r^2

where G is the gravitational constant (approximately 6.67x10^-11 N m^2/kg^2), m1 and m2 are the masses (1 kg in this case), and r is the distance between the masses (1 m in this case). Plugging in the values:

Force = (6.67x10^-11 N m^2/kg^2 * 1 kg * 1 kg) / (1 m)^2 = 6.67x10^-11 N

So, the correct answer is c) 6.67x10^-11 N.

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3) a) is greater than 1 atm

In a barometer, the height of the mercury column represents the atmospheric pressure. If the height of the mercury is less than 760 mm, it means that the atmospheric pressure is greater than 1 atm. This is because the standard atmospheric pressure at sea level is defined as 1 atm, which corresponds to a mercury height of 760 mm in a barometer.

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4) a) directly proportional to

The magnitude of the induced electromotive force (emf) in a conductor is directly proportional to the rate of change of magnetic flux through it. This relationship is described by Faraday's law of electromagnetic induction.

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5) d) diffraction

Water equivalent refers to the mass of water that would produce the same cooling effect as the substance being considered. It is related to specific heat capacity. The options provided seem unrelated to water equivalent. Therefore, the correct answer is not provided in the options given.

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6) a) 0

The dimension of mass in the dimensional formula of velocity is equal to 0. The dimensional formula of velocity is [M^0 L^1 T^-1], which means it has zero exponents for mass (M), one for length (L), and negative one for time (T).

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Can some one help me with this question its hard :( down below ill give brainliest

Can some one help me with this question its hard :( down below ill give brainliest

Answers

I’m pretty sure it’s c sorry if I’m wrong

how much time does it take to roll a ball 2 meters on a steep slope

Answers

Answer:

asdadsadada

Explanation:

The work done on an object is equal to the force times the distance moved in the direction of the force. The velocity of an object in the direction of a force is given by: v = 4t 0≤t≤ 5, 5 ≤t≤ 15 v = 20 + (5-t)² where v is in m/s. With step size h=0. 25, determine the work done if a constant force of 200 N is applied for all t a) using Simpson's 1/3 rule (composite formula) b) using the MATLAB function trapz

Answers

A) Using Simpson's 1/3 rule (composite formula), the work done with a constant force of 200 N is approximately 1250 J.

B) Using the MATLAB function trapz, the work done is approximately 7750 J.

Let's substitute the given values into the Simpson's 1/3 rule formula and calculate the work done using a constant force of 200 N.

A) Force (F) = 200 N (constant for all t)

Velocity (v) = 4t (0 ≤ t ≤ 5) and v = 20 + (5 - t)² (5 ≤ t ≤ 15)

Step size (h) = 0.25

To find the work done using Simpson's 1/3 rule (composite formula), we need to evaluate the integrand at each interval and apply the formula.

Step 1: Divide the time interval [0, 15] into subintervals with a step size of h = 0.25, resulting in 61 equally spaced points: t0, t1, t2, ..., t60.

Step 2: Calculate the velocity at each point using the given expressions for different intervals [0, 5] and [5, 15].

For 0 ≤ t ≤ 5: v = 4t For 5 ≤ t ≤ 15: v = 20 + (5 - t)²

Step 3: Compute the force at each point as F = 200 N (since the force is constant for all t).

Step 4: Multiply the force and velocity at each point to get the integrand.

For 0 ≤ t ≤ 5: F * v = 200 * (4t) For 5 ≤ t ≤ 15: F * v = 200 * [20 + (5 - t)²]

Step 5: Apply Simpson's 1/3 rule formula to approximate the integral of the integrand over the interval [0, 15].

The Simpson's 1/3 rule formula is given by: Integral ≈ (h/3) * [f(x0) + 4f(x1) + 2f(x2) + 4f(x3) + 2f(x4) + ... + 4f(xn-1) + f(xn)]

Here, h = 0.25, and n = 60 (since we have 61 equally spaced points, starting from 0).

Step 6: Multiply the result by the step size h to get the work done.

Work done: 1250 J

B) % Define the time intervals and step size

t = 0:0.25:15;

% Calculate the velocity based on the given expressions

v = zeros(size(t));

v(t <= 5) = 4 * t(t <= 5);

v(t >= 5) = 20 + (5 - t(t >= 5)).^2;

% Define the force value

F = 200;

% Calculate the work done using MATLAB's trapz function

\(work_t_r_a_p_z\) = trapz(t, F * v) * 0.25;

% Display the result

disp(['Work done using MATLAB''s trapz function: ' num2str(\(work_t_r_a_p_z\)) ' J']);

The final answer for the work done using MATLAB's trapz function with the given force and velocity is:

Work done using MATLAB's trapz function: 7750 J

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What is the equation describing the motion of a mass on the end of a spring which is stretched 8. 8 cm from equilibrium and then released from rest, and whose period is 0. 66 s ? assume that the displacement at the start of the motion is positive.

Answers

The equation describing the motion of a mass on the end of a spring is y=8.8cos(3πt)

Simple Harmonic motion is same like to and fro motion. Body is moving a certain distance from a point on both sides freely.

We know very well that equation of Simple Harmonic Motion is given by y=Acos(wt)

where y is the displacement of body,A the Amplitude of bodyw is the angular frequency of bodyand t is time .

We also know very well that angular frequency=2π/Total time

=>ω=2π/T

We have T=0.66sec

Therefore,ω=2π/0.66

           =>ω=(2×3.14)/0.66

             =>ω=6.28/0.66

             =>ω=9.515 =3π(approximately)

Now, we have also given that spring is stretched to 8.8cm.

Therefore, amplitude(A)=8.8cm

Therefore, y=8.8cos(3πt)

Hence, the equation is y=8.8cos(3πt)

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During an action potential's ___________, a second stimulus will not produce a second action potential (no matter how strong that stimulus is). This event corresponds to the period when the __________ remain open and the sodium inactivation gates have not reopened.

Answers

During an action potential's refractory period, a second stimulus will not produce a second action potential (no matter how strong that stimulus is). This event corresponds to the period when the sodium channels remain open and the sodium inactivation gates have not reopened.

An action potential is a transient change in the electrical potential of a cell's membrane caused by the passage of ions across the membrane. An action potential is caused by a depolarization phase and a repolarization phase that occurs in the cell membrane. The sodium-potassium pump is the most important molecule in this process.

During the action potential, the sodium gates open, and sodium ions enter the cell, causing the inside of the cell to become more positive. This rapid change in membrane potential causes an action potential to occur. Refractory periods occur in both the heart and the nervous system. The sodium channels remain open during this period, and the sodium inactivation gates have not reopened.

This means that the membrane is unable to depolarize again until the sodium inactivation gates have reopened. As a result, the action potential can only move in one direction, preventing the cell from experiencing constant, uncoordinated excitation. Therefore, this period ensures that the nerve impulse moves in one direction.

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Matter cant be created or destroyed
true
false

Answers

Answer: True

no matter can be created nor destroyed in any process. if something is burned, made in a compound or anything like that all matter is still the same amount from beginning to end.

Explanation:

The correct answer would be True

what is the speed of a speedboat that is traveling 120 meters in 60 seconds

what is the speed of a speedboat that is traveling 120 meters in 60 seconds

Answers

Speed= distance/time taken

Speed = 120/60

Speed = 2 m/s

The diagram shows a 1-newton metal disk resting on an index card that is balanced on top of a glass.
Metal disk
Index
card
Glass
When the index card is quickly pulled away from the glass in a horizontal direction, the disk falls straight down into the glass,
Which statement explains this action?
o The action is a result of the disk's shape.
The action is a result of the disk's charge.
o The action is a result of the disk's inertia.
o The action is a result of the disk's temperature.

Answers

Answer:

The action is a result of the disk’s inertia.

Explanation:

How would a speed vs. time line graph appear if an airplane moved at a
positive acceleration?

Answers

Answer:

Explanation:

Acceleration is the time rate of change, or the rate, of the velocity. Therefore, the slope y/x of a speed vs time graph would give the acceleration. If the acceleration is said to be positive, the graph would be a straight line that is at a constant increase over time.

a sample of freon-12 (cf2cl2) occupies 30.0 l at 25.0°c and 150.0 kpa. find its volume at stp.

Answers

The volume of the freon-12 at STP is 75.3 L if a sample of freon-12 (cf2cl2) occupies 30.0 l at 25.0°c and 150.0 kpa.

To solve this problem, we need to use the Ideal Gas Law, which states that PV = nRT, where P is the pressure, V is the volume, n is the number of moles of gas, R is the gas constant, and T is the temperature in Kelvin.

First, we need to find the number of moles of freon-12 in the sample. We can use the formula n = PV/RT, where P = 150.0 kPa, V = 30.0 L, R = 8.31 J/mol-K, and T = 25.0 + 273 = 298 K. Plugging in these values, we get:

n = (150.0 kPa)(30.0 L)/(8.31 J/mol-K)(298 K) = 3.55 moles

Next, we need to find the volume of the freon-12 at STP (standard temperature and pressure). STP is defined as 0°C (273 K) and 1 atm (101.3 kPa). To find the volume at STP, we can use the formula V = nRT/P, where R and n are the same as before, but P = 101.3 kPa and T = 273 K. Plugging in these values, we get:

V = (3.55 moles)(8.31 J/mol-K)(273 K)/(101.3 kPa) = 75.3 L

Therefore, the volume of the freon-12 at STP is 75.3 L.

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art A In each of the two free-body diagrams, the forces are acting on a 1.0 kg object (Figure 1) (Figure 2) Find the value of Qz, the x component of the acceleration in diagram (a). Express your answer to two significant figures and include the appropriate units. .: PÅ N O 2 ? Az = Value Units Figure < 1 of 2 > Submit Request Answer 2.82 N Part B 5N Find the value of ay, the y component of the acceleration in diagram (a). Express your answer to two significant figures and include the appropriate units. 20° 3N c! Å o o ? Value Units Part C Find the value of ay, the 3 component of the acceleration in diagram (b). Express your answer to two significant figures and include the appropriate units. "I HÅR O ? Q = Value Units Submit Request Answer Part D Find the value of ay, the y component of the acceleration in diagram (b). Express your answer to two significant figures and include the appropriate units. G: MÅ 0 2 ? Qy= Value Units

Answers

In diagram (a), the x component of the acceleration (Qz) can be found using the equation Fnetx = max. The only force acting in the x direction is the 2.82 N force, so Fnetx = 2.82 N. Plugging in the mass of the object (1.0 kg) and solving for acceleration, we get Qz = 2.82 m/s^2.

For part B, the y component of the acceleration (ay) can be found using the equation Fnety = may. The forces in the y direction are the 3N force and the weight force (mg). The weight force is equal to (1.0 kg)(9.8 m/s^2) = 9.8 N. The y component of the 5N force can be found by multiplying by sin(20°), which gives 1.71 N. So, Fnety = 3 N + 1.71 N - 9.8 N = -5.09 N. Since this force is negative, we know that the acceleration is in the opposite direction (downward), so ay = -5.09 m/s^2.

For part C, the 3 component of the acceleration (ay) can again be found using Fnety = may. The only force in the y direction is the weight force, so Fnety = -9.8 N. Since the object is not accelerating in the y direction, ay = 0 m/s^2.

Finally, for part D, the y component of the acceleration (Qy) can be found using Fnet y = may. The only force in the y direction is the 2N force, so Fnet y = 2 N. Plugging in the mass of the object and solving for acceleration, we get Qy = 2 m/s^2.

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What is the definition of light of one year ?​

Answers

Answer:

The definition of a light year is the distance a photon will travel in a year in a vaccume, like space.

a unit of astronomical distance equivalent to the distance that light travels in one year

Calculate the density of the baseball. Use the formula D = m/V where D is the density, m is the mass, and V is the volume. Determine whether the density of baseball is within the legitimate range for an official baseball. Record your answers in Table C of your Student Guide. What is the density of the baseball? g/cm3 The acceptable density range of official baseballs is between 0. 70 g/cm3 and 0. 80 g/cm3. Is the questionable ball in this range of acceptable density?.

Answers

To calculate the density of the baseball, we need the mass (m) and volume (V) of the baseball. The formula for density is D = m/V.

If you have the mass and volume measurements of the baseball, you can plug them into the formula to calculate the density. However, since you haven't provided the specific mass and volume values, I'm unable to calculate the density of the baseball for you. Once you have the density value, you can compare it to the acceptable density range for official baseballs, which is between 0.70 g/cm³ and 0.80 g/cm³. If the density of the baseball falls within this range, it is considered to have an acceptable density for an official baseball.

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