A 72-kg boy and a 48-kg girl, both wearing ice skates face each other at rest on a skating rink. The boy pushes the girl, sending her eastward with a speed of 6.8 m/s. What is the speed and direction of the boy?

Answers

Answer 1

Using conservation of momentum:

\(\begin{gathered} P1=P2 \\ m1v1+m2v2=m1v1+m2v2 \\ where: \\ m1=72kg \\ m2=48kg \\ v2=+6.8m/s \end{gathered}\)\(\begin{gathered} P1=P2 \\ m1u1+m2v1=m1u2+m2v2 \\ u1=0 \\ v1=0 \\ where: \\ m1=72kg \\ m2=48kg \\ v2=+6.8m/s \end{gathered}\)

Solve for u2:

\(\begin{gathered} 0=72u2+48(6.8) \\ 0=72u2+326.4 \\ u2=-\frac{326.4}{72} \\ u2=-4.5m/s \end{gathered}\)

Answer:

4.5 m/s to the west


Related Questions

car accelerates at a rate of 4.00 m/s?. How long will it take the car to speed up from 20 m/s to 50 m/s?

Answers

The distance that will take the car to speed yup from 20m/s to 50m/s is 262.5 meters

The first step is to write out the parameters given in the question are

acceleration= 4

initial velocity= 20

final velocity= 50

The distance can be calculated as follows

V²= U² + 2as

50²= 20² + 2(4)(s)

2500= 400= 8s

2500-400= 8s

2100= 8s

s= 2100/8

s= 262.5 meters

Hence the distance is 262.5 meters

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From the definition of acceleration, the time it will take the car to speed up is 7.5 seconds

Given that a car accelerates at a rate of 4.00 m/s^2. To calculate how long it will take the car to speed up from 20 m/s to 50 m/s, let us first mark out the needful parameters.

Acceleration a = 4 m/\(s^{2}\)

Initial velocity U = 20 m/s

Final Velocity V = 50 m/s

Time t = ?

From the definition of acceleration, acceleration is the rate of change of velocity. That is,

a = (V - U)/ t

Substitute all the parameters into the formula above.

4 = ( 50 - 20) / t

Cross multiply

4t = 30

Make t the subject of formula

t = 30/4

t = 7.5 t

Therefore, the time it will take the car to speed up is 7.5 seconds

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A uniform brick of length 24 m is placed over the edge of a horizontal surface with a maximum overhang of 12 m attained without tipping.

A uniform brick of length 24 m is placed over the edge of a horizontal surface with a maximum overhang

Answers

The maximum overhang possible for the two bricks (without tripping) is 15m.

What is the detailed solution to the above question?

Given,

          Length of the brick (L) = 24m

          Maximum overhang = 12m

          Length of second brick = 24m

          Maximum overhang for two bricks =?

Now,

Generally, the equation for the value x (mid-point joining the bricks)             is given as,

x = 0.25 × L

  =0.25 × 12

  = 3m

Hence,

The maximum overhang possible for the two bricks (without tripping) will be,

L₀ = L/2 + x

    = 24/2 + 3

    = 12 + 3

    = 15m

Therefore, The maximum overhang possible for the two bricks (without tripping) is 15m.

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41. A body, moving in a straight line with an initial velocity Of 5ms-1 and a constant acceleration Covers distance of 30 m In the 3rd second How much distance will it cover in the next 2 seconds ? (1) 90 m (2) 100m (3) 120 m (4) 70 (5) 80m​

Answers

Answer:

130 ka plass ma 300 ma 900 bina too hava 600 in ma cata 800 500 670 klam mater boni to are in 4089 uano ka quny jinm kilo mater 560 seconds

How are speed and velocity alike?
A. They both Include the total distance traveled
B. They both describe a rate of motion
C. They both require a reference point
D. They both include the direction of motion

Answers

Answer:

speed and volicity are alike bc

Explanation:

A . they both include the total distance traveled

the answer to this question is A

A wave connected armature winding has V1 slots with 54 conductors per slot. If the flux per pole is 0.025 Wb and number of poles is 8, Find the speed at which generator should be run to give 513 V. Also find the speed If the armature is lap connected.

Answers

The required speed if the armature is lap connected is approximately 1425 RPS.

What is wavelength?

Wavelength is a fundamental property of waves, including electromagnetic waves like light and radio waves, as well as other types of waves, such as sound waves or water waves.

Here,
To find the speed at which the generator should be run to give an output voltage of 513 V, we can use the formula:

E = 4.44 * f * N * φ * Z

First, let's find the value of Z,
Z = V₁ * Nc

Z = V₁ * slots * conductors per slot

Z = V₁ * 54

Substituting the given values, we get,

513 = 4.44 * f * N * 0.025 * V₁ * 54

Simplifying, we get:

N = 513 / (4.44 * f * 0.025 * V₁ * 54)

Substituting f = 50 Hz, and V₁ = 1, we get:

N = 513 / (4.44 * 50 * 0.025 * 54)

N ≈ 1.71 RPS

Therefore, the speed at which the generator should be run to give an output voltage of 513 V is approximately 1.71 RPS.

Now, to find the speed if the armature is lap connected, we can use the formula,

E = 2 * p * φ * N * Z / 60A

For a lap winding, A = p.

Substituting the given values, we get,

513 = 2 * 8 * 0.025 * N * V1 * 54 / (60 * 8)
N = 513 * 60 / (2 * 8 * 0.025 * V1 * 54)

Substituting V₁ = 1, we get:

N = 513 * 60 / (2 * 8 * 0.025 * 54)

N ≈ 1425RPS

Therefore, the speed of the armature is lap connected is approximately 1425 RPS.

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a system is composed of two blocks. the blocks, sliding on a horizontal frictionless surface, collide and stick together. which of the following statements are correct regarding the system? there are two correct answers.(4 points) this is an open system. this is a closed system. friction is an external force on this system. there is no net external force on this system.

Answers

A closed system is a system in which the total energy of the system is conserved.

Which of the following statements are correct regarding the system?This system is an example of a closed system. In this system, two blocks are sliding on a horizontal frictionless surface and collide and stick together.Since there is no friction present, the external forces on the system are zero, meaning that there is no net external force on this system.This means that the total energy of the system is conserved, as no energy is being added or taken away. This makes it a closed system.The system in question is a closed system, meaning that no energy or matter can enter or leave the system. This is because the two blocks are stuck together after the collision, and thus the system is completely isolated from its environment. Friction, however, is an external force on this system, since it acts on the blocks when they collide. At the same time, there is no net external force on this system. This is because the forces that are acting on the system are balanced out and thus there is no net force on the system as a whole.In conclusion, the system in question is a closed system, and friction is an external force acting on it. However, since the forces acting on the system are balanced out, there is no net external force on the system.

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A heating coil operates on 220 V if it draws 15.0 A. Find it's resistance

Answers

Answer:

R ≈ 15 ohms

Explanation:

Using ohm's law equation,

I = V/R, to solve for the resistance of the heating coil.

R = V/I

Known:

V = 220 v = 220 kgm^2s^-3A^-1

I = 15 A

Unknown:

R =?

Solution:

R = (220 kgm^2s^-3A^-1)/ 15.0 A

R = 14.6 kgm^2s^-3A^-2

R ≈ 15 kgm^2s^-3A^-2

R ≈ 15 ohms

Which physical law most directly describes the motions of objects that are acted on by forces?

A.
Newton's law of universal gravitation
B.
Newton's second law of motion
C.
Coulomb's law of electrostatic interaction
D.
the conservation of mass law

Answers

Answer: Newton's second law of motion

Explanation:

Using the numbers, label the parts of a plant cell (right) animal cell (left)
3. nucleus
4. cell membrane
5. vacuole
6. ribosomes
7. mitochondrion
8. cell wall
9. cytoskeleton
10. endoplasmic reticulum
11. chloroplast
12. golgi body
13. nucleolus

Using the numbers, label the parts of a plant cell (right) animal cell (left) 3. nucleus 4. cell membrane

Answers

I already labelled the diagram
Using the numbers, label the parts of a plant cell (right) animal cell (left) 3. nucleus 4. cell membrane

A ballon is rubbed against a sweater. Which of the following describes the result of this interaction?

Answers

A balloon is rubbed against a sweater. Which of the following describes the result of this interaction? Answer: The fibers of the sweater lose electrons.

Answer:

static could form and The balloon becomes positively charged

Explanation:

Science

An object floats with half its volume beneath the surface of the water. The volume of the object is 3.5 m. What is the weight of the object? The density of water is 1000 kg/m3​

Answers

Answer:

Since the object is floating, the buoyant force equals the weight of the water displaced:

W = d g v  where d is the density of water and v = V/2 where v is the volume of the water displaced   and v = V/2 where V is the volume of the object.

W = 1000 kg/m^3 * 9.8 m/s^2 * (3.5 /2 m^3)

W = 17150 kg m / s^2 = 17150 N

When an object floats with half its volume beneath the surface of the water. If the volume of the object is 3.5 m,then the weight of the object would be 17167.5 N if the density of water is 1000 kg/m3

What is density?

It can be defined as the mass of any object or body per unit volume of the particular object or body. Generally, it is expressed as in gram per cm³ or kilogram per meter³.

The density is the reciprocal of the specific volume of any substance.

The mathematical formula for density is given below

ρ =m /V

where ρ is the density of the substance

m is the mass of the substance

V is the volume of the substance

As given in the problem an object floats with half its volume beneath the surface of the water. The volume of the object is 3.5 m

The density of water is 1000 kg/m3​

According to the Archimedes principle, the buoyancy force acting on  the floating object is equal to the weight of the fluid displaced by it

W =  ρ g V

Given the object floats with half its volume beneath the surface of the water means the volume of the water displaced is half of the volume of the object

V=3.5/2 m³

W = 1000×9.81×3.5/2

   = 17167.5 N

Thus, the weight of the object is 17167.5 N

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was leeuwenhoek the first person to build a microscope?

Answers

Answer:

No. He was not the first person who built a microscope. But he made simple (one lens), but the microscopes that he did built were the best ones for that time.

Answer #49 please and thank you

Answer #49 please and thank you

Answers

when Force (N) is 10.0 Length (m) is 0.60

when Force (N) is 8.0 Length (m) is 0.40

when Force (N) is 4.0 Length (m) is 0.20

when Force (N) is 4.0 Length (m) is 0.20

when Force (N) is 2.0 Length (m) is 0.10

chatgpt

49. To find the length of a pendulum that has a period of 2.3 seconds on the Moon, where the gravitational acceleration (g) is 1.6 N/kg, we can use the formula:

Period (T) = 2π√(Length (L) / g)

Substituting the given values:

2.3 = 2π√(L / 1.6)

To solve for L, we can rearrange the formula:

L = (2.3 / (2π))^2 * 1.6

L ≈ 0.781 meters (or 78.1 centimeters)

So, the pendulum must be approximately 0.781 meters (or 78.1 centimeters) long to have a period of 2.3 seconds on the Moon.

50. Ranking Task:

To rank the pendulums according to their periods, we need to consider both the length and mass of each pendulum.

Ranking from least to greatest period:

1. A: 10 cm long, mass = 0.25 kg

2. C: 20 cm long, mass = 0.25 kg

3. B: 10 cm long, mass = 0.35 kg

There is a tie between pendulums A and C, as they have the same length but different masses.

A 10 KVA, 380 V, 50 Hz, 3-phas, star-connected salient pole alternator has direct axis and quadrature axis reactances of 12 ohms and 8 ohms respectively. The armature has resistance of 1 ohin per phase, The generator delivers rated load at 0.8 p,f lagging with the terminal voltage being maintained at rated value. If the load angle is 16.15, determine (i) the direct axis and quadrature axis components of armature current, (b) excitation voltage of the generator.​

Answers

Direct axis and quadrature axis components of armature current are 30.28 A and 46.92 A respectively, and the excitation voltage of the generator is 765.36 V.

Given:

Apparent power (S) = 10 KVA = 10,000 VA

Line voltage (V) = 380 V

Frequency (f) = 50 Hz

Xd = 12 ohms

Xq = 8 ohms

Ra = 1 ohm

Power factor (pf) = 0.8 lagging

Load angle (δ) = 16.15 degrees

(i) Armature current's direct axis and quadrature axis components

We know that the apparent power is given by S = 3VLILcos(φ), where VL is the line voltage, IL is the line current, and φ is the angle between them. For a star-connected alternator, line voltage is equal to phase voltage, so we can write:

S = 3Vphase Iphase cos(φ)

Iphase = S / (3Vphase cos(φ))

For a lagging power factor, cos(φ) = 0.8, so

Iphase = 10,000 / (3 x 380 x 0.8) = 10.46 A

The direct axis component (Id) and the quadrature axis component (Iq) make up the armature current.  Using the given values of Xd, Xq, and Ra, we can calculate these components as follows:

Id = (VL - IaRa) / Xd

Iq = (VL - IaRa) / Xq

where Ia is the magnitude of the armature current, which is equal to the magnitude of the line current divided by √3. Thus,

Ia = Iphase / √3 = 10.46 / √3 = 6.03 A

Substituting the given values:

Id = (380 - 6.03 x 1) / 12 = 30.28 A

Iq = (380 - 6.03 x 1) / 8 = 46.92 A

(ii) Excitation voltage of the generator:

The excitation voltage (E) of the generator is given by:

E = Vphase + IqXq

Substituting the given values:

E = 380 + 46.92 x 8 = 765.36 V

Therefore, the direct axis and quadrature axis components of armature current are 30.28 A and 46.92 A respectively, and the excitation voltage of the generator is 765.36 V.

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Ashley, a psychology major, remarks that she has become interested in the study of intelligence. In other words, Ashley is interested in?

Answers

Group of answer choices.

a) the capacity to learn from experience, solve problems, and to adapt to new situations.

b) how behavior changes as a result of experience.

c) the factors directing behavior toward a goal.

d) the ability to generate novel

Answer:

a) the capacity to understand the world, think rationally, and use resources effectively.

Explanation:

Psychology can be defined as the scientific study of both the consciousness and unconsciousness of the human mind such as feelings, emotions and thoughts, so as to understand how it functions and affect human behaviors in contextual terms.

This ultimately implies that, psychology focuses on studying behaviors and the mind that controls it.

In this scenario, Ashley who is a psychology major, stated that she's interested in the study of intelligence.

Intelligence can be defined as a measure of the ability of an individual to think, learn, proffer solutions to day-to-day life problems and effectively make informed decisions.

In other words, Ashley is interested in the capacity of humans to understand the world, think rationally, and use resources effectively to produce goods and services that meet the unending requirements, needs or wants of the people (consumers or end users) living around the world.

in a lever, a load of 600N is lifted by using 400 effort. If the load is at the distance of 20cm and the effort at the distance of 40cm from the fulcrum, calculate its efficiency​

Answers

Explanation:

Load (l) = 680N

Effort (E) = 500N

Length slope (l) = 12m

Height slope (h) = 8 m

Output = load * height

680 *8 = 5.44 *103 J

The Input = effort * length = 500 *12 = 6000J

the Mechanical advantage (M.A) = load effort= 600500=1.36

the Velocity ratio (V.R) =lh=128 = 1.5

the Efficiency =M.A100%V.R= 90.6%

Is frictional force the only example of non-conservative force?​

Answers

Answer: NO, there are many examples of non-conservative forces.

Explanation: Conservatives forces are special forces whose work is zero in a closed path.

Magnetic and Electric fields are Non- Conservative.

Suppose the point of insertion of the biceps muscle into the lower arm shown is 6.0 cm. How much mass could the person hold with a muscle exertion of 480 N

Suppose the point of insertion of the biceps muscle into the lower arm shown is 6.0 cm. How much mass

Answers

Answer:

Explanation:

To determine the mass that a person could hold with a muscle exertion of 480 N, we need to consider the lever arm, which represents the distance between the point of insertion of the muscle and the axis of rotation (in this case, the elbow joint).

Given that the point of insertion of the biceps muscle into the lower arm is 6.0 cm (or 0.06 m), we can calculate the torque generated by the muscle force using the formula:

Torque = Force × Lever arm

In this case, the torque is equal to the muscle exertion of 480 N, and the lever arm is 0.06 m. Plugging in these values, we can solve for the force that can be exerted:

480 N = Force × 0.06 m

Solving for Force:

Force = 480 N / 0.06 m

Force = 8,000 N

Therefore, the person could hold a mass of approximately 8,000 N. However, it's important to note that mass and weight are not the same. Weight is the force exerted by an object due to gravity, and it is equal to the mass multiplied by the acceleration due to gravity. To convert the force (weight) into mass, we would need to divide by the acceleration due to gravity (approximately 9.8 m/s^2):

Mass = Force / Acceleration due to gravity

Mass = 8,000 N / 9.8 m/s^2

Mass ≈ 816.3 kg

So, with a muscle exertion of 480 N, the person could theoretically hold a mass of approximately 816.3 kg.

A system consists of two uncharged metal spheres, each suspended on an insulating string and connected to the other by a thin
conducting wire. A positively charged rod is brought near, but does not touch, the left sphere, and the sphere is attracted to the rod. Which
of the following is correct about the net charge on the right sphere as a result?

Answers

The right sphere will acquire an equal and opposite net positive charge to balance the negative charge on the left sphere.

Electrostatic attraction

Since the left sphere is attracted to the positively charged rod, it means that the left sphere acquires a temporary negative charge due to induction.

The positive charge on the rod repels electrons in the left sphere, causing them to move away from the rod side and accumulate on the opposite side, resulting in a net negative charge on the left sphere.

According to the principle of charge conservation, the net charge on the system must remain zero. Therefore, the right sphere acquires an equal and opposite net positive charge to balance the negative charge on the left sphere.

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A 12 volt power supply is connected
to two 30 Ohm resistors in parallel.
What is the voltage drop across the
resistors?
12 V
30 Ω
30 Ω
[?] volts

A 12 volt power supply is connectedto two 30 Ohm resistors in parallel.What is the voltage drop across

Answers

24 volts is the voltage drop across each of the resistors in the parallel configuration.

When resistors are connected in parallel, they share the same voltage across them. Therefore, the voltage drop across each resistor in this scenario would be the same.

Given:

Power supply voltage (V) = 12 V

Resistance of each resistor (R) = 30 Ω

Since the resistors are in parallel, the total resistance (R_total) can be calculated using the formula:

1/R_total = 1/R1 + 1/R2

Substituting the values:

1/R_total = 1/30 Ω + 1/30 Ω

1/R_total = 2/30 Ω

R_total = 15 Ω

Now, we can find the current flowing through the resistors (I) using Ohm's Law:

I = V / R_total

I = 12 V / 15 Ω

I = 0.8 A

Since the voltage drop across each resistor is the same, we can find it using Ohm's Law:

V_drop = I * R

V_drop = 0.8 A * 30 Ω

V_drop = 24 V

Therefore, the voltage drop across each of the resistors in the parallel configuration is 24 volts.

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A boat accelerates uniformly from rest to a speed of 10 m/s over a distance of 50 m. (a) Determine the acceleration of the bike. (b) how long will take to do that? ТУЛ in this 34 A boat accelerates uniformly from rest to a speed of 10 m / s over a distance of 50 m . ( a ) Determine the acceleration of the bike . ( b ) how long will take to do that ?​

Answers

Answer:

See below

Explanation:

Average speed =  (0+ 10)/2 = 5 m/s

 then to cover 50 m     will take    50 m / 5 m/s  = 10 seconds

     change in velocity/ change in time = acceleration = 10/10 = 1 m/s^2

An aeroplane is circling above an airport in a horizontal circle at a speed of 400 kmh-1.The banking angle of the wings is 20.What is the radius of the circular path?

Answers

Answer: the radius of the circular path is approximately 1637.58 meters.

Explanation:

The centripetal force acting on the airplane is provided by the component of the gravitational force that acts towards the center of the circular path. This component is given by:

F_c = m * g * tan(banking angle)

Where:

F_c is the centripetal force

m is the mass of the airplane

g is the acceleration due to gravity

tan(banking angle) is the tangent of the banking angle

Now, the centripetal force is also given by the formula:

F_c = (m * v^2) / r

Where:

v is the speed of the airplane

r is the radius of the circular path

Equating the two expressions for F_c, we get:

(m * g * tan(banking angle)) = (m * v^2) / r

Canceling out the mass (m) on both sides of the equation, we have:

g * tan(banking angle) = v^2 / r

Solving for r, we get:

r = (v^2) / (g * tan(banking angle))

Substituting the given values:

v = 400 km/h = 400,000 m/h

g = 9.8 m/s^2

banking angle = 20°

Converting the speed to m/s:

v = 400,000 m/h * (1/3600) h/s = 111.11 m/s

Converting the banking angle to radians:

banking angle = 20° * (π/180) rad/° = 0.3491 rad

Now, substituting the values into the formula:

r = (111.11^2) / (9.8 * tan(0.3491))

r ≈ 1637.58 meters

Therefore, the radius of the circular path is approximately 1637.58 meters.

Explain what
happens to light when it is refracted at the
surface of water.

Answers

The beam of light would appear to bend at the surface of the water.
Light will make the object appear broken.

Answer:

It bends.

Explanation:

Water is denser than water. This causes light that is passing from air to water to appear to bend towards the normal line near the water's surface.

What is SeaWorld?
What is this
What is that

Answers

SeaWorld is a chain of theme parks and oceanariums that showcase marine life through educational exhibits, live shows, and thrilling rides. While it has faced criticism for its treatment of animals, SeaWorld has made changes to prioritize conservation and phased out its orca breeding program.

SeaWorld is a chain of theme parks and oceanariums that primarily focuses on marine life and entertainment. The company operates various parks across the United States, including SeaWorld parks in Orlando, San Diego, and San Antonio, as well as Busch Gardens parks in Tampa and Williamsburg. SeaWorld offers a combination of educational exhibits, live shows, and thrilling rides, with a special emphasis on marine animals such as dolphins, whales, sea lions, penguins, and sharks.

SeaWorld parks provide visitors with opportunities to observe and interact with marine creatures up close, while also offering educational programs that aim to raise awareness about marine conservation and preservation. The parks feature captivating shows featuring trained animals, where they perform impressive behaviors and stunts, showcasing their intelligence and natural abilities.

Over the years, SeaWorld has faced criticism from animal rights activists and environmentalists, who argue that the captivity and use of marine animals for entertainment purposes is unethical and harmful to the animals' well-being. These concerns have led to significant changes in the company's practices, including the phasing out of its orca breeding program and the introduction of more educational and conservation-focused initiatives.

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It is the source and summit of the whole Christian Life."

Answers

Answer:

CRISTO

Explanation:

UWU

Answer:

The Eucharist

Explanation:

In The Catechism of the Catholic Church (1324-1327), it states that The Eucharist is the source and summit of the whole Christian Life.

12. By convention (agreement of the scientific community for consistency)
magnetic field lines...

A. always start on the north pole and terminate (end) on the South Pole

B. start at infinity and point toward each pole

C. start at each pole and go outward

D. always start on the south pole and terminate (end) on the north pole.

Answers

Answer:

. always start on the north pole and terminate (end) on the South Pole

Explanation:

A 20 kg child runs at 4 m/s. What is his momentum?
a. 80.N × m
c. 80. kg × m/s
b. 80 N
d. 80. kg × m/s2

Answers

GiveN:-Mass of Child = 20 kgVelocity of the child = 4 m/sTo FinD:-Momentum = ?? SolutioN:-

Using Momentum formula:-

\(\large \hookrightarrow \: { \underline{ \overline{ \boxed{ \sf{ \: p = \: mv \: }}}}} \\ \)

where,

» p denotes momentum. » m denotes mass of the object. » v denotes velocity of the object.

\( \large \sf\longrightarrow \: \: p = \: mv \: \\ \)

\( \large \sf\longrightarrow \: \: p = \: 20 \times 4\: \\ \)

\( \large\sf\longrightarrow \: \: p = \: 80 \: \: \\ \)

\(\large \sf\longrightarrow \: \: p = \: 80 \: \: kg. m/s \\ \)

_____________________________

Answer:

as I know the SI unit of momentum is = kg×m /s so momentum. P=MV where M is mass & V is velocity so momentum is mass × velocity the answer will be 80 kg×m/s

a ball thrown horizontally with the velocity of 20 m\s from a 20 m building​ .what is the time

Answers

Answer:2.02s

Explanation:

At the y component, the tract of the ball is free falling body. The initial velocity at y component is 0 m/s.

Height = 1/2 * g * t^2

20 = 1/2 * 9.8 * t^2

t = (20 * 2 / 9.8)^1/2, t = 2.02s

A 750 kg race car accelerates to the right. The engine applies a force of
+7000 N to the car. The total friction on the car in the opposite
direction is -200 N.
Find the net force on the car then use 'Fnet = m a' to find the
acceleration.
O a
b
Oc
Od
12.4 m/s2
10.5 m/s2
8.0 m/s2
9.1 m/s2

Answers

Refer to the photo taken.
Answer: Option D, 9.1 m/s^2
A 750 kg race car accelerates to the right. The engine applies a force of+7000 N to the car. The total

Six artificial satellites complete one circular orbit around a space station in the same amount of time. Each satellite has mass m and radius of orbit L. The satellites fire rockets that provide the force needed to maintain a circular orbit around the space station. The gravitational force is negligible.
Rank the net force acting on each satellite from their rockets. Rank from largest to smallest.

a. m=200 kg and L= 5000m
b. m=400 kg and L=2500m
c. m=100kg and L=2500m
d. m=100kg and L=10000m
e. m=800kg and L=5000m
f. m=300kg and L=7500m

Answers

Answer:

b = e > a = c = f > d  

Explanation:

Since the satellites complete one circular orbit in the same amount of time, their speed is the same.

The force needed to maintain the orbit is the centripetal force given by F = mv²/L where m = mass of artificial satellite and L = radius of orbit.

So, for artificial satellite a

a. m=200 kg and L= 5000m

F =  mv²/L

F =  200 kgv²/5000 m

F =  0.04v² N

So, for artificial satellite b

b. m=400 kg and L= 2500m

F =  mv²/L

F =  400 kgv²/2500 m

F =  0.16v² N

So, for artificial satellite c

c. m=100 kg and L= 2500m

F =  mv²/L

F =  100 kgv²/2500 m

F =  0.04v² N

So, for artificial satellite d

d. m=100 kg and L= 10000m

F =  mv²/L

F =  100 kgv²/10000 m

F =  0.01v² N

So, for artificial satellite e

e. m=800 kg and L= 5000m

F =  mv²/L

F =  800 kgv²/5000 m

F =  0.16v² N

So, for artificial satellite f

f. m=300 kg and L= 7500m

F =  mv²/L

F =  300 kgv²/7500 m

F =  0.04v² N

So, the net force are in the order b = e > a = c = f > d  

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