A 20 g ball of clay traveling east at 2.5 m/s collides with a 25 g ball of clay traveling north at 2.0 m/s .
What is the speed of the resulting 45 g ball of clay?
What is the direction of the resulting ball of clay?

Answer:

ok

Explanation:

Answer:

shooting

Explanation:

i hope you're joking

a 150-dB sound is approximately 10 million times louder than an 80-dB sound.

Provide instances of the differences between the audible, ultrasonic, and infrasonic frequency ranges. Three sorts of sound waves, each covering a distinct frequency range, are used. These are what they are:

The difference in decibels between two sounds is related to the ratio of their intensities (or power) by the following formula:

dB₂ - dB₁ = 10 log10(I₂ / I₁)

where dB₁ and dB₂ are the decibel levels of the two sounds, and I₁ and I₂ are their intensities (or power).

Using this formula, we can find the ratio of the intensity of a 150-dB sound to that of an 80-dB sound:

150 dB - 80 dB = 10 log10(I₁₅₀ / I₈₀)

70 = 10 log10(I₁₅₀ / I₈₀)

7 = log10(I₁₅₀ / I₈₀)

10^7 = I₁₅₀ / I₈₀

I₁₅₀  = 10^7 * I₈₀

This shows that the intensity of a 150-dB sound is 10 million times greater than that of an 80-dB sound.

Therefore, a 150-dB sound is approximately 10 million times louder than an 80-dB sound.

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Answer:

  (a) 40.5 mA

  (b) 5.06 W

  (c) 0.473 W

Explanation:

(a) The 12 V source and two 20 Ω resistors can be replaced by their Thevenin equivalent: 6 V in series with 10 Ω. Then that source and the 8 Ω resistor can be replaced by a Norton equivalent source of (6V)/(18Ω) = 1/3A in parallel with 18 Ω.

Then the current through the 40Ω resistor is proportional to its conductance in relation to the total conductance of 18Ω, 40Ω, 40Ω, and 10Ω, all in parallel. That is, the current is ...

  (1/3A)((1/40)/(1/18 +1/40 +1/40 +1/10)) = (1/3A)(1/40)/(37/180) = 3/74 A

The current through either 40 Ω resistor is 3/74 A ≈ 40.5 mA

__

(b) The equivalent resistance of all resistors to the right of the 8Ω resistor is ...

  1/(1/40 +1/40 +1/10) = 6 2/3Ω

Then the load seen by the 12V source is 20Ω+(20Ω║(8Ω +6 2/3Ω)) = 28 6/13Ω. The power provided by the voltage source is then ...

  P = V²/Req = (12V)²/(370/13Ω) = 5 11/185 W ≈ 5.059 W

__

(c) Going back to the Thevenin equivalent voltage source, the 8Ω resistor is effectively in a series circuit with a total resistance of 10Ω +8Ω +6 2/3Ω = 24 2/3Ω and a source voltage of 6 V. Its power will be the square of the current, multiplied by its resistance.

  P = I²·R = (6v/24 2/3Ω)²·8Ω = 648/1369 W ≈ 0.473 W

Gender inequality in mechanical engineering can manifest through biased hiring practices, limited opportunities for women to advance to leadership roles, and a lack of representation in the industry.

Despite efforts to promote gender equality, women are still underrepresented in the field of mechanical engineering. This can be due to a variety of factors, including biased hiring practices, limited opportunities for career advancement, and a lack of representation in the industry.

To address these issues, it is important for companies and organizations to promote diversity and inclusion initiatives, such as actively recruiting women and people of diverse backgrounds, providing mentorship and networking opportunities, and advocating for policies that support work-life balance and equal pay. By creating a more inclusive environment, the field of mechanical engineering can attract and retain more talented individuals and foster innovation and growth.

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--The complete question is, How does gender inequality manifest in the field of mechanical engineering, and what are some potential solutions to address this issue?--

A photon is a tiny energy packet of electromagnetic radiation, also referred to as a light quantum.

1) Ultraviolet radiation is commonly used in sanitizing hospitals because, viruses, methicillin-resistant Staphylococcus aureus, and vancomycin-resistant enterococci are all susceptible to the germicidal effects of UV-C.

2) According to the photon theory, electrons that have been stimulated return to the ground state to create atomic emission spectra. Light or the photon is the energy that is released when electrons drop to a lower energy level.

3) To characterise the atomic characteristics of light, Albert Einstein used Planck's quantum theory.

Planck's hypothesis is supported by Einstein's demonstration that electromagnetic radiation, such as light, has both wave-like and particle-like properties.

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Answer:

equator

Explanation:

in south & north pole you could have 20+ hours daylight or night, everyday!

Answer:

True

Explanation:

Answer:

true true true true true

Explanation:

true true true

i) The initial deceleration of the car is -1.6 m/s² and  the time taken is 5 seconds

ii) The final deceleration is -1 m/s²

iii) The total dispalcement = 1016 m

The initial deceleration of the car is given by the formula below:

v² = u² + 2as

where;

Solving for a;

12² = 20² + 2 * a * 80

a = -1.6 m/s²

Time taken, t = v - u / a

t = 12 - 20 / (-1.6)

t = 5 seconds

Final deceleration:

a = v - u / t

a = 0 - 12 / 12

a = -1 m/s²

iii) Displacement at constant velocity = 12 * 1 * 60

Displacement at constant velocity = 720 m

Final displacement, s = ut + 0.5at²

s = 12 * 12 + 0.5 * 1 * 12²

s = 216 m

Total dispalcement = 80 + 720 + 216

Total dispalcement = 1016 m

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Using steel instead of soft iron for electromagnets would result in a significant decrease in the magnetic field strength and efficiency of the electromagnet.

Steel has a much lower permeability than soft iron, which means that it is less responsive to the magnetic field produced by the current flowing through the coil.

Soft iron has a high permeability, which allows it to become magnetized easily and strongly, producing a large magnetic field. Steel, on the other hand, has a lower permeability and requires a stronger magnetic field to become magnetized to the same degree as soft iron.

Therefore, using steel for electromagnets would result in weaker magnetic fields, which could limit the range of applications and decrease the effectiveness of the electromagnet. Additionally, the lower efficiency of the electromagnet would require more energy input to produce the same magnetic field strength as a soft iron electromagnet.

What would happen if you used steel instead for electromagnets ?

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The final velocity of the red ball is 18 m/s.

The term momentum has to do with the product of the mass and the velocity of an object We know that the momentum is always conserved in accordance with the Newton third law. Also it is clear that the momentum before collision is equal to the total momentum after collision and we are going to apply this principle here.

Then;

Mass of the blue ball =  6 kg

Mass of the red ball =  1 kg

Initial velocity of the blue ball =  4 m/s

Initial velocity of the red ball = 0 m/s

Final velocity of the red ball = ??

Final velocity of the blue ball =  1 m/s

We now have;

(6 * 4) + (1 * 0) = (1 * v) + (6 * 1)

24 = v + 6

v = 24 - 6

v = 18 m/s

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Answer:

Nutrition , heat , wind

Explanation:

Answer:

Microscope

Explanation:

Each electron provides a charge of -1.602 × 10^-19 coulombs. If there are 8.51 × 10^-6 extra electrons, 8.51 × 10^6 electrons___x = -1.602 × 10^-19*8.51 × 10^6/1=-1.32× 10^-12 coulombs.

So the extra electrons provide a charge of 1.32× 10^-12 coulombs. So the net charge is -1.32× 10^-12 coulombs (there are more electrons besides those extra electrons, but there are also protons, so they don’t affect the net charge – the other electrons just compensate the charge of the protons).

When the number of protons in the nucleus is different from the number of electrons around that nucleus, an electrical charge is created in the atom of matter. A negative charge is present in an atom if there are more electrons than protons.

A positive charge is present in an atom if there are more protons than electrons. The amount of charge that an atom carries is always a multiple of the elementary charge, or the charge that one electron or one proton carries.

Therefore, Each electron provides a charge of -1.602 × 10^-19 coulombs. If there are 8.51 × 10^-6 extra electrons, 8.51 × 10^6 electrons___x = -1.602 × 10^-19*8.51 × 10^6/1=-1.32× 10^-12 coulombs.

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When the masses are kept 4 m apart, the gravitational force between them will be 25 N.

The gravitational force between two masses can be expressed as

F1 = k / r1^2

where

F1 is the force at distance r1, k is the gravitational constant, and r1 is the initial distance.

In this case, we have:

F1 = 100 N (the force at distance 2 m)

r1 = 2 m (the initial distance)

To find the force at a different distance, let's say r2 = 4 m, we can use the inverse square law and solve for F2:

F2 = k / r2^2

We can set up a ratio using the formula:

F1 / F2 = (k / r1^2) / (k / r2^2)

Simplifying the equation:

F1 / F2 = (r2 / r1)^2

Substituting the given values:

100 N / F2 = (4 m / 2 m)^2

100 N / F2 = 2^2

100 N / F2 = 4

to find F2, we can rearrange the equation:

F2 = 100 N / 4

F2 = 25 N

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The total Resistance is 14 ohm, Current is V/14 and Power is V²/14.

R total= R1+R2+R3+R4 = 2+2+6+4= 14ohm

The 4 resistances are connected in series.

Current across R total = I = V/R total = V/14

Power= I. V= V/14 × V= V²/14

Ohm's law is one of the physics that is quite close to everyday life, because in everyday life, of course, we cannot be separated from electronic devices. As is known, almost all electronic devices require electricity to be turned on or operated. Every electrical device has different voltages, depending on their needs.

When the electricity supplied exceeds the required limit of the device, it is likely that the device will be damaged. Electricity itself appears because basically every object contains two types of charge, namely positive (protons) and negative (electrons). And when the negative charge or electrons move, an electric current will appear.

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Answer:

3

Explanation:

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

Length (L) = 3 m

Height (H) = 1 m

Mechanical advantage (MA) =.?

The ideal mechanical advantage for the system can be obtained as follow:

MA = L/H

MA = 3/1

MA = 3

Therefore, the ideal mechanical advantage for the system is 3

Answer:

Explanation:

Mechanical Advantage is the ratio of Input Distance / Output Distance.

In this case, the output distance is to bring up the cart by 1m.

The input distance is to push the cart by 3m.

Assume an ideal machine, MA = 3/1 = 3

The equal and opposite to the applied force on a spring is the spring force (option A).

Newton's third law states that to every action (force applied) there is an equal and opposite reaction (equal force applied in the opposite direction).

The above statement means that in every interaction, there is a pair of forces acting on the two interacting objects. The size of the forces on the first object equals the size of the force on the second object. The direction of the force on the first object is opposite to the direction of the force on the second object.

According to this question, a force is applied to a spring, the equal and opposite force will be the spring force.

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While certain types of glass containers may be suitable for short-term storage of vinegar, it is generally recommended to use non-reactive materials, such as plastic or stainless steel, for long-term storage to avoid any potential chemical reactions or corrosion.

Vinegar is an acidic liquid that contains acetic acid. When vinegar comes into contact with certain types of glass, particularly those made of lead or other reactive materials, a chemical reaction can occur. This reaction can lead to the leaching of potentially harmful substances into the vinegar.

Glass containers made from specific types of glass, such as soda-lime glass, are generally safe for storing vinegar.

However, it is important to note that prolonged storage or exposure to vinegar can still cause the glass to corrode over time. This can result in the deterioration of the glass container, potentially leading to breakage or the release of glass fragments.

To avoid any potential issues, it is recommended to use containers made of non-reactive materials, such as food-grade plastic or stainless steel, for long-term storage of vinegar. These materials do not react with the acidic nature of vinegar and do not pose a risk of leaching harmful substances.

Additionally, it is important to store vinegar in a cool, dark place to maintain its quality and prevent spoilage. Exposure to light and heat can degrade the quality of vinegar over time.

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a) If he's in upward motion  or  If he's in downward motion​ N = mg  

net force = mass * acceleration

a) If he's in upward motion

N - mg = ma

Since , lift is moving under constant velocity

a = 0

N - mg = m * 0

N = mg

b)  If he's in downward motion

mg - N = ma

Since , lift is moving under constant velocity

a = 0

mg = N

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The formula you mentioned is known as the dot product formula or the scalar product formula. It is used to find the angle between two vectors u and v.

Let's start by defining the vectors u and v. Suppose we have two vectors u and v in a two-dimensional space.

u = (u1, u2)

v = (v1, v2)

The dot product of these vectors is defined as:

u . v = |u| |v| cos(β)

where |u| and |v| are the magnitudes of the vectors u and v respectively, and β is the angle between the vectors u and v.

Now, let's derive this formula. The dot product of two vectors u and v is given by:

u . v = (u1 × v1) + (u2 × v2)

The magnitude of a vector is given by:

|u| = sqrt(u1² + u2²)

|v| = sqrt(v1² + v2²)

We can use the dot product and magnitude equations to obtain:

cos(β) = (u . v) / (|u| × |v|)

Multiplying both sides by |u| × |v| gives us:

|u| × |v| × cos(β) = u . v

Therefore, we have derived the dot product formula:

u . v = |u| × |v| × cos(β)

This formula can be used to find the angle between two vectors u and v in any two-dimensional or three-dimensional space.

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The complete question is-

Write the proof of the formula

u.v=|u||v|cosβ

When a typical comet in the Oort cloud is only 1 km in diameter, then the mass of the Oort cloud is changes to  4.18×10⁹ kg.

The mass of each comet int he Oort cloud is,

mass = density × Volume

volume of sphere = 4/3(π×r²) where, r = radius of the sphere

From the given,

diameter = 1 km

radius = Diameter / 2 = 1/2(D)

Volume of the comet = 4/3 (π×r²) = 4/3 (π× (1/2 (10)³)²)

                                   = 4/3×(π) ×(1/8×10⁶)

Mass = density  × volume, where density = 1000 kg/m³

         = 1000  × 4/3×(π) ×(1/8×10⁶)

        = 4.18 ×10⁹ kg

When the typical comet in the Oort cloud is only 12 km in diameter the mass of Oort cloud is 4.18×10⁹ kg.

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The diameter of the smaller end of the pipe is approximately 0.78 meters.

To determine the diameter of the smaller end of the pipe, we can use the principle of conservation of mass. According to this principle, the mass flow rate of water should remain constant throughout the pipe.

The mass flow rate is given by the equation:
Mass flow rate = density of water * cross-sectional area * velocity

Since the density of the water remains constant, we can write:
Cross-sectional area1 * velocity1 = Cross-sectional area2 * velocity2

Given that the velocity1 is 13 m/s, the diameter1 is 1.2 m, and the velocity2 is 30 m/s, we can solve for the diameter2 using the equation:
(pi * (diameter1/2)^2) * velocity1 = (pi * (diameter2/2)^2) * velocity2

Simplifying the equation:
(1.2/2)^2 * 13 = (diameter2/2)^2 * 30

Calculating the equation:
(0.6)^2 * 13 = (diameter2/2)^2 * 30

0.36 * 13 = (diameter2/2)^2 * 30

4.68 = (diameter2/2)^2 * 30

Dividing both sides by 30:
0.156 = (diameter2/2)^2

Taking the square root of both sides:
0.39 = diameter2/2

Multiplying both sides by 2:
0.78 = diameter2

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The buoyant force can be determined by subtracting the apparent weight of the object in water from its weight in air. In this case, the buoyant force would be 7N - 4N = 3N.

Based on the information provided, since the buoyant force (3N) is less than the weight of the object (7N), the object will not float.

Floating occurs when the buoyant force is greater than or equal to the weight of the object.

In this scenario, the object will experience a net downward force, indicating that it will sink rather than float in water.

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The speed of the artillery shell when it hits its target is 100 m/s.

Given:

Initial vertical displacement (y) = 200 m

Vertical displacement at 100 m in the air (y') = 100 m

Final velocity in the vertical direction (vy') = 0 m/s (at the highest point of the trajectory)

Using the equation for vertical displacement in projectile motion:

y' = vy^2 / (2g),

where g is the acceleration due to gravity (approximately 9.8 m/s^2), we can solve for the initial vertical velocity (vy).

100 m = vy^2 / (2 * 9.8 m/s^2),

vy^2 = 100 m * 2 * 9.8 m/s^2,

vy^2 = 1960 m^2/s^2,

vy = sqrt(1960) m/s,

vy ≈ 44.27 m/s.

Now, since the horizontal motion is independent of the vertical motion, the horizontal speed of the shell remains constant throughout its trajectory. Therefore, the speed of the shell when it hits its target is 100 m/s.

Hence, the speed of the artillery shell when it hits its target is 100 m/s.

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A hollow glass sphere has a density of 1.3g/cm at 20 C. Glycerine has a density of 1.26 g/cm at 20 C.

To determine the temperature at which the hollow glass sphere begins to float in glycerine, we need to calculate the density of glycerine at various temperatures and compare it to the density of the glass sphere.

The density of glycerine changes with temperature, so we need to use a density-temperature chart or equation to determine the density of glycerine at different temperatures.

Assuming the hollow glass sphere has a uniform wall thickness, we can calculate its volume by subtracting the volume of the hollow interior from the volume of the whole sphere

Volume of sphere = (4/3)π\(r^{3}\)

Volume of hollow interior = (4/3)π\((r-t)^{3}\)

Volume of glass wall = (4/3)π(\(r^{3}\) - \((r-t)^{3}\)), where t is the thickness of the glass wall.

From the density and volume of the glass sphere, we can determine its mass

Mass of glass sphere = Density of glass sphere x Volume of glass sphere

Next, we can use Archimedes' principle to determine the volume of glycerine displaced by the glass sphere when it is submerged in the glycerine

Volume of glycerine displaced = Mass of glass sphere / Density of glycerine at the given temperature

When the glass sphere floats, the volume of glycerine displaced will be equal to the volume of the glass sphere. Thus, we can set the two volumes equal to each other and solve for the temperature at which the density of glycerine matches the density of the glass sphere

Volume of glass sphere = Volume of glycerine displaced

(4/3)π\(r^{3}\) - (4/3)π\((r-t)^{3}\) = Mass of glass sphere / Density of glycerine at the given temperature

Hence, for the temperature requires knowing the radius and thickness of the glass sphere and the mass of the sphere.

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If the wind bounces backward from the sail, the boat will not be set in motion as no forward force is generated. For the boat to move forward, the sail must be positioned to catch the wind and create lift in the desired direction.

If the wind bounces backward from the sail, the craft will not be set in motion. In order for a sailboat to move forward, the wind must push on the sail, creating a force that propels the boat forward through the water. When the wind hits the sail, it creates lift in a direction perpendicular to the sail's surface, which results in a forward force that propels the boat.

However, if the wind bounces backward from the sail, it does not create lift and therefore does not result in a forward force on the boat. Instead, the wind is redirected in a different direction, and the boat remains stationary. In order for the boat to move forward, the sail must be positioned to catch the wind and create lift in the desired direction, propelling the boat forward.

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The time that have been taken by the liquid is  4.4 * 10^5 min.

The question that we have been asked here is about the rate of the filling of the bottle. We can see that we have been given the volume of the bottle clearly.

We know that the volume of the solution that we have is   195 U. S. fluid gallons or 0.74 m^3. Then we have that;

Density = mass/volume

mass = Density * volume

= 0.74 m^3 * 1000 Kg/m^3

= 740 Kg or 740000 g

Rate = mass/time

Time = mass/rate

Time = 740000 g/1.7 g/min.

= 4.4 * 10^5 min

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