An object of mass m is launched from planet of mass and radius R. E v 50 % Part (a) Derive and enter an expression for the minimum launch spced needed for the object to escape gravity, i.. to be able to just reach v=M(2GMR ) Correct_ 50 % Part (b) Calculate this minimum launch speed (called the escape speed) , in meters per second for a planet of mass M = 7 x 1024kg and R = 82 102 km_ Grad Summart v( 2 * 6.67 10-11 * 7 * 1024/( 82 10- Dcducuons Porentual 985

Unless A=B or unless either A or B is the empty set, AxB does not equal BxA. Students typically have no trouble understanding this because we define a cartesian product as an ordered pair, which implies that order would be important.

A plane's cartesian form is denoted by the formula ax + by + cz = d, where a, b, and c are the direction cosines normal to the plane and d is the distance from the origin to the plane.

If and only if the matching initial elements in both ordered pairs are the same, two ordered pairs are said to be equivalent. (ii) There will be mn elements in A B if there are m elements in A and n elements in B. This means that n(A B) if n(A) = m and n(B) = n.

Therefore, When the inner inverse fulfils P R (B ) B (A B) = 0 and (A B) B P R (B) = 0, it is implied that is closed and is the general solution.

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Answer:

4.06 seconds

148.3 meters

Explanation:

To solve for the time it takes for the projectile to hit the ground, we can use the following kinematic equation:

y = y_0 + v_0y * t + 1/2 * a_y * t^2

where y is the final height (0 m), y_0 is the initial height (also 0 m), v_0y is the initial vertical velocity, and a_y is the acceleration due to gravity (-9.8 m/s^2).

First, we need to find v_0y, the initial vertical velocity:

v_0y = v_0 * sin(theta) = 42 m/s * sin(28 degrees) ≈ 19.6 m/s

Now, we can solve for the time it takes to hit the ground:

0 = 0 + 19.6 m/s * t + 1/2 * (-9.8 m/s^2) * t^2

Simplifying and solving for t, we get:

t ≈ 4.06 seconds

Therefore, it takes about 4.06 seconds for the projectile to hit the ground.

To find the horizontal distance traveled by the projectile, we can use the following kinematic equation:

x = v_0x * t

where x is the horizontal distance traveled, v_0x is the initial horizontal velocity, and t is the time it takes to hit the ground (which we just calculated).

Since there is no air resistance, the horizontal velocity remains constant throughout the motion. Therefore:

v_0x = v_0 * cos(theta) = 42 m/s * cos(28 degrees) ≈ 36.5 m/s

Now, we can plug in the values to find the horizontal distance traveled:

x = 36.5 m/s * 4.06 s ≈ 148.3 meters

According to Chargaff's rule, the amounts of adenine (A), thymine (T), and guanine (G) in the DNA molecule are equal to each other. The amounts of cytosine (C) and guanine (G) are also equal.

Erwin Chargaff was a biochemist, author, Bucovinian Jew who immigrated to America during the Nazi era, and professor of biochemistry at Columbia University's medical school.

Chargaff found patterns among the four bases, or chemical building blocks, of DNA, which are directly related to DNA's function as the genetic material of living things.

He was born in Austria-Hungary. Heraclitean Fire: Sketches from a Life Before Nature, an autobiography he penned, received positive reviews.

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Answer:

Por lo tanto, la presión del ozono es:

\(P=0.011\: atm\)  

Explanation:

Podemos usar la ecuacion de los gases ideales;

\(PV=nRT\) (1)

Tenemos:

El volumen V = 224 dm³ = 224 L

La temperatura T = 51.09 C = 324.09 K

La masa es m = 4.561 kg

Lo necesitamos ahora es calvular n que es el numero de moles;

recordemos que el peso molecular del ozono M = 48 g/mol.

\(n=\frac{m}{M}=\frac{4.561}{48}=0.095\: mol\)

Finalmente, usando la ecuacion 1 despejamos la presion P

\(P=\frac{nRT}{V}\)

\(P=\frac{0.095*0.082*324.09}{224}\)  

Por lo tanto, la presion del ozono es:

\(P=0.011\: atm\)  

Espero te haya ayudado!

if 3kg moves at 4.50 so 50 is 225

Answer:

The train company has to consider the speed of the design

Explanation:

in the question it says it's designing a high-speed train so the speed takes priority because that's the main goal

Answer:

D

Explanation:

The scientific study of physics focuses on the underlying concepts that underpin the laws of nature. It investigates how matter, energy, space, and time behave and interact. Physics' fundamental goal is to comprehend the underlying laws and forces that create our universe.

Physics has developed theories and rules to explain a wide variety of events, from the motion of celestial bodies to the behaviour of subatomic particles, via meticulous observation, investigation, and mathematical analysis.

These theories offer a framework for comprehending and forecasting the behaviour of physical systems, such as Newton's laws of motion and Einstein's theory of relativity.

From the tiniest particles to the biggest cosmic structures, physics has enhanced our understanding of the world and sparked a host of technological advances.

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Which metal is the hardest?

Copper

Lead

Nickel

Titanium

Answer:

a) iv. Displacement per unit time

b) ii. m/s2

c) this question is wrong

d) iv. m

A. The kinetic energy of the stone is 4500 J

B. The kinetic energy of the baseball is 180 J

C. The kinetic energy of the bullet is 900 J

KE = ½mv²

KE = ½ × 10 × 30²

KE = 5 × 900

KE = 4500 J

KE = ½mv²

KE = ½ × 0.1 × 60²

KE = 0.05 × 3600

KE = 180 J

KE = ½mv²

KE = ½ × 0.02 × 300²

KE = 0.01 × 90000

KE = 900 J

From the above, we see clearly that the stone has the highest kinetic energy followed by the bullet and then the baseball.

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Both types of waves, electromagnetic and mechanical, involve the transfer of energy through a mediumor through space. Option D

One characteristic shared by electromagnetic and mechanical waves is that both types of waves occur as a result of a disturbance. Waves, in general, are a means of transferring energy from one location to another without the physical displacement of particles.

Whether it's an electromagnetic wave or a mechanical wave, there needs to be a disturbance or source of energy that initiates the wave.

In the case of electromagnetic waves, such as light waves or radio waves, the disturbance is the oscillation of electric and magnetic fields. These fields interact with each other and propagate through space, carrying energy with them.

The disturbance can be caused by various sources, such as the acceleration of charged particles or the vibrations of atoms or molecules.

On the other hand, mechanical waves, such as sound waves or water waves, require a medium (substance) to propagate. The disturbance in mechanical waves is the vibration or oscillation of particles in the medium. For example, in a sound wave, the disturbance is the back-and-forth movement of air molecules caused by a vibrating object.

Both types of waves, electromagnetic and mechanical, involve the transfer of energy through a medium (in the case of mechanical waves) or through space (in the case of electromagnetic waves). They both require a disturbance to initiate the wave and share the fundamental property of wave motion. Option D

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Answer:

The change in the mass of box = 0.01 kg

Volume of air in the polythene bag = Volume of air in the rigid box

Therefore, Volume of air in the box = 0.008 m^3

Now, Density = Mass/ Volume

=> Density = 0.01 / 0.008 = 1.25 Kg / m^3

Explanation:

I looked it up

In general, option c - warming it up on the stove - is often an effective method to increase the reaction rate.

Increasing the temperature of a reaction generally leads to faster reaction rates. This is because higher temperatures provide more thermal energy to the reactant particles, causing them to move faster and collide more frequently. The increased collision frequency and energy lead to more successful collisions and a higher likelihood of effective molecular interactions, which speeds up the reaction. On the other hand, options a and b - putting it in the fridge where it is cold or covering it with a blanket to make it dark - are unlikely to have a significant effect on the reaction rate. While temperature can influence reaction rates, cooling the reaction or making it dark typically reduces the kinetic energy of the particles, resulting in slower reaction rates. Option d - there is nothing you can do to change the speed of the reaction - is not accurate. The reaction rate can be influenced by various factors such as temperature, concentration, catalysts, and surface area, among others. By manipulating these factors, it is often possible to control and change the speed of a reaction. Hence option c, is correct

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The airplane will strike the ground at a horizontal distance of 490 meters.

To determine how far the airplane will strike on the ground, we need to consider the horizontal distance traveled by the airplane during its flight.

The horizontal distance traveled by an object can be calculated using the formula:

Distance = Speed × Time

In this case, the speed of the airplane is given as 100 meters per second and the time it takes to cover the distance of 490 meters is unknown. Let's denote the time as t.

Distance = 100 m/s × t

Now, to find the value of time, we can rearrange the equation as follows:

t = Distance / Speed

t = 490 m / 100 m/s

t = 4.9 seconds

Therefore, it takes the airplane 4.9 seconds to cover a horizontal distance of 490 meters.

Now, to calculate the distance on the ground where the airplane will strike, we can use the formula:

Distance = Speed × Time

Distance = 100 m/s × 4.9 s

Distance = 490 meters

It's important to note that this calculation assumes a constant speed and a straight flight path. In reality, various factors such as wind conditions, changes in speed, and maneuvering can affect the actual distance traveled by the airplane.

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Answer:

There will be no tides

Explanation:

Answer:

The speed of a wave is equal to the wavelength divided by the period. The wavelength is the distance between two consecutive nodes, and the period is the time it takes for one complete cycle of the wave.

In this case, the wavelength is 6 m and the period is 0.2 s. Therefore, the speed of the wave is 30 m/s.

The answer is 30 m/s.

Explanation:

Answer:

The formula for speed is speed = distance ÷ time. To work out what the units are for speed, you need to know the units for distance and time. In this example, distance is in metres (m) and time is in seconds (s), so the units will be in metres per second (m/s).

Given:

The diameter of the circular loop is: d = 2r = 21.475 cm.

The current in the wire is: I = 3.917 A.

To find:

The magnetic field at the center of the loop.

Explanation:

The magnetic field at the center of the circular loop is:

Final answer:

The magnetic field at the center of the circular loop is 22.92 micro Tesla.

The left vertical line part of the diagram indicates the amplitude of the wave.

The amplitude of a wave or vibrating body is defined as the maximum displacement or distance generated by a point on the wave or body compared to its position of equilibrium. It is the same as the length of the vibration path divided by half.

The wave's amplitude is shown by the left vertical line in the figure, which depicts the highest displacement or distance that a spot on a wave or moving body can make compared to its equilibrium position. So the left vertical line part of the diagram indicates the amplitude of the wave.

The figure of the question is attached.

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Answer:

D. Friction and air resistance created heat on his trip up the hill.

Explanation:

Energy transformation from one form to another is not 100% efficient. This is the postulate of the first law of thermodynamics.

Most of the energy transformation is not purely 100%.

When energy is transformed, some are usually wasted.

Answer:

The vertical component of the velocity can be found using the formula:

V₀y = V₀ * sin(θ)

where V₀ is the initial velocity, θ is the angle of projection, and V₀y is the vertical component of the velocity.

Substituting the given values, we have:

V₀y = 48 * sin(53°)

Using a calculator, we can evaluate sin(53°) to be approximately 0.799:

V₀y = 48 * 0.799

V₀y ≈ 38.352

Therefore, the vertical component of the velocity with which the ball was launched is approximately 38 meters/second, which corresponds to option B.

Answer:

B.) 38 meters/second

Explanation:

Answer:

(a) The resistance of 25m of wire is 3 ohms

(b) the length of this wire that has resistance 22 ohms is 183.33 m

Explanation:

Given;

resistivity of the wire, ρ = 0.12 ohms per meter

(a) The resistance of 25m of wire is calculated as follows;

\(R = \rho L\\\\R = 0.12 \ \frac{ohms}{m} \times 25\ m\\\\R = 3 \ ohms\)

(b) the length of this wire that has resistance 22 ohms is calculated as;

\(L = \frac{R}{\rho} \\\\L = \frac{22 \ ohms }{0.12 \ ohms/m} = 183.33 \ m\)

The heat loss from the object in 13 minutes is \(Q = -1.503684 * 10^{-3} Joules\)

Heat loss can be calculated using this formula:

\(\frac{Q}{t} = oeA(T^{4} _{2} - T^{4} _{1})\\\)

It can be found that:

Q = heat loss in joules

t = time in seconds, 13 minutes = 780seconds

σ = (5.67 x 10⁻8J/s . m² . K⁴)

e = emissivity, 1

A = surface area of 1m²

T₂ = temperature of a room,  296 K

T₁ = temperature of an object, 330 K

Find \(Q\), where \(Q\) = \(\frac{Q}{t} = oeA(T^{4} _{2} - T^{4} _{1})\\\) = \(Q = oeA(T^{4} _{2} - T^{4} _{1}) t\\\)

\(Q = (5.67 x 10^{-8} J/s . m^{2} . K^{4} ) (1) (1) (296 K^{4} - 330 K^{4} ) (780)\\\)

\(Q = -0.001503684J\)

\(Q = -1.503684 * 10^{-3} Joules\)

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Answer:

10 N

Explanation:

Newton's Second Law equation: Fnet = ma

Assuming no frictional force, plug in the values to get your answer!

Fnet = 5kg x 2m/s^2 = 10 N

Answer:

As a form of energy, heat has the unit joule (J) in the International System of Units (SI). However, in many applied fields in engineering the British thermal unit (BTU) and the calorie are often used. The standard unit for the rate of heat transferred is the watt (W), defined as one joule per second

Explanation:

Hope it helps

Answer:

  v₀ = 6.64 m / s

Explanation:

This is a projectile throwing exercise

          x = v₀ₓ t

          y = y₀ + v_{oy} t - ½ g t²

In this case they indicate that y₀ = 1.8 m and the point of the basket is x=4.9m y = 3.0 m

the time to reach the basket is

        t = x / v₀ₓ

we substitute

        y- y₀ = \(\frac{ v_o \ x \ sin \theta }{ v_o \ cos \theta} - \frac{1}{2} g \ \frac{x^2 }{v_o^2 \ cos^2 \theta }\)

        y - y₀ = x tan θ - \(\frac{ g \ x^2 }{ 2 \ cos^2 \theta } \ \frac{1}{v_o^2 }\)

we substitute the values

        3 -1.8 = 3.0 tan 60 - \(\frac{ 9.8 \ 3^2 }{2 \ cos^2 60 } \ \frac{1}{v_o^2}\)

        1.2 = 5.196 - 176.4 1 / v₀²

        176.4 1 / v₀² = 3.996

        v₀ = \(\sqrt{ \frac{ 176.4}{3.996} }\)

        v₀ = 6.64 m / s

The final amount of pressure caused by the force is 90 N/m².

Initial amount of force, F₁ = 22 x 10³ N

Initial amount of pressure produced, P₁ = 110 N/m²

Final amount of force exerted, F₂ = 18 x 10³ N

Pressure is defined as the amount of force acting on an object per unit area of the object.

So, we can say that the force and pressure are directly proportional.

F ∝ P

So, F₁/P₁ = F₂/P₂

Therefore, the final amount of pressure caused by the force is,

P₂ = F₂P₁/F₁

P₂ = 18 x 10³x 110/22 x 10³

P₂ = 18/0.2

P₂ = 90 N/m²

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The electron number cannot be used instead because electrons can be removed from or added to an atom (option C)

The element of an atom is determined by its proton count, while the electron count can exhibit variability. Take, for instance, a sodium atom, which encompasses 11 protons and 11 electrons. However, it has the capacity to relinquish one electron, transforming into a sodium ion housing only 10 electrons.

This occurs due to the relatively loose binding of electrons to the nucleus, enabling their removal through the influence of an electric field or alternative mechanisms.

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