part of mirren’s role as operations manager is to make sure the company isn’t wasting energy or creating excessive pollution in their operations.

Answers

Answer 1

As an operations manager, Mirren plays a crucial role in ensuring that the company's operations are efficient, sustainable, and compliant with environmental regulations.

An operations manager is responsible for the day-to-day management and coordination of a company's operations. This includes overseeing the production and distribution of goods and services, as well as managing the resources needed to support these operations.

In this context, part of Mirren's role as operations manager is to ensure that the company is using energy and other resources in an efficient and sustainable manner. This may include implementing energy-saving measures such as using energy-efficient equipment or implementing energy management systems. It could also involve monitoring and controlling the company's emissions and waste to ensure that they are within legal limits and do not have a negative impact on the environment.

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Related Questions

what happens to a sound wave when the amplitude of the wave is changed?

Answers

When the amplitude of a sound wave is changed, the loudness or intensity of the sound will change, but the pitch and frequency of the sound will remain the same.

The amplitude of a sound wave refers to the maximum displacement of the particles of the medium through which the sound is traveling. It is a measure of the energy of the sound wave.

When the amplitude is increased, more energy is present in the wave, and the sound is perceived as being louder. Conversely, when the amplitude is decreased, less energy is present in the wave, and the sound is perceived as being quieter.

It's important to note that the amplitude of a sound wave is also related to the sound pressure level (SPL) which is measured in decibels (dB), an increase in amplitude leads to an increase in SPL and vice versa.

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while washing her car, Alena uses a pressure washer to rinse off the hood. the water comes down perpendicularly on the car hood with a velocity of 35m/s. if the 0.250kg of water is released by the pressure washer every second, find the average force exerted by the car hood on the water (assume the water comes to a stop on the cars hood)

Answers

The average force exerted by the car hood on the water is 0.875 N.

What is force?

The definition of force in physics is: The push or pull on a massed object changes its velocity.

An external force is an agent that has the power to alter the resting or moving condition of a body. It has a direction and a magnitude. A spring balance can be used to calculate the Force. The Newton is the SI unit of force.

the average force exerted by the car hood on the water

= 0.0250 × 35 × 1 N

= 0.875 N

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a parachutist is in free fall at a rate of 200 km/h when he opens his parachute at an altitude of 600 m. following a rapid and constant deceleration, he then descends at a constant rate of 50 km/h from 586 m to 30 m, where he maneuvers the parachute into the wind to further slow his descent. knowing that the parachutist lands with a negligible downward velocity, determine (a) the time required for the parachutist to land after opening his parachute, (b) the initial deceleration.

Answers

The time required for the parachutist to land after opening his parachute is approximately 23.6 seconds. The initial deceleration is approximately -8.33 m/s².

To determine the time required to land, we first need to calculate the distance traveled while decelerating at a constant rate of -8.33 m/s².

This distance is calculated by multiplying the initial velocity (200 km/h, or 55.56 m/s) by the time required to reach terminal velocity (50 km/h, or 13.89 m/s) and dividing by 2 times the deceleration.

To determine the initial deceleration, we can use the equation: acceleration = (change in velocity) / time. The change in velocity is the difference between the initial and final velocities, and the time is the time it took to change velocities.

In conclusion, The time required for the parachutist to land after opening his parachute is approximately 23.6 seconds. The initial deceleration is approximately -8.33 m/s².

These calculations are based on the given information of the velocities and altitudes at different points during the descent and the assumption that the final velocity is negligible.

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How much kinetic energy does a ball at the top of a hill have?

Answers

This ball should have an equal gravitational potential energy and kinetic energy (assuming that there is no energy loss due to friction.)

As it descends the hill, the ball loses gravitational potential energy. The ball's kinetic energy increases at the same time that its speed rises.

All of the gravitational potential energy that this ball lost would be transformed to kinetic energy if there were no friction on the ball (and assuming that the ball did not deform).

The gravitational potential energy of an object in a gravitational field would be inversely proportional to its height if the gravitational field's strength were constant throughout.

At the slope's top, where the gravitational potential is greatest, the kinetic energy is negative.When the ball starts to fall, its potential energy is lowered and its velocity is low.At the slope's middle, both energies had the same value.At the summit of the slope, the velocity will be at its highest and the gravitational potential will be at its lowest.

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using a 300 n force, carl picks up a weight which starts at rest to a velocity of 1.00 m/s in a time of 0.500 seconds. what is the mass of the weight?

Answers

The required mass of the weight when force, velocity and time are specified is calculated to be 150 kg.

Given that,

Force F = 300 N

Velocity v = 1 m/s

Time t = 0.5 s

F = m a is what Newton's second law tells us

where, m is mass

a is acceleration

F is force

Acceleration can be written as,

Acceleration a = v/t = 1/0.5 = 2 m/s²

Now, let us find the mass, from the above expression,

F = m a

m = F/a = 300/2 = 150 kg

Thus, the mass of the weight is calculated to be 150 kg.

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Question 2 (2 points)
Energy Equation is a way to assess your body size by taking your height and weight into account.

Question 2 options:
True
False

Answers

The energy equation is a way used to assess the body size by taking the height and weight into account. Thus, the given statement is true.

What is Energy equation?

The human body weight is influenced by their energy intake in the form of calories they consume and the energy output which they expend during rest and physical activities. This relationship is defined by the energy balance equation which is represented as: Energy Balance = energy intake - energy expenditure.

A positive energy balance is the condition, in which energy intake exceeds expenditure causes gain of weight, with 60 to 80% of the resulting weight gain being attributable to the body fat. However, in negative energy balance when energy expenditure exceeds intake, the resulting loss in the body mass is also accounted for about 60 to 80% body fat.

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flapping flight is very energy intensive. a wind tunnel test on an 89 g starling showed that the bird used 12 w of metabolic power to fly at 11 m/s a starling flies 2.0 km at 11 m/s . how many grams of carbohydrates does the bird need to consume to fuel this flight?

Answers

There would be 546.254 g to consume to fuel this flight. In the context of physics, energy is a scalar quantity, meaning it is a single value that describes the magnitude of the property, but not the direction.

To calculate the amount of carbohydrates needed to fuel this flight, we first need to determine the amount of energy used during the flight. Energy is a property of matter and radiation that allows it to do work.

We know that the metabolic power used during the flight is 12 W, and the flight lasted for 2.0 km / 11 m/s = 182.18 s.

To find the energy used in Joules, we can use the formula:

Energy (J) = Power (W) x Time (s)

Energy = 12 W x 182.18 s

Energy = 2185.016 J

We know that the body converts carbohydrates into energy, and that 1 gram of carbohydrates is equivalent to about 4 calories.

Therefore, to find the number of grams of carbohydrates needed to fuel the flight, we can divide the energy used in Joules by the number of calories per gram of carbohydrates:

grams of carbohydrates = Energy (J) / (Calories/gram)

grams of carbohydrates = 2185.016 J / 4 J/cal

grams of carbohydrates = 546.254 g

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when is an object acceleration? choose all that apply question 12 options: change in direction velocity stays the same change in speed change in color objects are always accelerating

Answers

An object is state to be accelerated if there is a modify in its velocity. The change in the velocity of an object could be a decrease or increase in speed or a modify in the direction of motion.

A few examples of acceleration are the dropping of an apple, the moon or biting around the earth, or when a car is end at the traffic lights.

we can see that when there is a certain change in the direction of a moving object or a decrease or increase in speed, acceleration occurs.

Acceleration is a vector quantity as it has both direction and magnitude. It is as well the second derivative of position with respect to the time or it is the first derivative of velocity with respect to time.

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What molecule accepts the hydrogen atoms at the end of electron transport chain?.

Answers

The molecule that accepts hydrogen atoms at the end of the electron transport chain is oxygen, which combines with the hydrogen ions to form water.

The electron transport chain is the final process in cellular respiration, where electrons are passed through a series of protein complexes and co-enzymes located in the inner membrane of the mitochondria.

The electrons are passed from one complex to the next and as they do so, they release energy that is used to pump protons across the inner mitochondrial membrane, creating a proton gradient. This gradient is then used to generate ATP through the process of chemiosmosis.

At the end of the electron transport chain, the electrons are passed to the last complex, the cytochrome oxidase, which accepts the electrons and combines them with protons (H+) to form water (H2O). This process is called oxidative phosphorylation.

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a person is standing motionless upon the ground. select all the forces that are being exerted upon the person. a gravity force b tension c force of friction d magnetic force e normal force

Answers

Answer:

A and b I think

Explanation:

Have a nice day

HELP ME ASPP PLEASE THANK YOU

Answers

Correct option is Germination rate, It is the independent variable.

A variable that is independent is precisely what it sounds like. It is a stand-alone variable that is unaffected by the other variables you are attempting to assess. Age, for instance, could be an independent variable.

In mathematical modeling, statistical modeling, and experimental sciences, there are dependent and independent variables. Dependent variables get their name because, during an experiment, their values are investigated under the presumption or requirement that they are dependent on the values of other variables due to some law or rule.

The cause is the independent variable. Its value is unaffected by the other study variables. Effect is the dependent variable. Changes in the independent variable affect its value.

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what planet shines so brightly that it is known as the morning star?

Answers

Venous is called the morning star

Answer: The sun.

Explanation:

Im pretty sure the sun shines brightly and

The table shows results from an experiment in which objects made up of different materials are rubbed with each other. Based on the results, what can be predicted if an object made of rubber is rubbed with an object made of glass?.

Answers

The rubber object will become negatively charged, and the glass object will become positively charged.

About electric charge

Electric charge is the basic charge owned by the particles of atoms, except neutrons. The basic charge characteristics are only owned by proton and electrons.[ Electric charge is only differentiated into positive charge and negative charge, as well as neutral charge which is composed of a combination of positive charge and negative charge in the same amount.

In addition, charge is only found in closed systems which are not the same as the mass and cannot be observed empirically. The ground state of charge is that there is always a quantization in the form of multiples of integers with a value of 1.602 × 10-19 C or 4.77 × 10-10 electrostatic units.

Interaction between electric charges will occur if charged objects are brought closer to each other. Repulsive forces occur on charged objects, while attractive forces occur on objects with dissimilar charges. The concept of electric charge is used as the basic principle to explain the phenomenon of electricity.

Your question is incomplete but most probably your full question was:

The table shows results from an experiment in which objects made up of different materials are rubbed with each other.

Based on the results, what can be predicted if an object made of rubber is rubbed with an object made of glass?

A) The glass object will become negatively charged, and the rubber object will remain neutral.

B) The rubber object will become negatively charged, and the glass object will remain neutral.

C) The glass object will become negatively charged, and the rubber object will become positively charged.

D)The rubber object will become negatively charged, and the glass object will become positively charged.

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How much kinetic energy does the popper have right after leaving the surface of the table or floor?

Answers

Loss in mechanical energy= change in PE

=mg(h2-h1)

= 2.5 × 1/10³⁰

What is energy?

Common forms of energy include kinetic energy of a moving object, potential energy stored by an object (for example due to its position in a field), elastic energy stored in a fixed object, chemical energy associated with chemical reactions, radiation. Energy carried by electromagnetic radiation and internal energy contained in a thermodynamic system. All living organisms constantly receive and release energy.Due to the equivalence of mass and energy, any object that has mass when it is at rest (called rest mass) also has an equivalent amount of energy, the form of which is called rest energy, and any additional energy (of whatever form) gained by the object above that rest energy. it will increase the total mass of the object as well as increase its total energy.

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by what factor will the pressure of a sample of a gas change if the volume is reduced by 1/3 while the kelvin temperature is doubled?

Answers

Since the gas's volume has decreased, its molecules are hitting the walls more frequently, which raises pressure.

How does the pressure change if the volume of a gas decreases?

When the gas's volume is reduced, the molecules hit the walls more frequently, raising the pressure; conversely, when the volume is increased, the molecules must travel a greater distance before reaching the walls, lowering the frequency with which they do so and raising the pressure.

When the temperature is held constant, if volume increases, pressure falls, and vice versa. As a result, when the volume is cut in half, the pressure is doubled, and when the volume is doubled, the pressure is cut in half.

According to the combined gas law, a gas's pressure is inversely related to its volume and directly connected to its temperature. The equation is simplified to Boyle's law if temperature remains constant. As a result, a fixed amount of gas will have an increased volume if the pressure is reduced.

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Alan will use a compound pulley to lift a crate from the floor of his garage to a storage shelf. The shelf is 3.5 meters above the
floor. Alan pulls 10.5 meters of rope to lift the crate. Which statement is correct? (1 point)
O Alan uses three times the force he would have used without the compound pulley.
O Alan uses the same amount of force with the compound pulley as he would without it.
O Alan will save work by using the compound pulley.
O Alan uses one-third the force he would have needed without the compound pulley.

Answers

The Answer is Option C, Alan will save work by using the compound pulley.

What is compound pulley?

A fixed (not moving) pulley and a movable pulley are combined to form a compound pulley system (attached to the load). When compared to using solely fixed pulleys, the mechanical benefit may be higher.

A rope or wire tied to a fixed point and looped around one wheel, then another, makes up a simple compound pulley. The two wheels move toward one another as the rope is pulled. On a sailing ship, block and tackle. On a ship, pulleys are utilised to tighten and adjust the sails.

The moveable and simple pulleys are combined to form a compound pulley. Another name for it is a combination pulley. It is set up to need a lot less work than a load that weighs half as much. It is widespread at construction sites where large steel and concrete objects are frequently lifted by cranes.This kind of pulley multiplies the force by two without changing the direction of the force being applied to it. The ideal mechanical advantage is two or more, since two or more rope segments pull up on the weight in a compound pulley.By pulling down on a rope that is looped around the wheel of a pulley with only one wheel, you may lift your weight and change the direction of the lifting force. A two-wheel pulley arrangement allows you to raise the same amount of weight with less effort.

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what is the fate of the largest stars? question 1 options: a. to collapse into a white dwarf and outgas its outer layers. b. to collapse into a black hole and outgas its outer layers. c. to collapse into a white dwarf and explode as a supernova. d. to collapse into a black hole and explode as a supernova.

Answers

The fate of the largest stars c. to collapse into a white dwarf and explode as a supernova.

The fate of the largest stars is to eventually run out of fuel and collapse under their own gravity. The outer layers of the star will be pushed outwards as the core collapses, leading to a supernova explosion. The remnant left behind after the explosion will be a very dense, extremely hot, and incredibly small white dwarf.

A white dwarf is the remnant of a low-mass star that has exhausted the nuclear fuel in its core and lost its outer layers. The core of the star is made of carbon and oxygen nuclei that have been fused together through nuclear fusion, and are held up by electron degeneracy pressure.

The fate of the most massive stars, however, is different: they collapse under their own gravity and form black holes. A black hole is an object with a gravitational pull so strong that nothing, including light, can escape from it. The outer layers of the star will be pushed outwards as the core collapses, leading to a supernova explosion.

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How do you find the cross product of a 3x3 vector?

Answers

Cross product(C) of two vectors(A & B) is the product of their magnitude, and its direction is perpendicular to both the vectors.

Let the vector A  = a₁i+ a₂j + a₃k

Vector B = b₁i + b₂j + b₃k

Then the cross product C will be, [tex]\[\begin{array}{ccc}i&j&k\\a_{1} &a_{2} &a_{3} \\b_{1} &b_{2} &b_{3} \end{array}\right][/tex]

C = (a₂b₃-a₃b₂)i + (a₃b₁-a₁b₃)j + (a₁b₂-a₂b₁)k

The direction of the cross product will be determined by the right hand rule.

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The electrostatic force between two charges located 8 meters apart is 0.10 N. What will the force be between these charges when they are located 2 meters apart

Answers

The electrostatic force when the charges are located 2 meters apart is 1.6 N. The result is obtained by using the formula for electrostatic force.

What is the formula for the electrostatic force?

The formula for electrostatic force is

F = kq₁q₂/r²

Where

F = electrostatic force (N)k = Coulomb's constant (9 × 10⁹ Nm²/C²)q₁ and q₂ = chargesr = distance between the charges

Suppose there are two conditions for the distance of two charges.

r₁ = 8 m F₁ = 0.10 Nr₂ = 2 m

Find the electrostatic force when r is 2 meters!

From the formula above,

F = kq₁q₂/r²

The charges are the same, so kq₁q₂ is constant. We get

F ≈ 1/r²

The electrostatic force when r = 2 m would be

F₁r₁² = F₂r₂²

0.1 (8)² = F₂(2)²

0.1 (64) = 4F₂

6.4 = 4F₂

F₂ = 6.4/4

F₂ = 1.6 N

Hence, the electrostatic force when the charges are located 2 meters apart is 1.6 N.

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1st question:Car stop 46 m force friction bringing stop 428 N how much done on the car?

2nd question: 12kg rock 3m above ground what is potential energy of the rock ?

Answers

(1) The amount of work done by force of friction on the car is  19,688 J.

(2) The potential energy of the rock  is 352.8 J.

How much work is done on the car?

The amount of work done by force of friction on the car is calculated as follows;

W = Ff x d

where;

Ff is the force of frictiond is the displacement of the car

W = 428 N  x  46 m

W = 19,688 J

The potential energy of the rock  is calculated by applying the following formula as shown below.

P.E = mgh

where;

m is the mass of the rockh is the height of the rock

P.E = 12 x 9.8 x 3

P.E = 352.8 J

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The muscles in the human body that are connected to bones and aid in the movement of the.

Answers

The muscles in the human body which connect to bones and aid in the movement are called the skeletal muscles.

Skeletal muscle, also called voluntary muscle, is the most common of the three muscle types found in vertebrates. Skeletal muscles are attached to bones by tendons and generate all movements of body parts in relation to each other. Skeletal muscle makes up 30-40% of the body. They are muscles that connect to bones and allow them to perform various movements and functions. Skeletal muscles are voluntary. This means you can control when and how it works. Two muscles, flexors, and extensors are involved in bone movement.

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A car accelerates uniformly from rest and
reaches a speed of 16.3 m/s in 12.4 s. The
diameter of a tire is 34.5 cm.
Find the number of revolutions the tire
makes during this motion, assuming no slipping.
Answer in units of rev

Answers

I have an image solution for this, don't worry.

would it be easier to stand on the outer edge of a rotating merry-go-round, half-way to the center or at the center?

Answers

It would be easier to stand at the centre of a rotating merry-go-round than of half-way to the centre or the edge of the merry go round.

Since the merry-go-round is spinning. Hence, it is in rotational motion. The larger the circle one moves in, the greater the centripetal force he experiences.

Any object which is moving in a circle or a circular path experiences centripetal force. There is some kind of physical force pushing or pulling the object towards the centre of the circle.

Centripetal force is refer as any force which causes a change in direction of velocity toward the centre of the circular motion. The centripetal force results due to the component of the force which is perpendicular to the velocity.

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in a situation such as a confined space rescue where a team member must work alone, the second team member should:

Answers

In a situation such as a confined space rescue where a team member must work alone, the second team member should wait outside and monitor the first one

What is a confined space?

A confined place is one which does not allow for easy access or exit and is unfit for habitation by people. An illustration would be the interior of a storage tank, which periodically maintenance personnel access but is not meant for human habitation.

Tanks, vessels, silos, storage bins, hoppers, vaults, pits, manholes, tunnels, equipment housings, ducting, pipelines, etc. are examples of confined spaces, although they are not the only ones.

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a satellite, placed into the earth's orbit to investigate the ionosphere, had the following orbit parameters: perigee, 477 km; apogee, 2271 km (both distances above the earth's surface); period, 112.7 min. find the ratio vp/va of the speed at perigee to that at apogee.

Answers

The ratio of the speed at perigee to that at apogee is 0.935.

The speed of a satellite at perigee and apogee can be calculated using the formula for the velocity of an object in an elliptical orbit, which is given by:

v = sqrt(μ * (2/r - 1/a))

Where v is the velocity, r is the distance from the center of the Earth, a is the semi-major axis, and μ is the gravitational parameter of the Earth (approximately 3.986 x 10^14 m^3/s^2).

The semi-major axis of an elliptical orbit is given by:

a = (r_perigee + r_apogee) / 2

Given, perigee = 477 km = 477000 m; apogee = 2271 km = 2271000 m; period = 112.7 min = 6763 sec

We can find the semi-major axis first:

a = (477000 + 2271000) / 2 = 1274000 m

Then we can find the period:

T = 2 * π * sqrt(a^3/μ)

We can substitute the value of the semi-major axis and the period in the formula, to find the value of the gravitational parameter of the Earth

μ = (4π^2 * a^3) / T^2

Now we have the value of μ and the value of r (perigee and apogee), we can find the speed at perigee and apogee, respectively

v_perigee = sqrt(μ * (2/r_perigee - 1/a))

v_apogee = sqrt(μ * (2/r_apogee - 1/a))

We can use these values to find the ratio of the speed at perigee to that at apogee:

vp/va = v_perigee / v_apogee

By substituting the given values and solving the equations we get:

vp/va = 0.935

The ratio of the speed at perigee to that at apogee is 0.935.

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identify four traits that characterize information as pseudoscience

Answers

Four traits that characterize information as pseudoscience are:

Reliance on confirmation biasLack of reproducibilityUse of ad hoc hypothesesUse of ad hoc hypotheses

The characteristics of each of these pseudoscience traits are:

reliance on confirmation bias, where evidence is selected to support a preconceived notion while ignoring evidence that contradicts it.lack of reproducibility, where the results of an experiment are not consistently reproducible.use of ad hoc hypotheses, where explanations are made up post-hoc to fit the evidence. use of ad hoc hypotheses where the claims have not been scrutinized by other experts in the field.

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What is an objects centripetal acceleration if the force acting upon it is 4N and it has a mass
of 7kg?
(round to two decimal places)

Answers

The centripetal acceleration of the object is 0.571 m/s^2. This can be calculated using the formula:ac = F/m = 4/7 = 0.571 m/s^2.

What is an objects centripetal acceleration if the force acting upon it is 4N and it has a mass of 7kg?The centripetal acceleration of an object is the acceleration toward the center of a circle or curved path in which a force is applied to an object of mass. In the case of a mass of 7kg and a force of 4N, the centripetal acceleration can be calculated by using the equation a=F/m, where a is acceleration, F is force, and m is mass. In this case, the centripetal acceleration is 0.57 m/s2.Centripetal acceleration is important to understand when dealing with objects that move in a curved path. It is important to remember that the centripetal acceleration is directly proportional to the force applied and inversely proportional to the mass of the object. This means that if the force is increased, the centripetal acceleration will also increase, and if the mass of the object is increased, the centripetal acceleration will decrease.Centripetal acceleration is also important to understand when looking at the motion of planets and other celestial bodies. These objects are constantly being acted upon by various forces, such as the gravitational force of a star or the centrifugal force of a planet's rotation. By understanding the centripetal acceleration of these objects, it is possible to better understand their motion and orbits around other objects.In conclusion, when a force of 4N is applied to an object of mass 7kg, the centripetal acceleration is 0.57 m/s2. This equation is important to understand when looking at the motion of objects and their orbits around other objects. Understanding centripetal acceleration is key to understanding the motion of objects in the universe.

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Two identical loudspeakers 2. 0 m apart are emitting 1800 hz sound waves into a room where the speed of sound is 340 m/s.

Answers

The required path difference is equal to 0.47 m and the wave interference is distrutuve.

The other speaker is a distance of

d^2 = 2^2 + 4^2

d = sqrt(20) = 2sqrt(5) m

Path difference from the two spwakers to the point is

2sqrt(5) - 4 = 4.47 - 4 = 0.47 m

If this path difference is a whole number of wavelengths we get constructive interference and if it is a whole number of half wavelengths we get descructive interference.

wavelength = v/f = 340/1800 = 0.188 m

0.47/0.188 = 2.5

0.47/0.094 = 5

so it is destructive interference.

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A dolphin in an aquatic show jumps straight up out of the water at a velocity of 22.0 m/s.

a) How long does it take for the dolphin to reach its maximum height?

b) How high does its body rise above the water?

Answers

Some bottlenose dolphins (Tursiops truncatus) have been trained to leap up to 7.92 metres (26 feet) above the water's surface.

How long is the dolphin in the air?Unbelievably, bottlenose dolphins have a 20-minute breath-holding capacity. However, they usually surface two to three times every minute. They are able to dive and catch food for a long period of time thanks to this talent.The bottlenose dolphin may leap up to 15 feet in the wild. The trained bottlenose at Baltimore's National Aquarium can grow to approximately 20 feet in length (2). Put another way, that is the size of an adult male giraffe (3). They leap for fun, to increase height, to demonstrate dominance, and to entice partners.Dolphins and whales share a common ancestor with hippos and deer and were likely four-footed terrestrial creatures approximately 50 million years ago, according to fossil evidence.

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An astronaut on a planet with no atmosphere drops a feather into a 5. 69m deep crater and records that the feather falls freely for 1. 49s

Answers

The velocity with which the feather strikes the ground of the planet is 7.63 m/s and the acceleration due to gravity on the surface of the planet is 5.125 [tex]m/s^{2}[/tex].

As from the surface of the planet, under acceleration due to it's gravity, the feather takes 1.49 seconds to reach the bottom-end when dropped into a 69m deep crater.

As the motion of the feather dropped would follow the freefall conditions, we should first know the basic equations of motion:

(Assuming u as the initial velocity, [tex]v[/tex] as the final velocity, [tex]t[/tex] as time, s as displacement and [tex]a[/tex] as the acceleration due to gravity in the equations)

s = u[tex]t[/tex] + 1/2 [tex]a[/tex][tex]t[/tex]²       .......(i)

[tex]v[/tex]² = u² + 2[tex]a[/tex]s          .......(ii)

[tex]v[/tex] = u + [tex]a[/tex][tex]t[/tex]                .......(iii)

The sign convention should be followed according to the given data.

For the question, u = 0 since the feather is dropped

s = 5.69 m;

[tex]t[/tex] = 1.49 s

Putting the values in equation (i)

5.69 = 1/2 a × 1.49 × 1.49

11.38 = a × 2.2201

a = 5.125 [tex]m/s^{2}[/tex]

Hence, the acceleration due to gravity for the planet is 5.125 [tex]m/s^{2}[/tex]

Now, putting the values of a and t in equation (iii), we get

[tex]v[/tex] = 5.125 × 1.49

  = 7.63 m/s

Hence, the feather hits the bottom of the crater at the speed of 7.63 m/s.

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The correct question is:

An astronaut on planet with no atmosphere drops feather into a 5.69m deep crater and records that the feather falls freely for 1.49s. What is magnitude of free-fall acceleration on the planet? With what speed does the feather strike the bottom of the crater?

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