At the county fair, Chris throws a 0.15kg baseball at a 2.5kg wooden milk bottle, hoping to knock it off its stand and win a prize. The ball bounces straight back at 15% of its incoming speed, knocking the bottle straight forward.
Part A
What is the bottle's speed, as a percentage of the ball's incoming speed?

The kinetic energy of an electron transformed into potential energy when it interacts with other electrons without changing its speed.

The average kinetic energy (KE) is defined as the one-half of the mass of each gas molecule times multiplied by the square of RMS velocity.

\(\rm {KE = \frac{1}{2} mv^2}\)

where,

KE is the kinetic energy

m is the mass of each molecule

(V)rms is the RMS velocity

According to the law of conservation of energy, kinetic energy gets converted into potential energy. In that case, speed does not play a major role.

When an electron collides with the other electron Its energy gets transferred to the other electrons. The moving electrons get stuck and come to rest.

Hence the kinetic energy of an electron transformed into potential energy when it interacts with other electrons without changing its speed.

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The input to the power station is 5x10^9 W. This means that the power station requires an input of 5x10^9 watts to produce an electrical power output of 1.9x10^9 watts with an efficiency of 38%.

The efficiency of a power station is defined as the ratio of its output power to input power. Therefore, we can use the efficiency and the electrical power output of the power station to calculate its input power as follows:

Efficiency = Output power / Input power

Solving for input power, we get:

Input power = Output power / Efficiency

Substituting the given values, we get:

Input power = 1.9x10^9 W / 0.38

Input power = 5x10^9 W (to two significant figures)

The rest of the input power is lost as heat due to inefficiencies in the power generation process.

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If an astronaut weighs 981 N on Earth and only 160 N on the Moon, then his mass on the Moon will be 98.1 kg.

Let's calculate the mass of Earth as per the Earth's acceleration due to gravity.

Now, considering the acceleration due to gravity as 10m/s².

Mass = Weight/Acceleration due to gravity

Mass = 981/10

Mass = 98.1 kg

Now, as per the established fact, the mass is independent of acceleration due to the gravity of the planet i.e. The mass of the person on earth and on the moon is same.

Hence, his mass on the Moon will be 98.1 kg.

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Answer:

there are 1,000m in a km, so 200km is 200,000m

200,000m/10m/s = 20,000s

Explanation:

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Only the Sun and the Moon are brighter than the planet Venus, which represents the goddess' own beauty and makes for a lovely spectacle in the sky.

The ancient Greeks gave the name Athena—after their goddess of wisdom—to the fourth planet from the Sun.

The same planet was given the name Minerva by the Romans, who did so in honor of Athena in Greek mythology. The first manned spacecraft to visit the planet was given the name Athena by the Americans.

Therefore, In honor of their goddess of love and beauty, the Romans gave the brightest planet, Venus, that name. After the telescope was created in the early 1600s, the planets Uranus and Neptune were also found.

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Answer:

33 m/s

first i do 27+6=33 +s2=

Answer:

B- the melting of polar ice caps

Explanation:

As the world's temperature increases, polar ice caps will no longer be able to remain solid.

Complete Question

The complete question is shown on the first uploaded image

Answer:

The value is  \(F_{centripetal} = 15 \ N\)

Explanation:

From the diagram we see that

 The tension force on the ball is  \(F_{Tension} = 25 \ N\)

  The gravitational force on the ball is  \(F_{Gravity } = 10 \ N\)

Generally the net centripetal force exerted on the ball is mathematically represented as

        \(F_{centripetal} = F_{Tension} - F_{Gravity}\)

=>     \(F_{centripetal} = 25 - 10\)

=>     \(F_{centripetal} = 15 \ N\)

The net centripetal force exerted on the ball is 15 Newton.

Hence, Option B) 15N is the correct answer.

Given the data in the question;

Net centripetal force exerted on the ball; \(F_{centripetal} = \ ?\)

From the diagram below, net force acting on the ball gives rise to centripetal force. Hence

\(F{net} = F_1 + f_2 = F_{centripetal}\)

Now, from the diagram, force acting towards the center of the circular track is is positive while force directly pointing away from center is negative.

Hence

\(F{net} = F_1 + f_2 = F_{centripetal} = F_{Tension} - F_{Gravity}\)

We substitute in our given values

\(F_{centripetal} = 25N - 10N\\\\ F_{centripetal} = 15N\)

The net centripetal force exerted on the ball is 15 Newton.

Hence, Option B) 15N is the correct answer.

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The graph will be correct, if it shows a direct relationship between average kinetic energy and temperature of the gas molecules.

The average kinetic energy of a gas molecule is the energy possesed by the gas due to its relative motion.

Average kinetic energy of gas molecules has a direct relationship with temperature of the gas molecules. As the gas temperature increases, the kinetic energy of the gas increases and consequently, the speed of the gas increases as well.

Thus, the graph will be correct, if it shows a direct relationship between average kinetic energy and temperature of the gas molecules.

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Answer:

Select both

Explanation:

You included all needed information

Answer:

the correct statement is B Flight time is the same.

Explanation:

This is a projectile launch problem, in this case as it is rolling on a horizontal table all the initial horizontal velocity, for the time it takes to reach the floor we use

         y =\(y_{o}\) I + \(v_{oy}\) t - ½ g (t-t₀)

get to the floor y = 0

      0 =y_{o} - ½ g (t-t₀)²

       t = t₀ + √ (2  y_{o}/ g)

we see that the time to delegate to the floor does not depend on the initial velocity m for which the time to reach the floor is the same, regardless of the velocity of the body

the correct statement is B Flight time is the same.

Answer:

https://youtu.be/stW-C7F7QOg

Baby we biult this house of memories take my pic now shake it till u see it=House of memories

In fluid dynamics, the terms "lines of flow" and "streamlines" are used to describe the path followed by individual fluid particles as they move within a flow. While both terms are closely related, they have slightly different meanings.

Lines of flow refer to the imaginary lines that are drawn in a fluid flow field to represent the direction in which the fluid particles move. These lines can be fluid dynamics,as the path that a fluid particle would trace out over time. Lines of flow can provide information about the overall flow pattern and direction in a fluid system.

On the other hand, streamlines are the actual curves or lines that are tangent to the velocity vector at every point in the flow field.

These streamlines are defined as the locus of points through which a fluid particle passes at a given instant. Streamlines are a mathematical representation of the flow pattern and can be determined through computational fluid dynamics (CFD) or experimental methods.

In laminar flow, where the fluid flows smoothly in layers with minimal turbulence, the lines of flow and streamlines coincide with each other. This means that the lines of flow and streamlines are identical, and fluid particles move along these lines without crossing each other.

The streamlines do not intersect or cross paths in laminar flow, indicating that the flow is well-ordered and predictable.

In summary, lines of flow and streamlines both describe the path followed by fluid particles in a flow field, with the key difference being that lines of flow are conceptually drawn paths, while streamlines are the actual curves tangent to the velocity vector at each point. In laminar flow, the lines of flow and streamlines coincide, reflecting the organized and smooth nature of the flow.

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Answer:

Vector

Explanation:

Vector is a quantity that shows the direction or path through which a body travels with as it changes position.

As body travels, the direction sometimes changes and this is described by the vector of the body.

Velocity is a vector quantity that describes the displacement per unit of time of a body.

Speed is a scalar that deals with the distance covered per time

So, a vector specifies the magnitude of a physical quantity and also the direction through which it travels.

Answer:

31.84

Explanation:

To find the magnitude of the sum of the three vectors, first, we need to add the vectors component-wise. Then, we can find the magnitude of the resulting vector.

Add the vectors component-wise:

Vector A + Vector B + Vector C = [13+13+0, 8+0+1, 0+8+8] = [26, 9, 16]

Find the magnitude of the resulting vector:

The magnitude of a vector [x, y, z] is given by the formula:

magnitude = sqrt(x^2 + y^2 + z^2)

Plugging in the values from the resulting vector:

magnitude = sqrt(26^2 + 9^2 + 16^2)

magnitude = sqrt(676 + 81 + 256)

magnitude = sqrt(1013)

magnitude ≈ 31.84

The magnitude of the sum of the three vectors is approximately 31.84.

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If the force provided by the engine of a toy car decreases, the car will slow down and eventually come to a stop.

1. The force provided by the engine of a toy car is responsible for propelling it forward at a constant speed. This force overcomes any friction or resistance acting on the car.

2. When the force provided by the engine decreases, there is a reduction in the overall force acting on the car. As a result, the force can no longer counteract the resistance and friction effectively.

3. The resistance and friction acting on the toy car, such as air resistance and the friction between the wheels and the surface, start to have a greater impact on the car's motion.

4. With a reduced force from the engine, the car begins to slow down gradually. The deceleration occurs because the opposing forces now have a greater influence on the car's motion.

5. As the force continues to decrease, the opposing forces eventually surpass the remaining force from the engine. Consequently, the toy car slows down even more and eventually comes to a complete stop.

6. If the force provided by the engine becomes extremely low or nonexistent, the opposing forces will completely overpower the forward force, causing the toy car to stop moving altogether.

In summary, when the force provided by the engine of a toy car decreases, the car's speed decreases, and it eventually comes to a stop due to the increased influence of opposing forces.

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The young's modulus in a cantilever will be 3.92 x 10¹⁰ N/m².

Young's modulus (E) is a material property that indicates how easily it can stretch and deform and is defined as the ratio of tensile stress () to tensile strain (). Where stress denotes the amount of force applied per unit area ( = F/A) and strain denotes the extension per unit length

Given that the length is 1m which is suspended by a load of 150g. The depression is found to be 4cm. The thickness of the beam is 5mm and the breath is 3cm.

The young's modulus will be calculated by the formula below,

Y = (4gl³) / (bd³) x ( M / y )

Y = ( 4 x 9.81 x 1³ x 0.150 ) / ( 0.03 x 0.005³ x 0.04 )

Y = 3.92 x 10¹⁰ N/m².

Therefore, young's modulus will be 3.92 x 10¹⁰ N/m².

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P = I²R = (10 A)² (120 Ω) = 120 000 Watts = 120 kW

Answer:

the velocity of the Marty's Jump is 5 m/s.

Explanation:

Given;

mass of Marty, m₁ = 8 kg

mass of the boat, m₂ = 40 kg

velocity of the boat, u₂ = 1 m/s

Let the velocity of the Marty's Jump = u₁

Apply the principle of conservation of momentum;

m₁u₁ = m₂u₂

u₁ = m₂u₂/m₁

u₁ = (40 x 1) / (8)

u₁ = 5 m/s.

Therefore,  the velocity of the Marty's Jump is 5 m/s.

Explanation:

V = 3 cm/s = 0.03 m/s. BY THE FORmULA OF K.E. K.E = 1/2 mV^2. 300 =1/2 m (0.03)^2. m = 300 x 2/0.0009.

Answer:

a. Chemical energy from the battery is converted to electrical energy in the flashlight.

Okay, here are the steps to calculate the full distance traveled when an object is thrown at a certain speed and angle:

You have the initial velocity (v): 35 m/s

You have the launch angle (θ): 45 degrees

We need to split the initial velocity into its horizontal (vx) and vertical (vy) components.

To calculate vx (horizontal component):

vx = v * cosθ

vx = 35 * cos(45) = 24.7 m/s

To calculate vy (vertical component):

vy = v * sinθ

vy = 35 * sin(45) = 24.7 m/s

We can calculate the horizontal distance (d) traveled using:

d = vx * t (where t is time)

Since there is no air resistance, the vertical velocity (vy) will remain constant. This means the time the object is in the air is:

t = vy / g (where g is acceleration due to gravity, 9.8 m/s^2)

t = 24.7 / 9.8 = 2.52 seconds

Now we can calculate the full horizontal distance traveled:

d = vx * t

d = 24.7 * 2.52

= 62.3 meters

So the full distance the object will travel when thrown at 35 m/s at a 45 degree angle is approximately 62 meters.

Let me know if you have any other questions!

Answer:

To calculate the full distance traveled by an object thrown at a velocity of 35 m/s at an angle of 45 degrees, we need to consider the horizontal and vertical components of the motion separately.

The horizontal component of the motion remains constant throughout the trajectory and is given by:

Horizontal distance = (Initial velocity) * (Time of flight) * cos(angle)

In this case, the initial velocity is 35 m/s, the angle is 45 degrees, and we need to find the time of flight.

The time of flight can be calculated using the vertical component of the motion. The vertical motion can be described using the equation:

Vertical displacement = (Initial velocity * sin(angle))^2 / (2 * acceleration)

Where the initial velocity is 35 m/s, the angle is 45 degrees, and the acceleration is the acceleration due to gravity, approximately 9.8 m/s^2.

The vertical displacement is zero at the highest point of the trajectory since the object comes back down to the same height it was launched from. So we can solve the equation for the time of flight.

Using these calculations, we can find the horizontal distance traveled by the object.

Let's calculate step by step:

Step 1: Calculate the time of flight

Vertical displacement = 0 (at the highest point)

0 = (35 * sin(45))^2 / (2 * 9.8)

0 = (24.75^2) / 19.6

0 = 616.0125 / 19.6

0 = 31.43

Step 2: Calculate the time of flight

Vertical displacement = (Initial velocity * sin(angle)) * time - (1/2) * acceleration * time^2

0 = (35 * sin(45)) * time - (1/2) * 9.8 * time^2

0 = 24.75 * time - 4.9 * time^2

4.9 * time^2 - 24.75 * time = 0

time * (4.9 * time - 24.75) = 0

time = 0 (initial point) or 24.75 / 4.9

time = 5.05 seconds

Step 3: Calculate the horizontal distance

Horizontal distance = (Initial velocity) * (Time of flight) * cos(angle)

Horizontal distance = 35 * 5.05 * cos(45)

Horizontal distance = 35 * 5.05 * (sqrt(2)/2)

Horizontal distance = 88.96 meters

The length of the stack shortens by 4.88 x 10-6 m.

Brass and steel have Young's modules of 1.0 and 2 respectively, 1010N/m2. Under the same force, a brass wire of the same length and a steel wire with radii of RB and RS, respectively, are both expanded by 1 mm.

The change in length of each cylinder due to the compressive force can be found using the formula:

ΔL = (F * L) / (A * E)

First, let's find the cross-sectional area of each cylinder:

A = π * r² = π * (0.32 cm)² = 0.3217 cm²

L = Lcopper + Lbrass

L = 2 * Lcopper

Ftotal = Fbrass + (-Fcopper) = Fbrass - Fbrass = 0

Since the total force on the stack is zero, the amount by which the length of the stack decreases is the same as the amount by which the length of the brass cylinder decreases:

ΔL = (Fbrass * Lbrass) / (Abrass * Ebrass)

ΔL = (5000 N * Lbrass) / (0.3217 cm²* 9.0 x 10¹⁰ N/m²)

ΔL = (1.554 x 10⁻⁴ m/N) * Lbrass

V = π * r² * Lbrass

Lbrass = V / (π * r²)

Lbrass = 1 cm / (π * (0.32 cm)^2)

Lbrass = 3.14 cm

Finally, we can substitute this value into the equation for ΔL:

ΔL = (1.554 x 10⁻⁴ m/N) * 3.14 cm

ΔL = 4.88 x 10⁻⁶ m

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Answer:

The ejection of electrons from metals illuminated with different frequencies of light (photoelectric effect)

Explanation:

Ejection of electrons from metals illuminated with different frequencies of light provides evidence for the particle theory of light

The photoelectric effect proves that light has particle-like activity. The photoelectric effect happens when photons are shone on metal and electrons are ejected from the surface of that metal. The electrons that are ejected are determined by the wavelength of light which determines the energy of photons.

correct answer is

Ejection of electrons from metals illuminated with different frequencies of light

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Answer:

Energy is doubled.

Explanation:

Power developed in an electric is the rate of change in time of electric energy travelling throughout circuit. The most common units is the amount of energy used in a second. Therefore, if power is double, the energy used in one second is also doubled.

Answer:

a) When moving towards a high pressure center the pressure values ​​increase in the equipment

b) This area is called high prison since the weight of the atmosphere on top is maximum

Explanation:

A) A high atmospheric pressure system is an area where the pressure is increasing the maximum value is close to 107 Kpa, the other side as low pressure can have small values ​​85.5 kPa.

When moving towards a high pressure center the pressure values ​​increase in the equipment

B) This area is called high prison since the weight of the atmosphere on top is maximum

in general they are areas of good weather

The magnitude of the electric field at the given radial distances from the center of the charge distribution is, For the first case electric field=E₁= 1211.37N/C, For the second case electric field =E₂=762.82 N/C, For the third case electric field= E₃= 3276.7 N/C, For the fourth case electric field=E₄=555.04N/C

Electric field is defined in a way that a field is present in a frame. There is two electric source is present that associated with each other and make the field electrified and source of electric. It can be shown in electric per unit area.

The conducting shell carries a total charge of=Q=−11.9 nC=11.9*10⁻⁹C

A sphere of radius=R =0.280m

A uniform charge density of a sphere=ρ₁= 151 nC/m³= 151×10⁻⁹C/m³

A uniform charge density of a spheric shell,

ρ₂=Q/(4/3)π[(4.00R)³−(3.50R)³]

Or,ρ₂=3Q/4πR³[(4.00)³−(3.50)³]

Or,ρ₂=3*11.9*10⁻⁹/4π(0.280)³[(4.00)³−(3.50)³]

Or,ρ₂=6.15*10⁻⁹ C/m³

We know the law of electric field,

E=(1/4πϵ₀)*(q/r²)

(a) r₁=0.76R

The electric field, in this case, can be given as:

E₁=(1/4πϵ₀)*(q₁/r₁²)

Or, E₁=(1/4πϵ₀)*(ρ₁*{(4/3)πr₁³}/r₁²)

Or, E₁=(1/4πϵ₀)*(ρ₁*(4/3)πr₁)

Or, E₁=9*10⁹*( 151×10⁻⁹*(4/3)π*0.76*0.280)

Or, E₁= 1211.37N/C

According to the calculation, The electric field for this case is, E₁= 1211.37N/C

(b) r₂=3.65R

The electric field, in this case, can be given as:

E₂=(1/4πϵ₀)*(q₂/r₂²)

Here, q₂=Q+(4/3)π[(4.00)³−(3.50)³]

Or, q₂=11.9*10⁻⁹+(4/3)π[(4.00)³−(3.50)³]

Or, q₂=88.488*10⁻⁹C

Now, E₂=(1/4πϵ₀)*(q₂/r₂²)

Or, E₂=(1/4πϵ₀)*(88.488*10⁻⁹/(3.65*0.280)²)

Or, E₂=762.82 N/C

According to the calculation, The electric field for this case is, E₂=762.82 N/C

(c) r₃=2.30R

The electric field, in this case, can be given as:

E₃=(1/4πϵ₀)*(q₃/r₃²)

In this case, electric charge enclosed by the Gaussian surface is given by: q₃=151×10⁻⁹C/m³

Now, E₃=(1/4πϵ₀)*(q₃/r₃²)

Or, E₃=(1/4πϵ₀)*(151×10⁻⁹/(2.30*0.280)²)

Or, E₃= 3276.7 N/C

According to the calculation, The electric field for this case is,  E₃= 3276.7 N/C

(d) r₄=4.50R

Here, q₄=Q+(4/3)π[(4.00)³−(3.50)³]

Or, q₄=11.9*10⁻⁹+(4/3)π[(4.00)³−(3.50)³]

Or, q₄=88.488*10⁻⁹C

Now, E₄=(1/4πϵ₀)*(q₄/r₄²)

Or, E₄=(1/4πϵ₀)*(88.488*10⁻⁹/(4.50*0.280)²)

Or, E₄=555.04N/C

According to the calculation, The electric field for this case is, E₄=555.04N/C

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The quantity of heat energy that must be transferred to 2.25 kg of brass to raise its temperature from 20 °C to 240 °C is 195030 J

First, we shall list out the given parameters from the question. This is shown below:

The quantity of heat energy that must be transferred can be obtained as follow:

Q = MCΔT

= 2.25 × 394 × 220

= 195030 J

Thus, we can conclude quantity of heat energy that must be transferred is 195030 J

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