A T-shirt cannon can shoot a 0.085 kg T-shirt at nearly 30 m/s. The T-shirt cannon has a mass of 33 kg. If the initial net momentum is at 0 then what is the velocity of the recoil of the T-shirt cannon?

Answers

Answer 1

Answer:

Approximately \(0.077\; {\rm m\cdot s^{-1}}\) (assuming that external forces on the cannon are negligible.)

Explanation:

If an object of mass \(m\) is moving at a velocity of \(v\), the momentum \(p\) of that object would be \(p = m\, v\).

Momentum of the t-shirt:

\(\begin{aligned} p(\text{t-shirt}) &= m(\text{t-shirt}) \, v(\text{t-shirt}) \\ &= 0.085\; {\rm kg} \times 30\; {\rm m \cdot s^{-1}} \\ &= 2.55 \; {\rm kg \cdot m \cdot s^{-1}} \end{aligned}\).

If there is no external force (gravity, friction, etc.) on this cannon, the total momentum of this system should be conserved. In other words, if \(p(\text{cannon})\) denote the momentum of this cannon:

\(p(\text{t-shirt}) + p(\text{cannon}) = 0\).

\(p(\text{cannon}) = -p(\text{t-shirt}) = -2.55\; {\rm kg \cdot m \cdot s^{-1}}\).

Rewrite \(p = m\, v\) to obtain \(v = (p / m)\). Since the mass of this cannon is \(m(\text{cannon}) = 33\; {\rm kg}\), the velocity of this cannon would be:

\(\begin{aligned} v(\text{cannon}) &= \frac{p(\text{cannon})}{m(\text{cannon})} \\ &= \frac{-2.55\; {\rm kg \cdot m \cdot s^{-1}}}{33\; {\rm kg}} \\ &\approx 0.077\; {\rm m \cdot s^{-1}}\end{aligned}\).


Related Questions

3 A man pushes a 25 kg pram up a slope as shown in the diagram.
25kg
150 N
20 m
10m
He pushes with a force of 150 N along the 20 m slope. How much energy
sted dissipated as thermal energy?
A 250 J
B 500 J
C 2000 J
D 2500 J

Answers

500 energy sted dissipated as thermal energy.

In the question total work done is

W= force x displacement

= 150x 20

=3000 J

But we know that work is done against weight and against frictional force

Work done against friction is dissipated as thermal energy

So resolving g to components

g sin(Q) will be parallel to inclined plane

So we have work done = mg sinQ x S

= 25 x 10 x 10/20

=2500 J

So thermal energy dissipation = 3000-2500

=500 J

What is thermal energy?

Thermal energy is the energy contained inside a system that is accountable for its temperature. Heat is the passage of thermal energy. Thermodynamics is a whole field of physics that deals with how heat is transmitted between various systems and how work is done in the process.

Hence B  is a correct answer.

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A lunar lander is descending toward the moon's surface. Until the lander reaches the surface, its height above the surface of the moon is given by y(t)=b−ct+dt2, where b = 710 m is the initial height of the lander above the surface, c = 64.0 m/s , and d = 1.01 m/s2What is the initial velocity of the lander, at t = 0 and just before it reaches the lunar surface?

Answers

The initial velocity of the lander, at t = 0 and just before it reaches the lunar surface, is 64 m/s. This is because the velocity of the lander is given by c = 64 m/s.

What is velocity?

Velocity is a vector quantity that describes the rate of change of an object's position with respect to time. It is the magnitude of an object's displacement per unit of time, expressed as a speed in a specific direction.

Velocity is calculated by dividing the change in position (displacement) by the time interval in which the displacement occurs. It has units of distance per time (e.g. meters per second). The direction of velocity is the same as the direction of displacement, and its magnitude represents the speed of an object's motion.

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the change in resistance of a metallic conductor at temperature below 0°C is

A. Linear
B. Non linear
C. Curve
D. Curvilinear​

Answers

Answer:

A: Linear

Explanation:

Formula for Resistance of a metallic conductor is given as;

R = R_o(1 + αΔT)

Where;

R_o is the original resistance

R is the final resistance after change in temperature

ΔT is change in temperature

α is coefficient of linear expansion

Now, from the formula given, we can see that the change in resistance is directly proportional to the change in temperature.

Thus, the higher the final temperature, the more the change in resistance and the lower the final temperature, the lesser the change in resistance.

Thus, for temperature less than zero, since the change is resistance is directly proportional to the temperature, it means it follows a linear relationship.

EARTH AND SPACE SCIENCE! PLEASE HELP! Question: Tree with unknown height has a shadow that is 4200 centimeters long while a meter stick has a shadow when held vertical that 325 centimeters long. Identify below, the height of the tree in centimeters. The height of the meter stick is 100 centimeters(cm).
Potential answers:
a.) 1292 cm
b.) 1520 cm

Answers

Therefore, the answer is (a) 1292 cm is stick has a shadow when held vertical.

What causes the shadow's location to change?

Additionally, since light moves in a straight path from its source to an object, the shadow of the object moves with the light source.

Let's use h centimetres to represent the tree's height. We have the following percentage in the problem:

height of tree/length of its shadow = height of meter stick/length of its shadow

or

h / 4200 = 100 / 325

We can solve this proportion for h:

h = 4200 * 100 / 325 = 1292.31 cm

Rounding to the nearest centimeter, we get:

h ≈ 1292 cm

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A cat pushes a porcelain statue off a bookshelf with a speed of 0.5 m/s and it smashed on the floor 0.85 sec later.

Answers

Answer:

167?

Explanation:

i added both

how far from the lens is the image of the house if the house is 16 ft from the thin convex lens with a focal length of 8 ft

Answers

This question involves the concepts of the thin lens formula, focal length, and image distance.

The image of the house is "16 ft" away from the lens.

According to the thin lens formula:

\(\frac{1}{f}=\frac{1}{p}+\frac{1}{q}\)

where,

f = focal length = 8 ft

p = object distance = 16 ft

q = image distance = ?

Therefore,

\(\frac{1}{8\ ft}=\frac{1}{16\ ft}+\frac{1}{q}\\\\\frac{1}{q}=\frac{1}{8\ ft}-\frac{1}{16\ ft}\\\\\frac{1}{q}=0.125\ ft^{-1}-0.0625\ ft^{-1}\\\\q=\frac{1}{0.0625\ ft^{-1}}\\\\\)

q = 16 ft

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Using what you already know about newton’s law’s explain how the force applied to the ball by the pitcher and the force applied to the ball by the bat will impact yours ability ti hit a home run

Answers

An item at rest will remain at rest, and an object in motion will continue to move in a straight path at a constant speed, according to the first law of motion, commonly known as the law of inertia.

How is baseball impacted by Newton's first law?

Newton's laws of motion govern how a baseball moves as a result of being thrown or struck. According to Newton's first law, a moving ball will continue to move in a straight line until other forces are acting on it.

What happens when a baseball bat strikes a ball?

The ball is severely distorted by the enormous force the bat applies to it ball being struck. The average force acting during the bat-ball collision is therefore about two tons, with a peak force of nearly four tons, during the 0.7 millisecond contact time. There's a lot of force there!

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1. What is matter?
2. What are the three phases of matter?
3. Describe how gas particles move.
4. What is temperature?
5. The slower the particles, the ______________ the temperature.
6. A change in temperature causes what?
7. What is the difference between boiling and evaporation?
8. What is sublimation?
9. Name the three ways thermal energy is transferred.
10. Sunburn is an example of what?
11. Give an example of convection.
12. What is conduction?
13. What is the difference between conductors and insulators?

Answers

2. The three phases of matter is solid, liquid, gas

Answer:

1.matter is any substance that has mass and takes up space by having volume.

2.The three fundamental phases of matter are solid, liquid, and gas (vapour),

3.In gases the particles move rapidly in all directions, frequently colliding with each other and the side of the container. With an increase in temperature, the particles gain kinetic energy and move faster. ... In liquids, particles are quite close together and move with random motion throughout the container.

3.In gases the particles move rapidly in all directions, frequently colliding with each other and the side of the container. With an increase in temperature, the particles gain kinetic energy and move faster. ... In liquids, particles are quite close together and move with random motion throughout the container.

Can someone help me with this one please I need help I will mark brainless

Can someone help me with this one please I need help I will mark brainless

Answers

Answer:

Your answer is A) 3.33ft/min E

Explanation:

i know this because i know to find the velocity you have to divide distance and time. So for this question your distance=10 and your time=3.

Recall specific heat of water is 4186 j/kg/C. Find the specific heat of sample.
Water. Sample
Mass 109 192
Internal temperature. 21. 67
Final temperature. 30.1. 30.1

Answers

Answer:

Shown by explanation;

Explanation:

The heat of the sample = mass ×specific heat capacity of the sample × temperature change(∆T)

Assumption;I assume the mass of the samples are : 109g and 192g

∆T= 30.1-21=8.9°c.

The heat of the samples are for 109g are:

0.109 × 4186 × 8.9 =4060.84J

For 0.192g are;

∆T= 67-30.1-=36.9°c

0.192 × 4186×36.9=29656.97J

You walk 5.0 km to the east and then turn and travel 8.0 km to the north. Determine your resultant displacement. (Resultant includes hypotenuse, theta,
and direction)

Answers

We can obtain the resultant displacement by geometry as 9.4 m North East

What is displacement?

Displacement is the distance covered in a specific direction. It is a vector quantity hence its resultant must be obtained geometrically.

Given that, we can obtain the resultant displacement by the use of the Pythagoras theorem;

R= √(5)^2 + (8)^2

R = 9.4 m North East

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Which of the following shows evidence of the carbon cycle?
a. A fox getting its energy from a mouse and a mouse getting its energy
from the grass.
b. Plants growing in a greenhouse.
c. Water falling as rain then evaporating back into the atmosphere.
d. A river flowing to the ocean.

Answers

A fox getting its energy from a mouse and a mouse getting its energy from the grass  shows evidence of the carbon cycle

What is the carbon cycle?

The carbon cycle is a necessary component within the global interchange between living species and the environment.

Through photosynthesis, plants absorb carbon dioxide from the atmosphere and convert it into vitalizing organic matter for consumption by animals; these organisms expend the energy obtained and consequently expel carbon dioxide back up into the air via respiration.

Moreover, when animals meet their demise and decompose, the carbon in their bodies is redeposited into Earth's soil only to eventually be delivered once again to the atmosphere through erosive activities or those generated from volcanoes.

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Can you please match

Answers

Answer:

match what lol ?

Answer: Match what?

I love your profile pic.

Explanation:

can anyone write for me all the equation of linear motion​

Answers

All the equations of motion are as follows, Displacement (s) equation, Final velocity (v) equation, Average velocity (v_avg) equation, Displacement (s) equation with average velocity, and Displacement (s) equation.

Equations of Motion

In terms of its motion as a function of time, equations of motion define how a physical system behaves. In more detail, the equations of motion define how a physical system behaves as a collection of mathematical functions expressed in terms of dynamic variables.

s = ut + (1/2)at^2v = u + atv_avg = (u + v) / 2s = v_avg * ts = (u + v) / 2 * tv^2 = u^2 + 2as

In conclusion, equations of motion define how a physical system behaves in terms of how its motion changes over time.

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An object with a mass of 20 kg has a net force of 80 N acting on it. What is the acceleration of the object

A.25 m/s2
B 4 m/s2
C 60 m/s2
D 100 m/s2

Answers

Answer:

a = 4m/s²

Explanation:

a= f/m

a = 80/20

a = 4m/s²

Advances in public health and medicine were some of the main reasons population ______ in the 18th century.

Answers

Advances in public health and medicine were some of the main reasons the population grew in the 18th century.

Public health focuses on illness prevention, whereas medicine focuses on the prevention, diagnosis, and treatment of patients. The primary instruments of the medical professional are medication, surgery, and other types of personalized intervention.

Vaccine invention and widespread usage, smallpox eradication, significant decreases in infectious disease outbreaks, and the rise and fall of various important chronic illnesses are among the contributions most noted for their influence on mortality and lifespan.

Public health evolved via trial and error and developing scientific medical knowledge, which was sometimes contentious and was sometimes prompted by war and natural calamities. The necessity for organized health protection arose as communal life evolved, particularly with urbanization and social changes.

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What happens to the apperent brightness of a star as you get closer to it

A. It gets brighter.

B. It gets dimmer.

C. It gets larger.

D. It gets smaller


I really the answer Asap thanks!
Im not collage btw lol

Answers

It can either get brighter or even larger depends on the options given also

During a phase change,the temperature remains constant although heat is still being added. what is the best explanation for what the heat energy is being used to do

Answers

During the phase change in which heat is being added but the temperature remains constant, the heat energy is used to break the bonds in the molecules.

What is a phase change?

A phase change is the conversion of one state of matter to another. e.g. solid to liquid or liquid to gas.

Substances can exists in three states namely;

solidgaseousliquid

In a change of phase, heat energy is needed to break the existing bonds between the molecules of the initial state. For example, heat energy is needed to break the bonds of ice to form water.

However, during this phase change, the temperature remains constant.

Therefore, during the phase change in which heat is being added but the temperature remains constant, the heat energy is used to break the bonds in the molecules.

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If the boy is pushing with a force of 40.0 N on the box, what is the approximate magnitude of the frictional force?

If the boy is pushing with a force of 40.0 N on the box, what is the approximate magnitude of the frictional

Answers

The magnitude of the frictional force is 5 N.

The force exerted by the boy on the box is 40.0 N. According to Newton's second law of motion, the net force acting on an object is equal to the product of its mass and acceleration:

F(net) = m*a

where F(net) is the net force, m is the mass of the object, and a is its acceleration.

In this case, the net force acting on the box is the force applied by the boy minus the frictional force:

F(net) = F(applied) - F(friction)

By substituting the values:

F(applied) = 40.0 N

m = 5 kg

a = 7 m/s^2

Now, by using frictional force:

F(friction) = F(applied) - F(net)

F(friction) = F(applied) - ma

                = 40.0 N - (5 kg)(7 m/s^2)

                = 5 N

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A 0.034 kg copper rod is hung by two wires and placed in a constant magnetic field. A current
of 14 A runs through the 0.050 m long copper rod, making it hang at an angle of 34° from the
vertical as shown below.

What is the magnetic field strength holding the copper rod in this position?
The answer is B. Please show All work so I can see how to do it.

A 0.034 kg copper rod is hung by two wires and placed in a constant magnetic field. A currentof 14 A

Answers

The magnetic field strength holding the copper rod in this position is 0.39 T.

Magnetic field strength

The magnetic field strength holding the copper rod in position is calculated as follows;

F = BIL

where;'

F is the magnetic force = tension in the cordB is magnetic field strength

F = mgcosθ

mg = BIL

B = (mgcosθ)/(IL)

B = (0.034 x 9.8 x cos34) / (14 x 0.05 )

B = 0.39 T

B = 3.9 x 10⁻¹ T

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a bag of same size small balls contain 6 blue balls 5 red balls 5 yellow balls and 4 green balls what is the probality of selecting a blue or green ball on first draw

Answers

Answer:

Below

Explanation:

Blue ( 6)   OR  green ( 4)   is 10 out of  ( 6 + 5 + 5 + 4)

10 / 20 = 1/2 chance of blue OR green

PLEASE HELP 20!!+BRAINLIEST
It is critical for scientists to be able to describe components of a system quantitatively. Explain why it is important to be able to describe a system quantitatively, using an example from your investigation about habitable worlds

Answers

It is important to be able to describe a system quantitatively because there exist many variables that show a continuous range of variation.

What is quantitative research?

Quantitative research is any type of investigation based on scientific variables that express their values as a continuous range of variation.

For example, there are genetic traits such as height and weight that show quantitative variation, thereby they need to be expressed as ranges.

In conclusion, it is important to be able to describe a system quantitatively because there exist many variables that show a continuous range of variation.

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For your assignment this week, research an athlete who has used steroids or some other performance enhancer in his/her career.

For your assignment this week, research an athlete who has used steroids or some other performance enhancer

Answers

One notable athlete who has been associated with the use of performance-enhancing drugs (PEDs) is the American professional cyclist Lance Armstrong.

Armstrong gained worldwide recognition for his unprecedented seven consecutive victories in the Tour de France from 1999 to 2005. However, his remarkable achievements were tarnished when it was revealed that he had engaged in systematic doping throughout his career.

In 2012, after years of denial, Armstrong finally admitted to using banned substances, including erythropoietin (EPO), testosterone, corticosteroids, and blood transfusions, to enhance his performance. These substances boosted his endurance and oxygen-carrying capacity, providing him with an unfair advantage over his competitors. Armstrong's confession came after substantial evidence, including testimonies from teammates and extensive investigations, exposed his involvement in one of the most elaborate and sophisticated doping schemes in sports history.

Following his admission, Armstrong was stripped of his Tour de France titles and received a lifetime ban from professional cycling. The revelations surrounding his drug use had a profound impact on the sport, shaking its credibility and raising concerns about the prevalence of doping in cycling.

Armstrong's story serves as a cautionary tale, highlighting the ethical and moral dilemmas associated with doping in sports. His case underscores the importance of maintaining the integrity of athletic competition, the significance of stringent anti-doping measures, and the need for education and awareness regarding the risks and consequences of performance-enhancing substances.

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Which of the following materials offer the least opposition to the flow of magnetic lines of force? A.steel b.copper c. Brass d.air

Answers

Air offers the least opposition to the flow of magnetic lines of force compared to the other materials listed.

This is because air is a non-magnetic material, which means it does not contain any magnetic properties. Magnetic lines of force can pass through air with minimal interference, as there are no magnetic fields generated to oppose the magnetic lines.

In contrast, materials such as steel, copper, and brass have magnetic properties, which means that they can create their own magnetic fields that can oppose the flow of magnetic lines of force. Therefore, air is the least resistive material for the flow of magnetic lines of force.

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In a DC generator, the generated emf is directly proportional to the

Answers

In a DC generator, the generated electromotive force (emf) is directly proportional to the rotational speed of the generator's armature and the strength of the magnetic field within the generator.

This relationship is described by the equation for the generated emf in a DC generator:

Emf = Φ * N * A * Z / 60

Where:

Emf is the generated electromotive force (in volts),

Φ is the magnetic flux density (in Weber/meter^2\(meter^2\) or Tesla),

N is the number of turns in the armature winding,

A is the effective area of the armature coil (in square meters),

Z is the total number of armature conductors, and

60 is a constant representing the conversion from seconds to minutes.

From this equation, we can see that the generated emf is directly proportional to the magnetic flux density (Φ) and the product of the number of turns (N), effective area (A), and the total number of armature conductors (Z). This means that increasing any of these factors will result in a higher generated emf.

The magnetic flux density (Φ) can be increased by using stronger permanent magnets or increasing the strength of the field windings in the generator.

The number of turns (N) and the effective area (A) are design parameters and can be optimized for a specific generator. Increasing the number of turns or the effective area will result in a higher generated emf.

Similarly, the total number of armature conductors (Z) can be increased to enhance the generated emf.

By controlling and optimizing these factors, the generated emf in a DC generator can be increased, resulting in higher electrical output. However, it is important to note that there are practical limits to these factors based on the design and construction of the generator.

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1. Open Gas Properties and then put a little gas into the box using the pump.
a. Observe gas particles’ behavior.
b. Pump in some lighter particles and talk about the similarities and differences
that you see between heavy and light particles.
c. Use the simulation to see how changing the temperature affects the behavior of
the gas particles.
d. Write a description for a gas based on your observations; include diagrams to
help with your description.
2. Open States of Matter; use the simulation to determine how well liquids and solids
match your description of gas particles.
3. Write two paragraphs explaining the differences and similarities between solid,
liquid, and gas-particle motion; include drawings to help explain.
4. Describe the Phase diagram of the states of Matter and its
importance in the structure analysis and Chemical reaction in one paragraph.

Answers

1. Gas particles move randomly and rapidly in all directions and collide with each other and the walls of the container, creating pressure, 2. Liquids and solids have more ordered and restricted motion compared to gases, 3. Solids have fixed positions, liquids can move around each other, and gases move rapidly in all directions, and 4. The phase diagram shows the relationships between the states of matter at different temperatures and pressures and is important for predicting the behavior of substances and optimizing chemical reactions.

A phase diagram is a graph that shows the relationships between the different states of matter of a substance at different temperatures and pressures, providing information on the behavior of the substance under different conditions. It is an essential tool in understanding the behavior of materials in various conditions and in designing chemical processes that operate efficiently under different conditions.

1. Gas Properties simulation allows you to observe the behavior of gas particles. When you put a little gas into the box using the pump, you can see that the gas particles move randomly and rapidly in all directions. They collide with each other and with the walls of the box, creating pressure. When you pump in some lighter particles, such as helium, you can observe that they move faster and more chaotically than the heavier particles. They also bounce off the walls of the box more easily than the heavier particles. Changing the temperature of the gas affects the behavior of the particles. When the temperature increases, the particles move faster and collide more frequently, creating a higher pressure. When the temperature decreases, the particles move slower and collide less frequently, creating a lower pressure.

Based on the observations, a gas can be described as a state of matter in which the particles are widely spaced, move rapidly and randomly in all directions, and are not held together by any significant forces. The gas particles have a large amount of kinetic energy and exhibit rapid motion.

2. States of Matter simulation allows you to see how well liquids and solids match the description of gas particles. When you compare the behavior of gas particles to that of liquids and solids, you can see that liquids and solids have much more ordered and restricted motion than gases. In liquids, the particles are close together and move more slowly, while in solids, the particles are tightly packed and vibrate in fixed positions.

3. The motion of particles in solids, liquids, and gases can be explained using diagrams. In a solid, the particles are packed closely together in a regular pattern and vibrate in fixed positions. In a liquid, the particles are also close together but are not in a fixed pattern and can move around each other. In a gas, the particles are widely spaced and move rapidly in all directions. To create a diagram, you can use circles to represent the particles and arrows to show their motion.

The similarities between the three states of matter include the fact that the particles that make up each state are constantly in motion. The differences lie in the level of motion and the degree of freedom of the particles. Solids have the least amount of freedom, followed by liquids, and gases have the most freedom. Liquids and solids have definite shapes and volumes, while gases have neither definite shape nor definite volume.

4. The phase diagram is a graph that shows the relationships between the different states of matter at different temperatures and pressures. It is important in structure analysis and chemical reaction as it provides information on the behavior of substances at different temperatures and pressures. The phase diagram can help to predict the behavior of a substance under different conditions and can be used to identify the different phases that exist at different points. The phase diagram is also used in industrial processes to optimize chemical reactions and to design chemical processes that operate efficiently under different conditions. Understanding the phase diagram is essential in chemistry and materials science as it provides insight into the behavior of materials under various conditions.

Therefore, 1. Pressure is created when gas particles collide with one another and the container walls while moving randomly and quickly in all directions, 2. Compared to gases, the motion of liquids and solids is more controlled and ordered 3. While liquids can move around one another and gases move quickly in all directions, solids have fixed positions, and 4. The phase diagram is crucial for predicting the behavior of substances and optimizing chemical reactions because it depicts the relationships between the states of matter at various temperatures and pressures.

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what is meant by reticlinear propatigation of light?

Answers

Answer:

The property of light going in a straight lines in a homogenous straightforward medium is known as rectilinear engendering of light.

Answer:

the property of light travelling in a straight lines in a homogenous transparent medium

Explanation:

where is the mask of the vehicle that has 50,000 N and 25 m/s/s

Answers

The vehicle has a 2000kg mass.

briefly? Is the formula for F MA in Newtons?

Take a mass's acceleration into account. Use the formula F = m a to determine the force's value. Kilogram-meter/second-squared will be used as the unit of force. The short name for this unit, which is made up of the three basic SI units, is newton.

F= ma

m= F/a

m= 50000/25

m= 2000 kg

What is an easy way to define Newton's second law?

According to Newton's Second Law of Motion, acceleration (gaining speed) occurs whenever a force acts on a mass (object). This law of motion is best demonstrated by riding a bicycle. The mass is your bicycle. The force that propels you forward on your bicycle comes from your leg muscles.

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A golfer hits the ball across a 40 meter golf course, the ball reaches the other side in 0.30 seconds. What is the average speed that the golfer hit the ball at?

a. 0.0075 m/sec
b. 40 m/sec
c. 0.30 m/sec
d. 133.33 m/sec

Answers

The average speed is distance divided by time.
Distance is 40 meters.
Time is 0.30 seconds.
Average speed = 40 m / 0.30 sec = 133.33 m/sec

The answer is D. 133.33 m/sec.

Two stars M1 and M2 of equal mass make up a binary star system. They move in a circular orbit that has its center at the midpoint of the line that separates them. If M1 = M2 = 5.45 sm (solar mass), and the orbital period of each star is 3.20 days, find their orbital speed. (The mass of the sun is 1.99E30 kg.)

Answers

Since Two stars M1 and M2 of equal mass make up a binary star system.  their orbital speed is  2.69E4 m/s.

What is the orbital speed  about?

The orbital period of a binary star system is given by the equation:

T = 2 * pi * sqrt(a³ / (G * (M1 + M2)))

where T is the orbital period, a is the semi-major axis of the orbit (half of the distance between the two stars at their closest approach), G is the gravitational constant, and M1 and M2 are the masses of the two stars.

Substituting the given values into this equation, we get:

3.20 days = 2 * pi * sqrt(a³ / (6.67E-11 m³ kg^⁻¹ s^⁻² * (5.45 sm * 1.99E30 kg/sm + 5.45 sm * 1.99E30 kg/sm)))

Solving for the semi-major axis, we find that a = 2.11E11 m.

The speed of each star in the orbit can be found using the equation:

v = sqrt(G * (M1 + M2) / a)

Substituting the values we have calculated, we find that v = 2.69E4 m/s. This is the speed of each star in the orbit.

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A vineyard has 145 acres of chardonnay grapes. A particular soil supplement requires 5. 50 g g for every square meter of vineyard. How many kilograms of the soil supplement are required for the entire vineyard? (recall that 1 km2=247acres k m 2 = 247 a c r e s. ). A 12-m beam is subjected to a load, and the bending moment follows the equation M(x) = 5x + 1/12 * x , where M is the bending moment and x is the length in distance along the beam. We know that V = dm/dx , and V is the shear force. If the length in distances along the beam is measured from 0m using a 2 - m increment. Estimate the generalized numerical formulae for estimating the shear force of a beam at length x . Consider the function represented by the equation y-6x-9 = 0. Which answer shows the equation written in functionnotation with x as the independent variable?O F(x) = 5x + 9O f(x) = 1/3 x + 2 / 2Of) = 5y+9O fox = 1/3 + 2 / 2 What was the idea behind Manifest Destiny?- That all Africans are inferior to the Americans and thus have no other societal role than to be slaves- That a Christian American had the responsibility to teach the rest of the world its religion- That America was the most powerful world nation and had a duty to medicate all world conflicts- That it was right for Mericans to extend their way of life from the Atlantic to the Pacific Solve the inequality - 6 x > 42what happens to the inequality sign when you divide by a negative number What must be true in order for two triangles to be similar? que es el desarrollo en un texto Which production by England's Punchdrunk company was a breakout hit of the 2011-12 season in New York and is considered the leading example of the new genre: immersive theatre? relao entre o classicismo com os outros movimentos Which component of a galaxy is often found between the stars and looks like a cloud or smoke? (2 points) aDust bGas cObject dStar Write the concentration equilibrium constant expression for this reaction. 2 Cul(s)+12(aq) --2 Cu(aq)+4I^- (aq) : ? Brother, Can You Spare a Dime?Read the song lyrics and consider what they mean. Just what are the messages of this song? Write your analysis as though you were a critic of the period. I will pick the brainiest answer! Thanks! :) Since Hamlet is a teenager, he can sometimes be a bit dramatic some might say melodramatic. Pretend you are Hamlet's therapist or a best friend and he has just given the "To Be or Not to Be" speech to you. What advice would you give him about life and death to change his mind about taking his life? Which sentence correctly conveys the same meaning as this sentence?Ella tiene compasin.A. Es compasiva.B. Eres compasiva.C. Soy compasiva.D. Son compasivas. Help help me help help please help help me help help you get it done and how fast you get it out of your chest Calaveras Tire exchanged equipment for two pickup trucks. The book value and fair value of the equipment given up were $20,000 (original cost of $65,000 less accumulated depreciation of $45,000) and $17,000, respectively. Assume Calaveras paid $8,000 in cash and the exchange has commercial substance.Required:a. At what amount will Calaveras value the pickup trucks?b. How much gain or loss will the company recognize on the exchange? Imagine that you and your friends are going to a drive-in movie. The screen, which is 40 feet high, is elevated height 60 feet on posts. If you park your car 77 feet from the screen, at what angle will you be watching the movie? there are 120 calories in 2/3 cup. how many calories are in 1 cup? what political role did women play in the transformation of South Africa from the 1970's to the 1920s essay