A tank holds 100 gallons of water; which drains from a leak at the bottom causing the tank to empty in 40 minutes. Torricelli's Law gives the volume of the water remaining in the tank after t minutes as V(t) 100(1 - 1/40)^2 a) Find V^-1 What does it represent? b) Find V^-1(30). What does your answer represent? Since the variable time is the independent variable (on the x-axis) , the values must start at 0 and be positivve. This means that the graph will result in a function because you only get the right half of the parabola and the horizontal line test works.

If there is no air resistance, what is the net if there is 10 n of air resistance, what is the net force,the net force of an object is 0N and acceleration is 6N.

When compared to displacement and velocity, acceleration is like the wrathful, flaming dragon of motion variables. People may be terrified of it, it might be harmful, and if it's enormous, it draws your attention. When you're in a fast-turning corner in a car or go-kart or when you're in a plane during takeoff, you can feel your own acceleration.

Since velocity depends on both speed and direction, you can only accelerate by changing either one or the other, if not both. The object will be moving faster if the acceleration is pointing in the same direction as the velocity. Additionally, the item will slow down if the acceleration is pointing in the opposite direction from the direction of the velocity.

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The orange was at a height of 3.26 m above the ground.

The third equation of motion is

v² - u² = 2aS

Given is an orange dropped from a tree and had a velocity of 8 m/s just before it hits the ground.

We can write -

[v] = 8 m/s

[a] = 9.8 m/s²

[u] = 0 m/s

Using third equation of motion, we get -

v² - u² = 2aS

64 - 0 = 2 x 9.8 x S

64 = 19.6 x S

S = 3.26 m

Therefore, the orange was at a height of 3.26 m above the ground.

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Answer:

wool

Explanation:

Wool comes from sheep.  Rayon, candles (the paraffin type) and petrochemicals all come from petroleum.

Answer:

Mercury is the answer..

Answer:

I believe mercury

Explanation:

The correct option is option e) cross product

The cross-product is a new way of "multiplying" two vectors. It results in a new vector that is perpendicular to both the original vectors and its magnitude is given by the area of the parallelogram formed by the two original vectors.

In three-dimensional space, cross-product is a binary operation on two vectors. It yields a vector perpendicular to both vectors. a b represents the vector product of two vectors, a and b. Its resulting vector is parallel to a and b. Cross goods are another name for vector products.

The cross-product has four basic applications:

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The resistance of the 21.5 m long piece of 28 gauge copper wire with a diameter of 0.321 mm is 4.49 Ω.

The resistance (in Ω) of a wire can be calculated using the formula:

R = ρL/A

where R is the resistance, ρ is the resistivity of the wire material, L is the length of the wire, and A is the cross-sectional area of the wire.

The resistivity of copper is 1.68 × 10⁻⁸ Ω·m.

The cross-sectional area of a 28 gauge wire with a diameter of 0.321 mm can be calculated using the formula for the area of a circle:

A = πr² = π(d/2²

where r is the radius and d is the diameter.

d = 0.321 mm = 0.000321 m (converting millimeters to meters)

r = d/2 = 0.0001605 m

A = π(0.0001605 m)² = 8.068 × 10⁻⁸ m²

Now we can calculate the resistance:

R = ρL/A = (1.68 × 10⁻⁸ Ω·m)(21.5 m)/(8.068 × 10⁻⁸ m²) = 4.49 Ω

Therefore, the resistance of the 21.5 m long piece of 28 gauge copper wire with a diameter of 0.321 mm is 4.49 Ω.

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The tension in the wire immediately after the collision is 56 N.

To solve this problem, we need to apply the law of conservation of momentum. Initially, the total momentum of the system is zero, and after the collision, the momentum is conserved. We can write:

m1v1 + m2v2 = (m1 + m2)vf

where m1 and v1 are the mass and velocity of the ornament, m2 and v2 are the mass and velocity of the missile, and vf is the final velocity of the combined system. Since the ornament is hanging vertically, we know that its initial velocity is zero. Solving for vf, we get:

vf = (m1v1 + m2v2)/(m1 + m2)

vf = (5 kg)(0 m/s) + (3 kg)(12 m/s)/(5 kg + 3 kg) = 9 m/s

Now, we can use Newton's second law to find the tension in the wire. The net force on the system is equal to the mass times the acceleration, which is vf^2/R, where R is the length of the wire. The only force acting on the system is the tension in the wire. So

T - (m1 + m2)g = (m1 + m2)vf^2/R

where g is the acceleration due to gravity. Solving for T, we get:

T = (m1 + m2)g + (m1 + m2)vf^2/R

T = (5 kg + 3 kg)(9.81 m/s^2) + (5 kg + 3 kg)(9 m/s)^2/1.5 m

T = 56 N

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Answer:

  75.645 J

Explanation:

The kinetic energy is related to the mass and velocity by the formula ...

  KE = 1/2mv²

For the given mass of 0.045 kg, and velocity of 41 m/s, the kinetic energy is ...

  KE = 1/2(0.045 kg)(41 m/s)² = 75.645 J

__

The unit of energy, joule, is a derived unit equal to 1 kg·m²/s².

Explanation:

A. Something that occupies a volume of space and also has mass

Answer:

D for the first one and A for the second.

Explanation:

Hurricanes are usually caused by warmer waters.

Wind is created due to the movement of air because of the temperatures.

The cause of the phenomenon is  because the sound waves are spread out over a large area. Option 1 is correct.

In this case, the sound waves are spread out over a large area. This is due to the fact that sound waves propagate outward from their source in all directions, creating a spherical wavefront that expands as it moves away from the source. As the wavefront expands, the same amount of sound energy is distributed over a larger and larger area, causing the sound intensity to decrease with distance from the source. This is known as the inverse square law, which states that the intensity of a sound wave decreases proportionally to the square of the distance from the source. Therefore, the farther away you are from the source of the sound, the weaker it will be.

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Answer:

Life means to exist' in general

Answer:

Option D. 793.8 J

Explanation:

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

Mass (m) of object = 90 Kg

Height (h) = 0.9 m

Acceleration due to gravity (g) = 9.8 m/s²

Potential energy (PE) =...?

Potential energy is simply defined as the energy possessed by an object by reason of its position. Mathematically, it can be expressed as:

PE = mgh

Where:

'PE' is the potential energy.

'm' is the mass of object.

'g' is the acceleration due to gravity.

'h' is the height to which the object is located.

With the above formula, we can obtain the potential energy, PE as follow:

Mass (m) of object = 90 Kg

Height (h) = 0.9 m

Acceleration due to gravity (g) = 9.8 m/s²

Potential energy (PE) =...?

PE = mgh

PE = 90 × 9.8 × 0.9

PE = 793.8 J

Therefore, the potential energy of the object is 793.8 J

Answer: I think it would be lava, water and air

Explanation: I’m not so sure

Answer:

fire , water , land

Explanation:

i'm guessing i don't know what kind of forces we're talking about here :)

add me as a friend , ill add back so we can be friends !! <3

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☁˖⁺  drink plenty of water to stay hydrated

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☁ ˖⁺ its never okay to stay silent .  

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Answer:

asteroid belt

Explanation:

The asteroid belt is a torus-shaped region in the Solar System, located roughly between the orbits of the planets Jupiter and Mars, that is occupied by a great many solid, irregularly shaped bodies, of many sizes but much smaller than planets, called asteroids or minor planets.

Answer:

The bonds can shift because valence electrons are held loosely and move freely.

Explanation:

Ill put the rest of the answers in the comments

Answer:

The bonds can shift because valence electrons are held loosely and more freely.

According to the question Aluminum Iron Copper Silver and Lead  could potentially be.

Copper is a chemical element with the symbol Cu and atomic number 29. It is a soft, malleable, and ductile metal with very high electrical and thermal conductivity. It is a reddish-orange metal that occurs naturally in the environment and is found in many different minerals. Copper has been used by humans since ancient times, and was the first metal to be used by humans. It is considered a base metal, meaning that it is not especially rare or valuable. Copper is often used in many different areas, such as electrical wiring, plumbing, and cooking utensils. It is also used in construction and manufacturing, and is a key component in many alloys. Copper is highly corrosion resistant, making it an ideal material for many different uses. Copper is also believed to have some health benefits, as it is an essential trace mineral and can be found in many foods and supplements. Copper is an important part of a healthy diet and is essential for life.

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Answer:

F = 1250000 N

Explanation:

If you have 50,000 S, by 25 M. It would be calculated to 1,250,000 N.

If an inelastic collision takes place, during the collision, the total linear momentum is conserved.

Whether two bodies collide with each other in inelastic manner or in elastic manner, the total linear momentum is always conserved.

So, in this case, the momentum will be conserved.

And we know,

Mechanical energy is the sum of potential energy and kinetic energy.

So, we can write,

ME = PE + KE

When the bodies collide in inelastic manner, the kinetic energy is not conserved.

The total kinetic energy after the collision is less than the total kinetic energy before collision.

So, the mechanical energy of the system is not conserved.

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Answer: A

Explanation:

The more current flows through a bulb, the brighter the bulb and vice versa. Resistance and current are inversely proportional to each other. Since 100W lamp is brighter, more current flows through it, thus meaning that its resistance is lower than that of the 25W lamp.

The electrical resistance of the 100-W lamp is Less. The correct option is A.

The electrical resistance of a lamp is determined by its physical properties such as the length and cross-sectional area of its filament. A 100-W lamp glows brighter than a 25-W lamp because it is designed to dissipate more power as light energy, indicating that the 100-W lamp has a lower resistance than the 25-W lamp.

This is because, according to Ohm's Law, the power dissipated by a resistive element is equal to the square of the current passing through it multiplied by its resistance. If the power is increased, the current passing through the lamp will also increase, and in order to maintain the same voltage across the lamp, the resistance must decrease. Therefore, the electrical resistance of the 100-W lamp is less than that of the 25-W lamp.

Therefore the correct option is A.

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Answer:

F = 98 N

Explanation:

Data:

Use formula:

Replace:

Multiply both operations, with the units:

What is the amount of the force?

The amount of the force is 98 Newtons.

Answer:

two 5kg objects 2 meters apart✨

The frequency of light f radiated by an electron = 9.860×10¹⁵ Hz

According to the Bohr model of a hydrogen atom, the frequency of light radiated by an electron moving from an orbit n₁ to an orbit n₂ corresponds to the energy level difference between n₁ and n₂ of :

E = E₀ (1/n₁² -1/n₂²)

Where,

E₀ = mₓZ²e⁴/32π²∈₀h²

Where,

mₓ is the electron mass

Z is the atomic number

e is the magnitude of the electron charge

∈₀ is the permittivity of free space

h  is Planck's constant divided by 2π.

In the case of hydrogen (Z = 1).

∈₀ = -13.6 eV

The frequency of light f radiated by an electron = 9.860×10¹⁵ Hz

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Given data:

* The distance traveled is 346 m.

Solution:

Let m be the mass of the body.

Then, the gravitational potential energy of the body on reaching the top of the tower is,

where g is the acceleration due to gravity, and h is the height of the tower,

As mg is the weight of the body.

Substituting the known value,

where w is the weight of the body,

When a person walks to the certain height, the internal energy of the person's body is converted into the gravitational potential energy.

A fuel-filled rocket is at rest. It burns its fuel and expels hot gas. The gas has a momentum of 1,500 kg m/s backward. So, The momentum of the rocket is -1500 kg m/s.

According to the law of conservation of momentum, in a closed system, the total momentum before and after a process remains constant.

A fuel-filled rocket that is initially at rest expels hot gas as it burns its fuel. The gas has a momentum of 1500 kg m/s backward.

We are required to determine the momentum of the rocket.

Consider the fuel-filled rocket as a system.

We have: Momentum before the burn = 0 kg m/s (since the rocket was at rest initially)Momentum after the burn = momentum of the expelled gas

We can therefore say that the initial momentum of the system was zero (0), and after the burn, the total momentum of the system remains the same as the momentum of the expelled gas.

Therefore: Momentum of rocket = - momentum of expelled gas

The negative sign signifies that the rocket's momentum is in the opposite direction of the expelled gas.

Hence, the momentum of the rocket is -1500 kg m/s.

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Number of excess electrons in the sphere = 13

When the metal spheres touch, electrons will flow from the sphere with higher excess electrons to the one with lower excess electrons until they have equalized.

In this case, the first sphere had 11 excess electrons and the second sphere had 15 excess electrons. When they touch, electrons will flow from the second sphere to the first sphere until they have equalized.

The total excess electrons between the two spheres is 11 + 15 = 26.

Dividing that by 2 (since they will have equalized), each sphere will have 13 excess electrons.

Therefore, the second sphere will have 13 - 15 = -2 excess electrons.

Note: A negative excess of electrons means that the sphere has a deficit of electrons.

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The car's speed at the top is 0.6 m/s^2

The diameter of loop d = 40 mm

The radius of loop r = 20 mm = 0.02 m

At the top position, we can write,

Weight and Normal reaction combination will provide the centripetal force i.e.

R + W = mv²/R

R = W [apparent weight = Actual weight]

2W = 2mg = mv2/r

v = √2gr

v = 2 x 10 x 0.02 = 0.6 m/s^2

Hence, the car's speed at the top is 0.6 m/s^2

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The speed of object A at the end of the ramp is approximately 25.39 m/s.

Part (a) The two objects, A (solid cylinder) and B (hollow cylinder), will reach the bottom of the ramp at the same time.

The time it takes for an object to reach the bottom of a ramp depends on its mass distribution and shape, not on whether it is solid or hollow.

In the absence of any other information, we can assume that both objects have similar mass distributions and roll without slipping, resulting in them reaching the bottom of the ramp simultaneously.

Therefore, the answer is 3) They will reach the bottom at the same time.

Part (b) To calculate the speed of object A at the end of the ramp, we can use the principle of conservation of energy.

The potential energy at the beginning of the ramp is converted into kinetic energy at the bottom of the ramp.

The potential energy (PE) at the beginning of the ramp is given by:

PE = m * g * h

where m is the mass of object A, g is the acceleration due to gravity, and h is the height of the beginning of the ramp.

Mass of object A (m) = 340 g = 0.34 kg

Radius of object A (r) = 31 cm = 0.31 m

Height of the beginning of the ramp (h) = 41 cm = 0.41 m

Acceleration due to gravity (g) = 9.8 m/s²

The potential energy at the beginning of the ramp is:

PE = 0.34 kg * 9.8 m/s² * 0.41 m

PE ≈ 1.375 J

At the bottom of the ramp, the potential energy is fully converted into kinetic energy:

KE = 1/2 * I * ω²

where I is the moment of inertia of the object and ω is the angular velocity.

For a solid cylinder, the moment of inertia is given by:

I = (1/2) * m * r²

Substituting the given values:

I = (1/2) * 0.34 kg * (0.31 m)²

I ≈ 0.0169 kg·m²

Since the object rolls without slipping, the linear speed (v) can be related to the angular velocity (ω) by the equation:

v = ω * r

Solving for ω:

ω = v / r

The linear speed at the end of the ramp is equal to the radius times the angular velocity.

Substituting the values:

v = (1.375 J / 0.0169 kg·m²) * 0.31 m

v ≈ 25.39 m/s

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Answer:

true

Explanation:

hope u find this helpfull