An object has a kinetic energy of 249 J and a momentum of magnitude 24.6 kg · m/s.(a) Find the speed of the object.

Answer:

t = 2.2 [days] and is there is a round trip, it will be double time t = 4.4 [days]

Explanation:

First, we need to arrange the problem to work in the same unit system (SI).

We need to convert the 1800 [miles] to meters, therefore:

[tex]1800[miles] * \frac{1609.34[m]}{1[mile]} }=2896812[m] = 2896.8[km][/tex]

Now using the following equation of kinematics, for the avarage velocity  we have:

[tex]v=\frac{x}{t} \\where \\v=velocity [m/s]\\t = time [s]\\x=distance traveled [m]\\[/tex]

therefore:

[tex]t=\frac{x}{v} \\t=\frac{2896812}{15}\\ t=193120.8[s][/tex]

Now we can convert from seconds into days.

[tex]193120.8[s]*\frac{1[hr]}{3600[s]}*\frac{1[day]}{24[hr]}\\  t = 2.2[days][/tex]

Now if the truck has the need to come back, the team will spend double time.

t= 4.4 [days]

It would take approximately [tex]4.47[/tex] days to drive a truck from California to Lansing and back, considering an average speed of [tex]15 m/s[/tex]. This speed converts to [tex]33.55 mph[/tex], and the total round trip distance is 3600 miles.

Calculating the Duration of the Trip

To determine how many days it takes a team of drivers to drive a truck from California to Lansing and back, we need to follow these steps:

Given the average speed is [tex]15 m/s[/tex] , we convert it as follows:[tex]15 \, \text{m/s} = 15 \times 2.23694 = 33.55 \, \text{mph}[/tex]   (since [tex]1 m/s = 2.23694 mph[/tex]).

Time is distance divided by speed . Hence,

[tex]\text{time} = \frac{3600 \, \text{miles}}{33.55 \, \text{mph}} \approx 107.3 \, \text{hours}[/tex]

Since there are 24 hours in a day, the time in days is [tex]\frac{107.3 \, \text{hours}}{24} \approx 4.47 \, \text{days}[/tex]

Therefore, it would take approximately [tex]4.47[/tex]days for the team of drivers to drive a truck from California to Lansing and back.

Answer:

The work done against friction is the work done on an object that overcomes this frictional force allowing the object to move - it doesn't include any extra work used to accelerate an object for example - only the work used to beat the frictional force.

Explanation:

Answer: Commercialism

Explanation: Because one organism is benefited and one stay neutral

Answer:

The third piece moves at 6.36 m/s at an angle of 65° below the horizon

Explanation:

Linear Momentum

It's a physical magnitude that measures the product of the velocity by the mass of a moving object. In a system where no external forces are acting, the total momentum remains unchanged regardless of the interactions between the objects in the system.

If the velocity of an object of mass m is [tex]\vec v[/tex], the linear momentum is computed by

[tex]\displaystyle \vec{P}=m.\vec{v}[/tex]

a)

The momentum of the board before the explosion is

[tex]\displaystyle \vec{P}_{t1}=m_t\ \vec{v}_o[/tex]

Since the board was initially at rest

[tex]\displaystyle \vec{P}_{t1}=<0,0>[/tex]

After the explosion, 3 pieces are propelled in different directions and velocities, and the total momentum is

[tex]\displaystyle \vec{P}_{t2}=m_1\ \vec{v}_1\ +\ m_2\ \vec{v}_2+m_3\ \vec{v}_3[/tex]

The first piece of 2 kg moves at 10 m/s in a 60° direction

[tex]\displaystyle \vec{v}_1=(10\ m/s,60^o)[/tex]

We find the components of that velocity

[tex]\displaystyle \vec{v}_1=<10\ cos60^o,10\ sin60^o>[/tex]

[tex]\displaystyle \vec{v}_1=<5,5\sqrt{3}>m/s[/tex]

The second piece of 1.2 kg goes at 15 m/s in a 180° direction

[tex]\displaystyle \vec{v}_2=(15,180^o)[/tex]

Its components are computed

[tex]\displaystyle \vec{v}_2=(15\ cos180^o,15\ sin180^o)[/tex]

[tex]\displaystyle \vec{v}_2=(-15,0)\ m/s[/tex]

The total momentum becomes

[tex]\displaystyle P_{t2}=2<5,5\sqrt{3}>+1.2<-15,0>+m_3\ \vec{v}_3[/tex]

Operating

[tex]\displaystyle P_{t2}=<10,10\sqrt{3}>+<-18,0>+m_3\ \vec{v}_3[/tex]

Knowing the total momentum equals the initial momentum

[tex]\displaystyle P_{t2}=<-8,10\sqrt{3}>+m_3\ \vec{v}_3=0[/tex]

Rearranging

[tex]\displaystyle m_3\ \vec{v}_3=<8,-10\sqrt{3}>[/tex]

Calculating

[tex]\displaystyle m_3\ \vec{v}_3=<8,-17.32>[/tex]

This is the momentum of the third piece

b)

From the above equation, we solve for [tex]\vec v_3[/tex]:

[tex]\displaystyle \vec{v}_3=\frac{1}{3}<8,-17.32>[/tex]

[tex]\displaystyle \vec{v}_3=<2.67,-5.77>m/s[/tex]

The magnitude of the velocity is

[tex]\displaystyle \vec{v}_3|=\sqrt{2.67^2+(-5.77)^2}=6.36[/tex]

And the angle is

[tex]\displaystyle tan\theta =\frac{-5.77}{2.67}=-2.161[/tex]

[tex]\displaystyle \theta =-65.17^o[/tex]

The third piece moves at 6.36 m/s at an angle of 65° below the horizon

Answer:

It takes  [tex] 2.43\times 10^2[/tex]  for the radio signal to travel from earth to the spaceship.

Explanation:

Given:

The frequency of the radio signal =  [tex]2.00 \times 10^6[/tex] hertz

Distance =[tex]7.30\times 10^10[/tex] meters

To Find:

The time taken for the radio signal to travel from the earth to the spaceship= ?

Solution:

we know that the time taken can be found by dividing the distance travelled by the speed at which the signal travels

So

[tex]Time = \frac{Distance}{Speed}[/tex]

Here the speed of the radio signal is equal the the speed of light

Now substituting the values,

Time taken is

=>[tex]Time = \frac{7.30\times 10^10}{3 \times 10^8}[/tex]

=>[tex]Time = 2.43\times 10^{10-8}[/tex]

=>[tex]Time = 2.43\times 10^2[/tex]

The time taken for the 2×10⁶ Hz radio signal to get to the spaceship from Earth is 243.33 s

Speed is the distance travelled per unit. Mathematically, it can be expressed as:

Speed = distance / time

speed = distance / time

3×10⁸ = 7.3×10¹⁰ / time

Cross multiply

3×10⁸ × time = 7.3×10¹⁰

Divide both sides by 3×10⁸

Time = 7.3×10¹⁰ / 3×10⁸

Time = 243.33 s

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Answer: A.

Explanation: Roughly 180 - 200 million years ago, just before the first dinosaurs evolved. Mammals themselves evolved from a group or reptiles which exhibited mammal-like traits. One of them was specialized teeth. Reptiles tend to have teeth all the same shape. The mammal-like reptiles evolved tiny teeth in front of the jaw and two pairs of over sized fangs along the the sides. Like modern mammals, the head was large in proportion to the rest of the body. The jaws were also evolving another mammal trait, the ability to move sideways. Despite the lack of specialized teeth, acute hearing and the ability to chew, the dinosaurs evolved an adaptation which made them far more successful than mammals--modified leg bones. These limbs could be articulated directly under their bodies. This enabled the legs to support more weight, since the limbs were now under the body instead of at the sides. Then dinosaurs did something which secured their dominance for the next 120 million years - they began to stand on two legs. Although the back was still parallel to the ground, running on two legs greatly increased the dinosaur's speed. Mammals could simply not compete with swift, giant predators and were forced to remain small, and most became nocturnal to evade dinosaurs which were probably active during the day. Despite that they managed to survive which allowed the further evolution of mammals into us, humans.

In the Cenozoic period only mammals were alive. All dinosaurs had gone extinct leaving animals such as cave lions, woolly mammoths, and cave bears. Considering that Dinosaurs had gone extinct roughly 66 million years ago in the Cretaceous era and the Cenozoic era was 66 million years ago, the beginning of the Cenozoic era started with the extinction of dinosaurs.

Answer: D

The half-life of a substance describes the time in which it takes for half of the radioactive isotope to decay into another form. In your question, it says that the half life of radon-222 is 3.82 days; in a 100g sample of radon, 3.82 days pass and 50g of that isotope is left.

7.64 days is the equivalent to two half lives (7.64/3.82), so only half of half of 100%, or 25%, of the isotope would remain. The answer is D

Hope that helps

Answer:

An electric generator is a device that converts mechanical energy obtained from an external source into electrical energy as the output. ... Instead, it uses the mechanical energy supplied to it to force the movement of electric charges present in the wire of its windings through an external electric circuit.

Explanation:

Answer:

The difference in electrical potential is the difference of electrons from one site with respect to another, when this occurs those of the site where there is more they move to the site where there is less. This is what is known as electric current. The difference of electrons from one site to another is measured in Volts, the more volts the more difference there is in the amount of electrons from one site to the other and therefore more electrons will run to there as soon as they can.

The upper vessel has a potential (in this case gravitational) and the one below another. If the two are joined with a pipe, a stream of water starts from one to another container. This happens, for example, with any electric (electric-generated) battery, by joining the two (+) and (-) poles as they are at different electric potential an electric current (of electrons) starts between them.

An electric generator maintains a difference in electrical charges between two points, called poles, terminals or terminals, so this electrical energy can be converted into other forms of energy.

According to the kinetic molecular theory, the pressure of a gas in a container will increase if the number of collisions with the container wall increases.

Explanation:

Keeping the volume of the vessel constant, if we increase the amount of gas in it; the pressure will increase. This is because when the number of gas particles increases in that limited volume, they hit the walls of the container with more energy and hence, the overall pressure of the gas increases.

If we decrease the amount of gas in the vessel or increase the volume for the same amount of gas, the pressure decreases. As the pressure inside the vessel depends upon the gas supplied in the container.

Answer:

Explanation: light has been described as a particle and a wave

Answer:

5 moles of O2are required, you can see it in your equation.

Answer:

5 moles of O2are required, you can see it in your equation.

Explanation:

Eustress can act as a positive force that helps reach one's goals by fostering optimal performance and well-being. It is different from distress, which has negative effects on health and productivity.

The option that can help reach your goals is A) eustress. Eustress is a type of stress that acts as a positive, motivating force. It is associated with feelings of optimism, optimal health, and peak performance levels. When managed well, this kind of stress can enhance well-being and productivity, as is the case with athletes experiencing pregame stress or students experiencing stress before a major exam that may lead to improved memory recall. Contrarily, too much stress, known as distress, can have the opposite effect, highlighting the importance of maintaining stress at an optimal level for positive outcomes.

The maximum efficiency is 10%

Explanation:

The maximum efficiency of a machine is given by:

[tex]\eta=1-\frac{T_C}{T_H}[/tex]

where

[tex]T_H[/tex] is the temperature of the hot reservoir

[tex]T_C[/tex] is the temperature of the cold reservoir

For the machine in this problem, we have:

[tex]T_H=400K[/tex] is the temperature of the hot reservoir

[tex]T_C=360K[/tex] is the temperature of the cold reservoir

substituting, we find the max efficiency:

[tex]\eta=1-\frac{360}{400}=0.1[/tex]

So, the efficiency is 0.10 (10%).

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Answer:

10.0%

Explanation:

The amount of energy needed to melt the ice is 1670 J

Explanation:

The amount of thermal energy needed to completely melt a certain amount of solid substance (already at melting point) is given by

[tex]Q=m\lambda_f[/tex]

where

m is the amount of the substance

[tex]\lambda_f[/tex] is the specific latent heat of fusion of the substance

Here, the mass of the ice is

m = 5 g = 0.005 kg

And the specific latent heat of fusion of ice is

[tex]\lambda_f = 334,000 J/kg[/tex]

Assuming that the ice is already at melting point, the thermal energy needed to melt the ice is

[tex]Q=(0.005)(334,000)=1670 J[/tex]

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To melt 5 grams of ice, 1670 J or 1.67 kJ of energy is required. This calculation is based on the specific latent heat of melting for water, which is 334000 J/kg.

To calculate the energy required to melt ice, the specific latent heat of melting for water is required. For water, the specific latent heat of fusion (melting) is 334000 J/kg. To find the energy needed to melt 5 grams of ice, this value needs to be used in the formula:

Q = mLf

where Q is the energy in joules, m is the mass of the substance in kilograms, and Lf is the latent heat of fusion in joules per kilogram. First, convert the mass of ice from grams to kilograms:

5 g = 0.005 kg

Next, apply the values to the formula:

Q = (0.005 kg)(334000 J/kg) = 1670 J or 1.67 kJ.

This is the amount of energy needed to melt 5 grams of ice at 0°C.

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Answer:

Option A

[tex]5 m/s^{2}[/tex]

Explanation:

From fundamental equation of motion

[tex]v^{2}=u^{2}+2as[/tex] where v is the final velocity, u is the initial velocity, a is the acceleration of the body and s is the displacement.

Since the initial velocity is zero

[tex]v^{2}=2as[/tex]

Making acceleration, a the subject of the formula then

[tex]a=\frac {v^{2}}{2s}[/tex]

Substituting 5 m/s for v and 2.5 m for s then

[tex]a=\frac {5^{2}}{2\times 2.5}=5 m/s^{2}[/tex]

The power expended is 500 W

Explanation:

First of all, we start by calculating the work done by the man in order to ascend: this is equal to the gravitational potential energy gained by the man, which is

[tex]W=mg\Delta h[/tex]

where

m = 50 kg is the mass of the man

[tex]g=10 m/s^2[/tex] is the acceleration of gravity

[tex]\Delta h = 5 m[/tex] is the change in height

Substituting,

[tex]W=(50)(10)(5)=2500 J[/tex]

Now we can calculate the power expended, which is given by

[tex]P=\frac{W}{t}[/tex]

where

W = 2500 J is the work done

t = 5 s is the time elapsed

Substituting, we find

[tex]P=\frac{2500}{5}=500 W[/tex]

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Answer:

we have formula of frequency :

frequency(f)= speed of sound(c)/wavelength(λ)

for wavelength we swipe it with frequency as follows

λ=c/f

λ=300,000,000/101,700,000

λ=2.949

Answer:

light travels faster than sound

Answer:c is the answer every 2 hours A is just plain no B four hours is too long and D is a no you need to rest

Explanation:

Answer:

C

Explanation:

Answer:

The color corresponds to the electromagnetic spectrum of light waves.

Explanation:

The group electromagnetic waves are called the electromagnetic spectrum. They have been arranged according to the frequency as well as the wavelength. Further these have been grouped in sections like radio waves, microwaves, infrared waves, ultraviolet rays, X- rays and gamma rays. The graph formed are in form of radiant colors. Every color has some specific response pattern. The shortest wave is the violet color where the longest one is red. Being the shortest wave have the highest energy for all the visible light spectrum. The energy is high as well as the frequency and vibration are shortest. The energy of red is least.

Answer:

What is Newton's Disc?

This is a type of disc that is divided into the rainbow colors (red, orange,yellow, green, blue, indigo and violet).

How does it show that light is composed of many colours?

When the Newton disc is spun, it produces a white light. This means that light is made up of rainbow colors.

Explanation:

Newton's disc is commonly used in experiments. This is an idea introduced to us by Isaac Newton, an influential scientist who greatly contributed to science. The disc is described as a color wheel, in which the different rainbow colors are shown. Once you spin the wheel, you'd be able to see the different colors blending in. It turns into one color and that is "white."

Catalyst

To answer the following question we need to ask ourselves the following questions;

What is a catalyst?

How does it perform its function?

Do catalysts undergo any change after the reaction?

Answer:

C

Explanation:

Because...

A= Incideant ray

B= Angle of inciderance

C= angle of reflection

D= reflection ray

Answer:

B

Explanation:

Answer:

52 mm/s (approximately)

Explanation:

Given:

Initial speed of the projectile is, [tex]u=60.0\ mm/s[/tex]

Angle of projection is, [tex]\theta=30.0\°[/tex]

Time taken to land on the hill is, [tex]t=4\ s[/tex]

In a projectile motion, there is acceleration only in the vertical direction which is equal to acceleration due to gravity acting vertically downward. There is no acceleration in the horizontal direction.

So, the velocity in the horizontal direction always remains the same.

The horizontal component of initial velocity is given as:

[tex]u_x=u\cos\theta\\u_x=60\times \cos(30)\\u_x=30\sqrt3\approx52\ mm/s[/tex]

Now, the velocity in the vertical direction goes on decreasing and becomes 0 at the highest point of the trajectory. So, at the highest point, only horizontal component acts.

Therefore, the projectile's velocity at the highest point of its trajectory is equal to the horizontal component of initial velocity and thus is equal to 52 mm/s.

-- H₂O is a single molecule of water.  It's made of two Hydrogen atoms and one Oxygen atom.

-- 2 H₂O is two molecules of water.  Between them, they have a total of four Hydrogen atoms and two Oxygen atoms. (C)

The number of hydrogen atoms in 2H₂O  is 4 atoms.

The compound is water . And the water can be interpreted as 2 molecules of water.

H₂O → Water

2H₂O →  2 molecules of water.

The number of hydrogen atoms in 2 molecules of water is the individual number of hydrogen atoms in the compound.

Therefore, the number of hydrogen atom in the compounds is as follows:

2H₂O → 2 × 2 = 4 atoms of hydrogen.

The number of hydrogen atom is 4.

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The correct option would be C. light.

All the rest are talking about darkness whilst this one is the opposite.

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Final answer:

The word 'light' does not fit with 'darkness', 'absence of light', and 'night', as it represents illumination, while the other terms are associated with the absence of light.

Explanation:

Among the listed options, C) light does not fit with the others. The words 'darkness', 'absence of light', and 'night' all relate to scenarios with limited or no light, whereas 'light' itself represents the presence of illumination. Common associations with darkness include the concept of dark energy being a form of energy that is invisible, and dark matter referring to matter in the universe that does not emit light or radiation, hence is not directly observable.

In literature, darkness often symbolizes the unknown, fear, or the presence of evil, while light typically symbolizes clarity, purity, and goodness. The poetic excerpt mentioning the transformation of 'Darkness become a light-possessing darkness' metaphorically depicts the emergence of light from within the darkness, highlighting the powerful connotations of light in literature.

Answer:

Distance covered by Neva = 300 m

Displacement of Neva = 0 m

Explanation:

Given:

Length of the pool = 50 meter

Number of laps Neva swam = 3

1 lap is to swim to the other side and back.

To find the distance and displacement.

Solution:

To calculate the distance swum by Neva we will find the total length covered by Neva in 3 laps.

1 lap is 50 meters to the other side and 50 meters back

So, the length of 1 lap = [tex]50\ m+50\ m=100\ m[/tex]

Total length of 3 laps = [tex]3\times 100\ m = 300\ m[/tex]

To calculate the displacement we will find the distance between initial position and final position.

We, see that on completing 3 laps Neva returns to her starting point. Thus the initial and final position are the same. Do, the distance between initial position and final position will be = 0 m

Distance covered by Neva = 300 m

Displacement of Neva = 0 m

The distance Neva swam is 300 meters, while her displacement is zero meters.

To determine the distance Neva swam:

              3 laps × 100 meters/lap = 300 meters.

Displacement refers to the change in position from the starting point.

Since Neva ends up at the same point where she started after swimming 3 laps, her displacement is zero meters.

Hence,

Answer:

Twice

Explanation:

Use constant acceleration equation:

x = x₀ + v₀ t + ½ at²

where x is the final position,

x₀ is the initial position,

v₀ is the initial velocity,

a is the acceleration,

and t is time.

The position of the car is:

x = (84) + (0) t + ½ (2) t²

x = 84 + t²

The position of the motorcycle is:

x = (0) + (20) t + ½ (0) t²

x = 20t

When the positions are equal:

84 + t² = 20t

t² − 20t + 84 = 0

(t − 6) (t − 14) = 0

t = 6 or 14

The vehicles meet twice, once after 6 seconds, and once after 14 seconds.

Answer:

I want to say your answer is A) an ocean wave approaching the shore at an angle. But not 100% sure. I'm so sorry if it's wrong I really tried to figure it out.

Explanation:

Refraction of waves involves a change in the direction of waves as they pass from one medium to another. Refaction , or the bending of the path of the waves, is accompanied by a change in speed and wavelength of the waves. Thus, if water waves are passing from deep water into shallow water, they will slow down. ( This is what I read on google maybe it'll help you out).

Answer:

an ocean wave approaching the shore at an angle