The universe was 5 percent its current size when light left objects observed now at redshift of ______________

Answer:

Magdeburg hemispheres are two half-spheres of equal size. Placing them together traps air between them. This air is merely trapped, and not compressed, so the pressure inside is the same as the pressure of the atmosphere outside the spheres. The spheres thus pull apart with nearly no resistance.

The Magdeburg hemispheres are a pair of large copper hemispheres, with mating rims. They were used to demonstrate the power of atmospheric pressure. When the rims were sealed with grease and the air was pumped out, the sphere contained a vacuum and could not be pulled apart by teams of horses.

25  m/s² is the object's acceleration

m1a1=m2a2

m1=5kg

m2=3 kg

a1= 15 m/s²

a2=?

m1a1=m2a2

a2=m1a1/m2

a2=5×15÷3

a2= 25  m/s²

Acceleration is a vector variable that describes the rate at which an object changes its velocity.

An object is said to be accelerating if its velocity is changing. Occasionally, a moving object can change its velocity by the same amount each second. a moving object whose speed fluctuates by 10 m/s every second. This is referred to as a constant acceleration since the velocity is changing by a fixed amount each second.

The difference between an object with a constant acceleration and one with a constant velocity must be understood. Do not be fooled! If an object's velocity changes, whether it does so by a constant amount or a variable amount, then it is accelerating. Furthermore, something that is travelling at a steady speed is not accelerating.

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The frictional force involved when a penny sinks to the bottom of a wishing well is primarily due to viscous drag or fluid friction. As the penny moves through the water, it experiences resistance from the surrounding fluid. This resistance is caused by the frictional forces between the water molecules and the penny's surface.

Answer:

Endurance, or aerobic

Strength, or resistance training

Balance

Flexibility

Explanation:

Answer:

Walking. Walking is simple, yet powerful. It can help you stay trim, improve cholesterol levels, strengthen bones, keep blood pressure in check, lift your mood, and lower your risk for a number of diseases (diabetes and heart disease, for example).

Answer:

The speed of the bullet just before the impact is 701 m/s

Explanation:

Given;

mass of the bullet, m₁ = 20 g = 0.02 kg

mass of the block, m₂ = 2.8 kg

displacement of the block, d = 9 mm = 9 x 10⁻³ m

duration of motion of the bullet, t = 5 ms = 5 x 10⁻³ s

Apply the principle of conservation of energy;

The final kinetic energy of the bullet = maximum potential energy of the block

\(\frac{1}{2} m_1v^2 = m_2gh\\\\v^2 = \frac{2m_2gh}{m_1} \\\\v= \sqrt{\frac{2m_2gh}{m_1} } \\\\v = \sqrt{\frac{2 \times 2.8 \times 9.8 \times (9\times 10^{-3})}{0.02} } \\\\v = 4.97 \ m/s\)

Apply the principle of conservation of linear momentum, to determine the initial velocity of the bullet before the impact.

m₁u₁  +  m₂u₂  =  v(m₁  +  m₂)

where;

u₁ is the initial velocity of the bullet

u₂ is the initial velocity of the block = 0

m₁u₁  +  0  = v(m₁  +  m₂)

m₁u₁  =  v(m₁  +  m₂)

0.02u₁ = 4.97(2.8 + 0.02)

0.02u₁ = 14.02

u₁ = 14.02 / 0.02

u₁ = 701 m/s

Therefore, the speed of the bullet just before the impact is 701 m/s

Answer:

Explanation:

A = 6i - 4j + 8k

B = 2i + 4j - 14k

A + B = (6+2)i + (-4+4)j + (8-14)k

A + B = 8i +0j -6k

A + B = 8i - 6k

(1/2)(A + B) = 4i - 3k

d = √ (4² + 3²) = 5

e = (4/5)i -(3/4)j

Answer:

Yes, you are correct. In order to be in equilibrium, two charges must have equal but opposite charges. So, if the total charge is -6 x 10^-9 C, dividing it into equal and opposite charges would give each charge a value of 3 x 10^-9 C. This is because (-6 x 10^-9 C) / 2 = 3 x 10^-9 C.

The current reading on the ammeter A is 0.30 A.

A stream of charged particles, such as electrons or ions, travelling through an electrical conductor or a vacuum is known as an electric current. The net rate of electric charge flowing through a surface or into a control volume is how it is calculated.

Charge carriers, which can be any of a number of particle kinds depending on the conductor, are the moving particles.

Current is scalar quantity and it follows the algebraic summation during addition.

The current reading on the ammeter A is = (0.20 A + 0.10 A) = 0.30 A.

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Answer:

Pulley = Flag Pole

Screw = Side latch

Wedge = Scissors

Wheel and axle = Car

Answer:

The value is      \(A = 39315 \ m^2\)

Explanation:

From the question we are told that

    The velocity which the rover is suppose to land with is  \(v = 1 \ m/s\)

    The  mass of the rover and the parachute is  \(m = 2270 \ kg\)

     The  drag coefficient is  \(C__{D}} = 0.5\)

      The atmospheric density of Earth  is  \(\rho = 1.2 \ kg/m^3\)

     The acceleration due to gravity in Mars is  \(g_m = 3.689 \ m/s^2\)

Generally the Mars  atmosphere density is mathematically represented as

          \(\rho_m = 0.71 * \rho\)

=>        \(\rho_m = 0.71 * 1.2\)

=>        \(\rho_m = 0.852 \ kg/m^3\)

Generally the drag force on the rover and the parachute  is mathematically represented as

          \(F__{D}} = m * g_{m}\)

=>       \(F__{D}} = 2270 * 3.689\)  

=>       \(F__{D}} = 8374 \ N\)  

Gnerally this drag force is mathematically represented as

         \(F__{D}} = C__{D}} * A * \frac{\rho_m * v^2 }{2}\)

Here A is the frontal area

So  

         \(A = \frac{2 * F__D }{ C__D} * \rho_m * v^2 }\)

=>       \(A = \frac{2 * 8374 }{ 0.5 * 0.852 * 1 ^2 }\)

=>       \(A = 39315 \ m^2\)

Answer:

magnitude is 1382.59 N/C

Explanation:

Given the data in the question;

The time taken is;

t = x / v

we substitute;

t = ( 2 × 10⁻²) / ( 5.69  × 10⁶ )

t = 3.5149 × 10⁻⁹ s

next, the acceleration is;

a = 2y/t² = [2( 0.150 × 10⁻²)] / [ ( 3.5149 × 10⁻⁹ )² ]

a =  2.42826 × 10¹⁴ m/s²

now, the electric field is;

E = ma / q

we know that;

mass of electron m = 9.11 × 10⁻³¹ kg,

charge of electron q = 1.60 × 10⁻¹⁹ coulomb

we substitute

E = ( 9.11 × 10⁻³¹ )(2.42826 × 10¹⁴) / 1.60 × 10⁻¹⁹

E = 2.21214 × 10⁻¹⁶  / 1.60 × 10⁻¹⁹

E = 1.3826 × 10²¹

E = 1382.59 N/C

Therefore, magnitude is 1382.59 N/C  

Answer:

STATES OF MATTER The three important states of the matter are (i) Solid state (ii) Liquid state (iii) Gaseous state, which can exist together at a particular temperature and pressure e.g. water has three states in equilibrium at 4.58 mm and 0.0098ºC.

Explanation:

The magnitude of acceleration of block 2 is 4.67 m/s².

The diagram representing the blocks is shown below:It can be observed that the two blocks are connected by a massless string that passes over a massless pulley. 1 has a mass of 2.25 kg and is on an incline of angle 1=42.5∘ that has a coefficient of kinetic friction 1=0.205. 2 has a mass of 5.55 kg and is on an incline of angle 2=33.5∘ that has a coefficient of kinetic friction 2=0.105.Now let's derive the equation for acceleration, a2.

A key concept that must be understood to solve the problem is the difference in tension on either side of the string. Since the pulley is massless and frictionless, the tension must be the same on both sides. We can derive this concept using the following equations:Tension on block 1 side:T1 = m1(g)sin(1) - m1(g)cos(1) * f1Tension on block 2 side:T2 = m2(g)sin(2) + m2(g)cos(2) * f2Where g is acceleration due to gravity, which is equal to 9.8 m/s².Then:T1 = T2T1 + m1(g)cos(1) * f1 = m2(g)sin(2) + m2(g)cos(2) * f2Substitute the values into the above equation:2.25(9.8)cos(42.5) * 0.205 + 2.25(9.8)sin(42.5) = 5.55(9.8)sin(33.5) + 5.55(9.8)cos(33.5) * 0.105T2 = 25.836 N (correct to 3 significant figures)Now we can find the acceleration of block 2.

The acceleration of block 1 can be determined using the following equation:a1 = g(sin(1) - f1 cos(1))a1 = 9.8(sin(42.5) - 0.205cos(42.5))a1 = 5.748 m/s² (correct to 3 significant figures)Using the equation for acceleration of block 2:a2 = (T1 - T2) / m2a2 = (25.836 - 0) / 5.55a2 = 4.667 m/s² (correct to 3 significant figures).

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The total mass of water vapor in the air in the apartment can be calculated using the formula for absolute humidity. The total mass is approximately 5.04 kg.

To calculate the total mass of water vapor in the air, we need to determine the volume of the apartment and then use the formula for absolute humidity.

Calculate the volume of the apartment: The volume of the apartment can be calculated by multiplying its dimensions: Volume = length x width x height = 18 m x 9 m x 6 m = 972 cubic meters.

Determine the vapor pressure: The relative humidity of 59 percent indicates that the air is holding 59 percent of the maximum amount of water vapor it can hold at the given temperature.

Find the saturation vapor pressure: The saturation vapor pressure is the maximum pressure of water vapor that air can hold at a given temperature. At 25°C, the saturation vapor pressure is approximately 3.17 kPa.

Calculate the actual vapor pressure: The actual vapor pressure can be calculated by multiplying the saturation vapor pressure by the relative humidity: Actual vapor pressure = Relative humidity x Saturation vapor pressure = 0.59 x 3.17 kPa = 1.867 kPa.

Calculate the mass of water vapour: The mass of water vapor can be determined using the formula for absolute humidity: Mass = Absolute humidity x Volume = (Actual vapor pressure / (0.287 kJ/(kg·K) x Temperature)) x Volume. In this case, the temperature is 25°C, which is 298 K.

Mass = (1.867 kPa / (0.287 kJ/(kg·K) x 298 K)) x 972 m^3 = 5.04 kg.

Therefore, the total mass of water vapor in the air in the apartment is approximately 5.04 kg.

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If the dog walked at a constant speed the whole way, the graph of the dog's position versus time would be a straight line. This is because the dog's velocity (which is the derivative of position with respect to time) would be constant, and the acceleration (which is the derivative of velocity with respect to time) would be zero.

A straight line on a position-time graph indicates that the object is moving at a constant velocity. The slope of the line would be equal to the velocity of the dog.

If the graph is a horizontal line, it would indicate that the dog is at rest. If the line slopes upward, the dog is moving in the positive direction (for example, to the right in a position-time graph), and if the line slopes downward, the dog is moving in the negative direction.

In all, A constant speed means a constant velocity and the line is a straight line with a particular slope.

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Answer:

Disease are caused by micro organisms

All objects in the universe are attracted to one another

species evolved through natural selection

The scientific facts from the given list are,

Microorganisms that are too tiny to be seen with the bare eye are the primary cause of many illnesses.

The force of gravity draws all objects in the cosmos toward one another.

Natural selection is the process through which species change.

Science is the methodical, empirically-based pursuit and application of knowledge and understanding of the natural and social worlds.

Microorganisms that are too tiny to be seen with the bare eye are the primary cause of many illnesses.

The force of gravity draws all objects in the cosmos toward one another.

Natural selection is the process through which species change.

Therefore options A, B, and C are scientific facts.

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Answer:

\(V_{a/c} = V_{a/b} + V_{b/c}\)

Explanation:

The relative velocity of an object is the velocity of the object relative to the observer or frame of reference.

The velocity of particle "A" with respect to particle "B" is written as \(V_{A/B} = V_{A} - V_{B}\)

From the given options, the second option is the correct answer.

\(V_{a/c} = V_{a/b} + V_{b/c}\\\\Re-arrange \ the \ above \ equation;\\\\V_{a/c} - V_{b/c}= V_{a/b}\\\\or\\\\V_{a/b}= V_{a/c} - V_{b/c}\)

One notable athlete who has been associated with the use of performance-enhancing drugs (PEDs) is the American professional cyclist Lance Armstrong.

Armstrong gained worldwide recognition for his unprecedented seven consecutive victories in the Tour de France from 1999 to 2005. However, his remarkable achievements were tarnished when it was revealed that he had engaged in systematic doping throughout his career.

In 2012, after years of denial, Armstrong finally admitted to using banned substances, including erythropoietin (EPO), testosterone, corticosteroids, and blood transfusions, to enhance his performance. These substances boosted his endurance and oxygen-carrying capacity, providing him with an unfair advantage over his competitors. Armstrong's confession came after substantial evidence, including testimonies from teammates and extensive investigations, exposed his involvement in one of the most elaborate and sophisticated doping schemes in sports history.

Following his admission, Armstrong was stripped of his Tour de France titles and received a lifetime ban from professional cycling. The revelations surrounding his drug use had a profound impact on the sport, shaking its credibility and raising concerns about the prevalence of doping in cycling.

Armstrong's story serves as a cautionary tale, highlighting the ethical and moral dilemmas associated with doping in sports. His case underscores the importance of maintaining the integrity of athletic competition, the significance of stringent anti-doping measures, and the need for education and awareness regarding the risks and consequences of performance-enhancing substances.

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ANSWER:

Both objects will hit the ground at the same time

STEP-BY-STEP EXPLANATION:

By newton's laws of motion:

Here, we only force acting is gravitational force (Ignoring air resistance).

Therefore:

The acceleration acting on both bodies will be equal to 9.8 m/s^2 and is independent of mass. Since both objects start from the same initial conditions and acceleration is same, they will hit the ground at the same time.

Answer:

0.75 grams

Explanation:

Today we have 6 grams

In 30 years, 3 grams remain

In 60 years 1.5 grams remain

in 90 years 0.75 grams remain

mathematically It would look like this

m = 6(0.5⁽ⁿ/³⁰⁾) where n is number of years

Answer: pretty far actually

Explanation:

Answer:

3feet

Explanation:

Answer:

the SI unit (meter per second square) indicates a linear type of motion.

Explanation:

Given;

acceleration of the car, a = 5.2 m/s² North

the SI unit of the car, = m/s²

The SI unit of the given value (acceleration), indicates a linear type of motion.

Linear acceleration is the change in linear velocity with time. Also, the northwards direction indicates linear displacement of the car.

Therefore, the SI unit (meter per second square) indicates a linear type of motion.

Answer:

displacement

Explanation:

Answer:

C) Increasing the mass and decreasing the distance

Explanation:

Since the equation for gravitational force is Fg = (Gm₁m₂)/r² where m₁ and m₂ are the masses of the objects and r is the distance between them, increasing the masses and decreasing the distance will produce a larger Fg.

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The equivalent resistance of the circuit shown  is 23 ohms.

Option A is correct.

Resistance is  described as the opposition that a substance offers to the flow of electric current.

In a series circuit, all components are connected end-to-end to form a single path for current flow.

In a parallel circuit, all components are connected across each other with exactly two electrically common nodes with the same volt.

We then 1/R = 1/100 + 1/100 + 1 /(50+ 50) +  1 /(50+ 50)

I/R = 0.04

R = 25 ohms.

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Answer:

- 0.33 m/s

Explanation:

An illustration is shown above,

In this case, since the two objects move in opposite directions before collision, then move together, the formula to be used is,

m1u1 - m2u2 = (m1 + m2)v

Where,

m1 = mass of the first object

u1 = initial velocity of the first object

v1 = final velocity of the first object

m2 = mass of the second object

u2 = initial velocity of the second object

v2 = final velocity of the second object

Therefore,

(4.0 • 3.0) - (8.0 • 2.0) = (4.0 + 8.0)v

12 - 16 = 12v

-4 = 12v

Divide both sides by 12,

-4 / 12 = 12v / 12

-1 / 3 = v

v = -0.33 m/s

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The average speed of the elderly woman walking around the shopping center is 1.80 km/h.

To calculate the average speed of the elderly woman, we can use the formula for velocity, which is equal to the distance traveled divided by the time taken. In this case, the distance traveled is 0.30 km and the time taken is 10 minutes. However, average speed is generally expressed in units of distance per unit of time, so we need to convert minutes to hours.

There are 60 minutes in one hour, so 10 minutes is equal to 10/60 = 1/6 hours.

Now we can calculate the average speed by dividing the distance traveled (0.30 km) by the time taken (1/6 hours):

Average speed = 0.30 km / (1/6 h)

= 0.30 km * (6/1 h)

= 1.80 km/h

Therefore, the average speed of the elderly woman walking around the shopping center is 1.80 km/h.

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Answer:

The peak value of the Magnetic field is 6.67 x 10⁻⁸ T

Explanation:

Given;

peak value of the electric-field, E₀ = 20 V/m

The peak of the magnetic field, B₀ = ?

The peak value of the magnetic field is given by;

B₀ = E₀/C

Where;

C is the speed of light = 3 x 10⁸ m/s

Substitute the givens and solve for B₀

B₀ = E₀ / C

B₀ = (20) / (3 x 10⁸)

B₀ = 6.67 x 10⁻⁸ T

Therefore, the peak value of the Magnetic field is 6.67 x 10⁻⁸ T

B₀ =

The mass of Jupiter in solar mass units with the help of Kepler's Third Law is found to be 0.000935 Solar mass Unit.

According to the Kepler's Third law, "the squares of the orbital periods of the planets are directly proportional to the cubes of the semi-major axes of their orbits".

Mathematically, p² = a³M

where, p= years

           a= AU

           M= Solar Masses

In the given question,

p= 16.7 days = 0.0457 years

a= 1.88 x 10⁶ km = 0.0125 AU

M= a³/p²=(0.0125 AU)³/(0.0457)²

M= 0.000935 Solar mass Unit

M= 1.87 x 10²⁷ kg

Hence, the mass of Jupiter in solar mass units is found to be 0.000935 Solar mass Unit.

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