a ball is rolling along a ground with a velocity of 10m/s and comes to rest after 8s.what is its acceleration

Answer:

F = 9800(42667 + 16000)

F = 5.75 × 10⁸N

Explanation:

Answer:

79%.

Explanation:

Step 1:

Data obtained from the question. This include:

Input temperature = 100 °C.

Output temperature = 22 °C.

Step 2:

Conversion of celsius temperature to Kelvin temperature.

Temperature (Kelvin) = temperature (celsius) + 273

T (K) = T (°C) + 273

Input temperature = 100 °C.

Input temperature = 100 °C + 273 = 373 K.

Output temperature = 22 °C.

Output temperature = 22 °C + 273 = 295 K.

Step 3:

Determination of the efficiency of the locomotive.

Input temperature = 373 K.

Outpu temperature = 295 K.

Efficiency =...?

Efficiency = output /input x 100

Efficiency = 295/373 x 100

Efficiency = 79.1 ≈ 79%

Therefore, the efficiency of the locomotive is approximately 79%.

Answer: s(5) = -200,  v(5) = -90

              s(10) = -900, v(10) = -190

Explanation:

Position: s(t)

Velocity:  s'(t) = v(t)                ⇒      [tex]s(t)=\int {v(t)} \, dt[/tex]

Acceleration     v'(t) = a(t)      ⇒      [tex]v(t)=\int {a(t)} \, dt[/tex]

We are given that acceleration a(t) = -20   and velocity v(t) = 10

[tex]v(t)=\int {a(t)} \, dt\\\\v(t)=\int{-20}\, dt\\\\v(t)=-20t + C \\\\v(t)=10\quad \longrightarrow \quad C=10\\\\v(t)=-20t+10[/tex]

[tex]s(t)=\int {v(t)} \, dt\\\\s(t)=\int {(-20t+10)} \, dt\\\\s(t)=-10t^2+10t\\\\[/tex]

(a) Input t = 5 into the s(t) and v(t) equations

   s(5) = -10(5)² + 10(5)           v(5) = -20(5) + 10

          =  -250  +  50                     = -100   +  10

          =       -200                          =        -90

(b) Input t = 10 into the s(t) and v(t) equations

     s(10) = -10(10)² + 10(10)           v(10) = -20(10) + 10

            =  -1000  +  100                     = -200   +  10

            =       -900                          =        -190

Answer:

5.10 m

Explanation:

Given that:

Initial velocity given to the ball, v = 10 m/s

Mass of the ball, m = 0.3 kg

Acceleration due to gravity, g = 9.8m/[tex]s^2[/tex]

To find: The height upto which the ball will go =  ?

Solution:

Initially, the ball will have kinetic energy and at top point the velocity will be zero, it will have only potential energy due to height.

Formula for kinetic energy and potential energy:

[tex]KE = \dfrac{1}{2}mv^2\\PE = mgh[/tex]

Applying conservation of energy principle:

[tex]\dfrac{1}{2}mv^2=mgh\\\Rightarrow \dfrac{1}{2}v^2=gh[/tex]

Putting the values of v and g to find h:

[tex]\Rightarrow \dfrac{1}{2}10^2=9.8\times h\\\Rightarrow h = \dfrac{50}{9.8}\\\Rightarrow h = 5.10\ m[/tex]

The ball will go 5.10 m high.

Answer:

balloon is rigid the amount of gas is constant inside the interior pressure of the balloon is constant and in these cities it becomes equal to or slightly higher than atmospheric pressure

Explanation:

Este ejercicio es referente a la mecánica de fluidos, usemos la expresión para la presión  

       P = ρ g h

En es el caso del balón  usemos la presión en la pared extrema, llamemos P la presión por el gas en el interior y P_ext la presión atmosférica del lugar

        cuando se llena el valor en una ciudad de baja altura la presión atmosférica es mas alta

          P_int1 < P_ext1

por lo cual la pared del balón no se mantiene rígida.

Cuando el balón es trasladado a una ciudad con mayor altura sobre el nivel del mar la presión exterior disminuye

       P_ext2 = ρ g h₂ < P_ext1

en promedio la presión disminuye con la altura  en 0,029 atm cada 250 m

por lo tanto como la cantidad de gas es constante en el interior la presión interior del globo es constante y en esta ciudades se hace igual o un poco mayor que la presión atmosférica, en consecuencia la pared del globo esta rígida

        P_int2 >P_ext2

Traslate

This exercise is related to fluid mechanics, let's use the expression for pressure

       P = ρ g h

In the case of the balloon, let's use the pressure on the extreme wall, let's call P the pressure for the gas inside and P_ext the atmospheric pressure of the place

        when the value is filled in a low-lying city the atmospheric pressure is higher

          P_int1 <P_ext1

therefore the wall of the ball does not remain rigid.

When the ball is transferred to a city with higher altitude above sea level, the external pressure decreases

       P_ext2 = ρ g h <P_ext1

on average the pressure decreases with height by 0.029 atm every 250 m

therefore as balloon is rigid the amount of gas is constant inside the interior pressure of the balloon is constant and in these cities it becomes equal to or slightly higher than atmospheric pressure, therefore the wall of the

        Pint 2> Pe

Answer:

Sound is a form of wave . Wave is defined as a periodic disturbance in medium.

Reasons:  

1. It follows all properties of light at a boudary.

2. Noise cancelling headphones.

3. It carry energy from one place to another.

Explanation:

I hope this will help you guy.

Sound wave is a mechanical type of wave because it requires a material medium for its propagation.

The following are three reasons sound is classified as a wave.

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Answer:

0.40

Explanation:

Given that :

the mass of the caer = 250 kg

initial speed = 14 m/s

final speed = 0 m/s

distance  s = 25 m

Using the equation of motion

[tex]v^2 = u^2 + 2as[/tex]

making a the subject of the formula ; we have:

[tex]v^2-u^2 = 2as[/tex]

[tex]a= \dfrac{v^2-u^2 }{2 \ s}[/tex]

[tex]a= \dfrac{(0)^2-(14)^2 }{2 \ (25)}[/tex]

[tex]a= \dfrac{0-196 }{50}[/tex]

[tex]a= \dfrac{-196 }{50}[/tex]

a = -3.92 m/s²

However; the relation for the coefficient of the kinetic static friction can be expressed as:

[tex]f= \mu_k *mg= ma[/tex]

[tex]f= \mu_k *g= a[/tex]

[tex]f= \mu_k = \dfrac{a}{g}[/tex]

[tex]f= \mu_k = \dfrac{3.92}{9.8}[/tex]

[tex]f= \mu_k = 0.40[/tex]

Answer:

 c = 5 m

Explanation:

this exercise you want to divide the rectangular room into two triangular rooms

the area of ​​triangles is

           A = ½ base height

           A = ½ 4 3

          A = 6 m²

the length of the curtain can be found using the Pythagorean theorem

           c² = b² + a²

           c = √ (4² + 3²)

           c = 5 m

this is the length of the curtain

[tex]\mathfrak{\huge{\pink{\underline{\underline{AnSwEr:-}}}}}[/tex]

Actually Welcome to the Concept of the Work And Energy.

So we here use the formula as,

W= Mgh

so after solving we get as,

W = 0.686 Joules

Answer:

Explanation:

Angle of rotation of the flat polished surface [tex]\theta[/tex] = 15°

angle of incidence i = 20°

Since the polished surface is turned at an angle of 15°, the angle of reflection

r = 2[tex]\theta[/tex] (Note that the angle of rotation only have effect of the angle of reflection)

r = 2*15 = 30°

The angle between the reflected ray and the incident ray will be equal to the sum of the angle of incidence and the angle of reflection i.e i+r

The angle between the reflected ray and the incident ray = 20°+ 30° = 50°

Answer:

Wavelength =50 m

Explanation:

Given:

n=20

t=10sec

V=25m/s

Wavelength =?

Solution:

Wavelength = frequency ×velocity ---> eq 1

Time period=time/no of vibrations

T=10/20=0.5sec

Frequency =1/Time period(T)

f=1/0.5=2

Put the value of frequency in eq 1

Wavelength =2×25

Wavelength =50m...

Hope you understand!

Have a nice day!

Answer:

The total time for the race is 11.6 seconds

Explanation:

The parameters given are;

Total distance ran by Willie = 100.0 m

Initial acceleration = 2.00m/s²

Top speed reached with initial acceleration = 12.0 m/s

Point where Willie start to fade and decelerate = 16.0 m from the finish line

Speed with which Willie crosses the finish line = 8.00 m/s

The time and distance covered with the initial acceleration are found using the following equations of motion;

v = u₀ + a·t

v² = u₀² + 2·a·s

Where:

v = Final velocity reached with the initial acceleration = 12.0 m/s

u₀ = Initial velocity at the start of the race = 0 m/s

t = Time during acceleration

a = Initial acceleration = 2.00 m/s²

s = Distance covered during the period of initial acceleration

From, v = u₀ + a·t, we have;

12 = 0 + 2×t

t = 12/2 = 6 seconds

From, v² = u₀² + 2·a·s, we have;

12² = 0² + 2×2×s

144 = 4×s

s = 144/4 =36 meters

Given that the Willie maintained the top speed of 12.0 m/s until he was 16.0 m from the finish line, we have;

Distance covered at top speed = 100 - 36 - 16 = 48 meters

Time, [tex]t_t[/tex] of running at top speed = Distance/velocity = 48/12 = 4 seconds

The deceleration from top speed to crossing the line is found as follows;

v₁² = u₁² + 2·a₁·s₁

Where:

u₁ = v = 12 m/s

v₁ = The speed with which Willie crosses the line = 8.00 m/s

s₁ = Distance covered during decelerating = 16.0 m

a₁ = Deceleration

From which we have;

8² = 12² + 2 × a × 16

64 = 144 + 32·a

64 - 144 = 32·a

32·a = -80

a = -80/32 = -2.5 m/s²

From, v₁ = u₁ + a₁·t₁

Where:

t₁ = Time of deceleration

We have;

8 = 12 + (-2.5)·t₁

t₁ = (8 - 12)/(-2.5) = 1.6 seconds

The total time = t + [tex]t_t[/tex] + t₁ =6 + 4 + 1.6 = 11.6 seconds.

Willie's total time to cover the race is 11.6 seconds.

A velocity-time graph is a graph that is used to represent a way in which the motion of an object can be represented with the velocity change on the vertical (y)-axis and change in time on the horizontal (x)-axis.

From the given information:

Using the following first equation of motion:

The time during the first acceleration can be computed as:

v = u + at

12 = 0 + (2 × t)

t = 12/2

t = 6 seconds

Using the fourth equation of motion, the distance covered in the first acceleration is determined as follows:

[tex]\mathbf{v^2 = u^2 + 2as}[/tex]

[tex]\mathbf{12^2 = (0)^2 + 2(2) \times s}[/tex]

144 = 4s

s = 144/4

s = 36 meters

However, he maintained a speed of 12.0 m/s till he is 16.0 m away from the finish line when he starts to decelerate.

Hence, at his highest speed;

Recall that:

[tex]Time = \dfrac{distance}{velocity}[/tex]

Thus, the time for running at his highest speed is:

[tex]\mathbf{time = \dfrac{48 m}{12 m/s}}[/tex]

time = 4 seconds

His deceleration from his highest speed can be computed as:

[tex]\mathbf{v^2 = u^ 2 + 2as}[/tex]

here:

[tex]\mathbf{v^2 - u^2=2as}[/tex]

[tex]\mathbf{a = \dfrac{v^2 - u^2}{2s}}[/tex]

[tex]\mathbf{a = \dfrac{8^2 - 12^2}{2(16)}}[/tex]

[tex]\mathbf{a = \dfrac{64 - 144}{32}}[/tex]

a = -2.5 m/s²

Finally, using the first equation of motion, the total time can be computed as:

[tex]\mathbf{v_1 = u_1 + a_1t_1}[/tex]

[tex]\mathbf{8= 12 + (-2.5)t_1}[/tex]

[tex]\mathbf{t_1 = \dfrac{(8- 12)}{ (-2.5)}}[/tex]

[tex]\mathbf{t_1 = \dfrac{(-4)}{ (-2.5)}}[/tex]

[tex]\mathbf{t_1 = 1.6\ seconds}[/tex]

Thus, the total time = (6+4+1.6) seconds

The total time = 11.6 seconds

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Answer:

Of course, with a triangle with a 90° angle, a right triangle, you can simply use pythagoras theorem  (a2+b2=c2)  then SOH-CAH-TOA to solve for the angle  (θ=Cos−1(adjacenthypotenuse)) .

But what if it isn't a right triangle? The cosine rule works for all triangles, even if they don't have a 90° angle.

a2=b2+c2−2(b)(c)Cos(A)  

Where a is the missing side, and A is the angle opposite to side a.

With this rule, we can find a missing angle or a missing side to any type of triangle, assuming you have the needed variables.

Explanation:

The box acted upon by the force of 5 N will move on a frictionless surface, with the condition S = P + Q.

The effect of a push or a pull on the body is known as force. The main types of forces include friction forces, nuclear forces, and gravitational forces. For instance, when a hand strikes a wall, the wall exerts a force on the hand as well as the hand exerting a force on the wall. Newton was given several laws to comprehend force.

Given: with a triangle with a 90° angle, a right triangle, you can simply use Pythagoras theorem  (a2+b2=c2)  then SOH - CAH - TOA to solve for the angle  (θ=Cos−1(adjacent hypotenuse)).

The cosine rule works for all triangles, even if they don't have a 90° angle.

a2=b2+c2−2(b)(c)Cos(A)  

A is the angle opposite to side a,

With this rule, we can find a missing angle or a missing side to any type of triangle, assuming you have the needed variables.

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Answer:

110 mL

Explanation:

Ideal gas law:

PV = nRT

Assuming the container isn't rigid, and the pressure is constant, then:

V/T = V/T

Plug in values (remember to use absolute temperature).

V / 293 K = 150 mL / 393 K

V = 110 ml

Hope u understood!

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Answer:

The answer is False

Hope this helps you

It is false that a neutral atom has the same number of protons as it does neutrons. The correct option is B.

The claim that "A neutral atom has the same number of protons as it does neutrons" is untrue. Protons and electrons in a neutral atom are equal in number, but neutron counts can change.

Electrons have a negative charge, whereas protons have a positive charge. A neutral atom has a net charge of zero because the protons' positive charge is balanced by the electrons' negative charge.

Neutrons don't have an electric charge, though. Within a single element, the amount of neutrons can change, giving rise to many isotopes.

Isotopes contain the same amount of protons, but their atomic masses vary depending on how many neutrons they have.

Thus, the correct option is B. False.

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Answer:

Option B

Explanation:

Kinetic Energy is the energy possessed by the body due to "motion".

The answer is:

Answer:

Electric Potential Energy:

The energy that is needed to move a charge against an electric firld is called Electric Potential Energy

Electric Potential Difference:

The amount of work done in carrying a unit charge from one point to an other in an electric field is called Electric Potential Difference.

Relation:

Relation between Electric potential and electrical potential energy is given by

[tex]\delta V=\frac{PE}{q}[/tex]

Here PE represents Electric potential energy

and [tex]\delta V[/tex] is Electric potential difference

it means electric potential difference is the difference in electric potential energy divided by the charge.

Answer:

the formula for tension is mg + ma. T is equal to tension, N, kg-m/s^2

Explanation:

I hope it helps you

Answer:

Hey!

Your answer is...

T = mg + ma

Explanation:

T = tension, N, kg-m/s^2

m = mass, kg

g = gravitational force, 9.8 m/s^2

a = acceleration, m/s^2

HOPE THIS HELPS!!

Answer:

Energy=3.1times 10^-17 J

Rest mass: 6.2 kg

Speed: 47.5 m/s

Wavelength: 2.659 times 10^-6

Momentum: 67.3 kg(m/s)

Explanation:

Answer:c

Explanation:

because it is the same

Answer: skull, vertebrae, ribs and sternum.

Explanation:

Answer: 0.5N

Explanation:

Gravitational force is calculated using the formula :

F = Gm1m2/r^2

Where G is the gravitational constant (6.67 × 10^-11)

At a distance 'r' of 2metres apart:

Mass of objects are m1 and m2

Gravitational force 'F1' = 2N

Inputting values into the formula :

2 = Gm1m2 / 2^2 - - - - - (1)

At a distance 'r' of 4meters apart:

Mass of objects are m1 and m2

Gravitational force 'F2' = y

Inputting values

F2 = Gm1m2 / 4^2 - - - - - (2)

Dividing equations 1 and 2

2 = Gm1m2 / 2^2 ÷ F2 = Gm1m2 / 4^2

2 / F2 = (Gm1m2 / 4) / (Gm1m2 / 16)

2 / F2 = (Gm1m2 / 4) × (16 / Gm1m2)

2/F2 = 16 / 4

Cross multiply

2 × 4 = 16 × F2

8 = 16F2

F2 = 8/16

F2 = 0.5N

Answer:

yeah..

as we all know that the cheapest fuel is petrol because it is the last product of petroleum.

hope it helps...

Answer:

In  a parallel circuit, the blank

is the same for every leg in the circuit why?

Explanation:

Because the voltage is common across the elements of a parallel circuit, the voltage drops are all equal to each other, and the ap- plied voltage is equal to any one of thJ individual voltage drops. are also 60v. In a series circuit, the same current flows. through every component.

Answer:

voltage

Explanation:

a    p    e    x

Explanation:

Given:

v₀ₓ = 15 m/s cos 20° = 14.10 m/s

aₓ = 0 m/s²

v₀ᵧ = 15 m/s sin 20° = 5.13 m/s

aᵧ = -9.8 m/s²

t = 1.5 s

Find: Δx and Δy

Δx = v₀ₓ t + ½ aₓ t²

Δx = (14.10 m/s) (1.5 s) + ½ (0 m/s²) (1.5 s)²

Δx = 21.1 m

Δy = v₀ᵧ t + ½ aᵧ t²

Δy = (5.13 m/s) (1.5 s) + ½ (-9.8 m/s²) (1.5 s)²

Δy = -3.33 m

Answer:

The force exerted by the brakes is 14,400,000 N

Explanation:

Initial kinetic energy of truck = 72 MJ

Work done by the breaks, W = Force exerted by the brakes × Distance, D, the truck came to stop

The distance, D, in which the truck came to a stop is given as 5 meters

Given that the initial kinetic energy, KE of the truck  that was reduced by the breaks = The work done by the brakes

We have;

W = ΔKE = Change in kinetic energy

ΔKE = Initial kinetic energy - Final Kinetic Energy

Initial kinetic energy, KE = 72 MJ

Final Kinetic Energy = 0 J (Truck stopped)

ΔKE = 72 - 0 = 72 MJ

Therefore we have;

Force exerted by the breaks = W/D = 72 MJ/5 = 14.4 MN. = 14,400,000 N.

Answer:

a) 50 rad/s

b) 39.8 rev

Explanation:

Given:

r = 0.36 m

v₀ = 0 m/s

a = 1.8 m/s

t = 10 s

a) Find: ω

v = at + v₀

v = (1.8 m/s) (10 s) + (0 m/s)

v = 18 m/s

ω = (18 m/s) / (0.36 m)

ω = 50 rad/s

b) Find: Δθ

Δx = v₀ t + ½ at²

Δx = (0 m/s) (10 s) + ½ (1.8 m/s) (10 s)²

Δx = 90 m

Δθ = (90 m) / (2π × 0.36 m)

Δθ = 39.8 rev

Answer:

0.82 m

Explanation:

Given:

v₀ᵧ = 4 m/s

aᵧ = -9.8 m/s²

Find: Δy when vᵧ = 0 m/s

vᵧ² = v₀ᵧ² + 2aᵧΔy

(0 m/s)² = (4 m/s)² + 2 (-9.8 m/s²) Δy

Δy = 0.82 m

The maximum height reached by the athlete is 0.82 meters.  The jump is not successful.

Answer:

P = 16,000 kgm/s

Explanation:

Given :

Mass = m = 800 kg

Velocity = v = 72 km/hr = 20 m/s

Required :

Momentum = P = ?

Formula:

P = mv

Solution:

P = (800)(20)

P = 16,000 kgm/s

Answer:

Explanation:

Momentum = Mass × Velocity

Mass = 800 kg

Velocity = 72 km/hr = 20 m/s

∴ Momentum = 800 × 20

= 16000 kgm/s

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Answer:

The length of the rope must be an integral multiple of the wavelength of the wave.

Explanation:

Answer:

The condition necessary for formation or a standing wave is that the length of the rope (or the length over which the wave is distributed) must be an integral multiple of the wavelength of the wave. Therefore, l=nλ where n is a positive integer.