suppose that 2 j of work are needed to stretch a spring from its natural length of 30 cm to a length of 42 cm. how much work (in j) is needed to stretch it from 35 cm to 40 cm?

Answers

Answer 1

The work needed to stretch the spring from 35 cm to 40 cm is 0.35 Joule. The result is obtained by using the formula for potential energy of a spring.

How to count the potential energy of a spring?

The potential energy can be expressed as

P.E = ½kx²

Where

k = spring constantx = spring displacement

Suppose that 2 J of work are needed to stretch a spring from its natural length of 30 cm to a length of 42 cm. Find work (in Joule) is needed to stretch it from 35 cm to 40 cm!

We have P.E₁ = 2 J when

x₁ = (42 - 30) cm

x₁ = 12 cm

x₁ = 0.12 m

The spring constant is

P.E₁ = ½kx₁²

2 = ½k(0.12)²

4 = 0.0144k

k = 277.77

k ≈ 278 N/m²

When it stretches for

x₂ = (40 - 35) cm

x₂ = 5 cm

x₂ = 0.05 m

The work needed will be

P.E₂ = ½kx₂²

P.E₂ = ½(278)(0.05)²

P.E₂ = 139(0.0025)

P.E₂ = 0.35 Joule

Hence, to stretch it from 35 cm to 40 cm, the work needed is 0.35 Joule.

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Related Questions

it takes a machine 90 seconds to do 54,000 j of work moving a conveyor belt. how much power is used to move the conveyor belt?

Answers

A machine moves a conveyor belt using 600 watts of power in 90 seconds, completing 54,000 j of work.

What kind of energy system is the ocean's conveyor belt?

Water is transported all across the world by a network of ocean currents known as the global conveyor belt. Deep currents are driven by changes in water densities in a process known as thermohaline circulation, whereas surface currents are predominantly driven by wind.

How many cycles through the global conveyor belt does one make?

A "parcel" of water is thought to take up to 1,000 years to travel the whole length of the planet's conveyor belt. At the northern polar region of the planet, cold, salty, thick water sinks and travels south along the western Atlantic basin.

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Question:

It takes a machine 90 seconds to do 54,000 J of work moving a conveyor belt. How much power is used to move the conveyor belt?

600 watts

540 watts

1.6 x 10-3 watts

4.8 x 106 watts

An 800 N person is lifted a distance of 75 cm. Calculate the amount of work done in Joules.

Show your work. Include proper units in your answer.

Answers

The work done on lifting a person who weigh 800N to a distance of 75cm is 600J.

Given the weight of person (F) = 800N

The distance person is lifted to is (x) = 75cm

The work done on lifting the person = W

When a force is applied to an object, work is done on it. Work is the amount of energy required to move an object over a certain distance. When a force is applied to an object, the object is displaced, and the work done is equal to the amount of energy required to move the object from its original position to its new position. Mathematically, work is defined as W = Fd, where F is the force and d is the displacement.

W = 800 x 0.75 = 600J

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4.how does this physical quantity compare for the topmost liquid compared to the bottom most one, in the density tower?

Answers

When comparing the physical quantity of the topmost liquid to the bottommost liquid in a density tower, it is important to note that the topmost liquid will have a higher density since it is closest to the source of the gravitational force.

This means that the topmost liquid will be heavier than the one below it, and the density of the topmost liquid will be greater than the density of the bottommost liquid.

Additionally, the topmost liquid will also have a higher viscosity, meaning it will be thicker and more viscous than the one below it.

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a positively charged metal ball a is placed near metal ball b. measurements demonstrated that the force between them is zero. explain how this happens.

Answers

While ball B is a metal ball, ball A is a non-metallic, negatively charged ball. Given: A minor positive charge on a ball called B.

What is magnitude example?

Size is referred to as magnitude. A car is moving more quickly than a bike, for instance, when it comes to speed. In this case, the car is moving faster than the bike by a larger margin. In terms of motion, it describes the absolute or relative size or direction that an object travel.

Why do we measure magnitude?

Scale of Earthquake Power This explains that while there are significant differences in strength (energy) between small and large quakes, the size (amplitude) differences between them are still significant.

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what are the units of the fitting parameters m and b

Answers

The units of the fitting parameter “m” is meters per second squared, the unit for acceleration. For the parameter “b” it is height h in meters (m).

Parametric fitting involves finding coefficients (parameters) for one or more models that you fit to data. The data is assumed to be statistical in nature and is divided into two components: data = deterministic component + random component.

The model is a function of the independent variable and one or more coefficients. The error represents random variations in the data that follow a specific probability distribution. The variations can come from many different sources, but are always present at some level when you are dealing with measured data. Systematic variations can also exist, but they can lead to a fitted model that does not represent the data well.

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Two planets are approximately a million miles away from each other. What force would be stronger between the two planets, the gravitational force or the electrical force?answer choicesThe forces would be the same.The gravitational force would be stronger.The electrical force would be stronger.Would vary depending on the orbital path.

Answers

The gravitational force would be stronger. Gravitational force is a much stronger force than electrical force and is usually the dominant force between two objects.

The gravitational force between two objects is proportional to the product of the masses of the two objects divided by the square of the distance between them. Since the distance between the two planets is a million miles, the gravitational force between them would be much greater than any electrical force that could exist between them.Gravitational force is the force of attraction between two objects that have mass. It is one of the four fundamental forces of nature, and it is the weakest of the four forces. The strength of the gravitational force between two objects depends on their mass and the distance between them.

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Help please!!!!! How does ozone form from vehicle exhaust?

Answers

Answer:  NOx and VOC combine chemically with oxygen to form ozone

Explanation:

If 6.0×105 J
J
of heat are added to the ice, what is the final temperature of the system?

Answers

The final temperature of the system is  63.33° C.

What is latent heat?

A body or thermodynamic system can release or absorb latent heat during a constant-temperature process, often a first-order phase transition.

Latent heat is energy that is provided or removed in a concealed form to alter the state of a substance without altering its temperature.

The applied heat = 6.0 × 10⁵ Joule

Mass of the ice = 1 kg

Latent heat of ice fusion = 334 kJ/kg

Hence,

334000 × 1 + 1 × 4200× (t - 0) =  6.0 × 10⁵

4200 × t = 266000

t = 63.33° C

Hence, the final temperature of the system is  63.33° C.

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imagine that the universe is a cubical box. if the universe initially contains equal amounts of all four elements, at all points, and the elements are then allowed to perform natural motions according to principles you discovered in (1) above, what will the final structure of the universe be?

Answers

If the universe initially contains equal amounts of all four elements, and the elements are then allowed to perform natural motions according to the principles discovered above, the final structure of the universe will be determined by the relative strengths of the forces acting on each element.

The stronger forces will cause the elements to move in certain directions and create patterns in the universe. For example, the forces of gravity, electrostatic forces, and magnetic forces will cause the Earth and Water elements to form planets, while the Air and Fire elements will form galaxies and stars. The final structure of the universe will depend on the balance of these forces and the motion of the elements.

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a woman walks a distance of 360 m with an average speed of 1.6 m/s. what time was required to walk this distance?

Answers

For a woman walks a distance of 360 m with an average speed of 1.6 m/s, the time taken is 3.75 minutes.

The formula for time is given as [Time = Distance ÷ Speed].

It can be measured in terms of seconds, minutes, hours, days, weeks, months, and years. SI unit for time is seconds.

Speed describes the distance travelled divided by the time taken to cover the distance.

The distance is 360 m.

The speed is 1.6 m/s.

Time is distance/speed.

Time = 360/1.6

Time = 225 seconds.

Time is 3.75 minutes.

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Change the speed 6 m/s into km/hr

Answers

Answer:

For changing the speed from m/s to km/h we just have to multiply the number with

18

5

So,

Here speed given is 6 m/s

To convert it into km/h =

6

×

18

5

=

21.6

km/h

Hence the correct answer is 21.6 km/h

A 12.5 kg ball moving to the right at 4 m/s strikes a 10 kg ball at moving at 2m/s to the left. After the collision the 12.5 kg ball is moving with a velocity of 1.6 m/s to the left and the 10kg ball moving at 5 m/s to the right . Is momentum conserved? Show your calculations on a half sheet of paper, then explain your thinking here.

Answers

The momentum is conserved as shown by the calculation

How is momentum conserved?

Momentum is conserved according to the law of conservation of momentum, which states that the total momentum of a closed system remains constant, unless acted upon by an external force. In other words, the momentum of an isolated system of objects is constant, as long as no net external force is applied. This means that if two objects collide, the total momentum of the system before the collision will be equal to the total momentum of the system after the collision.

We know that;

Momentum before Collison = Momentum after Collison

Thus we have that;

Momentum before Collison

(12.5 * 4) + (10 * 2)  = 50 + 20 =70 Kgm/s

Momentum after collision;

(12.5 * 1.6) + (10 * 5) = 20 + 50 = 70 Kgm/s

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assume all pulleys are massless and frictionless, and the systems are in equilibrium. find the tension t. the acceleration due to gravity is 9.8 m/s 2

Answers

The tension in each pulley would be is 74.96 N.

What is pulley system?

A pulley system is a type of mechanical device that uses pulleys to lift or move heavy objects. It consists of two or more pulleys, a belt or cable, and a motor or hand-operated force. The pulleys are connected with a belt or cable that passes over them, creating a loop.

The tension in a pulley system can be found using the equation:
T = m * g * (sin θ1 + sin θ2)
where m is the mass of the hanging object, g is the acceleration due to gravity (9.8 m/s2 in this case), and θ1 and θ2 are the angles of the pulleys.
So to find the tension, we need to know the mass of the object and the angles of the pulleys. If the system is in equilibrium, then the tension in the two pulleys must be equal, so we can set the tension to be equal to the same value in each pulley.
Once we know the mass of the object and the angles of the pulleys, we can solve for the tension in each pulley using the equation above.
For example, if the mass of the object is 10 kg, and the angles of the pulleys are 30° and 45°, then the tension in each pulley would be:
T = 10 kg * 9.8 m/s2 * (sin 30° + sin 45°)
T = 74.96 N

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What is the main difference between acceleration and speed?

A- Acceleration has no change in distance, while speed has no specific direction.

B- Acceleration is the changes in speed over time, while speed is the change in distance over time.

C- Speed has no change in time, while acceleration has a constant speed.

D- Speed is the change in distance over time, while acceleration is the change in time over a set distance.

Answers

Answer:

Option B

Statement:

Acceleration is the changes in speed over time, while speed is the change in distance over time.

a 60 kg college student walks at a speed of 6.5 km/hour. calculate the wavelength (in meters) and the kinetic energy (in joules) of this student.

Answers

The kinetic energy of the student who walks at a speed of 6.5 km/hour is 81.33 J.

The wavelength of the student cannot be calculated as the concept of wavelength only applies to waves, such as sound waves or light waves. It is not applicable to a moving object such as a college student.

The kinetic energy of the student can be calculated using the formula

KE = 0.5 * m * [tex]v^2[/tex]

where m is the mass of the student and v is their velocity. Converting the velocity from km/hr to m/s, we have

v = 6.5 * 1000 / 3600 = 1.8056 m/s.

Plugging in the mass and velocity, we get

KE = 0.5 * 60 kg * [tex](1.8056 m/s)^2[/tex] = 81.33 J.

So the kinetic energy of the student is 81.33 J.

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how long does it take rick to cover the distance d ? express the time taken by rick in terms of vr , vw , and d g

Answers

Time taken by Rick to cover a distance d can be expressed in terms of his rates of running and walking, as well as the gravitational acceleration, and will depend on the specific conditions of the distance being covered.

Assuming that Rick runs a distance of d at a constant speed of vr and walks the same distance at a speed of vw, the total time taken can be :

[tex]t = (d/vr) + (d/vw)[/tex]

if the distance d is vertically upward, such as climbing a flight of stairs, formula will need to be adjusted to account for the work done against gravity.

[tex]t = (d/vr) + (sqrt(2d/g) + (d/vw)[/tex]

This formula adds the time taken to climb the distance against gravity, which is [tex]sqrt(2d/g),[/tex] to time taken to run and walk the distance.

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the hydrogen bonds in liquid water are less stable than in ice. why?

Answers

The hydrogen bonds between water molecules change dramatically as the system's temperature changes.

The crystalline lattice of ice is dominated by a regular array of hydrogen bonds that space water molecules farther apart than they do in liquid water. This explains why water's density decreases when it freezes.

In other words, the presence of hydrogen bonds allows ice to float because this spacing causes ice to be less dense than liquid water.(Hydronium ions are also known as "hydroxonium ions").

H-O- H3O+

This is true in pure water at standard temperature and pressure. If the bond strengths were more similar, the atoms of two interacting water molecules might be partitioned into two polyatomic ions of opposite charge, specifically hydroxide and hydronium.

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The hydrogen bonds in liquid water are less stable than in ice due to the thermal energy of the water molecules in the liquid state causing them to vibrate and move around more, which makes it easier for the hydrogen bonds to break.

In liquid water, the hydrogen bonds between water molecules are constantly breaking and reforming due to the thermal energy of the water molecules. The thermal energy of the water molecules in the liquid state causes them to vibrate and move around more than in the solid state, which makes it easier for the hydrogen bonds to break.

In contrast, in ice, the water molecules are held in a more rigid and ordered structure, and the hydrogen bonds between them are more stable. The lower temperature in the solid state results in less thermal energy, which reduces the molecular motion and vibrations, making it more difficult for the hydrogen bonds to break.

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two vehicles with equal magnitudes of momentum traveling at right angles to each other undergo an inelastic collision. the magnitude of momentum for the combined wreck is

Answers

The magnitude of the momentum for the combined wreck is equal to 2p, which is equal to the magnitude of the momentum of each vehicle before the collision.

What is meant by magnitude of momentum?

The magnitude of momentum is a scalar quantity that describes the amount of motion an object has. It is defined as the product of an object's mass and velocity, and is a measure of how difficult it is to stop an object or change its velocity. The magnitude of momentum is a scalar quantity and is always positive.

In an inelastic collision, the total momentum of the two vehicles is conserved, but the kinetic energy is not. This means that the magnitude of the total momentum of the two vehicles before the collision is equal to the magnitude of the total momentum of the combined wreck after the collision.

Let's call the magnitude of the momentum of each vehicle before the collision "p". Then, the total momentum before the collision is 2p. After the collision, the combined wreck will have a single velocity, which we can call "v". The magnitude of the momentum of the combined wreck will be equal to the mass of the combined wreck multiplied by the magnitude of its velocity, which we can represent as mv.

Since the total momentum is conserved, we have:

2p = mv

where m is the total mass of the combined wreck.

So, the magnitude of the momentum for the combined wreck is equal to 2p, which is equal to the magnitude of the momentum of each vehicle before the collision.

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a peregrine falcon in a tight, circular turn can attain a centripetal acceleration 1.5 times the free-fall acceleration. if the falcon is flying at 20 m/s, what is the radius of the turn?

Answers

In a tight, circular turn, a peregrine falcon can reach a centripetal acceleration that is 1.5 times the acceleration of free fall. The turn's radius is 27.183 m if the falcon is traveling at 20 m/s.

The free-fall accel is just g.

The centripetal accel = 1.5*g = v²/r.

Solve for r.

r =  v²/1.5g  = 27.183 m

How rapidly a velocity varies in proportion to time is measured as acceleration.

It is a vector quantity. As well as being the second derivative of position with respect to time, it is also the first derivative of velocity with respect to time.

When compared to displacement and velocity, acceleration is like the fierce, fire-breathing dragon of motion variables. Some people are scared of it, it may be harmful, and if it's big, it makes you pay attention. When you're travelling in a vehicle or go-kart rounding a bend quickly or when you're in an aircraft taking off, you can feel your own acceleration.

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Places where particles of the medium spread farther apart are called: ___________

Answers

Places, where particles of the medium spread farther apart, are called compressions.

Mechanical waves are classified as longitudinal waves and transverse waves. Some examples of longitudinal waves are sound waves, seismic P-waves, and ultrasound waves. Transverse waves examples include electromagnetic waves and ocean waves. In this article, we will learn what is a longitudinal wave and its characteristics. Longitudinal waves are waves where the displacement of the medium is in the same direction as the direction of the traveling wave. The distance between the centers of two consecutive regions of compression or the rarefaction is defined by wavelength, λ. When the compression and rarefaction regions of two waves coincide with each other, it is known as constructive interference and if the regions of compression and rarefaction do not coincide, it is known as destructive interference.

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an example of an energy-requiring reaction is __________, which uses energy from the sun to produce sugars; an example of an energy releasing reaction is cellular ____________, which releases the energy in sugars.

Answers

Cellular respiration is an example of an energy-releasing process, which releases the energy in sugars. Photosynthesis is an example of an energy-requiring reaction, which consumes energy from the sun to make sugars.

Sunlight, carbon dioxide, and water are necessary as the first reactants in photosynthesis. When photosynthesis is finished, it releases oxygen and creates molecules of carbohydrates, most frequently glucose. The energy required for survival is contained in these sugar molecules.

Energy is needed for every chemical reaction in which tiny molecules are converted into larger ones. The molecules must be connected using ATP energy. Examples include converting amino acids into protein and carbohydrates into glycogen.

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Help please!!! In what two ways does deforestation contribute to air pollution?

Answers

Answer: Deforestation fires, Lowers the amount of oxygen in the atmosphere.

Explanation:

In a lot of places they will cut down trees with heavy machinery which produce a lot of gases such as Carbon Monoxide, now in little scale thats okay. However many places do it to such a scale that there is almost 200 forest fires a day. Each fire lowers the amount of trees but increases air pollution.  

you have already found an expression for the electric field in the region r>rb in part a. what is an expression for the electric field e(r) in the region ra

Answers

E =lE0xi describes the electromagnetic current in a particular area. If a cubic container bounded by the surface x=0,x=a,y=0,y=a,z=0,z=a contains x1012C of charge.

What is the formula for the electric field?

E=Fqtest=k|Q|r2. The size of the electrical field produced by a charged object Q is determined by this equation. The radius r in the fraction is the separation between the area of interest and the point charged, Q, or the center of the a spherical charge.

What is the r?' distance formula?

This can be calculated using the distance formula: (x0)2+(y0)2=x2+y2. If and only if x2+y2=r, or if we squaring both sides: x2+y2=r2, is a point (x,y) at a distance from the origin. This is the formula for the r-radius circle centered at the.

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when a star travels from a position above the observer's horizon to a position below the observer's horizon, is that star rising or setting?

Answers

When a star travels from a position above the observer's horizon to a position below the observer's horizon, the star is setting. As the star's position changes relative to the observer, its angular altitude changes as well. When the star's angular altitude reaches 0°, it is said to be at the horizon, and when its angular altitude decreases below 0°, it is said to have set.

The setting of a star occurs when the star's light takes longer to reach the observer than the rotation of the Earth. This is because, as the Earth rotates, the star moves in relation to the observer and its light is blocked by the Earth. As the star moves out of the observer's line of sight, its angular altitude drops below 0° and it is said to have set.

The setting of a star can be observed in the night sky. As the star moves closer to the horizon, its angular altitude decreases and its light appears dimmer. Eventually, when the star is below the horizon, it will no longer be visible in the night sky. This phenomenon is known as astronomical twilight.

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a. jack and jill ran up a hill. jack is twice as massive as jill; yet jill ascends the same distance in half the time. who did the most work?

Answers

Power is the rate of energy conversion or transmission over time in physics. The SI system, often known as the International System of Units, uses the Watt as its unit of power (W).

One watt is equal to one joule per second. In certain studies, power used to be referred to as activity. Power is a scalar quantity. Power is always a function of work completed, therefore if a person's output changes during the day based on the time of day, so will his power.

Power is a numerical representation of the speed at which energy is transported. It may thus be defined as the rate of task completion in relation to time.

So The Jack went further.As a result, Jack put in more effort than Jill, but Jill is just as powerful as Jack.

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a 10kg box has u of 0.4 with surface if the box accelerates at 1.08 m\s^2 what was the applied force

Answers

Answer:

The distance from Jerusalem to Galilee is approximately 150 km depending on the route you take. You can get a bus from Jerusalem's central bus station to Tiberias, on the edge of the Sea of Galilee. The journey takes about 2-3 hours.Sep 4, 2019

to steer your vehicle straight ahead, you should make small steering corrections, using both hands and:

Answers

Do steering corrections as look far ahead, target the center of your lane and move the wheel and hands together.

Why steering corrections is important?

Steering corrections is a technique used by drivers to adjust the direction of their vehicle. It involves small corrections made to the steering wheel to ensure the vehicle is travelling in the intended direction. Steering corrections are important because they help to keep a car stable and on track while driving. Making small corrections while driving can help to avoid an accident, while driving in a straight line. Steering corrections also help to keep the car balanced and help to reduce the wear and tear on the tires. Steering corrections can also help to increase fuel efficiency as they help to keep the car in the most efficient driving line.

When steering straight ahead, it is important to look far ahead and target the center of your lane. This will help you anticipate any changes in direction that you may need to make. Moving the wheel and hands together will help you maintain control of the vehicle and keep it in the center of the lane.

Therefore, look far ahead, target the center of your lane and move the wheel and hands together.

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a pilot flew a jet from city a to city b, a distance of 2100 mi. on the return trip, the average speed was 20% faster than the outbound speed. the round-trip took 3 h 30 min. what was the speed from city a to city b

Answers

The cruising velocity was 20% higher on the trip home than it was on the outward trip. The distance of 506 miles between cities a and b was traveled in 3 hours, 30 minutes.

Outbound data: What is it?

The process of extracting data from such a message to produce data objects is described in the outgoing Data section. Each message type has its own definition. For HL7, static, or delimited messages, the Data part is necessary.

Is outbound more advantageous than inbound?

The cost savings of inbound marketing over outbound marketing is one of its main advantages. 80% of company decision makers indicate they would prefer to receive information about an organization into a series of blogs rather than through outbound calls, while inbound leads were demonstrated to cost roughly 60% less than massive machine - type communications.

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Starting from rest, a particle moves along an axis from point A to point B with constant acceleration a = 2.20 m/2 through
displacement d = 500 m. Then it moves at constant acceleration a through displacement dz = 300 m from point B to point C. If the
total time is 60.0 s, what is the value of a2?

Answers

The value of constant acceleration (a2) is 3.6m/s2 when a particle moves at constant acceleration a through displacement d2 = 300 m from point B to point C.

Given the constant acceleration of a particle (a1) = 2.2m/s2

The displacement of particle from point A to B on x axis is (d) = 500m

The next displacement of particle from point B to C (d2) = 300m

The total time taken (t) =60s

Let the acceleration from point B to C = a2

Initially the particle is at rest so u = 0m/s

The time to travel from point A to B = t1

We know that from Newtons laws of motion s = ut + 1/2at2 such that:

d1 = ut1 + 1/2a1t12

500 = 0 + 1/2 x 2.2 x t^2

t = √1000/2.2 = 21.31s

The final velocity at point B = v

v = u + a1t1

v = 2.2 x 21.31 = 46.88m/s

The final velocity at point B becomes initial velocity to travel from B to C.

The remaining time (t2) = 60 - 21.31 = 38.69s

The final velocity at point C = 0m/s

so, v^2 = u^2 + 2xa2xd2

-46.88 x 46.88 = 2 x a2 x 300

a2 = -3.6m/s^2

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The mass of cube is 0.44kg
(c) On the Moon, the weight of the cube is 0.70 N. Calculate the gravitational field strength on the Moon.​

Answers

Answer:

the gravitational field strength on the moon is 28 m/s^2.

Explanation:

The weight of an object is given by the product of its mass and the gravitational field strength at its location. Therefore, we can use the weight of the cube on the moon and its mass to find the gravitational field strength on the moon.

We know that the weight of the cube on the moon is 0.70 N. We can also use the formula for weight, which is:

Weight = Mass x gravitational field strength

Let's call the gravitational field strength on the moon "g_moon". We can write the equation as:

0.70 N = mass of cube x g_moon

We also know the mass of the cube is 0.025 kg.

Substituting this value into the equation, we get:

0.70 N = 0.025 kg x g_moon

Solving for g_moon, we get:

g_moon = 0.70 N / 0.025 kg

g_moon = 28 m/s^2

Therefore, the gravitational field strength on the moon is 28 m/s^2.

Other Questions
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