why does polishing the surface of a metal extend fatigue life

From the information in the question, the acceleration of the cart is 2.55 ms-2.

We can find the acceleration using the following information from the question;

u = 0.9 m/s

v = 6 m/s

a =  2.0 seconds

But;

a = v - u/t

v = final velocity

u = initial velocity

t = time

a = 6 - 0.9/2 = 2.55 ms-2

Force= ma

m = mass

a = acceleration

F = 6 kg × 2.55 ms-2

F = 15.3 N

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As car is avoid skidding

[tex]\\ \sf\hookrightarrow \dfrac{mv^2}{r}=\mu mg[/tex]

[tex]\\ \sf\hookrightarrow \dfrac{v^2}{r}=\mu g[/tex]

[tex]\\ \sf\hookrightarrow v^2=\mu rg[/tex]

[tex]\\ \sf\hookrightarrow v^2=0.6(10)(150)[/tex]

[tex]\\ \sf\hookrightarrow v^2=60(150)[/tex]

[tex]\\ \sf\hookrightarrow v^2=900[/tex]

[tex]\\ \sf\hookrightarrow v=30ms^{-1}[/tex]

Done

The minimum velocity of the with which the car driver must traverse the flat curve to avoid skidding is 29.7 m/s.

The given parameters:

The minimum velocity of the with which the car driver must traverse the flat curve to avoid skidding is calculated as follows;

[tex]\frac{mv^2}{r} = \mu mg\\\\v^2 = \frac{\mu mgr}{m} \\\\v^2 = \mu gr\\\\v = \sqrt{\mu gr} \\\\v = \sqrt{0.6 \times 9.8 \times 150} \\\\v = 29.7 \ m/s[/tex]

Thus, the minimum velocity of the with which the car driver must traverse the flat curve to avoid skidding is 29.7 m/s.

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Answer:

not able to understand the question

From Newton's second law of motion, the average force on the ball by the racket is 98 Newtons. The correct answer is option C

Given that a 0.07 kg tennis ball, initially at rest, leaves a racket with a speed of 56 m/s. And the time for contact with the racket is 0.04 s, that is,

mass m = 0.07 kg

velocity v = 56 m/s

time t = 0.04 s

force f = ?

To calculate the average force on the ball by the racket, let us apply Newton's second law of motion.

Impulse = change in momentum

ft = mv

Substitute all the parameters into the equation above

0.04f = 0.07 x 56

make f the subject of the formula

f = 3.92 / 0.04

f = 98 N

Therefore, the average force on the ball by the racket is 98 Newtons. The correct answer is option C

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The average force on the ball by the racket is 98 N. The correct option is the third option - 98 N

From the question, we are to determine the average force on the ball by the racket.

From the formula,

[tex]F = \frac{mv}{t}[/tex]

Where F is the force

m is the mass

v is the velocity

and t is the time

From the given information

m = 0.07 kg

v = 56 m/s

t = 0.04 s

Putting the parameters into the formula,

we get

[tex]F = \frac{0.07 \times 56}{0.04}[/tex]

[tex]F = \frac{3.92}{0.04}[/tex]

F = 98 N

Hence, the average force on the ball by the racket is 98 N. The correct option is the third option - 98 N

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The feeling can either be positive or negative.

A positive feeling can occur when one performs very well in the given home. Also, a positive feeling can come from a high level of satisfaction in the homework. When you complete your homework on time using the recommended steps, you will be sure to do well on the homework.

In other hand, a negative feeling may result from poor performance in the homework. In ability to complete the homework or missing some steps in the homework can increase your level of trepidation even before seeing your score.

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From summation and resultant of forces, the four answers are:

i.  ∅ = 34 degrees

ii. M = 0.48 kg

iii. V = 37.5 m/s

iv. V = 37.5i + 0j + 0k

Given that Three forces acting on an object are

F1 = (−2.00 i + 2.00 j) N

F2 = (5.00 i − 3.00 j) N

F3 = (−45.0 i) N.

If the object experiences an acceleration of magnitude 3.75 m/s2.

i. The direction of the force will be the direction of the acceleration.

Sum of the forces = (-2 + 5 - 4.5)i + (2 - 3 + 0)j

Sum of the forces = -1.5i -j

The acceleration direction will be

tan∅ = [tex]\frac{y}{x}[/tex]

tan∅ = [tex]\frac{1}{1.5}[/tex]

∅ = [tex]tan^{-1}[/tex] (0.67)

∅ = 34 degrees (approximately)

ii. The mass of the object can be calculated from Newton's law.

Resultant force = mass x acceleration.

Resultant force = [tex]\sqrt{1.5^{2} + 1^{2} }[/tex]

Resultant force = [tex]\sqrt{3.25}[/tex]

Resultant force = 1.8N

Then,

1.8 = 3.75M

M = 1.8 / 3.75

M = 0.48 kg

iii. If the object is initially at rest, the speed of the object after 10.0 will be calculated by using first equation of motion.

V = U + at

Where U = 0

V = 0 + 3.75 x 10

V = 37.5 m/s

Therefore, the speed of the object after 10.0 is 37.5 m/s

iv. The velocity components of the object after 10.0 are

V = 37.5i + 0j + 0k

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Answer:

Explanation:

Height(h) = 4m; depth of the half filled tank 4m/2 =2m

Acceleration due to Gravity (g)=9.8m/s^2

Density (d)=1000kg/m^3

Pressure = hdg

Pressure = 2m × 9.8m/s^2 × 1,000kg/m^3

Pressure = 19,600Pa

Answer:

So as two objects are separated from each other, the force of gravitational attraction between them also decreases. If the separation distance between two objects is doubled (increased by a factor of 2), then the force of gravitational attraction is decreased by a factor of 4 (2 raised to the second power).

Explanation:

hope his helps

Answer:

A. True

Explanation:

edge 2022

The blue, hotter stars tend to have shorter lifetimes than the , cooler stars; this is a true fact as the lifespan of a star is determined by its mass. Blue, hotter stars have higher masses than red, cooler stars.

The lifespan of a star is largely determined by its mass because a star's mass affects its internal pressure, temperature, and nuclear fusion rate, and more massive stars have stronger gravitational forces, which lead to higher pressures and temperatures in their cores. The rate of nuclear fusion reactions in a star determines how quickly it consumes its fuel, which in turn affects the lifespan of the star. Blue, hotter stars have a higher rate of nuclear fusion reactions and consume their fuel much more quickly than red, cooler stars.

Hence, the blue, hotter stars tend to have shorter lifetimes than the redder, cooler stars.

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When the planet is closest to the Sun, speed v and kinetic energy are the highest, and gravitational potential energy is the lowest. When the planet moves farther away, the speed and kinetic energy decrease, and the gravitational potential energy increases.

Answer:

40cm³

Explanation:

I only have an answer to 1a

Volume = Length X breadth X height

where;

length = 10cm

breadth = 2cm and;

width = 2cm

*Find*

V = ?

V = L X B X H

V = 10 X 2 X 2

= 40cm³✓

The  final speed of the combined masses is 0.186m/s

According to the law of collision, the sum of the momentum of the bodies before the collision is equal to the momentum after the collision.

Mathematically;

m1u1 - m2u2 = (m1+m1)v

Substituting the given parameters;

0.24(0.6) - 0.26(0.2) = (0.24+0.26)v

0.144 - 0.052 = 0.5v

0.092 = 0.5v

v = 0.092/0.5

v = 0.184m/s

Hence the final speed of the combined masses is 0.186m/s

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Explanation:

hope this may help you

have a nice day

Answer:

An object in motion will stay in motion at the same speed and in the same direction (ie with constant velocity) unless a force makes it change.

Explanation:

Answer:

≈19.144°C.

Explanation:

all the details are in the attachment.

Note, that c₁, m₁, t₁ are the parameters of the sample of brass; c₂, m₂ and t₂ are  the parameters of the sample of water.

P.S. change the provided design according Your requirements.

Answer:

Atomic mass

Explanation:

Answer:

atomic mass

Click thanks if thankc if this helped

Answer:

It looks yellow because that is the only (major) color reflected.

Visible spectra is from about 4000-7000 Angstroms (10^-10 m).

Red are longer wavelengths and blue are the shorter wavelengths.

The Sodium doublet (yellow) occurs around 5900 Angstroms.

Answer:

a = v^2 / R      centripetal acceleration

R = v^2 / a     a at the surface of earth is 9.8 m/s^2

R = (90 m/s)^2 / 9.8 m/s^2 = 827 m

Answer:

A-Caclcuate the potential energy of the ball at that height

Explanation:

(a). Mass of the Body = 10 kg.

Height = 10 m.

Acceleration due to gravity = 9.8 m/s².

Using the Formula,Potential Energy = mgh

= 10 × 9.8 × 10 = 980 J.

(b). Now, By the law of the conservation of the Energy, Total amount of the energy of the system remains constant.

∴ Kinetic Energy before the body reaches the ground is equal to the Potential Energy at the height of 10 m.

∴ Kinetic Energy = 980 J.

(c). Kinetic Energy = 980 J.

Mass of the ball = 10 kg.

∵ K.E. = 1/2 × mv²

∴ 980 = 1/2 × 10 × v²

∴ v² = 980/5

⇒ v² = 196

∴ v = 14 m/s.

We can ensure that the solar panels generate a current that Mark can use for his power station is by gradually increasing the brightness (amount) of light that we reflect on it.

Solar panel are photo-voltaic module or cells which means they uses sunlight as a source of energy to generate current.

when the sun rays hit a silicon crystal of the solar panel then the electron inside of the solar panel start to charge and travel rapidly. when such charged electron flow through the circuit then the solar panel generate electricity.

    So, to optimize the electricity generation, the energy of light is to be maximized which is determined by the frequency of the source.

Hence,  To ensure that the solar panels generate a current that Mark can use for his power station we need to gradually increase the brightness (amount) of light that we reflect on it.

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Answer:

This is the answer that I got.

Explanation:

Hope it is right.

Happy Holidays!

We can use the following equation to solve for the gravitational force:

[tex]\large\boxed{F_g = G\frac{m_1m_2}{r^2}}[/tex]

Fg = force due to gravity (N)

G = Gravitational constant

m1,m2 = masses of the objects (kg)

r = distance between the objects (m)

Plug in the given values into the equation:

[tex]F_g = (6.67*10^{-11})\frac{(70)(60)}{(2)^2}} = \boxed{7.0 * 10^{-8}N}[/tex]

Answer:

I’d say both anabolic and catabolic chemical reactions make life on Earth possible. Anabolic is the building up of molecules from atoms or small molecules and catabolic is the chemical reactions of breaking them down.

Explanation:

Answer:

People depend upon plants to satisfy such basic human needs as food, clothing, shelter, and health care. These needs are growing rapidly because of a growing world population, increasing incomes, and urbanization . Plants provide food directly, of course, and also feed livestock that is then consumed itself.

Answer:

The speed of other projectile is [tex]3.1m/s[/tex]

Explanation:

Range of projectile is given by the equation

[tex]\mathrm{R}=\frac{\mathrm{u}^{2} \cdot \sin 2 \theta}{\mathrm{g}}[/tex]

Here we have same range

Hence

[tex]\frac{\mathrm{2.5}^{2} \cdot \sin (2 \times 65)}{\mathrm{g}}=\frac{\mathrm{u}^{2} \cdot \sin (2 \times 15)}{\mathrm{g}}\\\\u^2=\frac{2.5^2\sin130}{\sin30} \\\\u=3.10m/s[/tex]

Here

initial velocity=u

Now

[tex]\\ \sf\longmapsto R_1=R_2[/tex]

[tex]\\ \sf\longmapsto \dfrac{u_1^2sin2\theta_1}{g}=\dfrac{u_2^2sin2\theta_2}{g}[/tex]

[tex]\\ \sf\longmapsto \dfrac{(2.5)^2.sin2(65)}{g}=\dfrac{u_2^2sin2(15)}{g}[/tex]

[tex]\\ \sf\longmapsto 6.25sin130=u_2^2sin30[/tex]

[tex]\\ \sf\longmapsto 6.25(0.76)=u_2^2(0.5)[/tex]

[tex]\\ \sf\longmapsto 5.13=0.5u_2^2[/tex]

[tex]\\ \sf\longmapsto u_2^2\approx 10[/tex]

[tex]\\ \sf\longmapsto u_2\approx 3.1m/s[/tex]

Option B is correct

f(3) represents the number of additional square feet the construction crew has paved after 3 hours, not including the initial paved amount.

Mathematical models are representations of real situations. Models often serve the purpose of prediction and can help to explain and simplify certain mathematical problems.

The model; f(x) = 300x + 1,000 represents the number of additional square feet that can be paved in an hour after 1,000 square feet has already been paved.

From the above we can see that the correct answer is; "900 square feet; f(3) represents the number of additional square feet the construction crew has paved after 3 hours, not including the initial paved amount."

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Explanation:

Ummm i think a timer or clock?

Answer: Timer or a clock

Explanation:

Answer:

Matter

Hope you could get an idea from here.

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