how would you derive relation between momentum and newton's second law

Answers

Answer 1

Answer:

F = Δ(mv)/Δt = ma

Explanation:

Newton's second law states that the force exerted on an object is equal to the rate of change of its momentum.

Let F represent force and p momentum and p = mv where m = mass and v = velocity

This implies that F = Δp/Δt = Δ(mv)/Δt if the mass is constant, we have

F = mΔv/Δt and we know that acceleration, a = Δv/Δt

So, F = ma which is Newton's second Law.


Related Questions

6. Different between
air Pressure and liquid pressure?? ​

Answers

Answer:

The difference is that water is an incompressible fluid — its density is almost constant as the pressure changes — while air is a compressible fluid — its density changes with pressure. Atmospheric pressure is the pressure exerted on a surface by the weight of the atmosphere (a compressible fluid) above it.

Explanation:

Which of the following is Ohm's Law?
OR=xR
O1-V/R
OVR/
OV-/R

Answers

Answer:

I=V/R

Explanation:

Ohm's law gives the mathematical relationship between, current, voltage and the resistance of the circuit. Its mathematical form is given by :

V = IR ....(1)

V = voltage (in volts)

I = current (in Ampere)

R = resistance (in ohms)

Equation (1) can be rewritten as :

[tex]I=\dfrac{V}{R}[/tex]

Hence, the correct relation is I=V/R.

An iron bal of mass 20kg is rolling on a flat surface. On applying force, the velocity change from 17ms to 27m/s in 5s. Calculate the magnitude of the force. (Ans:40N)

Answers

Answer:

40 N

Explanation:

We first need to calculate the acceleration of the tron ball.

Since acceleration, a = (v - u)/t where u = initial velocity of iron ball = 17m/s, v = final velocity of iron ball = 27m/s and t = time taken for the change in velocity = 5 s.

So, a = (v - u)/t

= (27 m/s - 17 m/s)/5 s

= 10 m/s ÷ 5 s

= 2 m/s²

We know force on iron ball, F = ma where m = mass of iron ball = 20 kg and a = acceleration = 2 m/s²

So, F = ma

= 20 kg × 2 m/s²

= 40 kgm/s²

= 40 N

So, the magnitude of the force on the iron ball is 40 N.

Show FORMULA AND SOLUTION:
What acceleration will result when a 12N net force applied to a 3kg object? A 6kg object?​

Answers

Answer:  Given Force = 12 N

                  Mass = 3kg  and 6kg

F= mass. acceleration

A= F/M

A(3kg object) = 12/3 = 4m/s^2

A(6kg object) = 12/6 = 2m/s^2

"Calculate the frequency of infrared light with wavelength of 9.50 x 10-7m"

Answers

Answer:

The frequency of the infrared light is approximately 3.156 × 10¹⁴ Hz

Explanation:

Given that the wavelength of infrared light, λ = 9.50 × 10⁻⁷ m, we have;

The speed of light (which is constant), c = v × λ = 299,792,458 m

Where v = The frequency of the infrared light, we have;

v = c/λ = 299,792,458/(9.50 × 10⁻⁷) ≈ 3.156 × 10¹⁴ Hz

The frequency of the infrared light = v ≈ 3.156 × 10¹⁴ Hz.

Which statement accurately describes nutritional dietary supplements?
A. Supplements labeled “natural” are safe for all people.
b. Supplements labeled “natural” may interact negatively with medications.
c.Over-the-counter supplements are safe at almost any dose.
d.Over-the-counter supplements are required to have proven health benefits.

Answers

Answer:

its b

Explanation:

Supplements labeled “natural” may interact negatively with medications. The correct option is B.

What is nutritional dietary supplement?

Dietary supplements are substances that you may use to supplement your diet with nutrients or to reduce your risk of health problems such as osteoporosis or arthritis.

Dietary supplements are available in pill, capsule, powder, gel capsules and tablets, extracts, or liquid form.

Dietary supplements are available in a variety of forms, including tablets, capsules, gummies, powders, drinks, and energy bars.

Vitamins D and B12 are popular supplements, as are minerals like calcium and iron, herbs like echinacea and garlic, and products like glucosamine, probiotics, and fish oils.

Because many supplements contain active ingredients that have strong effects in the body, herbal products can pose unexpected risks. Natural supplements may have negative interactions with medications.

Thus, the correct option is B.

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because lighting heats up the surrounding air slowly, it realationship to thunder is currently unknown true or false​

Answers

Answer:

False

Explanation:

A circular coil of five turns and a diameter of 30.0 cm is oriented in a vertical plane with its axis perpendicular to the horizontal component of the Earth's magnetic field. A horizontal compass placed at the coil's center is made to deflect 45.0° from magnetic north by a current of 0.600 A in the coil.(b) The current in the coil is switched off. A "dip needle" is a magnetic compass mounted so that it can rotate in a vertical north-south plane. At this location, a dip needle makes an angle of 13.0° from the vertical. What is the total magnitude of the Earth's magnetic field at this location?

Answers

The total Earth's magnetic field is 56 μT.

The magnetic influence on moving magnetic materials, electric charges, and electric currents is described by a magnetic field, which is a vector field. A force acting on a charge while it travels through a magnetic field is perpendicular to both the velocity and the magnetic field.

The axis of a circular coil with five turns and a diameter of D = 30.0 cm, oriented vertically, is perpendicular to the horizontal component of the Earth's magnetic field.

When positioned in the coil's center, a horizontal compass deviates 45.0° from magnetic north due to a coil current of I = 0.600 A.

Now, the current is switched off.

The dip needle makes an angle of Φ = 13.0°.

Let B be the magnetic field and R be the radius of the circular coil.

Then the total magnitude of the Earth's magnetic field will be:

B(h) = B sin Ф

B = B(h) / sin Ф

B = ( 12.6 μT ) / ( sin 13.0° )

B = 56 μT

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determine the force of gravitational attraction between a 78 kg boy sitting 2 meters away from a 65 kg girl. circle your answer and include units

Answers

Answer:

The force of gravitational attraction is 8.454 x 10⁻⁸ N.

Explanation:

Given;

mass of the boy, m₁ = 78 kg

mass of the girl, m₂ = 65 kg

distance between the boy and the girl, r = 2 meters

The force of gravitational attraction is given as;

[tex]F = \frac{Gm_1m_2}{r^2}[/tex]

where;

G is gravitational constant = 6.67 x 10⁻¹¹ Nm²/kg²

r is the distance between two masses, m₁ and m₂

[tex]F = \frac{Gm_1m_2}{r^2} \\\\F = \frac{(6.67 \times 10^{-11})(78 \times 65)}{2^2}\\\\F = 8.454 \times 10^{-8} \ N[/tex]

Therefore, the force of gravitational attraction is 8.454 x 10⁻⁸ N.

Review. For a certain type of steel, stress is always proportional to strain with Young's modulus 20 × 10¹⁰ N/m² . The steel has density 7.86× 10³kg / m³. It will fail by bending permanently if subjected to compressive stress greater than its yield strength бy = 400MPa. A .rod 80.0cm long, made
of this steel, is fired at 12.0 m/s straight at a very hard wall.(d) the strain

Answers

The strain in the rod is [tex]2.37\times 10^{-3}[/tex]

Given:

Young's modulus, Y = [tex]20 \times 10^{10}\;N/m^{2}[/tex]

Steel density, [tex]\rho = 7.86 \times 10^{3}\;kg/m^{3}[/tex]

Length of the rod, L = 80 cm = 0.800m

The speed of the wave in the rod is,

[tex]$v = \sqrt{\frac{Y}{\rho}} = \sqrt{\frac{20\times 10^{10}\ \mathrm{N/m^2}}{7.86\times 10^3\ \mathrm{kg/m^3}}} = 5044\ \mathrm{m/s}$[/tex]

Hence the time taken by the wave to travel the end of the rod is,

[tex]$t=\frac{L}{v} = \frac{0.800\ \mathrm{m}}{5044\ \mathrm{m/s}} = 1.58\times 10^{-4}\ \mathrm{s}$[/tex]

The velocity of the rod is, [tex]$v_r = 12.0\ \mathrm{m/s}$[/tex]

The other end will keep moving after the front end hits the wall until the wave reaches the other end, given the period determined by the above problem.

As a result, before the wave reaches the end of the rod, it has traveled a distance of

[tex]$\Delta L = v_r t = (12.0\ \mathrm{m/s}) (1.58\times\ \mathrm{s}) = 1.90\times 10^{-3}\ \mathrm{m} = 1.90\ \mathrm{mm}$[/tex]

The strain in the rod is given by,

[tex]$\frac{\Delta L}{L} = \frac{1.90\times 10^{-3}\ \mathrm{m}}{0.800\ \mathrm{m}} = 2.37\times 10^{-3}[/tex]

Hence, the strain in the rod is [tex]2.37\times 10^{-3}[/tex].

What is strain?

In terms of physics, strain is defined as the fractional modification of configuration.

A system's reaction to an applied stress is called a strain, according to 2. A force that loads a material results in a stress that leads to deformation. Formula for a strain

Change in configuration equals strain first arrangement

It is a dimensionless quantity that lacks a unit.

Change in object size / original object size is known as strain.

It is a quantity without units or dimensions.

Strain kind.

Object length change divided by starting object length equals longitudinal strain.

L/L stands for longitudinal strain.

Change in object volume divided by starting object volume equals longitudinal strain

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A force of 15N is exerted on an area of 0.1 m squared. what is the pressure

Answers

Answer:

1The force is with u. Lol no Idea if this is correct sry if u fail. I go must now

a(n) is a rock in space when it enters a planets atmosphere it is a(n) any piece remaning after inmpact is an

Answers

A meteoroid is a rock in space when it enters a planet's atmosphere it is a meteor, any piece remaining after impact is a meteorite.

Meteoroids are small objects floating in space. They are made up of rocks, iron, and dust. In our solar system, meteoroids orbit the Sun and some planets.

When these meteoroids enter the atmosphere of earth, they become meteors. These meteors started to burn and shine due to friction.

Meteorites are the surviving un-burnt piece of meteors that hit the surface of the Earth.  

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According to Newton's First Law, if there are no unbalanced forces acting on an object,

Question 6 options:

it will eventually come to a stop.


it will change direction.


it will maintain a constant speed and direction.


it will speed up.

Answers

answer:------------------it will maintain a constant speed and direction

Water can’t stick to itself. True or false?

Answers

Answer:ture

Explanation:

Which statement about work and power correctly describes an automobile race?

The cars do different amounts of work depending on how fast they finish.
The car that finishes last has the lowest power.
The car with the greatest power travels the greatest distance.
The cars do different amounts of work depending on their power.

Answers

Answer:

the car do different amount of work depending on how fast they finish is my answer

Explanation:

I hope so it is helpful for you

Answer: B. The car that finishes last has the lowest power.

Explanation:

someone please help me with this work

Answers

Answer:

It would kill her

Explanation:

Because when he first layed on the nails the nails weren’t up yet

changr 20 min in to hr​

Answers

Answer:

change 20 min into hr = 0.33 hr

Explanation:

convert= divide the time by 60 because 60 mins make 1 hr

4. A 30kg red ball is rolling to the right with a velocity of 4m/s and a green ball is rolling to the right with a velocity of 5m/s left. After the collision the red ball has a velocity of 2m/s left and the green ball is rolling to the left with a velocity of 4.5m/s left. What is the mass of the green ball?​

Answers

The question is confusing for the initial direction of the green ball. We assume to the left.

Answer:

The mass of the green ball is 360 Kg

Explanation:

Law Of Conservation Of Linear Momentum

The total momentum of a system of bodies is conserved unless an external force is applied to it. The formula for the momentum of a body with mass m and velocity v is

P=mv.

If we have a system of bodies, then the total momentum is the sum of the individual momentums

[tex]P=m_1v_1+m_2v_2+...+m_nv_n[/tex]

If some collision occurs, the velocities change to v' and the final momentum is:

[tex]P'=m_1v'_1+m_2v'_2+...+m_nv'_n[/tex]

In a system of two masses, the law of conservation of linear momentum

is written as:

[tex]m_1v_1+m_2v_2=m_1v'_1+m_2v'_2[/tex]

Let's call m1=30 Kg the mass of the red ball moving to the right at v1=4 m/s, m2 (unknown) the mass of the green ball moving at v2=-5 m/s to the left (assumed).

After the collision, the red ball rolls to the left at v1'=-2 m/s and the green ball is at v2'=-4.5 m/s. Thus:

[tex]30*4+m_2*(-5)=30*(-2)+m_2(-4.5)[/tex]

Operating:

[tex]120-5m_2=-60-4.5m_2[/tex]

[tex]120+60=5m_2-4.5m_2[/tex]

[tex]180=0.5m_2[/tex]

[tex]m_2=180/0.5=360[/tex]

The mass of the green ball is 360 Kg

The wind exerts a force of 500N, South on a sailboat, while the water exerts a force of100N East on the sailboat.

Answers

Answer:

Net force = 509.90 N

Explanation:

Given that,

Force exerted by wind is 500 N South on a sailboat.

The force exerted by water is 100 N on the sailboat.

Two forces are acting at an angle of 90 degrees. We can find the net force acting on the sailboat. Let it is F.

[tex]F=\sqrt{500^2+100^2} \\\\=509.90\ N[/tex]

So, the net force on the sailboat is 509.90 N.

An electric toaster has a resistance of 12 ohms what current will it draw from a 120v supply

Answers

Answer: The Answer is 10 Ampere

Explanation:

The Formula

Resistance= Voltage ÷ current

Current= Resistance÷ current

Resistance= 12 ohms

Potential difference=120volts

hence Current= 10 Ampere

Hope it helps please leave a like if u are satisfied

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the heating coil of a water heater has a resistance of 20 ω and operates at 210 v. how long does it take to raise the temperature of 200 kg of water from 15oc to 80oc?

Answers

The heating coil of a water heater has a resistance of 20 ω and operates at 210 v.  It takes 5 hrs to raise the it take to raise the temperature of 200 kg of water from 15oc to 80oc.

What is resistance?

Obstruction is a proportion of the resistance to flow stream in an electrical circuit. Opposition is estimated in ohms, represented by the Greek letter omega (Ω). Ohms are named after Georg Simon Ohm (1784-1854), a German physicist who concentrated on the connection between voltage, current and opposition. In any case, obstruction and conductance are broad as opposed to mass properties, implying that they additionally rely upon the size and state of an item. Channels permit the free progression of power. Yet, in materials, for example, semiconductors and covers, the power encounters a specific power that goes against the free progression of electrons.

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A golfer hits a ball and gives it an initial velocity of 40 m/s, at an angle of 30 degrees above the horizontal.

A) how long does the ball stay in the air? (Answer is 4.08 sec)

B) how far horizontally (the range) does the ball travel before hitting the ground? (Answer 141 m)

I need help with getting the work. If y’all could explain, that would be so helpful and thank you.

Answers

(a) The ball will stay in the air for 4.08 s.

(b) The ball travels 141 m horizontally before hitting the ground.

This is a projectile motion problem, to solve the problems above, we need to use the formula of (a) Time of flight and (b) Range.

(a)

⇒ Formula

  T = 2Usin∅/g.................... Equation 1

⇒Where:

T = Time of flightU = initial velocity∅ = Angle above the horizontalg = acceleration due to gravity

From the question,

⇒Given:

U = 40 m/s∅ = 30°

⇒Assuming:

g = 9.8 m/s²

⇒Substitute these values into equation 1

t = 40sin30/9.8t = 2(40)(0.5)/9.8t = 40/9.8t = 4.08 s

Also,

(b) For Range

⇒ Formula

R = U²sin2∅/g............... Equation 2

⇒Substitute these values above into equation 2

R = 40²sin(2×30)/9.8R = 1600×0.866/9.8R = 141.38 mR ≈ 141 m

Hence, (a) The ball will stay in the air for 4.08 s (b) The ball travels 141 m horizontally before hitting the ground

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A. The ball stay in the air for 4.08 seconds.

B. The ball travel nearly 141 meter before hitting the ground.

Given that,  Initial velocity (v) of ball is 40 m/s, at an angle of 30 degrees above the horizontal.

[tex]v=40m/s, \theta=30,g=9.8m/s^{2}[/tex]

Here we use formula,

  [tex]t=\frac{2v*sin\theta}{g}\\\\range(R)=\frac{v^{2}*sin2\theta }{g}[/tex]

Substituting values in above equations.

[tex]t=\frac{2*40*sin30}{9.8}=\frac{2*40*0.5}{9.8}=4.08s\\\\R=\frac{(40)^{2}*sin60 }{9.8} =\frac{1600*0.866}{9.8} =141m[/tex]

Hence, The ball stay in the air for 4.08 seconds and The ball travel nearly 141 meter before hitting the ground.

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what phenomenon is applied in the drawing of kerosene by the wicks of a kerosene stove.

Answers

Capillarity phenomenon is applied in the drawing of kerosene by the wicks of a kerosene stove.

A liquid's ability to flow through small openings without the aid of outside forces is known as capillarity. Cotton or cotton threads make up the majority of the wicks.

The process of a liquid flowing in a small space without the aid of, or even in opposition to, any outside forces like gravity is known as capillary action.

Surface tension causes a liquid in a capillary tube to have the inclination to rise or descend, which is known as capillarity. the uses of capillarity. 1. Even a tall tree uses the capillary rise to give water to the leaves at the top.

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A variable is defined as a___ that can have ____than one single value.

Answers

Answer:

item/object; more

Explanation:

A variable is defined as an object or item that can have more than one single value.

A variable is defined as a quantity that can have more than one single value.

In the context of mathematics and science, a variable is a symbol or quantity that can change or vary. It represents an unknown or changing value that can take on different values in different situations or scenarios. Variables are used to describe relationships, equations, and patterns in various fields such as mathematics, physics, economics, and more.

Variables are an essential concept in scientific research and experimentation. They allow scientists to investigate how changes in one factor can affect another factor. In an experiment, variables are typically categorized into two main types: independent variables and dependent variables. The independent variable is the one that the researcher manipulates or controls to observe its effect on the dependent variable, which is the outcome being measured.

For example, in a study investigating the effects of different amounts of fertilizer on plant growth, the amount of fertilizer would be the independent variable, as it is being controlled by the researcher. The plant growth would be the dependent variable, as it depends on the different amounts of fertilizer applied.

Overall, variables are fundamental components of scientific inquiry, data analysis, and problem-solving, enabling researchers and scientists to understand and describe the relationships and patterns within various phenomena.

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Two long, parallel conductors, separated by 10.0cm, carry currents in the same direction. The first wire carries a current I₁ = 5.00A, and the second carries I₂ = 8.00 A. (d) What is the force per length exerted by I₂ on I₁?

Answers

The force per unit length by I₂ on I₁ is 8 × 10⁻⁵ N/m.

The force between two parallel currents I₁ and I₂ that are spaced apart by r is measured as the ratio F/L. If the currents are flowing in the same direction, the force is attracting; if not, it is repulsive.

Currents are carried in the same direction by two lengthy parallel conductors that are spaced apart by 10.0cm.

I₁ = 5.00 A and I₂ = 8.00 A are the currents carried by the first and second wires, respectively.

r = 10 cm

Let the current flow along both wires in the x direction, with the first wire located at y = 0 and the second at y = 10 cm.

Now, the magnitude of the magnetic field created by I₂ at the location of I₁ is:

[tex]B = \frac{\mu_{0} I}{2 \pi r}(-\hat{k})[/tex]

[tex]B = \frac{4 \pi \times 10^{-7} \times 8}{2 \pi \times 0.1}[/tex]

[tex]B = (1.60 \times 10^{-5})(-\hat{k})[/tex]

Then the force per unit length exerted by I₂ on I₁ will be:

[tex]F_B = I_{1}( L \times B) = (5) [ (1)\hat{i} \times 1.60 \times 10^{-5}(-\hat{k}) ][/tex]

[tex]F_B = 8 \times 10^{-5}{~} N[/tex] towards the second wire.

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When dissolved in water, an acid or a base breaks down into
a proton and an electron.
two negative ions.
a positive anda negative ion.
a positive ion and a proton

Answers

Answer:

A.) a proton and an electron

Answer:

C

Explanation:

the answer is a posotive and a negative ion

Science: PLZZZZ help due in 5 min THANK YOU!

Answers

Answer:

fridge microwave washer dryer tv fan dishwasher fish tank lights toaster coffee pot

Please tell me why did she leave?

Answers

Answer:

aye man you alright? I’m here for you if u need anything. just keep ur head king and stay strong, I’m sorry for what happened. she probs left bc she wanted another guy, lost feelings, or family/personal issues etc.

Jenny applies a 60 N force to a 20 kg cart , what is the acceleration of the cart if friction can be neglected

Answers

Hello!

a = 3 m/s²

Use the equation F = m · a (Newton's Second Law) to solve.

We are given the force and mass, so plug these values into the equation:

60 = 20 · a

60 = 20a

Divide both sides by 20:

60/20 = 20a/20

a = 3 m/s²

A ball is rolled down an incline from the 0.86 meter mark to the 0.32 meter mark.

Answers

The displacement of the ball rolled down the incline is determined as 0.54 m.

What is displacement?

The displacement of an object is the change in the position of the object.

Displacement is a vector quantity and has a direction and magnitude. It is represented as an arrow that points from the starting position to the final position.

The displacement of the ball is calculated as follows;

d = Δx

where;

Δx is change in position of the object

d = 0.86 m - 0.32 m

d = 0.54 m

Thus, the displacement of the ball rolled down the incline is determined as 0.54 m.

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The complete question is below;

A ball is rolled down an incline from the 0.86 meter mark to the 0.32 meter mark. Find the displacement of the ball.

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