There are ~ 1080 particles in the universe (depending on who you ask; I haven't counted). If each particle chooses a 150 digit prime, is it at all likely that two will pick the same prime? Explain why or why not. Note: Use the prime number theorem to estimate how many 150 digit primes there are.

Answer:

6

Explanation:

Answer:

6 m/s

Explanation:

Velocity = Distance/Time

              = 84 meters/14 seconds

              = 6 m/s

Hope this helps! :)

According to the second law of Newton, the acceleration is directly proportional to the net force acting on the object:

From this formula, we can also see that the acceleration is inversely proportional to the mass: For the same force, if the mass increases, the acceleration decreases.

Therefore the correct option is d.

Answer:

The center of mass is the point of an object where all the mass can be considered to be concentrated. ... If the objects center of gravity is above the area of support, the object will remain upright.

Answer:

Three states of matter exist—solid, liquid, and gas. Solids have a definite shape and volume. Liquids have a definite volume,

Explanation:

According to the information, the table is completed as follows: Do they have definite shape? no (vapor), no (water), yes (ice); Do they have definite volume? no (vapor), yes (water), yes (ice); Do they compress? yes (vapor), no (water), no (ice).

To fill the table to describe the characteristics of the states of matter we have to look for additional information of each state of matter and then complete the table. According to the information we can infer that the correct way to complete the table is:

Do they have definite shape? no (vapor), no (water), yes (ice); Do they have definite volume? no (vapor), yes (water), yes (ice); Do they compress? yes (vapor), no (water), no (ice).

Vapor | No | No | Yes

Water | No | Yes | No

Ice | Yes | Yes | No

Learn more about states of matter in: https://brainly.com/question/29069107

#SPJ1

Answer:

the answer is An Arrow

As Kyle caught the ball, it was moving horizontally at a speed of roughly 0.116 m/s.

Momentum, which is the outcome of an object's mass and velocity, is used to represent mass in motion. An impulse is a force that is used to alter an object's velocity. The impulse, J, and the change in momentum of an object, p=m(vfvi), are equivalent.

mgh = (90.0 kg)(9.81 m/s²)(0.589 m) = 520.6 J

Therefore, Kyle's velocity just as he catches the ball is:

√{1}{2}mv² = 520.6 J implies v = √{2(520.6 J)}{90.0 kg} approx 10.4 m/s

Now, we can use Kyle's velocity and the horizontal distance he traveled to find the time he was in the air. The time is given by:

Delta x = vt implies t = {Delta x}{v} = {0.0396 m}{10.4 m/s} approx 0.0038 s

h = {1}{2}gt² implies t = √{2h}{g} = √{2(0.589 m)}{9.81 m/s²} approx 0.341 s

During this time, the ball traveled a horizontal distance of:

Delta x = vt = (v_{x,ball})(t) implies v_{x,ball} = {Delta x}{t} = {0.0396 m}{0.341 s} approx 0.116 m/s

To know more about speed visit:-

https://brainly.com/question/28224010

#SPJ9

Answer:

Rutherford's gold foil experiment showed that the atom is mostly empty space with a tiny, dense, positively-charged nucleus. Based on these results, Rutherford proposed the nuclear model of the atom.

The amount of energy emitted by the light bulb is 600J.

Efficiency is the extent to which a resource is used for the intended purpose; the ratio of useful work to energy expended.

According to this question, a light bulb is 40% efficient. If it is supplied with 1000 joules of electrical energy, the amount of energy emitted can be calculated as follows:

40% of 1000J = 400J of energy used.

This means that 1000J - 400J = 600J of energy will be emitted.

Learn more about efficiency at: https://brainly.com/question/11752408

#SPJ1

Answer:

x≥0

Explanation:

Let's find the critical points of the inequality.

−2x3511.152+5x−11=10

−2x3511.152+5x−11+−5x=10+−5x(Add -5x to both sides)

−2x3511.152−11=−5x+10

−2x3511.152−11+11=−5x+10+11(Add 11 to both sides)

−2x3511.152=−5x+21

−2x3511.152

−2=−5x+21/−2

(Divide both sides by -2)

x3511.152=5/2x+−21/2

The slope of the velocity time graph of an object moving with constant acceleration is constant

It will take approximately 3 seconds for the center of mass of Object X to reach point J near the bottom of the incline

The reason why the above time value is correct is given as follows:

Known parameters:

Initial velocity of the objects, u = 0

The graph  in the question is a straight line graph with data points

(0, 0), (0.5, 1.0), (1.0, 2), (3.0, 6), and (3.5, 7)

Given that the slope of the velocity-time graph is constant, we have that the acceleration is constant and is given as follows;

\(a = \dfrac{\Delta v}{\Delta t } = \dfrac{v_2 - v_1}{t_2 - t_1}\)

Therefore;

\(a = \dfrac{6 - 2}{3.0 - 1.0} = 2\)

The acceleration, a ≈ 2 m/s²

The distance from the center of mass of the Object X to the point J near the bottom = 9 m

The equation for distance travelled is given as follows;

\(s = u\cdot t + \dfrac{1}{2} \cdot a \cdot t^2\)

Which gives;

\(9 = 0\times t + \dfrac{1}{2} \times 2 \times t^2 = t^2\)

t = √9 = 3

The time it will take the center of mass of Object X to reach point J near the bottom of the incline is t = 3 seconds

Learn more about motion under constant acceleration here:

https://brainly.com/question/16391598

The rock will be 12 meters from the ground level after it has been thrown upward with a velocity of 12 meters per second from the top of the 42 meter high cliff for a total of 3.5 seconds.

The cliff is the height that generally has the highest height and it can be mountains, stones, buildings.

This is because the total time taken for the rock to fall back down will be the same as the total time taken for the rock to reach the top of the cliff. The equation used to calculate this is: time = distance / velocity. Therefore:

Time = 42 meters (cliff height) / 12 meters per second (velocity) = 3.5 seconds.

So, the rock will be 12 meters from the ground level after 3.5 seconds.

Read more about cliff here:

https://brainly.com/question/22789028

#SPJ11

The equivalent resistance between points A and B in the diagram is 22 Ω

We shall begin by obtaining the equivalent resistance in parallel (i,e the three 6 Ω resistor). Details below:

1/Rₜ = 1/R₁ + 1/R₂ + 1/R₃

1/Rₜ = 1/6 + 1/6 + 1/6

1/Rₜ = 3/6

1/Rₜ = 1/2

Rₜ = 2 Ω

Finally, we shall determine the equivalent resistance between A and B (i.e series arrangement). Details below:

R = R₁ + R₂ + R₃ + R₄ + R₅ + R₆ + R₇ + R₈ + R₉ + R₁₀ + R₁₁

R = 2 + 2 + 2 + 2 + 2 + 2 + 2 + 2 + 2 + 2 + 2

R = 22Ω

Thus, we can conclude that the equivalent resistance is 22 Ω

Learn more about resistance:

https://brainly.com/question/13691672

#SPJ1

Answer:

Here's why this is correct

According to BrightHubEducation, Machines make work easier by changing the size of force, direction of force, or distance the force acts on. Lifting a car with a flat tire and loosening the lug nuts can be accomplished by a single person thanks to simple machines. The jack and lug wrench are simple machines that alter the force needed to change the tire.

Hope this helps!  <3

The minimum volume of the ice slab required for the woman to stand on it without getting her feet wet is 6.85 x 10⁻⁴ m³, or about 0.685 liters.

When an object is placed on a liquid surface, it experiences an upward buoyant force due to the displaced liquid.

For the woman to stand on the ice slab without getting her feet wet, the buoyant force on the slab must be greater than or equal to the weight of the woman.

The buoyant force on the ice slab is given by:

Buoyant force = Weight of displaced water

Since the ice slab floats in freshwater, the density of the displaced water is the same as the density of freshwater, which is 1000 kg/m³.

Let's assume that the volume of the ice slab is V and its density is ρ. The weight of the ice slab is then given by:

Weight of ice slab = Volume x Density x Gravity

where gravity is the acceleration due to gravity and is equal to 9.81 m/s².

Since the ice slab is in equilibrium, the buoyant force on it is equal to its weight. Therefore, we have:

Buoyant force = Weight of ice slab

or

Volume x Density of water x Gravity = Volume x Density of ice x Gravity + Weight of woman

where the weight of the woman is 55.0 kg x 9.81 m/s² = 539.55 N.

Simplifying the equation, we get:

Volume = Weight of woman / (Density of water - Density of ice)

Volume = 539.55 N / (1000 kg/m³ - 917 kg/m³)

Volume = 6.85 x 10⁻⁴ m³

To know more about buoyant force refer here

https://brainly.com/question/21990136#

#SPJ11

Answer:

Storm surge is the additional water, above the normal tidal ocean water, caused by the wind and low pressure of a hurricane. It is added to whatever the tide happens to be when the storm hits. If the storm hits at high tide then it’s X feet above the high tide. Tides fluctuates based upon the time of the year and the cycle of the moon.

Explanation:

Answer:

Storm surge is the additional water, above the normal tidal ocean water, caused by the wind and low pressure of a hurricane. It is added to whatever the tide happens to be when the storm hits. If the storm hits at high tide then it’s X feet above the high tide. Tides fluctuates based upon the time of the year and the cycle of the moon.

Explanation:

Answer:

sequence

Explanation:

sequences are the way in which things are ordered, for example: 1, 2, 3, 4 is a sequence:)

Answer:

To find the resultant velocity and direction of the boat, we need to use vector addition.

Let's consider the velocity of the boat as a vector in the east direction, with a magnitude of mph. We can represent this vector as follows:

v1 = mph, due east

Now let's consider the velocity of the wind as a vector in the northwest direction, with a magnitude of 10 mph. We can represent this vector as follows:

v2 = 10 mph, 45 degrees north of west

To find the resultant velocity, we can add the two vectors together using vector addition. We can break each vector into its x and y components as follows:

v1x = mph, v1y = 0

v2x = -7.07 mph, v2y = 7.07 mph

The negative sign in front of v2x indicates that the wind is blowing in the opposite direction to the boat's motion.

Now we can add the x and y components separately to get the resultant vector:

vx = v1x + v2x = 6.93 mph, east of north

vy = v1y + v2y = 7.07 mph, north

The magnitude of the resultant velocity is:

|v| = sqrt(vx^2 + vy^2) = sqrt((6.93 mph)^2 + (7.07 mph)^2) = 9.99 mph

The direction of the resultant velocity can be found by taking the inverse tangent of the ratio of the y-component to the x-component:

θ = tan^(-1)(vy/vx) = 45.03 degrees north of east

Therefore, the resultant velocity of the boat is 9.99 mph, 45.03 degrees north of east.

Explanation:

Here is the missing information.

An exhausted bicyclist pedal somewhat erraticaly when exercising on a static bicycle. The angular velocity of the wheels takes the equation ω(t)=at − bsin(ct) for t≥ 0, where t represents time (measured in seconds), a = 0.500 rad/s2 , b = 0.250 rad/s and c = 2.00 rad/s .

Answer:

0.793 rad

Explanation:

From the given question:

The angular velocity of the wheel is expressed by the equation:

\(\omega (t) =\dfrac{d\theta}{dt}\)

The angular velocity of the wheels takes the description of the equation ω(t)=at−bsin(ct)

SO;

\(\dfrac{d \theta}{dt} = at - b \ sin \ ct\)

dθ = at dt - (b sin ct) dt

Taking the integral of the above equation; we have:

\(\int \limits^{\theta}_{0} \ d \theta = \int \limits ^{t=2}_{0} at \ dt - (b \ sin \ ct) \dt\)

\([\theta] ^{\theta}_{0} = a \bigg [\dfrac{t^2}{2} \bigg]^2_0 - \bigg[ -\dfrac{b}{c} \ cos \ ct \bigg] ^2_0\)

where;

a = 0.500 rad/s2 ,

b = 0.250 rad/s and

c = 2.00 rad/s

\(\theta = (0.500 \ rad/s^2 ) \bigg [\dfrac{(2s)^2}{2} \bigg] - \bigg[ -\dfrac{0.250 \ rad/s}{2.00 \ rad/s} \ cos \ (2.00 \ rad/s )( 2.00 \ s) \bigg] - \bigg [ \dfrac{0.250 \ rad/s}{2.00 \ rad/s}\bigg ] cos 0^0\)

\(\mathbf{\theta = 0.793 \ rad}\)

Hence, the angular displacement after two seconds = 0.793 rad

Knowing the velocity of a cloud in the disk of the Milky Way is important for astronomers because it allows them to use the Doppler effect to determine how far away the cloud.

The Doppler effect is the change in frequency of waves (such as light waves) as the source of the waves moves closer or further away from an observer. By measuring the Doppler shift of the light emitted by the cloud, astronomers can calculate its velocity relative to Earth. Then, using the known rotation curve of the Milky Way, they can determine how far away the cloud is from the center of the galaxy. So, by knowing the velocity of a cloud, astronomers can calculate its distance and better understand the structure and dynamics of the Milky Way.
Knowing the velocity of a cloud in the disk of the Milky Way helps astronomers figure out how far away it is because it allows them to apply the principles of galactic rotation and the Doppler effect.

Step 1: Measure the cloud's radial velocity, which is its motion towards or away from us, using the Doppler effect. This effect causes the observed wavelength of light from the cloud to shift due to its motion.
Step 2: Understand that the Milky Way rotates differentially, meaning objects closer to the center rotate faster than those farther out. Astronomers can use a rotation curve to determine the expected velocity for a given distance from the galactic center.
Step 3: Compare the measured radial velocity with the expected velocity from the rotation curve. The difference between these velocities allows astronomers to calculate the angle between our line of sight and the cloud's actual path of motion.
Step 4: Apply trigonometry to determine the distance between us and the cloud using the angle and the known distances to other reference points within the Milky Way.
In summary, knowing the velocity of a cloud in the disk of the Milky Way helps astronomers figure out how far away it is by allowing them to use the Doppler effect, galactic rotation principles, and trigonometry to calculate its distance.

Visit here to know more about Doppler effect:

brainly.com/question/15318474

#SPJ11

Reichardt detectors use motion-opponent processing to detect movement among lights in its receptive field. The correct option is (a) detect movement among lights in its receptive field.

The Reichardt detector is a neural system that is responsible for motion detection. It's made up of two photoreceptor cells that are placed next to each other. It's also known as the elementary motion detector (EMD). The concept of motion detection is based on the idea of apparent movement.In the Reichardt detector, a photoreceptor cell receives an image and sends a signal to a second photoreceptor cell that is next to it. The second photoreceptor cell is a delayed signal. When the signal from the first photoreceptor cell arrives, the two signals are compared. When the signals are aligned, it results in a signal that detects movement in a particular direction. This is known as motion-opponent processing.

Motion-opponent processing is a type of sensory processing in which neural circuits respond in opposite directions to various aspects of the sensory stimulus. This is used by the brain to detect motion. In motion-opponent processing, coding a particular direction of motion and the opposite direction using excitation and inhibition is also involved. It means that the Reichardt detector uses motion-opponent processing to detect movement among lights in its receptive field.

Learn more about Motion: https://brainly.com/question/26083484

#SPJ11

Answer:

C

Explanation:

because cooling down makes your blood flow through your body much easier and fatser.

Answer:

C.It keeps your blood flowing evenly.

Explanation:

Energy released ,

\( = 3.789 \times {10}^{ - 12} \) J

Answer:

action and reaction forces.

Explanation:

Newton's first law of motion states that "An object at rest stays at rest and an object in motion stays in motion with the same speed and in the same direction unless acted upon by an unbalanced force." Objects tend to "keep on doing what they're doing." In fact, it is the natural tendency of objects to resist changes ...

Inside a laser apparatus, the stimulation and relaxation of electrons in atoms cause many photons with the same wavelength to be continuously emitted.

From the questions given, the main objective is to fill in the gaps and add important information where necessary. The missing information is highlighted in bold and underlined.

Therefore, we can conclude that we've fully understood the concept of emission of photons and wavelength in a laser apparatus.

Learn more about wavelength here:

https://brainly.com/question/23023103?referrer=searchResults

Answer:

Explanation:

The momentum of an object can be found by using the formula

momentum = mass × velocity

From the question we have

momentum = 730 × 20

We have the final answer as

Hope this helps you

Answer:

True

Explanation:

Answer:

True is the correct answer

Explanation:

i took the test

Answer:

Should be perpendicular

The name that is given to the shortest distance that exists between a line of action of a force and the pivot is the perpendicular distance.

It should be noted that the perpendicular distance refers to the distance from one point to another that exists between two objects.

The perpendicular distance is known as the shortest distance that's between a point and a line. When there are two distinct lines that intersect each other at 90°, the lines are perpendicular lines.

Read related link on:

https://brainly.com/question/19773505

The magnetic force of a material comes from the spinning of electrons.

Electrons have a property known as spin, which creates a tiny magnetic field. When many electrons in a material are spinning in the same direction, their magnetic fields align and create a stronger magnetic force. This is because electrons have both charge and angular momentum, which are necessary for generating a magnetic field.
When electrons spin around the nucleus, they create tiny magnetic fields that can align with other nearby magnetic fields, resulting in a net magnetic force.

The nucleus, neutron, and photon do not have a magnetic field created by their spin. Nuclei and neutrons are composed of particles called quarks, which do not have a magnetic field. Photons are particles of light and do not have a charge or spin.

In summary, electrons are responsible for the magnetic force of a material because they have a property called spin, which creates a magnetic field.

Learn more about electrons here:

https://brainly.com/question/1255220

#SPJ11