Two eggs of equal mass are thrown at a blanket with equal velocity. Egg B hits the blanket but egg A hits the wall instead. Compare the work done on the eggs in reducing their velocities to zero.
1. More work was done on A than on B.
2. It is meaningless to compare the amount of work because the forces were so different.
3. Work was done on B, but no work was done on A because the wall did not move.
4. More work was done on B than on A.
5. The amount of work is the same for both.

Answer:  2.53 m/s

Explanation: The first step in solving this problem is to use Hooke's law to find the force exerted by the spring on the mass when it is stretched by 4 cm. Hooke's law states that the force exerted by a spring is proportional to the amount it is stretched or compressed. The formula for Hooke's law is:

F = -kx

where F is the force exerted by the spring, k is the force constant of the spring, and x is the amount the spring is stretched or compressed from its equilibrium position.

In this case, the force exerted by the spring can be found as follows:

F = -kx

F = -100 N/m * 0.04 m

F = -4 N

The negative sign indicates that the force is in the opposite direction to the displacement of the mass from its equilibrium position.

Next, we can use the work-energy principle to find the speed of the mass as it passes through its equilibrium position. The work-energy principle states that the work done on an object is equal to its change in kinetic energy. In this case, the work done on the mass is the work done by the spring, which is:

W = (1/2)kx^2

where W is the work done by the spring and x is the displacement of the mass from its equilibrium position.

The work done by the spring can be found as follows:

W = (1/2)kx^2

W = (1/2)(100 N/m)(0.04 m)^2

W = 0.008 J

This work done by the spring is equal to the change in kinetic energy of the mass, which is:

ΔK = (1/2)mv^2 - 0

where ΔK is the change in kinetic energy of the mass, m is the mass of the mass, and v is its speed.

We can solve for v as follows:

ΔK = (1/2)mv^2 - 0

ΔK = (1/2)mv^2

v^2 = 2ΔK/m

v = sqrt(2ΔK/m)

Substituting the values we have found, we get:

v = sqrt(2(0.008 J)/(0.05 kg))

v = sqrt(0.32 m^2/s^2 / 0.05 kg)

v = sqrt(6.4 m^2/s^2)

v = 2.53 m/s

Therefore, the speed of the mass when it passes through its equilibrium position is 2.53 m/s.

Answer:

true

Explanation:

The kinetic energy of a gas is directly proportional to the temperature of the gas.because temperature is the average kinetic energy of a substance

I hope this helps

The initial velocity of rock is 33.275m/s when it is thrown directly upward from the edge of the roof of a building that is 54.7 meters tall.

Given The height of the building (h) = 54.7m

Time taken by the rock to strike the ground (t) = 4s

Let the acceleration of the rock (a) = -g = \(-9.8m/s^2\) since the rock travels downwards.

We know that from Newtons laws of motion: \(s = ut + 1/2at^2\) where u is the initial velocity and s is the height travelled = h

\(54.7 = u * 4 - 1/2 * 9.8 * (4)^2\)

\(( 54.7 + 1/2 * 9.8 * (4)^2 )/4 = u\)

u = 133.1/4 = 33.275m/s

Hence the initial velocity of the rock is 33.275m/s

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Electrons are the particle pr4esent inside the atom that does not affect the stability of the atom,

The ability of some unstable atoms to emit nuclear radiation spontaneously, typically in the form of alpha or beta particles frequently accompanied by gamma rays, is known as radioactivity.

An overabundance of neutrons or protons can make the nucleus of an atom unstable.

A radioactivity atom will try to become stable by extruding other particles, such as protons or neutrons, or by releasing energy in various ways.

Thus, Electrons are the particle present inside the atom that does not affect the stability of the atom,

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Answer:

- the volume of the second tank is 1.77 m³

- the final equilibrium pressure of air is 221.88 kPa ≈ 222 kPa

Explanation:

Given that;

\(V_{A}\) = 1 m³

\(T_{A}\) = 10°C = 283 K

\(P_{A}\) = 350 kPa

\(m_{B}\) = 3 kg

\(T_{B}\) = 35°C = 308 K

\(P_{B}\) = 150 kPa

Now, lets apply the ideal gas equation;

\(P_{B}\) \(V_{B}\) = \(m_{B}\)R\(T_{B}\)

\(V_{B}\) = \(m_{B}\)R\(T_{B}\) / \(P_{B}\)

The gas constant of air R = 0.287 kPa⋅m³/kg⋅K

we substitute

\(V_{B}\) = ( 3 × 0.287 × 308) / 150

\(V_{B}\) = 265.188 / 150  

\(V_{B}\) = 1.77 m³

Therefore, the volume of the second tank is 1.77 m³

Also, \(m_{A}\) =  \(P_{A}\)\(V_{A}\) / R\(T_{A}\) = (350 × 1)/(0.287 × 283) = 350 / 81.221

\(m_{A}\)  = 4.309 kg

Total mass, \(m_{f}\) = \(m_{A}\) + \(m_{B}\) = 4.309 + 3 = 7.309 kg

Total volume \(V_{f}\) = \(V_{A}\) + \(V_{B}\)  = 1 + 1.77 = 2.77 m³

Now, from ideal gas equation;

\(P_{f}\) =  \(m_{f}\)R\(T_{f}\) / \(V_{f}\)

given that; final temperature \(T_{f}\) = 20°C = 293 K

we substitute

\(P_{f}\) =  ( 7.309 × 0.287 × 293)  / 2.77

\(P_{f}\) =  614.6211119 / 2.77

\(P_{f}\) =  221.88 kPa ≈ 222 kPa

Therefore, the final equilibrium pressure of air is 221.88 kPa ≈ 222 kPa

According to the information, the rms speed of the gas will remain unchanged.

The rms (root-mean-square) speed of a gas is directly proportional to the square root of its temperature. In this scenario, the temperature is constant, which means that the rms speed of the gas will also remain constant.

The change in volume does not have a direct effect on the rms speed of the gas, as long as the temperature remains unchanged. Therefore, the rms speed of the gas in the vessel will not change.

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If a rose with the genotype Yy is pale yellow in color, then there is not complete dominance for neither allele and it is a case of incomplete dominance. Nonetheless, since allele Y is for pale yellow and the hybrid has this phenotype, then it is partially dominant (pale yellow, Y, option 3).

Incomplete dominance is a genetic phenomenon in which one of the two alleles present for a given gene locus is expressed more strongly when compared to the other allele, which is called partially dominant and partially recessive alleles, respectively.

Conversely, complete dominance is due to the presence of an allele that completely masks the expression of the recessive allele in heterozygous hybrid individuals.

Therefore, with this data, we can see that incomplete dominance is associated with the expression of both alleles in the heterozygous hybrid individuals.

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De acuerdo con la información podemos inferir que la rapidez media de la anciana es de 0.03 km/min.

Para calcular la rapidez media, dividimos la distancia recorrida por el tiempo empleado. En este caso, la anciana caminó 0.30 km en 10 minutos. Para obtener la rapidez media, dividimos 0.30 km entre 10 minutos, lo que nos da un valor de 0.03 km/min. Por lo tanto, la anciana tiene una rapidez media de 0.03 km/min.

La rapidez media se expresa en unidades de distancia divididas por unidades de tiempo. En este caso, la anciana recorrió una distancia de 0.30 km en un tiempo de 10 minutos, lo que nos da una rapidez media de 0.03 km/min. Esto significa que en promedio, la anciana camina 0.03 kilómetros por minuto durante su recorrido alrededor del centro comercial.

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Answer:

Option B

Explanation:

in all the 3 light moves from rarer medium to denser medium, so obviously experience refraction!!

Answer:

The answer is A

Explanation:

im pretty sure its A because i did it in class

Answer:

a

Explanation:

Answer:

7.74 x 10⁶ Joules

Explanation:

recall that "Watts" is the SI unit used for "energy per unit time"

Hence "Watts" may also be expressed as Joules / Second (or J/s)

We are given that the washer is rated at 350W (i.e. 350 Joules / s) and the dryer is rated at 1800W (i.e. 1800 Joules / s).

We are also given that the appliances are each run for 1 hour

1 hour = 60 min = (60 x 60) seconds = 3600 seconds

Hence the total energy used,

= Energy used by Washer in 1 hour + Energy used by dryer in 1 hour

= (350 J/s x 3600 s)  + (1800 J/s x 3600 s)

= 3600 ( 350 + 1800)

= 3600 (2150)

= 7,740,000 Joules

= 7.74 x 10⁶ Joules

The statement" The direction of the force on the charge placed in the electric field is upward" is false because the direction of the force on a negative charge (-6 C) placed in an upward-directed uniform electric field of magnitude 24 N/C would be downward.

The direction of the force on a charged particle placed in an electric field is determined by the charge of the particle and the direction of the electric field. In this case, a charge of -6 C is placed in an electric field directed upward with a magnitude of 24 N/C.

The force on a charged particle in an electric field can be calculated using the formula:

F = q * E

Where F is the force, q is the charge of the particle, and E is the electric field.

Since the charge q in this case is negative (-6 C) and the electric field E is directed upward, we can substitute the values into the formula:

F = (-6 C) * (24 N/C)

F = -144 N

The negative sign in the force value indicates that the force is in the opposite direction to the electric field. Therefore, the force on the charge placed in the electric field is downward, not upward.

The force on a negative charge is always opposite to the direction of the electric field. This is because negative charges experience an attractive force towards positive charges, and electric fields are directed from positive charges to negative charges.

Therefore, the statement "The direction of the force on the charge placed in the electric field is upward." is false.

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Answer:

The time taken by the projectile to hit the ground is 6.85 sec.

Explanation:

Given that,

Vertical height of cliff = 230 m

Distance = 300 m

Suppose, determine the time taken by the projectile to hit the ground.

We need to calculate the time

Using second equation of motion

\(s=ut+\dfrac{1}{2}gt^2\)

Where, s = vertical height of cliff

u = initial vertical velocity

g = acceleration due to gravity

Put the value in the equation

\(230=0+\dfrac{1}{2}\times9.8\times t^2\)

\(t=\sqrt{\dfrac{230\times2}{9.8}}\)

\(t=6.85 sec\)

Hence, The time taken by the projectile to hit the ground is 6.85 sec.

The acceleration of Thomas is 0.233 m/s^2.

Acceleration is the rate of change of velocity. Thomas the Train chugs along at a velocity of 2 m/s.

Thomas needs to go faster so more coal is shoveled into his engine and he accelerates for 10 seconds until he is going 4.33 m/s.

We are to find the acceleration of Thomas.

The formula for acceleration is given as :

acceleration = (final velocity - initial velocity) / time

In the given problem, the initial velocity of Thomas, u = 2 m/s.

The final velocity of Thomas, v = 4.33 m/s The time for which Thomas accelerates, t = 10 s.

Therefore, the acceleration of Thomas will be given as:

a = (v - u) / ta = (4.33 - 2) / 10s => 2.33 / 10s => 0.233 m/s^2

Thus, the acceleration of Thomas is 0.233 m/s^2.

To summarize, the acceleration of Thomas is 0.233 m/s^2.

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Answer:

The focal length of the mirror is 10.4 cm.

Explanation:

So substitute the values of object distance and image distance in the mirror equation,

1/f = 1/(-18cm) + 1/(-25.0cm)

1/f = -25cm/(-18cm x -25cm) - 18cm/(-18cm x 25cm)

1/f = ( -25cm - 18cm)/(18cm x 25cm)

1/f = -43.0/450.0

f = -10.4651 cm.

The focal length of the mirror is approximately -10.4 cm.

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Jonathan needs to maintain a separation of 0.543 mm between the plates to get the desired charge, and a dielectric constant of 92.6 to achieve a separation of 5 mm with a dielectric.

(a) Using the equation Q = CV, where Q is the charge, C is the capacitance, and V is the voltage, we can solve for the capacitance: C = Q/V =\((8.15 x 10^-9 C) / (50 V) = 1.63 x 10^-10 F.\)

Then, using the formula for capacitance of parallel plate capacitors: C = ε0A/d, where ε0 is the permittivity of free space, A is the area of the plates, and d is the separation distance, we can solve for the separation distance: d =\(_{3}OA/C = (8.85 x 10^-12 F/m) x (0.01 m^2) / (1.63 x 10^-10 F) = 0.543 mm.\)

(b) To find the dielectric constant, we can use the formula for capacitance of a parallel plate capacitor with a dielectric: C = εrε0A/d, where εr is the relative permittivity or dielectric constant of the material. Solving for εr, we get: εr = Cd / ε0A = \((1.63 x 10^-10 F)\) x (0.005 m) / \((8.85 x 10^-12 F/m)\) x \((0.01 m^2)\) = 92.6.

Therefore, Jonathan should use a dielectric with a relative permittivity of 92.6 to achieve a separation of 5 mm.

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Answer:

86.7

Explanation:

sana makatulong yung answer ko

Answer:

If he's 500 kg and 1 kg = 10 N then it would be 5,000 N

Explanation:

The surface area is unimportant and they'll use it to trick you.

Answer: 200 N/m

Explanation:

The Gravitational spring energy(Us) is equal to 1/2kx^2. So we have x as .2 m and Us as 4 N. So 4 N = 1/2 * k * .2^2. So now we solve for K and get 200 N/m.

Answer:

20 N/m

Explanation:

4/0.2 = 20 N/m

/ = divide

Answer:

good luck!!! sorry I just needed the points xoxo

Explanation:

umm yeah no sorry I tried

The constant acceleration of the train is 50/9 m/s².

The two balls will collide at a height of approximately 10.204 meters above the ground.

Using the kinematic equations of motion, we have:

distance = initial velocity * time + 1/2 * acceleration * time^2

For the first phase of acceleration, the initial velocity is zero, the time is 5 minutes = 300 seconds, and the distance traveled is unknown. So we have:

d1 = 0 + 1/2 * a * (300)^2

For the second phase of constant speed, the initial velocity is v, the time is 5 minutes = 300 seconds, and the distance traveled is also unknown. So we have:

d2 = v * 300

For the third phase of deceleration, the initial velocity is v, the time is also 5 minutes = 300 seconds, and the distance traveled is again unknown. So we have:

d3 = v * 300 + 1/2 * (-a) * (300)^2

The total distance traveled is the sum of these three distances:

distance = d1 + d2 + d3 = 1/2 * a * (300)^2 + v * 600 - 1/2 * a * (300)^2 = v * 600

Since the total distance traveled is given as 10 km = 10000 m, we have:

v * 600 = 10000

Solving for v, we get:

v = 10000/600 = 50/3 m/s

Now we can use the second equation above to find a:

d2 = v * 300 = (50/3) * 300 = 5000 m

Therefore, the constant acceleration of the train is:

a = 2 * (5000 - 1/2 * a * (300)^2) / (300)^2 = 50/9 m/s^2

The constant acceleration of the train is 50/9 m/s^2.

Problem 2: The height of the first ball dropped is given as 10m. Let's assume the height of the collision point is h meters above the ground.

Using the kinematic equation for free fall, we have:

h = 10 + 1/2 * g * t^2

where g is the acceleration due to gravity, which is approximately 9.81 m/s^2, and t is the time it takes for the second ball to reach the collision point after being thrown upwards.

The initial upward velocity of the second ball is 10 m/s, and we know that at the collision point, its velocity will be zero, since it will have reached its maximum height and will be momentarily at rest before falling back down.

Using the kinematic equation for motion with constant acceleration, we have:

0 = 10 + (-g) * t

Solving for t, we get:

t = 10/g = 10/9.81 seconds

Substituting this value of t into the first equation, we get:

h = 10 + 1/2 * 9.81 * (10/9.81)^2

Simplifying, we get:

h = 10.204 m

The two balls will collide at a height of approximately 10.204 meters above the ground.

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when Force (N) is 10.0 Length (m) is 0.60

when Force (N) is 8.0 Length (m) is 0.40

when Force (N) is 4.0 Length (m) is 0.20

when Force (N) is 4.0 Length (m) is 0.20

when Force (N) is 2.0 Length (m) is 0.10

chatgpt

49. To find the length of a pendulum that has a period of 2.3 seconds on the Moon, where the gravitational acceleration (g) is 1.6 N/kg, we can use the formula:

Period (T) = 2π√(Length (L) / g)

Substituting the given values:

2.3 = 2π√(L / 1.6)

To solve for L, we can rearrange the formula:

L = (2.3 / (2π))^2 * 1.6

L ≈ 0.781 meters (or 78.1 centimeters)

So, the pendulum must be approximately 0.781 meters (or 78.1 centimeters) long to have a period of 2.3 seconds on the Moon.

50. Ranking Task:

To rank the pendulums according to their periods, we need to consider both the length and mass of each pendulum.

Ranking from least to greatest period:

1. A: 10 cm long, mass = 0.25 kg

2. C: 20 cm long, mass = 0.25 kg

3. B: 10 cm long, mass = 0.35 kg

There is a tie between pendulums A and C, as they have the same length but different masses.

Answer:

A

Explanation:

In this graph, when we go to the right, the wavelength decrease because the highs and lows are closer. It also means that the frequency increase and the energy also increase.

Therefore, the box that contains the range of frequency with the least energy is box A because it is to the left of the other options.

The vectors addition permits locating the perfect result for the sum of the two vectors in option B).  See attached and the vector is directed to the right and up.

Vector addition is the operation of adding or extra vectors together into a vector sum. The so-known as parallelogram regulation gives the rule for vector addition of or greater vectors. for two vectors and, the vector sum is received via placing them head to tail and drawing the vector from the loose tail to the unfastened head.

A vector is an amount or phenomenon that has impartial residences: importance and direction. The time period also denotes the mathematical or geometrical representation of the sort of quantity. Examples of vectors in nature are velocity, momentum, force, electromagnetic fields, and weight.

Vectors are used in technological know-how to describe something that has a direction and a magnitude. they're commonly drawn as pointed arrows, the length of which represents the vector's importance

Disclaimer: your question is incomplete, please see below for the complete question.

The image shows the complete question.

Which vector is the sum of vectors à and b?

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Answer:

28 m/s

Explanation:

v(final)^2=v(initial)^2+2a(delta y)

=sqrt(2*-9.8 m/s^2*-40)

28 m/s

The speed of the camera with which it hits the water is 27.93 meters per second.

The speed of an object is the rate of change of position of an object in any of the directions. Speed can be measured as the ratio of distance covered by the object to the total time taken in which the distance was covered by the object. Speed is a scalar quantity because it has only magnitude and no direction.

v = gt

where, v is the velocity,

g is the acceleration due to gravity,

and t is the time taken by the object

v = (9.8 m/s²) (2.85s)

v = 27.93 m/s

Therefore, the speed of the camera as it hits the water is 27.93 meters per second.

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Given data:

Length;

Pitch;

The velocity ratio is given as,

Substituting all known values,

Therefore, the velocity ratio of a screw jack is 40π or 125.71.

a) The capacitance of the ceramic capacitor is approximately 354.16 pF.

b) The potential difference between the plates of the capacitor will be approximately 3.39 x 10^6 volts.

To calculate the capacitance of the ceramic capacitor, we can use the formula:

C = (ε₀ * εᵣ * A) / d

where:

C is the capacitance,

ε₀ is the vacuum permittivity (approximately 8.854 x 10^(-12) F/m),

εᵣ is the relative permittivity of the ceramic (given as 100),

A is the effective plate area (given as 4 cm², which is equal to 4 x 10^(-4) m²),

d is the separation between the plates (given as 0.1 mm, which is equal to 0.1 x 10^(-3) m).

Let's calculate the capacitance in picofarads (pF):

a) Calculation of capacitance (C):

C = (ε₀ * εᵣ * A) / d

= (8.854 x 10^(-12) F/m * 100 * 4 x 10^(-4) m²) / (0.1 x 10^(-3) m)

= (8.854 x 100 x 4) / 0.1

= 354.16 pF

Therefore, the capacitance of the ceramic capacitor is approximately 354.16 pF.

b) To find the potential difference (PD) between the plates when the capacitor is given a charge of 1.2 μC (microcoulombs), we can use the formula:

PD = Q / C

where:

PD is the potential difference,

Q is the charge (given as 1.2 μC, which is equal to 1.2 x 10^(-6) C),

C is the capacitance (calculated in part a) as 354.16 pF, which is equal to 354.16 x 10^(-12) F).

Let's calculate the potential difference (PD):

b) Calculation of potential difference (PD):

PD = Q / C

= (1.2 x 10^(-6) C) / (354.16 x 10^(-12) F)

= 3.39 x 10^6 V

Therefore, the potential difference between the plates of the capacitor will be approximately 3.39 x 10^6 volts.

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