Prove that the two equations shown below are equivalent.​

F = ma and F = p/t​

Answers

Answer 1

Newton’s Second Law of Motion is defined as Force is equal to the rate of change of momentum. For a constant mass, force equals mass times acceleration.

[tex]\Delta p = mv - mu \\\\\implies \Delta p = m(v-u) \\\\F = \dfrac{\Delta p}{\Delta t} = \dfrac{m(v-u)}{\Delta t} = ma[/tex]

Answer 2

F = ma is the formula of Newton’s Second Law of Motion.

To prove Newton's second law of motion,

Given Force F = Δp/Δt

What is relation between F = ma and F = Δp/Δt?Newton’s Second Law of Motion is defined as Force is equal to the rate of change of momentum. The second law of Newton can be described as the acceleration of an object which produces a net force is directly proportional to the magnitude of the net force, in the same path i.e., direction as the net force, and inversely proportional to the mass of the object.As the acceleration has its magnitude and direction it is a vector quantity.

Proof for F=ma

     Let us consider an object of mass m, moving along a straight line with an initial velocity u, final velocity v and it has some particular time t and thus Momentum can be related as,

For initial velocity u, p1 = m × u

The final velocity v, p2 = m × v

The change in momentum can be expressed as

p2 – p1 = (m × v) – (m × u)

p2 – p1 = m (v – u)

Here, we know that the rate of change of momentum with respect to time is proportional to the applied force.

The applied force F,

F ∝ [m (v – u)]/t

F ∝ m × a

As acceleration (a) is the rate of change of velocity with respect to time.

F = k × m × a

F = ma

where k can be the constant.

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Related Questions

NO LINKS! What are the definitions of initial horizontal velocity and initial vertical velocity? Please help! This like is my 20th time asking this question because many people have been scamming me...

Answers

Answer:

answer

Explanation:

The initial horizontal velocity canbe determined by measuring the diameter of the ball and dividing by the time that it takes for the ball to move across the photogate. That is Vo = d/t.

When Vertical velocity refers to the speed of an object's movement in a vertical direction.

The c-c sigma bond in acetylene is formed by the overlap of which two orbitals.

Answers

Answer:When carbon atom tends to form single bonds then its hybridization is , when carbon atom tends to form double bond then its hybridization is  and when a carbon atom is attached to a triple bond or with two double bonds then its hydridization is sp.

For example, in HCN molecule there is a triple existing between the carbon and nitrogen atom.

So, hybridization of carbon in this molecules is sp. Moreover, nitrogen atom is also attached via triple bond and it also has a lone pair of electrons. Hence, the hybridization of nitrogen atom is also sp.

Thus, we can conclude that s and p type of orbitals overlap to form the sigma bond between C and N in H−C≡N:

Explanation:

A champion weight lifter raises a 240 kg barbell a distance of 2.1 m. How much potential energy has

the barbell gained?

Answers

Answer:

Your answer is below …….

Explanation:

25. Brutus, a champion weightlifter, raises

240 kg of weights a distance of 2.35 m.

a. How much work is done by Brutus

lifting the weights?

W=Fd=mgd

= (240 kg)(9.80 m/s2)(2.35 m)

= 5.5 x 103j

b. How much work is done by Brutus

holding the weights above his head?

d=0, so no work

c. How much work is done by Brutus

lowering them back to the ground?

d is opposite of motion in part a, so

W is also the opposite, -5.5 x 103 J.

d. Does Brutus do work if he lets go of

the weights and they fall back to the

ground?

No. He exerts no force, so he does

no work, positive or negative.

If Brutus completes the lift in 2.5 s.

how much power is developed?

* = multiply

[tex]P = \frac{W}{t} = \frac{5.53 * 10x^{3} J}{2.5s} = 2.2 kW[/tex]

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Which do you think is easiest and hardest to keep track of: hazardous waste that is present as a gas, liquid, or solid? Why?

Answers

Answer:

probably liquid cause it can be contained easily

A girl pushes her little brother on his sled with a force of 300 N for 750 m.

Answers

Please find attached photograph for your answer.

Hope it helps.

Do comment if you have any query.

When waves are closer together and there are more waves, then the wave has a higher ____________.

Answers

Answer:

When waves are closer together and there are more waves, then the wave has a higher frequency.

Explanation:

Hoped this helped.

Answer:

frequency

Explanation:

Can Hotspots can be found at the edges of tectonic plates?

Answers

Answer:

No.

Explanation:

Hot spots don't appear at the barriers of tectonic plates, instead, they originate at hot centres known as mantle plumes. Mantle plumes exist below the tectonic plates and may develop a string of volcanoes on the Earths surface.

What feature of a planet's orbit does Kelper's first law of motion describe?
A. the time required for each orbit
B. the shape
C. the distance from the aphelion to the perihelion
D. the distance to the sun

Answers

The answer is going to be letter B

How much would a 70 kg student weigh on Pluto? (massPluto = 1.25 x 1022 kg, radiusPluto = 1.20 x 106 m)

Answers

Answer: the weight would be 4.6 (I think i don’t know))

Explanation:

A boy pushes a stationary box of mass 20 kg with a force of 50 N.
Calculate the acceleration of the box. (Assume that there is no friction.)

Answers

Answer:

2.5m/s^2

Explanation:

Since there is no friction, the only force acting on the box is the applied force

We can now use the equation Fnet = ma

and we can rearrange for a

a = Fnet/m

now input the values

a = 50N/20kg

a = 2.5 m/s^2

When waves are closer together, the distance between them is _________, therefore the waves have __________ wavelength.

Answers

Answer:

less' shorter

Explanation:

be cuase science

Answer:

The answer is D.

Explanation:

When waves are closer together, the distance between them is less, therefore the waves have longer wavelength.

Please help :[ Hold a flat piece of paper horizontally. Lift it high in front of you, and drop it. Then crumple a piece of paper into a tight ball, hold it high in front of you, and drop it from the same height. Compare the motion of the two pieces of paper.

Answers

The one you lifted in front of you ( the flat piece of paper being holded horizontally ) goes down so slow. While the one being crumpled into a ball goes down fast. Subscribe to DreamfanBG for support.

Answer:

Answer below

Explanation:

The flat piece of paper just gently glided to the ground, as if it were a feather. It didn’t go down in a straight line, it swayed from side to side. The crumpled piece of paper seemed like it had more weight to it (although I know that it didn’t), and it fell way quicker than the flat piece of paper.

_____________________________________________________

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Why are people so rude???

Answers

Answer:

It could be low self-esteem

Explanation:

There probably insecure have problems and issues of their own could be that were abused growing up and weren’t treated right who knows.

What symbols are these?

Answers

Answer:

the bottom one is wollsiegel

Help plz????????? Giving out Brainly

Answers

Answer:

Answer should be (B)

Explanation:

If the forces on an object are balanced (or if there are no forces acting on it), this is what happens: a stationary object stays still. a moving object continues to move at the same speed and in the same direction.

ALSO: forces acting upon an object are balanced, then the object will maintain its state of motion. To maintain the state of motion is to keep the current speed and direction. But if the forces are not balanced, the object will change its state of motion.

I will give 100 Points, 5-stars, and Brainliest

Direct contact is necessary for which type of energy transfer?

A. Conduction

B. Sound Waves

C. Conduction

D. Convection

Answers

Answer:

Conduction

Explanation:

Because when a molecule is transferred to another molecule then this in going into direct contact

For example if we have a pan and it is boiling well the heat that is on the pan holder that stays in place and it won`t move anywhere else like there is Radiation and Convection but for this question the answer would be Conduction

A car starts from rest, then accelerates at 1.20 m/s2 for 7.00 s. It hits the brakes,
slowing to a stop at a rate of -4.25 m/s2.
What is the total distance travelled?

Answers

Answer:

the answer is 4.15 m/s2

Explanation:

4.15 m/s2

Which colour of light is refracted more by a prsim green or blue.explain​

Answers

Answer:

The light waves are refracted as they enter and leave the prism. The shorter the wavelength of the light, the more it is refracted. As a result, red light is refracted the least and violet light is refracted the most - causing the coloured light to spread out to form a spectrum.

Explanation:

hope this helps

Answer: Neither, its actually violet aka purple. This is because it has the shortest wavelength. This is also why red light is refracted the least because it has the longest wavelength.

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Of the Three elements listed, which element is NOT present in the mixture?

Element D
Element A
Element Z

Answers

Answer:

element ammmkkkv was a very good

Give an example of when a conscientious objector might exercise their right:

Answers

Am sorry what can you be more specific

A space ship, initially traveling at a speed of 1,265 m/s, begins to accelerate at a rate of 16
m/s/s. Find the speed of the space ship after it accelerates for 41 s ?

Answers

Answer:

I Think the answer is 1380

Explanation:

Answer: press the link

Explanation:

During a ______ Moon phase, the side of the Moon facing Earth isn't reflecting any sunlight from the Sun.
A: Full

B: New

Answers

Answer:

B) New

During a new Moon phase, the side of the Moon facing Earth isn't reflecting any sunlight from the Sun.

Se lanza un balón verticalmente hacia arriba con una velocidad de 72 km/h. ¿Qué altura recorrió dicho cuerpo después de 0.05 minutos? (g = 10m/s2)

Answers

Usando la información contenida en la pregunta, la distancia que recorre la bola hacia arriba es de 15 m.

Velocidad inicial = 20 m / s

Tiempo= 3 s

Aceleración por gravedad =  10 ms-2

Velocidad final = 0 m / s

Usando la ecuación;

h = u t - 1 / 2 g t 2

h = (20 × 3) - 1/2 × 10 × (3) ^ 2

h = 60 - 45

h = 15 m

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A 5.77 kg object is tied to the end of a cord and whirled in a horizontal circle of radius 355 cm. The object completes 4.4 revolutions every 6.94E-3 hours. What is the centripetal force exerted on the object?

Answers

The centripetal force exerted on the object is 25.24 N.

The given parameters:

mass of the object, m = 5.77 kgradius of the circle, r = 355 cm = 3.55 mnumber of revolutions, N = 4.4 rev for 6.9 x 10⁻³ hours

The angular speed of the object is calculated as follows;

[tex]\omega = \frac{4.4 \ rev}{6.9 \times 10^{-3} \ h} \times \frac{1 \ h}{3600 \ s} \times \frac{2 \ \pi \ rad}{1 \ rev} = 1.11 \ rad/s[/tex]

The centripetal force exerted on the object is calculated as follows;

[tex]F =m \omega ^2 r\\\\F = 5.77 \times (1.11)^2 \times 3.55\\\\F = 25.24 \ N[/tex]

Thus, the centripetal force exerted on the object is 25.24 N.

Learn more about centripetal force here: https://brainly.com/question/20905151

How to solve projectile motion problems with angles.

Answers

Answer:

R=v2isin2Big R

=v I 2 sin 2 B I g

What is the orbital period of a spacecraft in a low orbit near the surface of mars? the radius of mars is 3. 4×106m.

Answers

Answer:

if not sure sorry hope someone helps u❤️

calculate the density, in g/l, of sf6 gas at 27°c and 0.500 atm pressure.

Answers

The density of the SF₆ gas at the given pressure and temperature is 2.96 g/l.

The given parameters:

temperature of the SF₆ gas, T = 27 ⁰C = 273 + 27 = 300 Kpressure of the SF₆ gas, P = 0.5 atm

The molecular mass of the SF₆ gas is calculated as follows;

M of SF₆ = 32 + (6 x 19) = 146 g/mol

The density of the SF₆ gas is calculated by applying ideal gas law as follows;

[tex]PV = nRT\\\\PV = \frac{m}{M} RT\\\\PM = \frac{m}{V} RT\\\\PM = \rho RT\\\\\rho = \frac{PM}{RT}[/tex]

where;

[tex]\rho[/tex] is the density of the gasR is the ideal gas constant = 0.0821 L.atm/mol.K

[tex]\rho = \frac{0.5 \times 146}{0.0821 \times 300} \\\\\rho = 2.96 \ g/l[/tex]

Thus, the density of the SF₆ gas at the given pressure and temperature is 2.96 g/l.

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Which state of matter has molecules that move the most?

liquid

solid

gas

They are all the same.

Answers

Answer:

gas

Explanation:

in gaseous state molecules move the most because force of attraction between atoms are least in gaseous state

A particular roller coaster has a mass of 3500 kg, a height of 4.0 m, and a velocity of 12 m/s. What is the kinetic energy? If needed, use g= 10. m/s^2

Answers

Explanation:

given

m=3500kg,h=4.0m,v=12m/s

ke=½mv²

½×3500×12²=3500×144÷2

=252,000j or 252j

Which of the following processes generated heat during earths formation that is still a source of heat in earths interior

Answers

Answer:

There are three main sources of heat in the deep earth: (1) heat from when the planet formed and accreted, which has not yet been lost; (2) frictional heating, caused by denser core material sinking to the center of the planet; and (3) heat from the decay of radioactive elements
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