The period of Jupiter is known to be 11.9 years. Use this data to determine its average distance from the Sun.

Answers

Answer 1

The period of Jupiter is known to be 11.9 years then the average distance of Jupiter to the Sun is given to be  5.21 AU.

Kepler's laws of planetary motion :

According to this law, the semi-major axes of the planets' orbits are directly proportional to the squares of the planets' orbital periods.

period of the Jupiter = 11.9 years

radius of the earth = 1 AU

orbital period of the earth = 1 year

According to the Kepler's 3rd law of planetary motion :

T² ∝ R³

T² = k R³

k = T²/ R³

[tex]k = \frac{T^2_j}{R^3_j} = \frac{T^2_e}{R^3_e}[/tex]

T² /(R)³ = (1)² /(1)³

Rj  =  [tex]T^{\frac{2}{3}}[/tex]

T = 5.21 AU

The period of Jupiter is known to be 11.9 years then the average distance of Jupiter to the Sun is given to be  5.21 AU.

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Related Questions

A 100 V DC power supply is used to charge a 45 μF capacitor. What is the maximum charge of the capacitor?
Q=

After the capacitor is fully charged, it's disconnected from the power supply and connected to a 45 mH inductor. The resistance in the circuit is negligible. What is the frequency and period of electric oscillation in the circuit?
f=
T=


What is the charge on the capacitor at time t=2.9 ms?
q=


What is the current in the circuit at time t=2.9 ms?

i=

Answers

Angular frequency (ν) = 22 × 10³ HPeriod of electric oscillation (t) = 4.5 × 10⁻⁵ sec Charge on the capacitor at 2.9 ms (Q) = 2.9 × 10⁻³ CCurrent in the circuit at 2.9 ms (I) = 1 AWhat is capacitance?

Capacitance is the ability of an object or device to store an electric charge. It is measured by the change in charge in response to a potential difference and is expressed as a ratio of these quantities.

For charge:

Q = CV

Where Q = Charge

C = Capacitance (45 μF or 45 × 10⁻⁶ F)

V = Voltage applied (100 V)

Q = 45 × 10⁻⁶ × 100

Q = 45 × 10⁻⁴ C

For angular frequency:

ν = 1/√(LC)

ν = angular frequency

L = Inductance (45 mH or 45 × 10⁻³ H)

C = Capacitance (45 μF or 45 × 10⁻⁶ F)

ν =  1/√(45 × 10⁻³ × 45 × 10⁻⁶ )

ν =  1/4.5 × 10⁻⁵

ν =  0.22 × 10⁵ H or 22 × 10³ H

For the period of electric oscillation:

t = 1/ν

t = period of electric oscillation

ν = angular frequency (22 × 10³ H)

t = 1/22 × 10³

t = 4.5 × 10⁻⁵ sec

Now, for current:

Q = It

I = Q/t

I = current

Q = Charge (45 × 10⁻⁴ C)

t = time (4.5 × 10⁻⁵ sec)

I = 45 × 10⁻⁴ / 4.5 × 10⁻⁵

I = 1 A

If the time is 2.9 ms, then charge and current will be

Q = It

Q = 1 × 2.9 × 10⁻³

Q = 2.9 × 10⁻³ C

I = Q/t

I = 2.9 × 10⁻³/2.9 × 10⁻³

I = 1 A

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Andrea is investigating the effects of light intensity and carbon dioxide concentration on the rate of photosynthesis. She measured the rate of photosynthesis at different light intensities for two identical plants. The plants were placed in closed containers. One container had an initial carbon dioxide concentration of 0.40%. Th e other container had an initial carbon dioxide concentration of 0.03%. She plotted her results as shown below. Look at the graph. A. Does an increase in carbon dioxide concentration affect the rate of photosynthesis?

Answers

In the light-independent reaction, carbon is absorbed into carbohydrates, increasing the rate of photosynthesis until it is constrained by another cause. Photosynthesis rate and light intensity are directly correlated.

what the importance of photosynthesis

Photosynthesis' main job is to transform solar energy into chemical energy, which is then stored for later use. This mechanism is primarily what powers the planet's living systems. Compared to human engineering standards, it is not particularly effective, but it gets the job done.

How might photosynthesis be made more prevalent?

The process through which sugars are used to create chemical energy from light is known as photosynthesis. Oxygen is produced as a byproduct as water and carbon dioxide are converted into glucose (or other sugars) in a process that is fueled by light energy.

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find the resultant of an easterly force of 100 N and a southerly force of 80 N acting at 65 degrees to the 100-N force

Answers

The resultant force will be 52N.

Resultant force: If two or more forces are acting at a certain point, their resultant force would be defined as the force that when applied at that same point, it will have the exact same effect like the two independent forces acting together.

Fx = F cos Ф

Fx = 100 × cos 65 degree (Cos 65 degree = 0.52)

Fx = 100 × 0.52

Fx = 52 N

Therefore, the resultant force will be 52 N.

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As my puppy Ragnar got older, I had to find ways to entertain him. Ragnar
loves to chase rubber balls, so I kick a ball, sending it over a 3 meter high
tree that is 14m away. The ball lands at the same level from which it was
struck after traveling a horizontal distance of 17.8 meters.
(A) If the ball left the ground 54 degrees above the horizontal and landed
2.24 seconds later, what was its initial speed?
(B) How high was the ball when it passed over the tree?
(C) What is the highest point reached by the ball?
(D) If I was to throw the ball instead of kicking the ball
from the ground, how would this affect the ball's time of
flight? Explain.

Answers

The ball's velocity must be zero to reach the highest spot it can.

What about the velocity?When an item is moving, its velocity is the rate at which it is changing position as seen from a certain point of view and as measured by a specific unit of time.By dividing the amount of time it took the object to go a certain distance by the overall distance, one can calculate the object's initial velocity. V is the velocity, d is the distance, and t is the time in the equation V = d/t.The velocity of a moving object refers to how quickly it is moving in that direction. as quickly as a vehicle driving north on a freeway or a rocket taking flight.

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How does magnetic force affect the energy in a system of magnets when the magnets are released and begin to move?.

Answers

The magnetic pressure modifications capacity power into kinetic power. Dylan places magnetic toy trains subsequent to each other on a track.

When magnets have appealing forces among them and they're moved apart, kinetic power is transferred into the magnets whilst they're released and they pass lower back together. converting the space between magnets changes the amount of strength that can be transferred into and out of a magnetic area.

A charged shifting particle is a particle in movement with either a positive or terrible price. Magnetic pressure has a good-sized impact on charged debris. A robust magnetic pressure can alter the route of a transferring charged particle. A big object with a magnetic force encourages particles to revolve around it.

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The magnetic force changes potential energy into kinetic energy.

Moving a magnet around a coil of wire, or moving a coil of wire around a magnet, pushes the electrons in the wire and creates an electrical current. Electricity generators essentially convert kinetic energy into electrical energy.

All magnets have north and south poles. Contrary poles are interested in every different, while the same poles repel every different. While you rub a chunk of iron alongside a magnet, the north-seeking poles of the atoms inside the iron line up inside the same direction. The force generated via the aligned atoms creates a magnetic subject.

When  magnets are brought close collectively they exert a pressure on each different, like poles repel every different.  Unlike poles attract each different. Appeal and repulsion between two magnetic poles are examples of non-touch force.

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An experiment that produces waves on a string is analyzed, and the experimental value for the wave speed is found to be 66 m/s. If the accepted value for the wave speed is 63 m/s, what is the percent error?

Answers

The percent error of an experiment given the experimental and accepted values for the wave speed is 4.762%.

How to calculate percent error?

Percent error is the absolute value of the error, divided by the accepted value, and multiplied by 100% as follows;

% Error = {experimental value − accepted value}/accepted value × 100%.

According to this question, an experiment that produces waves on a string is analyzed, and the experimental value for the wave speed is found to be 66 m/s. If the accepted value for the wave speed is 63 m/s, the percent error is calculated as follows:

Percent error = {66 - 63}/63 × 100

Percent error = 3/63 × 100

Percent error = 4.762%

Therefore, 4.762% is the percent error of the experiment.

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a 1,400-kilogram car is also traveling in a straight line at 10 m/swhat is its momentum

Answers

The velocity of the car is v = 28.6 m/s.

Solution:

v = p/m

v = 40,000 kg x m/s

1,400 kg

v = 28.6 m/s

Average velocity is a measure of total displacement divided by total time. The total displacement is the distance between the start and endpoints. Since the car moves from point A at both the start and end points the total displacement is zero and the average velocity is also zero.

Velocity is the distance traveled per unit of time, the speed of movement. The speed of a car traveling on a smooth, flat section of a highway without traffic congestion is constant and not zero. Acceleration is the rate of change of velocity. The reason is simple. Velocity is the percentage of time an object moves along a path and Velocity is the speed and direction of an object's movement.

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A golfer can hit a golf ball a horizontal distance of over 300 m on a good drive What maximum height will a 301.5 m drive each if it is launched at an angle of 25.0" to the ground? (Hint: At the top of its flight, the ball's vertical velocity com ponent will be zero.)

Answers

35.15 m maximum height will a 301.5 m drive each if it is launched at an angle of 25.0" to the ground.

What exactly is meant by velocity?

The accurate measurement of an object's position and speed is its velocity. It is the distance that an item travels in one unit of time. The displacement of the item in one unit of time is the concept of velocity.

Briefing:

Using the formula for the horizontal range, we will first determine the ball's projectile motion's launch velocity:

R = u²sin 2θ/g

where,

R = horizontal range = 301.5 m

u = launch speed = ?

θ = launch angle = 25°

Gravity's acceleration, or g, is 9.81 m/s2²

Therefore,

301.5 m =  u²sin 50 /9.81 m/s²

u  = √(301.5 m)(9.81m/s²) / sin 50

u = 62.14 m/s

Now, using the following formula, we will determine the projectile motion's maximum height (H):

H = u²sin²θ

H  = (62.14m/s²) sin²(25⁰) / 2(9.81 m/s²)

H = 35.15 m

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What is photon and it's uses

Answers

Answer:don’t

Explanation:

In brief, photon is a kind of “force carrier”, used to transmit electromagnetic force. When it doesn’t move, it has no weight. Photon’s invariant mass is zero. It can also reach the speed of light when it’s in vacuity.

What is velocity gradient?​

Answers

Answer:

Explanation:

What Is Velocity Gradient? According to the definition of velocity gradient, the difference in velocity between the layers of the fluid is known as the velocity gradient. It is represented by v/x, where v stands for velocity and x stands for the distance between the adjacent layers of the fluid.

OPEN ENDED QUESTION
What is the connection between the fires
started in LA, Bakersfield, and Fresno?

Answers

A jury acquitted him of starting two fires in Fresno but convicted him of several fires that prosecutors claimed he started on his way home to Glendale.

Most serial arsonists only set fire to a place once. Nearly half of the samples consumed alcohol before lighting. The most common motive for arson was revenge followed by rioting vandalism profit and other crime cover-ups. Firefighters' motives for arson range from excitement and thrill to the desire to cover up a crime.

Excitement-based motivation indicates that the firefighter wanted to be seen as a hero. Gasoline is one of the most commonly used fire promoters because it is efficient, easy to ignite, and can usually be purchased and transported without question. The second most common fuels are thinner and kerosene.      

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explain what is wrong with diagram. label the arrow correctly on the second diagram .

Answers

Vessel Mass Acting Downward (mg)

Bayonet Force Acting Above Vessel (Fb)

This force is called buoyancy. Buoyancy pushes objects up. Gravity exerts a downward force on an object determined by the object's mass. Therefore, if the downward force exerted by gravity on an object is less than the buoyant force the object floats.

Since the buoyant force on the body and the weight of the body are equal and opposite, the net force on the body is zero, giving the body a net force to levitate. The wind force acting on a sail moving a boat is an example of Newton's third law of motion. That is, every action has an equal and opposite reaction. But the relationship between force and motion is not as simple as the wind blowing just behind the sails propels the ship forward.

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a 10.0 kg block of wood is pulled up a ramp with a cable at a constant velocity. given the information below, determine the work preformed if the block is moved 1.75 m up the ramp. if this work was preformed in 2.5 s, how much power was produced

Answers

Answer:

Work performed=57.14 NM

Power= 22.86 J/s

Explanation:

Work done= Force/distance

W=F/d

we don't have the force but weight and force is the same thing so to find weight we have to use the formula

Weight= mass × gravitational field strength

W=mg

W= 10.0×10. (please remember that g has a constant value of 10)

W=100 N

Therefore the force is 100 N

Going back to the original equation

W= 100/1.75

W= 57.14 NM

Power=Work done/time

P= W/t

P= 57.14/2.5

P= 22.86 J/s

O If the coefficient of kinetic friction between a crate and the floor is 0.20 how much force is needed to slide a 92 kg crate uniformly across the floor?

Answers

The crate (92 kg) will be slide on the rough floor with kinetic friction about 0,2.

Minimum force is required to allow the crate moves, which is calculated as follows :

Kinetic friction is formed because there are two or more things are sliding together. In this case, crate and floor are rubbing each other. Kinetic friction can cause the speed of things decreased.

Crate need a bigger force than the friction one to make it move.

So, we can calculate the value of a kinetic friction first.

f = μ x N

f = friction (Newton)

μ = coefficient of kinetic friction

N = Normal force (Newton)

f = μ × N

f = 0,2 × m × g

f = 0,2 × 92 × 10

f = 2 × 92 = 184 N

So, Crate need more than 184 N or bigger than a kinetic friction to allows it move.

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Compound interest is a method of calculating interest for which interest is computed on the initial investment amount as well as on any previous interest.

Answers

The starting principal sum is multiplied by both of these variables, and the annual interest rate is increased to the number of compound periods minus one.

The full original amount of the loan is then reduced by the resulting value. Compound interest is the term for interest that is earned on interest. This may be shown using simple math: if you start with $100 and it earns 5% interest every year, you will have $105 at the end of the first year. At the end of the second year, you will have $110.25. On the initial principal sum, simple interest is calculated each time. Compound interest is calculated using the sum of the principal and interest. It is equal every year on a particular principal.

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Under electrostatic conditions, the electric field just outside the surface of any charged conductor.

Answers

The conductor's surface is always perpendicular to.

what is electrostatic condition?

Have you ever wondered why you experience a jolt upon contacting a doorknob? Deciphering these situations will teach you about the idea of electric charge. Two symbols, "+" and "-," can be found on batteries when they are analyzed. This is because the transmission of positive and negative charges occurs at these two ends.

The study of electric charges at rest is done by the science of electrostatics (static electricity).

The ability of some materials to collect light particles after rubbing, such as amber, has been recognised since classical times. Thus, the term "electricity" has its roots in the Greek word for amber, v (lektron). The forces that electric charges apply to one another give birth to electrostatic phenomena. Coulomb's law explains these types of forces.

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Two balls a and b, having different but unknown masses, collide. A is initially at rest when b has a speed v. After collision, b has a speed of v/2 and moves at a right angle to its original motion. Find the direction in which the ball a moves after the collision.

Answers

The direction in which the ball a moves after the collision is east of south

What is momentum ?

Momentum, the product of a particle's mass and its velocity. Momentum is a vector quantity. It has both magnitude and direction. Isaac Newton's second law of motion states that the rate of change of momentum over time is equal to the force acting on a particle. See Newton's Laws of Motion.

From Newton's second law, if a particle is subject to a constant force over a period of time, the product of that force and the time interval (momentum) equals the change in momentum. Conversely, the momentum of a particle is a measure of the time it takes for a constant force to come to rest

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The current-potential difference graphs for a lamp and a diode are shown in Figure 1.
Complete the sentences to describe how the resistance changes as the current changes in a lamp and a diode.
As the__________ across the lamp increases, the
resistance of the lamp_____________
This is because the temperature____________
The current through a diode flows in one_______________ only.
The resistance is____________ in the reverse direction.

Answers

As the temperature across the lamp increases, the

resistance of the lamp increases.

This is because the temperature is proportional to resistance.

The current through a diode flows in one direction only.

The resistance is flowing in the reverse direction.

What is resistance?

Resistance is described as a measure of the opposition to current flow in an electrical circuit. Resistance is known to be measured in ohms, symbolized by the Greek letter omega (Ω) which is named after Georg Simon Ohm (1784-1854), a German physicist who studied the relationship between voltage, current and resistance.

The relationship between temperature and resistance is that the resistance increases as the temperature increases in conductors and decreases with the increasing temperature in insulators.

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If there are no external torques acting on either system, in which case is the final kinetic energy of the system biggest?.

Answers

K.E. of rotation will remain constant if moment of the body is maintained constant.

what is kinetic energy?

A particle or an item that is in motion has a sort of energy called kinetic energy. An item accumulates kinetic energy when work, which involves the transfer of energy, is done on it by exerting a net force.

Main body:

This is as per the principle of conservation of angular momentum, i.e.

when T = 0, L= Iω = constant.

K.E. of rotation = 1/2 Iω²

E = I²ω²/2I = L²/2I

where L is constant, therefore, E∝1/I

i.e., K.E. of the system is not constant.

Therefore, moment of inertia of the system increase and K.E. will decrease and vice-versa.

Therefore, K.E. of rotation will remain constant if moment of the body is maintained constant.

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I have a material thats 65 cubic feet totaling 40000 cubic yards. How many dump trucks will it take to haul this material?

Answers

It will take about 2,500 dump trucks to haul the material. Assuming the capacity of the dump truck is 16 cubic yards.

Note: A standard dump truck is between 10 -16 cubic yards.

1 cubic yard = 27 cubic feet.

from the question:

40,000 cubic yards= 65 cubic feet

hence,

Assuming the dump truck capacity is 16 cubic yards

Then,

number of dump trucks = 40,000 cubic yards/16 cubic yards

                                      =2,500

Therefore a dump truck of 16 cubic yards capacity, will need about 2,500 dump trucks to haul the material totaling 40,000 cubic yards.

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When two elements bond and
form a compound, what
happens to their neutrons?
A. The neutrons remain the same in the
nucleus of each atom.
B. Both elements lose neutrons.
C. They share or give away their neutrons.

Answers

When two elements bond and form a compound, then:  A.) The neutrons remain the same in the nucleus of each atom.

What happens to their neutrons when two elements bond and form a compound?

There are basically two types of bonds: ionic and covalent bonds. In both the cases, electrons are involved in formation of bonds. In ionic bonds there is a complete sharing of electrons.

In covalent bonds, there is sharing of electrons. Since the neutrons reside in the nucleus of the atom along with protons contributing for the atomic mass, hence during bonds formation number of neutrons remain unchanged.

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4. What force must be exerted on a 1500-kg car to make it move with
an acceleration
of 3.8 m/s²

Answers

The force must be exerted on a 1500-kg car to make it move with

an acceleration of 3.8 m/s² is 5700 N.

According to Newton's Second Law Of Motion,

The Force is directly proportional to the Change in Momentum,

Thus, F ∝ dp/dt

Now, Momentum p = mv

F = m*dv/dt

F = ma

Thus, Force is the product of mass and acceleration,

Mass of the car = 1500 kg

Acceleration of the car = 3.8 m/[tex]s^{2}[/tex]

So, The force required will be = m*a = 1500 * 3.8 = 5700 N

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As part of astronaut training, a prospective astronaut is spun around in a human centrifuge such that the candidate experiences a centripetal acceleration that is 2.5 times the acceleration due to gravity on the surface of the earth. If the candidate is 7.27 m from the center, determine the candidate's speed in meters per second.

Answers

Due to the relationship between linear and angular speed, the candidate's speed is 13.3 m/s

Circular Motion

A satellite orbiting the earth is one of the example of a circular motion. The satellite will experience gravitational attraction towards the center of the earth. This attraction force provides the centripetal force

Given that a prospective astronaut is spun around in a human centrifuge such that the candidate experiences a centripetal acceleration that is 2.5 times the acceleration due to gravity on the surface of the earth. If the candidate is 7.27 m from the center, the parameters to work on are

Centripetal acceleration a = 2.5g = 2.5 × 9.8 = 24.5 m/s²Orbital radius r = 7.27 mSpeed v = ?

To determine the candidate's speed in meters per second, let us first find its angular speed w in rad/s by using the formula

a = w²r

24.5 = 7.27w²

w² = 24.5 / 7.27

w² = 3.37

w = √3.37

w = 1.84 rad/s

The relationship between linear and angular speed is

v = wr

v = 1.84 × 7.27

v = 13.3 m/s

Therefore, the candidate's speed in meters per second is 13.3 m/s

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Using E = mc2, we found that 1 kg of mass has
the energy equivalent of 20 megatons. Estimate
how many megatons of energy would be required
to accelerate a spaceship with a mass of one million kg to a speed of 0.99c. What does this suggest
to you regarding the practicality of space travel at
relativistic speeds?

Answers

The energy in megatons would have required to accelerate a spaceship with a mass of one million will be equal to  5.48 × 10²³ × 2.39 × 10⁻¹⁰ tons.

What is relativistic speed?

The speed at which relativistic effects are significant to the intended accuracy of the phenomenon being viewed is known as relativistic speed. Relativistic effects are the differences between data determined by models that take relativity into consideration and those that do not. Velocity, rapidity, and celerity—which are the right speed related synonyms.

From the given information in the question,

E = (γ-1)mc² and,

γ = 1/√(1-(v²/c²))

For non-relativistic speed, v<<c or v/c<<1 then this factor is equal to 1.

m = 1 million kg or 10⁶ kg.

v =0.99 c.

[tex]E=[(\frac{1}{\sqrt{1-(0.99c)^2/c^2)} } )-1](10^6)(3*10^6\ m/s^2)^2[/tex]

E = 54.81 × 10²² J = 5.48 × 10²³ J

Let's calculate in terms of tons,

1 J = 2.39 × 10⁻¹⁰ tons

Therefore,

5.48 10²³ J = 5.48 × 10²³ × 2.39 × 10⁻¹⁰ tons.

This is a tremendous quantity of energy and is completely unattainable. As a result, we might conclude that moving at such relativistic speeds is extremely challenging.

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One day in science class Tara notices a lava
lamp in the back corner. The teacher plugs it in and after some time they notices the
"lava"moving up and down. Using your
knowledge of density explain why the "lava"
behaved in this manner.

Answers

Answer:

the lava is and burning like liquid that is from a volcano when it erupt lava

Four model rockets are launched in a field. The mass of each rocket and the net force acting on it when it launches are given in the table below. (1. 4.25kg 120N) (2. 3.25kg 120N) (3. 5.50kg 120N) (4. 4.50kg 120N), Which rocket has the lowest acceleration?

Answers

The correct answer is option 3 i.e., 5.50 Kg and 120 N had lowest acceleration among all options given.

What connection exists between force and mass of acceleration?

Mass times acceleration, or F=m x a, equals force. This means that in order to move an object at the same speed as an object with smaller mass, a stronger force is required. Newton's Second Law of Motion is this.

Acceleration = Force / Mass

Given, as per question in all the 4 options Force = 120 N same for all

So as per formula if we assume Force is constant

Then, if mass is increased then acceleration will be lowest as both are inversely proportional.

1. Acceleration= 120 / 4.25 = 28.23 m/s²

2. Acceleration= 120 / 3.25 = 34.28 m/s²

3. Acceleration= 120 / 5.50 = 21.81 m/s²

4. Acceleration= 120 / 4.50 = 26.66 m/s²

Hence answer is option number 3.

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A car of mass 1100kg accelerates from rest to a velocity of 40m/s in 20 sec. a). Calculate the acceleration of the car assuming it to be uniform​

Answers

The acceleration of the car assuming it to be uniform​ is 2 m/s².

Acceleration is the rate of change of the velocity of an item with appreciation to time. Accelerations are vector portions. The orientation of an item's acceleration is given by the orientation of the net pressure appearing on that object.

Calculation:-

mass = 1100 Kg

initial velocity = 0

final velocity = 40 m/s

time = 20sec

v = u + at

40 = 0 a × 20

a = 2 m/s²

Acceleration is the charge at which velocity modifications with time, in terms of each speed and route. A factor or an object moving in a straight line is accelerated if it quickens or slows down. movement on a circle is extended despite the fact that the rate is consistent because the course is continually changing.

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HURRY!!!!! final exam..

Question 3 of 20:
Select the best answer for the question.
3. Which of the following real-world examples models linear motion?
O A. Running 50 m along a straight track
O B. Throwing a rock in the air at a 45-degree angle
O C. Throwing a rock in the air at a 60-degree angle
O D. Running around the curve of a track
O Mark for review (Will be highlighted on the review page)

Answers

Answer:

A.Running 50 m along a straight track

Explanation: Running 50 m along a straight track is a real-world example of linear motion.Linear motion means moving along a (straight) line, a direct and straight line from point A to point B.All the other proposed answers (A,B,C) involve a curve.  The two rock examples will curve due to gravity and running around a curve on a track isn't a straight line.I hope that helps you understanding the principle of linear motion.

Answer:

A. Running 50m along a straight track

Explanation:

Linear motion is the motion that is natural to an object: moving in a straight line. An object not affected by any force will continue indefinitely in a straight line.

which of the following does not describe energy within an ecosystem

Answers

The statement which does not describe energy within an ecosystem is that Energy is always fully contained and is denoted as option A.

What is Ecosystem?

This is referred to as all the organisms and the physical environment with which they interact. Energy on the other hand is referred to as the ability to do work and examples include potential energy, kinetic energy, mechanical energy etc.

Energy can neither be created nor destroyed but can be converted from one form or type to another. it also have various types which are mentioned in the previous paragraph.

It is not always fully contained as a result of other factors which influences its presence because some are lost to heat energy while some percentage is used for the metabolism in organisms.

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The options are:

Energy is always fully contained.Energy cannot be created or destroyed.Energy can transform into different types.When energy transfers or transforms, some energy is always lost.

Two friends stand at the top of the White Cliffs of Dover in England. One throws a
stone with a velocity of 11 m/s at an angle of 30° above the horizontal off the cliff
and into the water below. The second drops the stone from rest. Both release the
stones at exactly the same time from a height of 110 m above the water. Assuming
no air resistance, how long after the first splash is the second splash?
F
0.60 s
G
1.1 s
H
3.6 s
J
4.7 s

Answers

The second splash is 1.1 s after the first splash.

What is velocity?

The rate at which a body's displacement changes in relation to time is known as its velocity. Velocity is a vector quantity with both magnitude and direction is displacement.

Given parameters:

Initial velocity of the First stone; u₁ = 11 m/s.

Initial velocity of the Second stone; u₂= 0 m/s.

Height of both cases; h = 110 m.

Acceleration due to gravity; g = 9.8 m/s².

So, If time taken by the first stone is t₁; then

h = u₁t₁ + 1/2 * gt₁²

⇒ 110 = 11 t₁ + 1/2*9.8 t₁²

⇒ 4.9 t₁² + 11 t₁ -110 = 0

So, by solving this quadratic equation we get: t₁ =3.73s.

And if time taken by the second stone is t₂; then

h = 1/2*g t₂²

⇒ t₂ = √(2h/g) = √(2×110/9.8) = 4.74 s.

Hence, the second splash happens after first splash by a time = (4.74 - 3.73) s = 1.01 s = 1.1 second ( approx.).

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