When the pinball is 2.5 m above its initial location (on the way up), find its linear and angular speeds.

The correct answer is the recoil velocity of the cannon is equal to 90m/s.

The recoil velocity of the cannon is equal to 3.125m/s.

According to this law, the sum of the momentum before and after the collision must be equal.

m₁ u₁ + m₂u₂ = m₁v₁ + m₂ v₂

where m₁ and m₂ is the mass of the collided bodies, u₁ and u₂ are initial speed while v₁ & v₂ is final speed.

Conservation of momentum is a characteristic held by an object where the total amount of momentum never changes.

Given the mass of the cannonball, m₁ = 25 Kg

The velocity of the cannonball, v₁ = 200 m/s

The mass of the cannon, m₂ = 1600 Kg

Assume that v₂ is the recoil velocity of the cannon.

From the law of conservation of momentum: P(initial) = P (final)

m₁ v₁ = m₂ v₂

25 × 200 = 1600 × v₂

v₂ = 3.125 m/s

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The minimum force to keep the book from sliding is 15 N.

The minimum coefficient of friction to keep the book from sliding is 0.33.

The given parameters;

The normal force on the book is calculated as;

[tex]F_n = mg\\\\F_n = 0.5 \times 9.8\\\\F_n = 4.9 \ N[/tex]

The minimum force to keep the book from sliding is calculated as;

[tex]F - F_s = 0\\\\F_s = F\\\\F_s = 15 \ N[/tex]

The minimum coefficient of friction to keep the book from sliding is calculated as;

[tex]\mu_s F = F_n\\\\\mu_s = \frac{F_n}{F} \\\\\mu_s = \frac{4.9}{15} \\\\\mu_s = 0.33[/tex]

"Your question is not complete, it seems to be missing the following information";

When a force of 15 newtons is applied to the 0.50 kg book, the friction keeps the book from sliding down the wall. What is the minimum force and minimum coefficient of friction to keep the book from sliding?

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Malus's law allows us to find the result for which is the angle of the polarizer for a reduction of the intensity is:

          θ = 34.9º

Malus's law establishes a mathematical relationship for the light transmitted by a polarizer is:

          I = I₀ cos² θ

where I and I₀ are the transmitted and incident intensities, respectively, θ is the angle between the two polarizers.

They indicate that the incident light is polarized, so we do not need the first polarized to create the polarized light, ask what the polarized angle should be for the intensity to be reduced by a factor.

           [tex]\frac{I_o}{I } = 1.22 \\\frac{I}{Io} = 0.81967[/tex]

Let's use Malus's law

          i / Io = cos² θ

          cos θ = [tex]\sqrt{\frac{I}{I_o} }[/tex]  

          θ = cos⁻¹1 0.81967

          θ = 34.9º

In conclusion, using Malus's law we can find the angle of the polarized for a reduction of the intensity is:

          θ = 34.9º

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The jet must accelerate in 5.37 s if it must reach the lift-off speed

From the question given above, the following data were:

Initial velocity (u) = 0 m/s

Final velocity (v) = 120 m/s

Distance (s) = 322 m

The time needed for the jet to accerate can be obtained as follow:

[tex]s = \frac{(v + u)t}{2} \\ \\ 322 = \frac{(120 + 0)t}{2} \\ \\ 322 = \frac{120t}{2} \\ \\ cross \: multiply \\ \\ 120t = 322 \times 2 \\ \\ 120t = 644 \\ \\ divide \: both \: side \: by \: 120 \\ \\ t = \frac{644}{120} \\ \\ [/tex]

Thus, the jet must accelerate in 5.37 s in order to reach the lift-off speed

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As the jet leaves the ground, it accelerates at a rate of 22.4 ms-2.

We have the following information from the question;

Final velocity = 120 m/s

Initial velocity = 0 m/s

Distance covered = 322 m

Acceleration = ?

Using the equation;

v^2 = u^2 + 2as

v = final velocity

u = initial velocity

a = acceleration

s = distance

(120)^2 = 0^2 + (2 × a × 322)

14400 = 644a

a = 14400/644

a = 22.4 ms-2

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Answer:

Each oxygen isotope has 8 protons but a different amount of neutrons. The mass of an isotope is represented by its isotope number. As a result, oxygen 16 has eight protons and eight neutrons, oxygen 17 has eight protons and nine neutrons, and oxygen 18 has eight protons and ten neutrons.

Explanation:

Answer:

S = Vy t + 1/2 g t^2 = 1/2 g t^2    vertical speed with zero initial speed

t = (2 S / g)^1/2      with g = 32 ft/sec^2

t = (900 / 32)^1/2 = 5.30 sec    time to reach ground

V = a t = 32 ft/s^2 * 5.30 s = 170 ft/sec

170 ft/sec / (88 ft/sec / 60 mph) = 116 mph           since 88 ft/sec = 60 mph

Explanation:

Fgravity = G*(mass1*mass2)/D²

G is the gravitational constant, which has the same value throughout our universe.

D is the distance between both objects.

now, we change these numbers

Fgravitynew = G*(2*mass1*2*mass2)/(1/2 * D)² =

= G*(4*mass1*mass2)/(D²/4) =

= 4* (G*(mass1*mass2)/D²) *4 =

= 16* (G*(mass1*mass2)/D²) = 16*Fgravity

so, the new gravitational force will be 16×F.

Answer:

Explanation:

Sound waves exist as variations of pressure in a medium such as air. They are created by the vibration of an object, which causes the air surrounding it to vibrate. The vibrating air then causes the human eardrum to vibrate, which the brain interprets as sound.

Answer:

According to Washington, the most important factor in sustaining the independence of the United States was protecting the unity of the states. ... Members of the Democratic-Republican Party believed that a strong federal government would not respect the rights of the states and the people.

Explanation:

Brainliest please!

Have a good day!

:)

Answer:

1 tablet

Explanation:

The closest rounding of 1.04 that is in the answers is 1.

Answer:

WD = 11328 J → 1.1 × 10⁴ (to 2 sig figs)

Explanation:

WD = work done (J)

F = force (N), i.e. the normal force on the person

W = weight (N)

s = displacement (m)

m = mass (kg) = 60

a = acceleration (m/s²) = 2

g = gravity (m/s²) = 9.8

t = time (s) = 4

u = initial velocity (m/s) = 0

The formulas or equations that are relevant ate:

WD = F × s

F = m × a

W = m × g → note: this is simply a variation of the formula F = ma

s = ut + ¹/₂.at²

We want to find WD, so we need to know the force and the displacement (or distance);

Firstly, we want to find the normal force on the person in the elevator;

The downwards force the person produces on the elevator is the weight of the person, which is:

W = 60 × g

W = 60 × 9.8

W = 588

We are told the elevator is accelerating upward, so we can construct an equation to find F with the formula F = ma:

F - W = 60 × 2

F - 588 = 120

F = 708

Note: illustrations may be helpful to understand this, as has been shown in the picture

We also need displacement, which we use the formula s = ut + ¹/₂at²:

s = 0(4) + ¹/₂(2)(4)²

s = 16 m

Now we have F and s, we can calculate WD:

WD = 708 × 16

WD = 11328 J → This can be rounded to 1.1 × 10⁴ to 2 significant figures

The rate of change of vertical pressure is directly proportional to density and also directly proportional to temperature.

Generally, the relationship between temperature, density and rate of vertical pressure is given as;

[tex]\rho = \frac{PM}{RT}[/tex]

[tex]\frac{dP}{dz} = -\rho g\\\\[/tex]

where;

Thus, from the formula above, we can conclude the following relationship between temperature, density and the rate of vertical pressure change in spatial pattern of heights.

The rate of change of vertical pressure is directly proportional to density and also directly proportional to temperature.

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hindi ko po alam yan sorry po

Answer:

b

Explanation:

because the of F frick is the same of the size of F app

Answer:

D. Less rain and snow.  

Explanation:

A factor that can be a account for a drop in the water table is, less rain and snow. to topography, water tables is influenced by lot of factors, including the geology, weather, ground cover.

The force exerted on the pumpkin by the wall is 600 N

From the question given above, the following data were obtained:

Mass (m) = 2 Kg

Initial velocity (u) = 15 m/s

Final velocity (v) = 0 m/s

Time (t) = 0.05 s

The force exerted on the pumpkin by the wall can be obtained as follow:

[tex]f = \frac{m(v + u)}{t} \\ \\ f = \frac{2(0 + 15)}{0.05} \\ \\ f = \frac{2 \times 15}{0.05} \\ \\ f = \frac{30}{0.05} \\ \\ [/tex]

Therefore, the force exerted on the pumpkin by the wall is 600 N

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Answer:

U would need to know the depth of the water

Explanation:

Answer:

The doorbell transforms electrical energy into sound.

Explanation:

The doorbell MAY turn electrical energy into motion of a striker which then impacts a resonator creating sound. However all door bells do not have solenoids. Some are electronic playing recordings when activated.

All doorbells do produce sound, though.

The force acting on a stretchy  material is the product of of the spring constant and the displacement by stretching of the material. Thus, resultant force  of the material with a spring constant o 42 N/m with a displacement of 3.6 cm is 1.51 N downwards.

Force is an external agent acting on a body to change it form the state of rest or motion. There are various kinds of forces such as gravitational force, nuclear force, magnetic force, frictional force etc.

A stretching material such as a string will experience an elastic nature. The force F acting on the spring is directly proportional to the its displacement X. The proportionality constant is called spring constant.

Hence we can write it as ,

F = -kx

Here, the spring constant is given 42 N/m and displacement is 3.6 cm or 0.036 m. Now the force is calculated as follows:

Force =  -0.036 m ×  42 N/m

          =- 1.51 N

The negative sign indicates the direction is downwards.

Thus, the force acting on the material is 1.51 N.

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Each day the Moon's appearance changes depending on where it is in its earth orbit. The pattern of day and night is followed only due to the rotation of the earth.

The phrases revolution and rotation describe the various movements of the earth. Rotation is the tendency of the planet on its axis.

The movement of the earth around the sun is a definite path or orbit known as revolution. The earth's axis, a fictional line, makes a 6612° angle with its orbital plane.

The rotation of the earth on its axis does not cause night and day. The occurrence of night and day is caused by the rotation of the earth.

The lunar cycle begins when the Sun, Moon, and Earth are aligned (the Moon is between the Earth and the Sun, and the hemisphere of the Moon faces away from the Earth.

As a result, if the moon took longer to orbit the Earth, the pattern would be disrupted.

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Answer:

P = W / t     definition of power

P = F s / t = F v t / t = F v     power expended

v = 2 pi R f         f = frequency = rev / sec     (S = 2 pi R n = 2 pi R f t)

                                                                        and v = S / t

P = F 2 pi R f = 47.3 lb * 6.28 * .741 ft * 7.42 / sec = 1630 ft-lb/sec

(1630 ft-lb/sec) / (550 ft-lb/sec / HP) = 2.96 HP  

Answer:

11.2 m/s

Explanation:

We need to first figure out how long it took to reach the ball's max height:

Vf = 0

Vi = 30 m/s

a = -9.81 m/s^2

t = ?

---------------

Vf = Vi + at

0 = 30 + (-9.81)t  --->  -30 = -9.81t  ---> 3.058 = t

t = 3.058 s

---------------

We can now solve the problem by subtracting the given time (4.2s) by the max height time (3.058s) and plugging that into a kinematic equation for Vf:

Vi = 0

a = 9.81 m/s^2

t = (4.2s - 3.058s) = 1.142 s

Vf = ?

---------------

Vf = Vi + at

Vf = 0 + (9.81)*(1.142)  ---> Vf = 11.203

---------------

The velocity of the ball after 4.2s is 11.2 m/s

The centripetal acceleration of Tom sitting half-way from the edge of the merry-go-round is double of the centripetal acceleration of Sarah sitting at the edge of the merry-go-round.

Let the constant rate of their motion, = v

Let the radius of the merry-go-round = R

The centripetal acceleration of Sarah sitting at the edge of the merry-go-round is calculated as;

[tex]a_c_1 = \frac{V^2}{R}[/tex]

The centripetal acceleration of Tom sitting half-way from the edge of the merry-go-round is calculated as;

[tex]a_c_2 = \frac{V^2}{\frac{1}{2} \times R } \\\\a_c_2 = \frac{2V^2}{R} \\\\a_c_2 = 2(\frac{V^2}{R} )\\\\a_c_2 = a_c_1[/tex]

Thus, the centripetal acceleration of Tom sitting half-way from the edge of the merry-go-round is double of the centripetal acceleration of Sarah sitting at the edge of the merry-go-round.

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Answer:

1.a shadow is caused by an object blocking light so that it does not reach a surface. The area in shadow appears black because there is no light falling on it----it appears dark. In fact most shadows are not totally black because light usually bounces around the obstruction off other objects.

2.Shadow gives us the shape about the object and we can know the nature of that image by it's shadow. ... As shadow is complete with the all features of objects like it's shape, size and everything; This helps to know whether the shape of the object. Hence, Shadow tells us about the shape of the object.

3.The bird or an airplane flying high in the sky do not cast their shadow on the ground because they are at very high altitude due to which the ground which acts as screen for the shadow is far away and in absence of the screen the shadow cannot be formed.

Explanation:

BY Roses_are_Rosie

Answer:

hello!

Explanation: