find the half-life of a radioactive element, which decays according to the function a(t)= a0e ^ -0.0305t where t is the time in years.

Answer:

there is no image

Explanation:

Explanation:

This is the formula for the change in distance (δx) of an object moving with constant acceleration (a) and initial velocity (v), one of the standard Equations of motion. To solve for t first rearrange

12at2+vt−δx=0

then apply the formula for solving a Quadratic equation if our equation is At2+Bt+C=0 then the solution is

t=−B±B2−4AC√2A,

here A=12a, B=v, C=−δx so plugging these in the formula gives

t=−v±✓v2−4(12a)(−δx)√2(12a) (Apply quandriatic equation)

simplifying

t=−v±v2+2aδx√a.

Note how there are two possible solutions one corresponding to the + and one to the -. Sometimes one of these will give a negative time, so you may want to eliminate that. Indeed if δx>0, v>0 and a>0 we only want the positive solution. In other cases you may want to consider both solutions, for instance if we thow a ball up in the air the initial velocity is positive and the acceleration is negative, it will pass a fixed height above your head twice, once on the way up and once on the way down.

The minimum coefficient of friction required for a circular off-ramp with a radius of 57.0 m and a posted speed limit of 50.0 km/h is 0.34.

To calculate the coefficient of friction, we can use the following equation:

Coefficient of Friction = (v²/ r*g)
where v is the speed (in m/s) and r is the radius (in m) and g is the acceleration due to gravity.

For this example, v = 50.0 km/h, which is equal to 13.88 m/s, and r = 57.0 m. Therefore, the coefficient of friction (μ) can be calculated as follows:

μ = [(13.88)² / (57.0 x 9.8)] = 0.34

Therefore, the minimum coefficient of friction required is 0.34.

It is important to note that the coefficient of friction required for a circular off-ramp is dependent on the posted speed limit and the radius of the off-ramp. A lower posted speed limit or a larger radius will result in a lower coefficient of friction, while a higher posted speed limit or a smaller radius will result in a higher coefficient of friction.

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1. Which example best describes a restoring force?

B) the force applied to restore a spring to its original length

2. A spring is compressed, resulting in its displacement to the right. What happens to the spring when it is released?

C) The spring exerts a restoring force to the left and returns to its equilibrium position.

3. A 2-N force is applied to a spring, and there is displacement of 0.4 m. How much would the spring be displaced if a 5-N force was applied?

D) 1 m

4. Hooke’s law is described mathematically using the formula Fsp=−kx. Which statement is correct about the spring force, Fsp?

D)It is a vector quantity.

5. What happens to the displacement vector when the spring constant has a higher value and the applied force remains constant?

A) It decreases in magnatude.

Answer:

Speed of stunt bike rider = 13 meter/ Second

Explanation:

Given:

Distance cover by stunt bike rider = 39 meter

Time taken by stunt bike rider = 3 seconds

Find:

Speed of stunt bike rider

Computation:

Speed = Distance / Time

Speed of stunt bike rider = Distance cover by stunt bike rider / Time taken by stunt bike rider

Speed of stunt bike rider = 39 / 3

Speed of stunt bike rider = 13 meter/ Second

Answer:

are used by geneticists to determine the probability of different offspring genotypes.

Answer: 267 m

Explanation:

2.99x10^8 m/s

———————-

1.12 x 10^6 Hz

Alpha particles have highest mass.

Alpha particles are most ionising.

Gamma particles are the most penetrating.

Beta particles are negatively charged.

Gamma particles have the highest speed.

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The scaled model of the Earth-Moon system with the Earth the size of a basketball and the Moon the size of an orange would require placing the objects approximately 30 feet apart to represent the relative distance between the Earth and Moon.

To determine the distance between the scaled model of the Earth and Moon, we need to consider the relative sizes of the objects and the actual distance between the Earth and Moon.

Let's assume that the diameter of a basketball is 1 foot and the diameter of an orange is 4 inches.

The actual average distance between the Earth and Moon is about 238,855 miles (384,400 kilometers).

To create a scaled model, we need to scale down the distance between the Earth and Moon to match the scaled sizes of the objects.

Using the ratio of the scaled sizes (1 foot for the basketball to 4 inches for the orange), we can set up the following proportion:

1 foot (scaled Earth) / 4 inches (scaled Moon) = x (scaled distance) / 238,855 miles (actual distance)

Simplifying the proportion, we find:

x = (1 foot / 4 inches) * 238,855 miles ≈ 59,713.75 feet ≈ 30 feet

Therefore, to create a scaled model of the Earth-Moon system with the Earth the size of a basketball and the Moon the size of an orange, you would need to place the two objects approximately 30 feet apart.

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Answer:

I just did this problem so I promise you my answer is correct the total momentum of the system is 1717.

Explanation:

What you do is find the momentum of the first object which is simple enough 202(8.5) which equals 1717 and an object at rest will have no momentum which is shown when you have to plug in a 0 for velocity and multiply you get zero. Then to find the total you just add 1717+0 which obviously gives you 1717.

Answer:

1717

Explanation:

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Answer:

Explanation:

If the material carried by the solar wind reached a planet's surface, its radiation would do severe damage to all life that exists on earth.

Thankfully that won't happen because Earth's magnetic field serves as a shield, redirecting the material around the planet so that it streams beyond it.

HOPE THIS HELPED!!!

Answer:

Inside the film the wavelength will be λ/n

For constructive interference to occur the film must be λf/4 thick where λf is the wavelength of the light in the film - there will be a 180 degree phase shift at the water/film interface since the index of refraction of the film is greater than that of water - and the light has to travel λ/2 inside the film for constructive interference to occur

280 nm / 1.6 * 4 = 700 nm is the greatest wavelength allowed

Note that 700 nm is also the upper wavelength of the visible spectrum

The frequency heard by the passenger on the second train is approximately 319.75 Hz.

To calculate the frequency heard by a passenger on a train moving in the opposite direction to another train, we can use the concept of the Doppler effect. The Doppler effect describes the change in frequency of a wave (sound, in this case) when the source of the wave and the observer are in relative motion.

Let's break down the given information

Speed of sound in still air: v = 344 m/s

Speed of the first train: v₁ = 30.0 m/s

Frequency of the note emitted by the train whistle: f₁ = 277 Hz

Speed of the second train (moving in the opposite direction to the first): v₂ = 18.0 m/s

The formula for calculating the observed frequency (f₂) due to the Doppler effect when the observer and source are moving towards each other is

f₂ = (v + v₂) / (v - v₁) × f₁

where:

f₂ is the observed frequency

v is the speed of sound in air

v₂ is the speed of the observer (passenger on the second train)

v₁ is the speed of the source (first train)

f₁ is the frequency of the source (note emitted by the train whistle)

Plugging in the values into the formula, we can calculate the observed frequency:

f₂ = (v + v₂) / (v - v₁) × f₁

= (344 + 18.0) / (344 - 30.0) × 277

Simplifying this equation gives

f₂ = 362 / 314 × 277

Calculating the numerical value

f₂ ≈ 319.75 Hz

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-- The given question is incomplete, the complete question is

"A railroad train is travelling at 30.0 m/s in still air. The frequency of the note emitted by the train whistle is 277 Hz . The speed of sound is 344 m/s. What frequency is heard by a passenger on a train moving in the opposite direction to the first at 18.0 m/s and approaching the first?"

Primates rely primarily on vision to negotiate their environment.

As highly adaptable mammals, primates possess a keen sense of sight which enables them to successfully interact with their surroundings. This exceptional visual acuity is mainly due to their well-developed eyes, which allow for excellent color discrimination, depth perception, and the ability to see in low-light conditions.

Primates possess forward-facing eyes, a feature that contributes to the enhancement of their depth perception. This is crucial for tree-dwelling species that must accurately judge distances when jumping between branches or reaching for food. Additionally, the majority of primates have trichromatic vision, meaning they can see and differentiate a wide range of colors. This ability helps them identify ripe fruits and detect potential predators or threats.

Furthermore, primates have a larger brain size in comparison to other mammals, which aids in the processing of visual information. The visual cortex, the part of the brain responsible for processing visual data, is particularly well-developed in primates, enabling them to efficiently interpret and respond to their environment.

In summary, primates rely primarily on vision to navigate and adapt to their surroundings. Their advanced visual capabilities, such as enhanced depth perception, color discrimination, and low-light vision, coupled with a well-developed visual cortex, allow them to successfully interact with their environment and thrive in a variety of habitats.

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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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Answer:

Her displacement is 0 miles and her distance is 5 miles.

Explanation:

Given information:

Sophie runs in an oval track. The length of track is 5 m.

Distance is the total length of path covered during motion while displacement is the shortest distance between initial and final position.

In this case, Sophie completes one cycle in the oval track and the track length is 5 m. So, the distance covered by her will be 5 m.

Now, after completing the track, the initial and final position of Sophie will be same and hence, the displacement she covered will be 0 miles.

Therefore, option "Her displacement is 0 mile and her distance is 5 miles" is correct.

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The displacement of Sophie is 0 and her distance is 5 m

The displacement of Sophie is the change in her position.

If she runs in an oval track, she will return to her initial starting position. The initial position and the final position will be equal, the change in her displacement will be zero.

\(\Delta x = x_f- x_i\\\\\Delta x = 5 - 5 = 0\)

The distance traveled by Sophie is the sum of the total distance covered.

distance = 5 m

Thus, the displacement of Sophie is 0 and her distance is 5 m

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The American Apollo 11 landed the first man on the moon on July 20, 1969.

A lunar landing occurs when a spacecraft reaches the surface of the Moon. This includes manned and robotic missions. On September 13, 1959, the first man-made object to touch the Moon was the Soviet Luna 2. The American Apollo 11 landed the first man on the moon on July 20, 1969. There are six U crew members.

There were landings in the south between 1969 and 1972, as well as multiple bulk landings, with no soft landing between August 22, 1976 and December 14, 2013.

The United States is the only country to have successfully to land a man on the moon, the last time he left the lunar surface in December 1972. All soft landings occurred on the near side of the Moon until January 3, 2019, when the Chinese spacecraft Chang'e-4 has landed on the far side for the first time.

The following countries and entities have performed missions to the Moon (in chronological order): Soviet Union, United States, Japan, European Space Agency, China, India, Luxembourg, Israel, Italy, South Korea, and United Arab Emirates. Five spacecraft that did not specifically study the Moon also visited the Moon; four spacecraft flew over it for gravity assistance, and the Explorer 49 radio telescope was placed in a Moon-centered orbit to use the Moon to block ground-based radio sources.

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Explanation:

tan(theta)=(v^2)/(length of string × g)

=(1.4^2)/(0.84 × 9.8m/s )

=1.96/(8.232)

=0.2380952381

theta=arctan(0.2380952381)

=13.4°

The speed of an electron whose total energy is equal to the total energy of a proton that is at rest would be zero.

We can use the conservation of energy to solve this problem, where the total energy of the electron is equal to the total energy of the proton at rest. The total energy of a particle is given by the sum of its kinetic energy and rest energy (mass-energy), which is given by Einstein's famous equation, E=mc^2.

The rest energy of the electron and proton can be neglected compared to their kinetic energies, which are given by 1/2 mv^2, where m is the mass and v is the speed of the particle.

Since the total energy of the electron is equal to the total energy of the proton at rest, we can equate their kinetic energies:

1/2 me * ve^2 = 1/2 mp * 0^2

where me is the mass of the electron, mp is the mass of the proton, and ve is the speed of the electron.

Using the fact that the proton mass is about 1836 times the mass of the electron (mp/me = 1836), we can solve for the speed of the electron:

ve^2 = (mp/me) * 0^2 = 0

Therefore, ve = 0. The speed of the electron whose total energy is equal to the total energy of a proton at rest is zero, which means that the electron is not moving.

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An objects potential energy is due to its state of rest.

Define potential energy

Potential energy is a form of accumulated energy that is dependent on the relationship between different system components. When a spring is compressed or expanded, its potential energy increases. The potential energy of a steel ball is greater when it is raised above the earth than when it is brought to Earth.

Energy that is conserved or kept in a substance or object is known as potential energy. The position, arrangement, or condition of the item or substance determines the amount of stored energy. It can be pictured as energy with the "potential" to perform labor. Mechanical energy, electrical energy, chemical energy, radiant energy, nuclear energy, and heat energy are the six categories of potential energy.

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If the mixture is thermally isolated from its surroundings, then it, loses thermal energy to the environment outside as it comes to a final temperature. The correct answer is d.

When the sample of lead is placed in the water, heat will flow from the lead to the water until they reach a common final temperature. Since the final temperature will be less than the initial temperature of the lead, heat must have flowed out of the lead into the surroundings, causing the lead to lose thermal energy to the environment outside the system.

Since the mixture is thermally isolated from its surroundings, no thermal energy is exchanged between the system (lead and water) and the environment during the process. However, heat can still flow within the system itself until thermal equilibrium is reached. Option d is correct.

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Option B. The mechanical advantage of a handle on a water well that requires 5 newtons of force to lift a 40-Newton bucket of water is 8.

Mechanical advantage is a measure of the force amplification completed by means of the usage of a device, mechanical tool or gadget device. The device trades off input forces towards motion to gain a preferred amplification in the output pressure.

The version for this is the regulation of the lever. The mechanical advantage is the degree how which tons of force is increased with the aid of using a device or gadget. it is equal to the pressure exerted with the aid of the tool or system divided via the carried-out effort.

calculation:-

Mechanical advantage = load/effort

                                       = 40/5

                                       = 8

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Oops.

That's my bad then.

The dam is under a hydrostatic force of .2.99×10^9lbf

Near the top, the force per unit area is 86.74 psi.

Near the bottom, the force per unit area is zero.

The force of the fluid volume against a membrane is known as hydrostatic pressure.

The force that the water column on the dam applies to it is known as the hydrostatic force.

F = PA

F= (pgh) ×( wh)

=( 62.4×32.17×200) × (1200×200

F= 2.99×10^9lbf

Area of force per unit at the top

The pressure present close to the dam's top is the force per unit area.

P= pgh

P= 0.052×ph

where P represents pressure in PSI.

is the vertical height in feet, and h is the water density in lb/gal.

P= 8.34×0.052×200

P= 86.74Psi

Since the vertical height is zero, there is no pressure towards the bottom.

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Answer:

when we hit the volleyball. the ball goes up comes down

it comes down as it is forced by gravity

the force in which ball comes back is Newton 3 law

Answer:

you get struck by lightning

Explanation:

hide in ur house

Answer:

1200

Explanation:

a = 1.5 m/s2

F = 1800N

M =?

F = Ma

M = F/a = 1800/1.5 = 1200Kg

Let the angle between the polarizing axes of the two filters be

Let the intensity of polarized light coming out of the first polarizing filter be I1.

Then the intensity of the second polarizing filter will be

Thus, the correct option is B.

A.1.2°C

The First Law of Thermodynamics states that heat is a form of energy, and thermodynamic processes are therefore subject to the principle of conservation of energy.

To find internal energy, you have to add the heat added in the system and work done in the system because the work done is not lost but rather it is added in the system.

Step 1

a)let

to add the energy it must have the same measure unit, so let's convert calories into Julies

remember that

b) now, replace in the formula

now, we have the change of internal energy

Step 2

now, let's find the change in temperature

Use the calorimetry formula.

where m is the mass, Q = heat energy, c = specific heat capacity, and ∆T = change in temperature

a)

let

now,

so, the answer is

A.1.2°C

At constant temperature pressure is inversely proportional to volume, so pressure will increase.

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