A stone is thrown vertically upward with the velocity of 25 m/s. How long day
it take to reach the maximum height? Also calculate the height​

Condense x₁ to get

sin(2πt) + cos(2πt) = √2 • (sin(2πt) + cos(2πt))/√2

… = √2 (cos(2πt) cos(π/4) + sin(2πt) sin(π/4))

… = √2 cos(2πt - π/4)

So the amplitude of x₁ is (5/2) • √2 = 5/√2, while the amplitude of x₂ is 5. The ratio between them is then 5/√2 : 5, or equivalently 1/√2 : 1 or 1 : √2.

Answer:

2 m/sec

Explanation:

speed = distance/time so v = 100/50 m/sec = 2 m/sec.

Answer:

Explanation:

Assuming there is no friction or other force involved, recall that energy is conserved in a system as long as no external force acts on the system.

Using the data from point C, we can find out that the total energy of the system is 156 because  \(E = K+Pe\).

Since at point A the object doesn't move, it has Kinetic energy of 0, because \(K=\frac{1}{2} mv^2\), therefore \(0=\frac{1}{2} m0^2\). However at point A it has maximum Potential energy, because \(Pe=mgh\).

At point B, we can find the Kinetic energy by using \(E = K+Pe\). Substitute values:

\(156=104+K\\52=K\)

At point D, the object has maximum kinetic energy and no potential energy, therefore it's the opposite of point A.

Answer:

THE IS ANSWER IS D

Explanation:

I GOT THIS CORRECT ON MY EXAM!

Answer:

Ionic charges refer to the electrical charges of ions, which are atoms or molecules that have gained or lost electrons. These charges result from the loss or gain of electrons during chemical reactions.

When an atom loses one or more electrons, it becomes a positively charged ion known as a cation. The cation carries a positive charge equal to the number of electrons lost.

Conversely, when an atom gains one or more electrons, it becomes a negatively charged ion known as an anion. The anion carries a negative charge equal to the number of electrons gained.

The magnitude of the ionic charge depends on the number of electrons gained or lost, which is determined by the element's position in the periodic table and its electron configuration. For example, sodium (Na) loses one electron to become a +1 charged cation (Na+), while chlorine (Cl) gains one electron to become a -1 charged anion (Cl-).

The term "moment of inertia" refers to the quantity that describes how a body resists angular acceleration. It is calculated by multiplying each particle's mass by its square of the distance from the axis of rotation.

A rigid body's moment of inertia—also referred to as its mass moment of inertia, angular mass, second moment of mass, or—most precisely—rotational inertia—determines the torque.

"I = L / W"

Let Ja be the moment of inertia of the legs.

When leg at 90 degrees,

Ja1 = 1.44 kgm² = m*1²...m = 1.44/1 = 1.44

When both legs at 26.5°

sin 26.5°= 0.45

Ja2 = 2*m*(sen26.5)² = 2.88*.45² = 0.58 kgm²

Jt1 = Ja1 + Jt = 1.44 + 0.76 = 2.15 kgm²

Jt2 = Ja2+Jt = 0.58+0.706 = 1.29 kgm²

wf/w = Jt1/Jt2 = 2.15/1.29 = 1.67

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Answer:

Q = 913.9 gpm

Explanation:

The Hazen Williams equation can be written as follows:

\(P = \frac{4.52\ Q^{1.85}}{C^{1.85}d^{4.87}}\)

where,

P = Friction Loss per foot of pipe = \(\frac{0.4}{1000\ ft}\) = 4 x 10⁻⁴

Q = Flow Rate in gallon/min (gpm) = ?

d = pipe diameter in inches = (400 mm)(0.0393701 in/1 mm) = 15.75 in

C = roughness coefficient = 100

Therefore,

\(4\ x \ 10^{-4} = \frac{4.52\ Q^{1.85}}{(100)^{1.85}(15.75)^{4.87}}\\\\Q^{1.85} = \frac{4\ x \ 10^{-4}}{1.33\ x\ 10^{-9}} \\\\Q = (300384.75)^\frac{1}{1.85}\)

Q = 913.9 gpm

Answer:

η = 0.84 = 84%

Explanation:

The efficiency of the man can be given by the following formula:

η = output/input

where,

η = efficiency of man = ?

output = potential energy gain of the block = mgh

input = work done by man = Fd

Therefore,

\(\eta = \frac{mgh}{Fd}\)

where,

m = mass of block = 225 kg

g = acceleration due to gravity = 9.81 m/s²

h = height gained by block = 1.2 m

F = force exerted by man = 315 N

d = distance covered by man = 10 m

Therefore,

\(\eta = \frac{(225\ kg)(9.81\ m/s^2)(1.2\ m)}{(315\ N)(10\ m)}\)

η = 0.84 = 84%

Answer:

the mass and wieght means same

Complete Question

1 a A little girl pushes a 5.0 kg toy baby stroller at constant speed 7.0 m across the floor. She pushes on the handle with a force of 40 N at an angle of 30o with the horizontal.  How much work is done by the girl on the wagon?

1b  A farmhand pushes 20 ㎏ bale of hay 4m across the floor of the barn if she exerts a horizontal force of 60 N on the hay, how much work is done? (5 pts)

All parts are 4 points each

Answer:

1a

  \(W = 242.5 \ J\)

1b

    \(W = 240 \ J\)

Explanation:

Considering question a

From the question we are told that

       The mass of the toy baby stroller is  \(m = 5.0 \ kg\)

        The distance covered is    \(d = 7.0\ m\)

          The force the girl applies on the handle  is  \(F = 40 \ N\)

          The angle at which this force is applied is  \(\theta = 30^o\)

Generally the workdone is mathematically represented as

          \(W = F_x * d\)

Here  \(F_x\) is the force along the horizontal axis , this is mathematically represented as

           \(F_x = F cos (\theta )\)

=>         \(F_x = 40 * cos(30 )\)

=>         \(F_x = 34.64 \ N\)

So

              \(W = 34.64 * 7\)

=>           \(W = 242.5 \ J\)

Considering question b

From the question we are told that

       The mass of the toy baby stroller is  \(m = 20 \ kg\)

        The distance covered is    \(d = 4 \ m\)

          The force the girl applies on the handle  is  \(F = 60 \ N\)      

Generally the workdone is mathematically represented as

          \(W = F * d\)

=>     \(W = 60 * 4\)

=>     \(W = 240 \ J\)

Answer:

Explanation:

To convert gram / centimeter³ to kg / m³

gram / centimeter³

= 10⁻³ kg / centimeter³

= 10⁻³  / (10⁻²)³ kg / m³

= 10⁻³ / 10⁻⁶ kg / m³

= 10⁻³⁺⁶ kg / m³

= 10³ kg / m³

So we shall have to multiply be 10³ with amount in gm / cm³ to convert it into kg/m³

2.33 gram / cm³

= 2.33 x 10³ kg / m³ .

The magnitude of the total momentum of the two cars is 68,245.5  kg m/s.

To calculate the total momentum of the two cars, we need to first calculate the momentum of each car and then add them together.

The momentum of an object is given by the product of its mass and velocity. So, the momentum of each car can be calculated as:

p = m x v

where;

Since both cars have the same mass, their momenta will be equal if they have the same velocity. In this case, both cars are traveling at the same speed of 35.7 m/s.

The momentum of car 1 can be calculated by resolving its velocity into horizontal and vertical components:

vx1 = v1 cos(60°) = 0.5 x 35.7 = 17.85 m/s

vy1 = v1 sin(60°) = 0.866 x 35.7 = 30.97 m/s

The momentum of car 1 is then:

p₁ = m x v₁ = 1350 x √(vx₁² + vy₁²)

p₁ = 1350 x √(17.85² + 30.97²)

p₁ = 48,256.85  kg m/s

Similarly, the momentum of car 2 can be calculated by resolving its velocity into horizontal and vertical components:

vx2 = v2 cos(30°) = 0.866 x 35.7 = 30.97 m/s

vy2 = v2 sin(30°) = 0.5 x 35.7 = 17.85 m/s

The momentum of car 2 is then:

p₂ = m x v₂ = 1350 x √(vx₂² + vy₂²)

p₂ = 1350 x √(30.97² + 17.85²)

p₂ = 48,256.85  kg m/s

The total momentum of the two cars is the vector sum of their momenta, which can be calculated using the Pythagorean theorem:

ptotal = √(p₁² + p₂²)

= √((48,256.85  )² + (48,256.85²) = 68,245.5  kg m/s

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Answer:

1962

Explanation:

w = f × d

= 20×9.81 × 10

= 1962

Answer:

Periodic.

Explanation:

Electromagnetic waves is a propagating medium used in all communications device to transmit data (messages) from the device of the sender to the device of the receiver.

Generally, the most commonly used electromagnetic wave technology in telecommunications is radio waves.

Radio waves can be defined as an electromagnetic wave that has its frequency ranging from 30 GHz to 300 GHz and its wavelength between 1mm and 3000m. Therefore, radio waves are a series of repetitive valleys and peaks that are typically characterized of having the longest wavelength in the electromagnetic spectrum.

Basically, as a result of radio waves having long wavelengths, they are mainly used in long-distance communications such as the carriage and transmission of data.

Generally, a fixed speed is used for the propagation of traveling waves and this speed is usually denoted with the variable "v" or sometimes "c."

Furthermore, if the waveform of a traveling wave is repeated every time at specific intervals T, it is referred to as periodic wave.

Mathematically, the period of a traveling wave is given by the formula;

\( Period = \frac {1}{T} \)

Where;

T is the time measured in seconds.

The two strings are taut. When the system is released from rest, it accelerates at 2 m/s2 then, Mass of A = 8m/5 kg.

Let the mass of the body A be ‘m’.

The two strings are taut so they exert a tension ‘T’ on body A.

Let ‘a’ be the acceleration produced in the system.

The free body diagram of body A is given below: mA + 2T = mA + ma = mA + m(2)mA + 10T = mA + ma = mA + m(2)

As the two strings are taut, we can say that tension in both strings is equal.

Therefore 2T = 10T or T = 5T As the body A is resting on a smooth horizontal table, there is no friction force acting on the body A.

The net force acting on body A is the force due to tension in the strings. ma = 2T – mg …(1)

As per the given problem, the system is released from rest.

Hence the initial velocity is zero.

Also, we are given that the system accelerates at 2 m/s2.

Therefore a = 2 m/s2 …(2)

From the equations (1) and (2), we get, m(2) = 2T – mg …(3)⇒ m(2) = 2×5m – mg⇒ 2m = 10m – g⇒ g = 8m/5

Thus, the mass of A is 8m/5 kg.

Answer: Mass of A = 8m/5 kg.

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Answer:

real kinetic theory means that kinetic energy

The mass of the picture is approximately 5.19 kilograms.

The deformation in this case is called shear deformation, a type of deformation that occurs when parallel internal surfaces slide past one another. It is caused by shear stress in the structure. The shear stress (τ) is the force (F) applied divided by the cross-sectional area (A) of the nail. The shear strain (γ) is the displacement (Δx) divided by the original length (L0).

The relationship between shear stress and shear strain is given by the shear modulus (G) in the formula:

τ = G * γ

To find the weight of the picture, we need to calculate the shear stress first:

The cross-sectional area A of the nail is given by the formula for the area of a circle:

A = πr² = π(d/2)² = π(0.0015 m / 2)² = 1.767 x 10^-6 m².

The shear strain γ is given by:

γ = Δx / L0 = (1.80 x 10^-6 m) / (5 x 10^-3 m) = 0.36.

The shear stress τ can now be calculated by rearranging the formula:

τ = G * γ

=> τ = (80 x 10^9 N/m²) * 0.36 = 28.8 x 10^9 N/m²

The force F on the nail is equal to the weight w of the picture, and it can be calculated from the shear stress:

τ = F / A

=> F = τ * A = (28.8 x 10^9 N/m²) * (1.767 x 10^-6 m²) = 50.89 N.

Since weight w = m * g, where m is mass and g is the acceleration due to gravity (approximately 9.81 m/s²), we can find the mass m:

m = w / g = (50.89 N) / (9.81 m/s²) = 5.19 kg.

So, the mass of the picture is approximately 5.19 kilograms.

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Answer:

The depth of the resulting stream is 3.8 meters.

Explanation:

Under the assumption that streams are formed by incompressible fluids, so that volume flow can observed conservation:

\(\dot V_{1} + \dot V_{2} = \dot V_{3}\) (1)

All volume flows are measured in cubic meters per second.

Dimensionally speaking, we can determine the depth of the resulting stream (\(h_{3}\)), in meters, by expanding (1) in this manner:

\(w_{1}\cdot h_{1}\cdot v_{1} + w_{2}\cdot h_{2}\cdot v_{2} = w_{3}\cdot h_{3}\cdot v_{3}\)

\(h_{3} = \frac{w_{1}\cdot h_{1}\cdot v_{1}+w_{2}\cdot h_{2}\cdot v_{2}}{w_{3}\cdot v_{3}}\) (2)

\(v_{1}, v_{2}\) - Speed of the merging streams, in meters per second.

\(h_{1}, h_{2}\) - Depth of the merging streams, in meters.

\(w_{1}, w_{2}\) - Width of the merging streams, in meters.

\(w_{3}\) - Width of the resulting stream, in meters.

\(v_{3}\) - Speed of the resulting stream, in meters per second.

If we know that \(w_{1} = 8.3\,m\), \(h_{1} = 3.2\,m\), \(v_{1} = 2.2\,\frac{m}{s}\), \(w_{2} = 6.8\,m\), \(h_{2} = 3.2\,m\), \(v_{2} = 2.4\,\frac{m}{s}\), \(w_{3} = 10.4\,m\) and \(v_{3} = 2.8\,\frac{m}{s}\), then the depth of the resulting stream is:

\(h_{3} = \frac{(8.3\,m)\cdot (3.2\,m)\cdot \left(2.2\,\frac{m}{s} \right) + (6.8\,m)\cdot (3.2\,m)\cdot \left(2.4\,\frac{m}{s} \right)}{(10.4\,m)\cdot \left(2.8\,\frac{m}{s} \right)}\)

\(h_{3} = 3.8\,m\)

The depth of the resulting stream is 3.8 meters.

Tina's speed as she passes David is 25.0 m/s, which is the same as David's speed. To solve this problem, we can use the kinematic equations of motion:

Position as a kinematic equations of time: x = x0 + v0t + (1/2)at^2

Final velocity as a function of time: v = v0 + at

First, let's find out how long it takes for Tina to catch up to David. We can use the second equation above to find the time it takes for Tina to reach David's speed:

v = v0 + at

25.0 m/s = 0 + 2.60 m/s^2 * t

t = 9.62 s

Now we can use the first equation to find how far Tina travels during that time:

x = x0 + v0t + (1/2)at^2

x = 0 + 0 + (1/2)(2.60 m/s^2)(9.62 s)^2

x = 120.3 m

Therefore, Tina drives 120.3 meters before passing David. To find her speed as she passes David, we can use the second equation above:

v = v0 + at

v = 0 + 2.60 m/s^2 * 9.62 s

v = 25.0 m/s is the final velocity.

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Answer: \(1.96\times 10^{8}\ m/s\)

Explanation:

Given

Diameter of sphere is \(d=2.6\ mm\quad \quad[r=1.3 mm]\)

Charge on the sphere is \(Q=-4.5\ nC\)

Nearest distance electron can reach to sphere is \(d=0.37\ mm\)

Here, kinetic energy of electron is converted into electrostatic energy between the two i.e.

\(\Rightarrow \dfrac{1}{2}mv^2=\dfrac{kQq}{d}\\\\\Rightarrow \dfrac{1}{2}\times 9.1\times 10^{-31}\times v^2=\dfrac{9\times 10^9\times 4.5\times 10^{-9}\times 1.6\times 10^{-19}}{(3.7\times 10^{-4})}\\\\\Rightarrow v^2=3.8491\times 10^{16}\\\Rightarrow v=1.96\times 10^{8}\ m/s\)

Thus, the initial speed of electron is \(1.96\times 10^{8}\ m/s\).

Answer:

893.8 [kJ].

Explanation:

1) the total heat can be calculated as

E=Q₁+Q₂+Q₃, where Q₁ - energy to heat the ice from -4 to 0; Q₂ - energy to melt the ice; Q₃ - to heat the water at 0 °C to 25 °C;

2) Q₁=λ*m*Δt₁, ⇒ Q₁=2100*2*4=16800 [J];

3) Q₂=c₂*m; ⇒ Q₂=333500*2=667000 [J];

3) Q₃=c₃*m*Δt₂; ⇒ Q₃=4200*2*25=210000 [j];

4) finally, the required heat is

E=16800+667000+210000=893800 [J]=893.8 [kJ].

To find the mass in kilograms, you need to know the object's weight in newtons and the acceleration due to gravity. The formula for finding mass is mass = weight / acceleration due to gravity. So if you have an object with a weight of 100 N and the acceleration due to gravity is 9.8 m/s^2, the mass would be 10.204 kg.

The mass of the block is 0.025 kg or 25 g, when the spring has k = 28 N/m, and compresses 0.11 m before bringing the block to rest.

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The absolute pressure at an ocean depth of 1.0 x 10^3 m is 1.002 x 10^8 Pa.

Hydrostatic pressure is the pressure that a fluid exerts on a surface due to the weight of the fluid above it. It is the result of the force of gravity acting on a column of fluid, and it is directly proportional to the height of the column of fluid and the density of the fluid.

The absolute pressure at an ocean depth of 1.0 x 10^3 m can be calculated using the hydrostatic pressure equation:

P = ρgh + Po

where:

P is the absolute pressure at the given depth

ρ is the density of the water

g is the acceleration due to gravity (assumed to be 9.81 m/s²)

h is the depth of the ocean

Po is the atmospheric pressure at the surface (assumed to be 1.01 x 10^5 Pa)

Substituting the given values, we get:

P = (1.025 x 10^3 kg/m³) x (9.81 m/s²) x (1.0 x 10^3 m) + 1.01 x 10^5 Pa

P = 1.025 x 9.81 x 10^6 Pa + 1.01 x 10^5 Pa

P = 1.002 x 10^8 Pa.

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A- When preparing breakfast, Lola undergoes the following physical changes: Butter the bread and fries the bacon. oranges are squeezed for orange juice

Butter the toast: The heat of the toast causes the butter to gently melt when Lola spreads it on the bread. This is a physical modification because it only modifies the butter's and toast's physical characteristics, not their chemical makeup.

Fry bacon: When Lola fries the bacon, the heat melts the fat and denatures and coagulates the proteins, giving the bacon a crispy quality. This is likewise a physical modification because it only modifies the bacon's physical characteristics, not its chemical makeup.

Oranges are squeezed to produce orange juice. The juice is drawn from the orange cells and separated from the pulp when Lola squeezes oranges.

A physical alteration is one in which just the substance's physical characteristics, such as shape, size, colour, or state, are altered. The substance's chemical makeup remains unchanged. The butter, bacon, and orange are all enduring physical modifications in the activities that Lola completes because they simply alter their physical characteristics without altering their chemical makeup. For instance, altering the physical qualities of things without altering their chemical makeup includes melting butter and bacon and extracting the juice from an orange.

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Answer:

B)

Explanation:

a brilliant work on all the principles it open up a whole new world and change the world algebraicly

question answered finish

Answer:

The ground we walk on is flat, not round. Gravity doesn't exist. Objects don't fall down, the flat earth(disk) goes up with a force called dark energy. There is a 45 ft tall ice wall to prevent people from falling off the Earth.

Explanation:

Given data

*The given velocity of the car is v(t)= 10 + 3t + 512

The acceleration of the car is calculated as

Thus, the acceleration of the car at t = 2 s is 3 m/s^2