mercury is about 0.4 au from the sun on average (40% of the earth-sun distance). according to kepler's 3rd law, a year on mercury (i.e., it's orbital period) is a year on earth.

The horizontal distance is equal to the half of the circumference of wheel.

x = 2 πr/2

= πr

= 3.14 * 45 * 10^-2

=1.413m

The vertical distance is equal to the diameter of wheel.

y=2r

= 2 * 45 * 10^-2

= 0.9m

The magnitude of the displacement of P is,

r^2 = x^2 + y^2

r^2 = (1.413)^2 + ( 0.9m)^2

r = 1.675

the angle is  tanθ

 θ= 32.5

To know more about displacement   visit : https://brainly.com/question/11934397

#SPJ4

The displacement is 900 meter current to the South.

We know that velocity is the ratio of the displacement of a body to time. Displacement is a vector quantity just as velocity. We know that given the fact that velocity and displacement are vectors, the direction of the movement is very important.

Thus, we can see that;

Velocity =  3 meter/sec  current to the South

Time = 5 minutes or 300 sec

Velocity = displacement/ time

displacement = velocity * time

displacement = 3 meter/sec  current to the South *  300 sec

= 900 meter current to the South

Learn more about velocity:https://brainly.com/question/18084516

#SPJ1

Answer:

40kg(88pounds)

Explanation:

.

.

.

.

.

.

Answer: ≈ 40.8 kilograms (89.9 pounds)

Explanation: Well, assuming the boy is on Earth, then the gravitational acceleration is approximately 9.8 m/s^2.

So, we get: mass = weight / gravitational acceleration

Put two and two together and you get 400-N / 9.8 m/s^2 ≈ 40.8 kg (89.9 pounds).

The angular acceleration of the tyres is -4.213 rad/[tex]s^{2}[/tex] .

Here we have to use the third equation of motion in case of rotational motion so as to calculate the angular acceleration of the tires. It is given by

[tex]w\w\limits^2_f =w\w\limits^2_i + 2\alpha \theta[/tex]

Then, converting the transitional velocity to rotational velocity,

vi = 95km/hr = 95 x 5/18 m/s = 26.39 m/s

vf = 55 km/hr = 55 x 5/18 m/s =15.28 m/s

Diameter of tire = 0.80m

Radius of tire = Diameter of tire/2 = 0.80/2 = 0.40m

Therefore,

wi = [tex]\frac{vi}{r}[/tex] = 26.39/0.40 rad/s = 65.98 rad/s

wf = [tex]\frac{vf}{r}[/tex] = 15.28/0.40 rad/s = 38.20 rad/s

[tex]\theta[/tex] = 65 revolutions= 2[tex]\pi[/tex] x 65 = 408.40 radians

so we have,

[tex]\alpha[/tex] = [tex]\frac{w_{f}^2 - w_{i}^2 }{2 \theta }[/tex] = [tex]\frac{38.20^2 - 65.98^2}{2*408.4}[/tex]=  -4.213 rad/[tex]s^{2}[/tex]

Hence the angular acceleration of the Tyres is -4.213 rad/[tex]s^{2}[/tex].

To know more about rotational velocity, visit:

https://brainly.com/question/26095104

#SPJ4

[tex]y = d \times sin \alpha \\ y = 13.04 \times sin3 \\ y \approx8.028 \: meters[/tex]

The platform that would be most used by the teenagers in 2025 is Yo--utube

A bar chart is used to show the relationship between two variables. The bar chart can be used for the purpose of comparing data that is obtained from various variables. In this case, we are comparing the use of the various social media platforms by teens aged between 13 - 17 years.

We have to note that the social media platform that has the most usage and the most visitors must be the one that would have the highest usage as the years progresses.  This is what we could be able to see from the chart as shown in the question.

Looking at the graph, we can see that Y--outube would be the leading social media platform among the teenagers by 2025. This is because it is visual and has the highest percentage of teens using it thus the trend would continue to grow upwards.

Learn more about bar chart:https://brainly.com/question/15507084

#SPJ1

If an object from a tall building falls, it will take it 4.995 seconds to reach a speed of 49 m/s.

The time taken for an object to fall can be calculated using the following equation of motion:

V = u + at

Where;

According to this question, an object from a tall building falls. The time it would take to reach a speed of 49m/s can be calculated as follows:

49 = 0 + 9.81(t)

49 = 9.81t

t = 49/9.81

t = 4.995s

Therefore, if an object from a tall building falls, it will take it 4.995 seconds to reach a speed of 49 m/s.

Learn more about time in motion at: https://brainly.com/question/15080570

#SPJ1

Two trains are seen as 150 km apart, if they are moving towards each other, they have 1.875 hours before the two trains collide.

The motion or the speed of any object present with relation to a certain point is referred to as relative motion. For instance, a ball thrown upward while in a moving object, like a bus, would be travelling at the same speed with respect to the bus, and would fall again in relation to that speed.

The same physical rules that govern objects at rest on the planet also govern objects in any reference frame that is moving relative to the earth at a constant speed.

The Initial position of Train A = 0 km

The Initial position of Train B = 150 km

x= xi + vi*t

We have to set them equal to each other to find when their positions are the same.

50t = -30t + 150

t = 1.875 hr.

To know more about relative motion visit:

https://brainly.com/question/15836528

#SPJ4

A ferris wheel having a radius of 8 m has a velocity of 8 m / s. is there a danger of the riders flying off .  No, the ferris wheel is not moving too fast.

What is a velocity?

Velocity may be a vector quantity that refers to "the rate at which an object changes its position." Imagine an individual moving rapidly - one step forward and one step back - always returning to the original starting position. While this might end in a frenzy of activity, it might result in a zero velocity.

What is the two types of velocity?

Constant velocity: is that the speed at which an object travels equal displacements in equal times. Variable velocity: it's the speed at which an object cuts different displacements at different times.

Learn more about velocity:

brainly.com/question/25749514

#SPJ4

Answer:

100 yd * 3 ft/yd / 3.281 ft/m = 91.4 m

Check" 91.4 m " 3.281 ft/yd = 299.9 ft = 100 yd

Two nonnegative real numbers with a sum of 46 that have the largest possible product is 23 and 23.

Explanation

Any no's half when multiplied by itself gives the larges possible outcome also being the sum of the given no. as 46

Some trials

23 + 23 = 46        ,       23 × 23 = 529

22 + 24 = 46        ,       22 × 24 = 528

21 + 25  = 46        ,        21 × 25 = 525

Hence, proven that Any no's half when multiplied by itself gives the larges possible outcome also being the sum of the given number.

Any number that exists in the physical universe is a real number. Everywhere we look, we see numbers. Natural numbers are used to count things, while rational numbers are used to represent fractions,

irrational numbers are used to calculate a number's square root, integers are used to measure temperature, and so on. A group of real numbers is created by these various kinds of numbers.

Learn more about real number

https://brainly.com/question/17201233

#SPJ4

By Applying Newton's law of gravitation to this speeds, we can deduce the mass of the cluster.

What is a galaxy?

A galaxy is a collection of stellar remnants, stars, interstellar gas, dust, and dark matter that is gravitationally bound to each other. The name comes from the Greek word galaxias, which translates to mean "milky" and refers to the Milky Way galaxy, which houses the Solar System. Galaxies range in size from dwarfs with fewer than one hundred million (108) stars to the largest galaxies known as supergiants with one hundred trillion (1014) stars, each orbiting its galaxy's center of mass. Galaxies are thought to contain an average of 100 million stars.

Therefore, the speeds of individual galaxies can be used to determine the mass of the cluster of galaxies  by the method of measuring the speeds and positions of the galaxies in a cluster as they orbit. And then, applying Newton's law of gravitation to this speeds, we can deduce the mass of the cluster.

Determination of mass of cluster using speeds of galaxies orbiting the center:

a) determine a cluster's average speed and redshift measurements

b) To determine each galaxy's individual speed, deduct this average from the galaxy's overall speed.

c) calculate cluster mass using newtons universal law of gravitation and individual speed

To know more about galaxy, go to URL

https://brainly.com/question/13956361

#SPJ4

The renting car that is reported to achieve 10.1 km/L its mileage in miles/gal is: 23.75 miles/gal

To solve this problem, we have to do the conversion of units with the given information.

Information about the problem:

Converting the units from km/L to miles/gal, we get:

10.1 Km/L * (1 miles / 1.60934 km) * (3.785 L  1 gal) = 23.75 miles/gal

10.1 Km/L is equivalent to 23.75 miles/gal

It is the transformation of a value expressed in one unit of measurement into an equivalent value expressed in another unit of measurement of the same nature.

Learn more about unit conversion at: brainly.com/question/141163

#SPJ4

The magnitude of the magnetic field inside the toroid varies as a function of :

[tex]B=\mu _0 nI[/tex]

where, B = magnetic field

n is the number of turns,

I is the current induced

What is a toroid?

To learn more about Toroid, refer to:

brainly.com/question/15842779

#SPJ4

If both the mass of a simple pendulum and its length are doubled the period will The time period of a pendulum does not depend on the mass of bob. So if the mass of bob doubled, the time period remains the same

A weight suspended from a pivot such that it can freely swing is called a pendulum. Gravity's restoring force will cause a pendulum to accelerate back toward its equilibrium position if it is sideways moved from its resting, equilibrium position. When the pendulum is freed, the restoring force acting on its mass causes it to oscillate, swinging back and forth, about its equilibrium point. The period is the length of time needed for one full cycle, or a left swing and a right swing. The period is influenced by the pendulum's length and, to a lesser extent, by the amplitude, or swing's width

To learn more about simple pendulum:

https://brainly.com/question/14759840

#SPJ4

The deceleration of the player is -3.13 m/s² if the baseball player is dashing toward home plate with a speed of 4.7 m/s when she decides to hit the dirt. she slides for 1.5 s.

It is defined as the rate of change in linear velocity with respect to time. It is also known as linear acceleration.

It is given that:

A baseball player is dashing toward home plate with a speed of 4.7 m/s when she decides to hit the dirt. she slides for 1.5 s

As we know,

From the acceleration formula:

a = (v2 - v1)/t

a = (0 - 4.7)/1.5

a = -3.13 m/s²

Thus, the deceleration of the player is -3.13 m/s² if the baseball player is dashing toward home plate with a speed of 4.7 m/s when she decides to hit the dirt. she slides for 1.5 s.

Learn more about linear acceleration here:

brainly.com/question/13723307

#SPJ4

Answer:

A. Her distance is 4 miles.

B. Her displacement is positive.

Explanation:

She traveled 2 miles and then 2 miles so 2 + 2 = 4.

Displacement is the change in direction but she didn't change direction and continued in the same direction so the displacement would be positive.

The average velocity for the time interval from 2.10 s to 2.85 s is Vavg = 18 m/s.

What is  average velocity?

A vector quantity is average velocity. The change in position or displacement (∆x) divided by the time intervals (∆t) during which the displacement happens is the definition of average velocity. Depending on how the displacement is spelled out, the average velocity might be either positive or negative.

Vavg = d X/ d T

Here d X = change in distance

and d T = change in time

there Therefore    dT= 2 x 9 x t

so, at t= 2.10s x = 37.8 m/s

at t= 2.85s  x= 51.3 m/s

Therefore     Vavg = (51.3 m/s - 37.8 m/s) / ( 2.85s - 2.10s )

Vavg = 18 m/s

To learn more about average velocity click on the link below:

https://brainly.com/question/23856383

#SPJ4

According to the question, the change in pressure for the jetstream is  14.54Pa.

The force applied perpendicularly to an object's surface expressed as a symbol (p or P) is the force divided by the area of the object's surface. The pressure when compared to the surrounding air pressure is known as gauge pressure. Pressure is expressed using a number of different units. The SI unit of pressure, the pascal (Pa), for instance, is equal to one newton per square meter (N/m²). Some of these measurements are the result of dividing a unit of force by a unit of area.

Explanation:

Given;

jet's diameter,d = 10⁻²m

temperature, t = 20°C

Surface tension acts only on the lines AB and CD.

Consider the equilibrium of forces;

∑F = 0

P₁-P₀ = 2σ/d

here surface tension σ = 0.0727 N/m

P₁-P₀ = 2×0.0727/10⁻²

        = 14.54 Pascal

Hence, the change in pressure of the jetstream is 14.54 Pascal.

To know more about pressure, visit:

https://brainly.com/question/4578923

#SPJ4

Answer:

The wave takes 3.2 s at 0.75 m s⁻¹ to travel across a slinky. The length of slinky is 2.4 m.

What is a wave?

A wave is defined as a disturbance that travels from one spot to another through a medium. As an example of a wave, consider a slinky wave. When stretched from end to end and maintained at rest, the slinky assumes a natural state known as the equilibrium or rest position. The slinky's coils automatically assume this posture, equally spaced apart. The initial particle is pushed or shifted from its equilibrium or rest state to introduce a wave into the slinky.

Explanation:

As we know, [tex]speed=\frac{distance}{time}[/tex]

Therefore, [tex]distance = speed[/tex] × [tex]time[/tex]

=> d = 0.75 x 3.2

       = 2.4 m

Hence, the distance the wave travels or the length of the slinky is 2.4 m.

To know more about waves, click on the link

https://brainly.com/question/10750459

#SPJ9

Einstein’s understanding of curved space-time helped him understand gravity better on Earth.

The man Albert Einstein was the person who first brought up the idea of relativity. The relativity theory drove home the assertion that there are no absolutes in the universe.

On the other hand, the works of Aristotle and Newton about gravity did not include this element of relativity. Though the work of Newton was highly empirical, the results did not incorporate the ideas of relativity.

Thus, what distinguishes Einstein from Newton and Aristotle is Einstein’s understanding of curved space-time helped him understand gravity better on Earth.

Learn more about Albert Einstein:https://brainly.com/question/1275198

#SPJ1

True, A longitudinal design can often determine cause and effect more accurately than any cross-sectional design and this is a proven case.

By virtue of its scope, a longitudinal study is more likely than a cross-sectional study to suggest cause-and-effect linkages. In general, the design should be influenced by the research.

Sometimes, the direction of the research helps determine which design is most appropriate.

In contrast to longitudinal designs, adopting cross-sequential designs gives researchers the opportunity to quickly analyze a variety of age groups.

It also allows researchers to test for cohort effects, which is frequently impossible in a conventional longitudinal design.

A cross-sectional investigation when is carried out using several samples. The identical sample is used for longitudinal research.

To know more about Longitudinal waves, visit:

https://brainly.com/question/8497711

#SPJ4

While an object moves along a curved path it is not possible for acceleration to be zero.

The term acceleration has to do with the change of velocity with time. We know that velocity is a vector quantity. Since velocity is a vector quantity, it means that velocity would have both magnitude and direction.

Given the fact that the magnitude of the velocity of the object that is moving along a curved path may be constant, the direction of the velocity still changes.

Owing to the fact that we must consider both changes in magnitude and direction of velocity, it then follows that while an object moves along a curved path it is not possible for acceleration to be zero.

Learn more about acceleration:https://brainly.com/question/12550364

#SPJ1

The maximum energy is 6.2 eV.

Photoelectric effect: Some electrons are released from the metal surface when photons strike it. The photoelectric effect is the name given to this occurrence.

The work function (φ) of a metal is the minimal amount of energy required to remove electrons from its surface.

Maximum kinetic energy is the most energy that electrons have when they are expelled off a metal surface (KEmax).

The work function of sodium is 2.1 eV.

The wavelength of the radiation is 150 nm.

Work function, φ = 2.1 eV

Wavelength, λ = 150 nm = 150 × 10⁻⁹ = 15 × 10⁻⁸ m

Einstein's photoelectric equation is given as:

E = φ + KE(max)

KE(max) = E - φ

KE(max) = ( hc / λ ) - φ

KE(max) = ( 6.63 × 10⁻³⁴) × 3 × 10⁸ / (15 × 10⁻⁸ × 1.6 × 10⁻¹⁹) - 2.1

KE(max) = 0.8287 × 10 - 2.1

KE(max) = 8.3 eV - 2.1 eV

KE(max) = 6.2 eV

Learn more about wavelength here:

https://brainly.com/question/10750459

#SPJ9

The time period remains the same = 1 sec.

We have a mass–spring system.

We have to determine the period of oscillation if mass–spring system is displaced from equilibrium by 10cm and not from 5cm.

The time period is given by -

[tex]$T = 2\pi \sqrt{\frac{M}{K} }[/tex]

According to the question -

For x = 5 cm the time period is 1 seconds.

The time period is directly proportional to [tex]$\sqrt{\frac{M}{K} }[/tex] and it is not dependent on x.

So the time period remains the same = 1 sec only and only is the spring - mass system is the same.

Hence, the time period remains the same = 1 sec.

To solve more questions on Simple Harmonic Motion, visit the link below-

https://brainly.com/question/14987540

#SPJ4

Nonmetals do not conduct electricity or eject electrons when hit by photons.

An insulator is a material that does not allow electric current to pass through it. A metal is a material that is able to conduct electricity. We know that metals are able to conduct electricity and are also able to eject electrons when hit by photons.

All these goes back to the nature of the metals and the nonmetals. We know that the difference between the valence band and the conduction band in nonmetals is so wide. This prevents the promotion of electrons from the valance band to the condition band.

As such, nonmetals do not conduct electricity or eject electrons when hit by photons.

Learn more about nonmetals:https://brainly.com/question/2273750?

#SPJ1

Answer: The resultant is the vector sum of two or more vectors.

This is Newton's first law of motion, which says it's due to the motion being opposed by unseen resistive forces such as friction and air resistance.

Newton's first law states that unless compelled to change its state by the action of an external force, every object is going to remain stationary or in uniform motion in a straight line. Inertia is the tendency to resist changes in a state of motion.

If an accident occurs or the brakes are suddenly applied to the car, the body will tend to continue its inertia and move forward, which will almost certainly prove fatal. Seat belts are used to prevent such accidents by preventing your body from moving forward in inertia and thus avoiding danger.

To know more about forces visit :

https://brainly.com/question/13191643

#SPJ9

The correct answer is 4.

We know that, for an ideal, mono atomic gas, we have:

Temperature is directly proportional to Kinetic Energy

Kinetic Energy = 1/2 x m x v^2, where

m - mass of the gas

v - velocity of the gas

Thus, temperature is directly proportional to the square of the velocity of the gas.

Therefore, if velocity (or speed) becomes twice, the Kelvin temperature will become four times of its original value.

If velocity of all the atom is doubled , then root mean square velocity will also get doubled .

Also we know , root mean square velocity Vrms = v(3RT/molar mass )

So  Vrms is directly proportional to square root of T (temperature )

So is Vrms gets doubled , temperature  gets 4 times .

To learn more about monatomic ideal gas refer the link:

https://brainly.com/question/12370781

#SPJ4