which type of spring do you choose to most closely reach the targeted launch speed of 12.6 m/s? Show your work and explain your answer using what you know of kinetic energy, elastic potential energy, and conservation of energy.

Answers

Answer 1

A linear spring with a spring constant of 77.2 N/m would be the best choice to most closely reach the targeted launch speed of 12.6 m/s.

Which kind of spring should you use to launch a rocket at 12.6 m/s, your intended launch speed?The type of spring that would most closely reach the targeted launch speed of 12.6 m/s is a linear spring. This is because a linear spring is able to convert stored potential energy into kinetic energy most efficiently. This process relies on the conservation of energy, which states that energy can neither be created nor destroyed, only converted from one form to another. In the case of a linear spring, the elastic potential energy stored in the spring is converted into kinetic energy as the spring compresses and then launches the object.To calculate the spring constant needed to reach the target launch speed, we must first determine the elastic potential energy stored in the spring. This is equal to the spring constant multiplied by the square of the displacement of the spring (E = 1/2 kx^2). We then use this value to calculate the kinetic energy of the object at launch (KE = 1/2 mv^2). Finally, we can use the conservation of energy to solve for the spring constant (k = 2(KE)/x^2). In this case, the mass of the object is 1 kg. The target launch speed is 12.6m/s. Plugging these values into the equation above, we can calculate the spring constant needed to reach the target launch speed:k = 2(1/2 (1) (12.6^2)) / (1^2)k = 77.2 N/mTherefore, a linear spring with a spring constant of 77.2 N/m would be the best choice to most closely reach the targeted launch speed of 12.6 m/s.

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Related Questions

What is the kinetic energy of a ball when it stops moving?
O
1
2
3

Answers

the energy is 0. i hope this helps

What is the scientific definition of energy that relates it to work? The ability to use the stored potential of an objects the ability to use an applied force to make and object move. The ability to use the change in temperature of an object theabiltyvis a joule which is a unit of work. Equal to ?

Answers

''The ability to use an applied force in order to make an object move'' is the  scientific definition of energy that relates it to work.

What is energy in physics?The capacity to exert a force that causes an item to move is what is meant by the definition of energy as the "power to accomplish work." Even if the definition is unclear, the meaning is clear: energy is simply the force that moves things. Potential energy and kinetic energy are the two categories of energy.In physics, energy is the quantitative quality that is transmitted to a body or to a physical system. It is recognised in the execution of work as well as in the form of heat and light (from the Ancient Greek: v, enérgeia, "activity"). Energy is a preserved resource; according to the Law of conservation of energy, energy can only be transformed from one form to another and cannot be generated or destroyed.

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Calculate the orbital velocity of Jupiter's Moon Io. (^M JUPITER = 1.9 E^27 kg, MIO = 8.9 E^22 kg, r = 4.2 E^8 m)

Answers

The orbital velocity of the Jupiter's Moon  is 118.89 m/s.

What is the orbital velocity of the Jupiter?

The orbital velocity of the Jupiter's Moon  is calculated by applying the following orbital velocity formula.

v = √ ( GM / r )

where;

G is the universal gravitation constantM is the mass of the Jupiter's Moon r is the distance of the Moon

The orbital velocity of the Jupiter's Moon  is calculated as follows;

v = √ ( GM / r )

v = √ ( 6.67 x 10⁻¹¹ x 8.9 x 10²²  / 4.2 x 10⁸ )

v = 118.89 m/s

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A man Spins a mass of 5 kg in a vertical Circle with a radius of 250 Cm. Calculate the minimum and the maximum tension in the rope. If the speed of the mass is 12 m/s (= 10 m/s²] ​

Answers

The minimum and the maximum tension in the rope is 708 N.

What is tension?

Tension is an internal force that is created when two forces are pulling in opposite directions. This tension can be physical, mental, or emotional.

The minimum tension in the rope is the centripetal force needed to keep the mass moving in a circular path, which can be calculated using the equation F = mv^2/r. In this case, the minimum tension would be:
F = (5 kg)(10 m/s^2) / 0.25 m = 200 N
The maximum tension in the rope is the sum of the centripetal force and the gravitational force, which can be calculated using the equation F = mg + mv^2/r. In this case, the maximum tension would be:
F = (5 kg)(9.8 m/s^2) + (5 kg)(10 m/s^2) / 0.25 m = 708 N

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24. A student is driving his car for the first time . His car's mass is 1000 Kg and he is traveling at 25m / s Another student pulls out in front of him in his 1500 Kg car going 10m / s The two vehicles collide and stick together (their bumpers get stuck together). How fast are they moving after the collision?

Answers

After the collision, the two vehicles will be moving at a combined speed of 15m/s,fast are they moving after the collision.

What is the collision ?

Collision, in physics, is the action of two or more objects coming into contact with each other. The result of this contact can be anything from a minor stop-and-go jolt to a catastrophic impact that destroys both objects involved. Collisions can occur between two-dimensional objects, such as billiard balls, or between three-dimensional objects, such as cars. A collision can be elastic, in which the objects rebound from each other, or inelastic, in which the objects stick together. The collision can also be perfectly inelastic, in which the objects stick together and move as a single object after the collision. In all cases, the momentum of the objects before the collision is equal to the momentum of the objects after the collision.

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Which of the following is true about electricity and magnetism?

1. The creation of an electric current or magnetic field depends on the movement of electrons.
2. Magnets can induce electric currents only when using the north pole of the magnet.
3. The free flow of protons down a copper wire causes an electric current that can create a magnetic field.
4. Attractive and repulsive forces between charged particles prevent them from creating electric currents or magnetic feilds.

Answers

The creation of an electric current or magnetic field depends on the movement of electrons.

What is Electricity?

Electricity powers a variety of modern devices, including our soldering irons, laptops, lights, and air conditioners. In the contemporary world, it's difficult to avoid it.

Electricity is still at work in nature even when you make an effort to avoid it, from the synapses inside of our bodies to the lightning in thunderstorms.

There is truly no concrete solution to this incredibly complex subject; instead, all that is left are abstract illustrations of how electricity interacts with the world around us.

Therefore, The creation of an electric current or magnetic field depends on the movement of electrons.

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why did i get that wrong

Answers

Answer:

it be the mean i think add them up through 0 -3 and divide by 3

Explanation:

When flying, the pressure inside the cabin of an aircraft is kept at 70 kPa. The aircraft window has an area of 810 cm2 . Use data from Figure 1 to calculate the resultant force acting on an aircraft window when the aircraft is flying at an altitude of 12 km.

Answers

The resultant force acting on an aircraft window  is 5670 Newton when the aircraft is  flying at an altitude of 12 km.

What is pressure?

The force delivered perpendicularly to an object's surface per unit area across which that force is dispersed is known as pressure. The pressure relative to the surrounding air is referred to as gauge pressure.

The pressure applied = 70 kPa = 70000 Pa.

The cross-sectional rea = 810 cm² = 0.081 m².

Hence, the force applied on the window = 70000 Pa × 0.081 m².

= 5670 Newton.

So, the resultant force acting on an aircraft window  is 5670 Newton.

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A radioactive isotopes has a life-life of 15 days and an initial
count-rate is 2000 counts per second. Determine the count-rate after
45 days.
Counts/s

Answers

The activity is a radioactive material is the number of counts per second it produces. 1 count per second (cps) = 1 Becquerel (Bq).

What is radioactive?As its name implies, radioactivity is the act of emitting radiation spontaneously. This is done by an atomic nucleus that, for some reason, is unstable; it "wants" to give up some energy in order to shift to a more stable configuration. During the first half of the twentieth century, much of modern physics was devoted to exploring why this happens, with the result that nuclear decay was fairly well understood by 1960. Too many neutrons in a nucleus lead it to emit a negative beta particle, which changes one of the neutrons into a proton. Too many protons in a nucleus lead it to emit a positron (positively charged electron), changing a proton into a neutron. Too much energy leads a nucleus to emit a gamma ray, which discards great energy without changing any of the particles in the nucleus. Too much mass leads a nucleus to emit an alpha particle, discarding four heavy particles (two protons and two neutrons).

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Calculate the surface gravity on Venus. (MVenus = 4.9 E^24 kg , r = 6.1 E^6 m)

Answers

The surface gravity is the gravitational field strength on Venus which is 8.9 m/s².

What is Gravitational Field Strength ?

G can be defined as gravitational force per unit mass.

To calculate the surface gravity on Venus where

Mass M of the Venus = 4.9 E^24 kg , Radius r = 6.1 E^6 m

The gravitational field strength g = GM/r²

Where G = 6.67 × 10^-11 Nm²/kg

Substitute all the parameters

g = (6.67 × 10^-11 × 4.9 × 10^24)/( 6.1 × 10^6)²

g = 3.3 × 10^14 / 3.72 × 10^13

g = 8.9 m/s²

Therefore,  the surface gravity on Venus is 8.9 m/s²

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a unit of time yr is defined as 365.25 days . how many seconds are there in 1.40yr

Answers

There are  44180640 seconds in 1.40 year .

What is a year?

365 or 366 days, divided into 12 months or 52 weeks, make up the time from 1 January to 31 December, or a year.

1 year equals to 365.25 days

1.40 years equal to (1.40 × 365.25 days)

= 511.35 days.

1 day equals to 24 hours.

1 hour equals to 60 minute.

1 day equals to (24 × 60 × 60) second = 86400 seconds.

511.35 days equals to (511.35 ×  86400 seconds) = 44180640 seconds

So, 1.40 years equal to 44180640 seconds.

Hence, There are  44180640 seconds in 1.40yr .

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Compound A decomposes to form B and C and the reaction is first order. At 25 °C the rate
constant for the reaction is 0.450 s-1. What is the half life of A at 25 °C?​

Answers

The half - life of the compound A is 1.54 sec.

A sample's half-life is the amount of time it takes for half of its unstable nuclei to decay, for its activity to halve, or for its count rate to decrease by half. The number of decays that a detector, like the Geiger-Muller tube, records each second is known as the count-rate.

The amount of time needed for the reactant concentration to drop to half its initial value is known as the half-life of a reaction. A first-order reaction's half-life is a constant that is correlated with its rate constant: t1/2 = 0.693/k.

Given,

rate constant for the reaction is 0.450 s-1.

t 1/2 = 0.693 / k

k = The rate constant

t 1/2 = 0.693 / 0.450s-1

t 1/2 = 1.54 sec.

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7) A battery of emf 8 Volt and internal resistance 2 Ohm is connected to a straight wire of length 20cm, cross-sectional area 3x108m² and its resistivity 4.5×10 2.m. The magnetic flux density at a point which lies at normal distance of 10cm away from the axis of the wire is:​

Answers

The square solenoid has sides of 25 cm and 100 wire turns. The resistance is set to 10 ohms.

Define magnetic flux density ?

The magnetic flux density, also known as magnetic induction, is the number of force lines that pass through a unit area of material, B. The tesla is the magnetic induction unit (T).

Magnetic flux is basically the total magnetic field that passes through an area. It is a useful tool for describing the effects of magnetic force on something in a specific area. Magnetic flux measurement is specific to the area chosen.

Magnetic Flux Density is the amount of magnetic flux passing through a unit area perpendicular to the direction of the magnetic flux. By B=H, Flux Density (B) is related to Magnetic Field (H). It is expressed in Webers per square metre, which is equivalent to Teslas [T].

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Given the following data, determine how long it will take your space ship
to travel from Earth to Mars in years.
Distance from Earth to Sun: 150,000,000 km
Distance from Mars to Sun: 230,000,000 km
Maximum Speed of ship: 3,050 km/hr
365 days/year
24 hours/day

Answers

It will take our ship 3 year to  travel from Earth to Mars if the speed is 3,050 km/hr.

What is speed?

The distance travelled per unit of time is most commonly known as speed. It describes how quickly an object moves. The magnitude of the velocity vector is represented by speed, which is a scalar quantity. It's aimless. A faster moving object has a higher speed. It is moving slower if it has a lower speed. It has no speed if it is not moving at all.

The following formula is used to calculate the constant velocity of an object moving in a straight line:

S = d / t

Distance from Earth to Mars = Distance from Mars to Sun - Distance from Earth to Sun

Distance from Earth to Mars = 230,000,000 km - 150,000,000 km

= 2.3 × 10⁸ - 1.5 × 10⁸

=  (2.3-1.5) × 10⁸

= 0.8 × 10⁸

= 8 × 10⁷ km

Time =  Distance ÷ Speed

Given speed = 3,050 km/hr

Distance = 8 × 10⁷ km

Putting the values,

Time =  80,000,000 ÷ 3,050

Time = 26229.51

24 hours a day, so

26229.51/24

= 1092.9

365 days a year, so

1092.9/365

= 2.99 ≈ 3 years

Thus, It will take our ship 3 year to  travel from Earth to Mars if the speed is 3,050 km/hr.

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A length of clear plastic tubing is bent into a vertical U, as shown in the figure, and two liquids that do not mix are poured into it. Liquid A, with density ρA continues from the left column into the right. Its height is d1 in the left column and d2 in the right column. Liquid B, with density ρB, sits on top of liquid A in the right column. Its height is d3 above liquid A.
Enter an expression for the density of liquid B, in terms of the other defined quantities.

Answers

An expression for the density of liquid B, is ρ₁(d₁ - d₂)/d₃.

What is pressure?

The force delivered perpendicularly to an object's surface per unit area across which that force is dispersed is known as pressure.

The pascal (Pa) is the pressure unit used in SI. A force of one newton applied across a surface area of one meter square is referred to as a pascal.

At equilibrium, the pressure of two tube is same. Use this concept and get:

The  density of liquid B: ρ₂ = ρ₁(d₁ - d₂)/d₃

Hence,  an expression for the density of liquid B, is ρ₁(d₁ - d₂)/d₃.

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2
Global annual land mean precipitation showed a small
upward trend over the twentieth century of approximately
1.1 mm per decade. At this rate, an overall increase of 1
cm in precipitation, starting from today, would take how
long?

Answers

Even in regions where overall precipitation is anticipated to decline, heavy precipitation events will probably become more common.

What is the annual pattern of global precipitation?

The average annual precipitation on Earth is roughly 100 cm (39 inches), yet it is spread quite unevenly. The equatorial zone and Southeast Asia's monsoon region have the highest rainfall rates.

It is predicted that the north will become more rainy, particularly in the winter and spring. The South, particularly the Southwest, is anticipated to get drier. Even in regions where overall precipitation is anticipated to decline, heavy precipitation events will probably become more common.

The amount of evaporation increases with rising surface temperatures (see the U.S. and Global Temperature indicator), which in turn raises the total amount of precipitation. As a result, many places might expect more precipitation as a result of global warming.

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An object with a mass of 33.2 kg moves with a constant velocity of 7.66 m/s for a time of 3.17 seconds. What is the momentum of the object?

Answers

The momentum of the object is  254.31 kg-m/s.

What is momentum?

The product of a particle's mass and velocity is its momentum. Momentum is a vector quantity, meaning it has both magnitude and direction.

According to Isaac Newton's second equation of motion, the force acting on a particle equals the time rate of change of momentum.  SI unit of momentum is kg-m/s.

Mass of the object is = 33.2 kg

Constant velocity of the object  is = 7.66 m/s.

time interval is = 3.17 seconds.

Hence,  the momentum of the object is = mass × velocity

= 33.2 kg × 7.66 m/s.

= 254.31 kg-m/s.

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A boat is traveling in a river that has a current of 6 km/h [W]. If the boat's velocity is 9.5 km/h [E],
what would be the velocity of the boat from the perspective of a stationary observer on the
riverbank.?

Answers

The velocity of the boat from the perspective of a stationary observer on the riverbank is 3.5 km/h east.

What is the relative velocity of the boat?

The relative velocity of the boat from the perspective of a stationary observer on the riverbank is calculated as follows;

Vb/o = Vb +  Vw

So the velocity of the boat from the perspective of a stationary observer is the sum of the boat's velocity and the river's velocity.

Let the east direction = positive direction

Let the west direction = negative direction

Vb/o = 9.5 km/h - 6 km/h

Vb/o = 3.5 km/h

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A can tied to a string has a mass of 2.6 kg and is swung in a circular loop with a radius of 1.5 m at a rate of 60 rpm. Calculate the Centripetal Force of the problem

Answers

The linear velocity of the string is 9.42 m/s. Then the centripetal force acting on the string is 153.8 N.

What is centripetal force ?

Force is an external agent acting on a body to change its motion or to deform it. The force acting on a body which moves across a circular path is called centripetal force.

The centripetal force is related the velocity v and radius of curvature as follows:

Fc = mv²/r

Given angular velocity ω = 60 rpm

linear velocity v = 2πr ω /60 = 2 × 3.14 ×1.5 m×60 /60 = 9.42 m/s

mass = 2.6 kg

Fc = 2.6  kg × (9.42 m/s)² / 1.5 = 153.8 N

Therefore, the centripetal force of the string is 153.8 N.

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14. Using the dimensions given for the variables in the table, determine which one of the following expressions is correct. (d) 2лf=√1/g (b) f= 2лgl (a) f=g/2лl (c) 2лf =√g/l ro 1 (e) f = 2л√gl variable f l g dimension [1/T] [L] [L]/[T]²​

Answers

From the expressions given in the question the correct expression is f = 2л√gl

Algebraic equation

An algebraic equation is an equation that involves one or more variables and uses one or more of the operations of addition, subtraction, multiplication, division, and raising to a power.

In this question,

f = 2л√gl To find an expression for f

we need to use the dimensions of the variables given in the table.

f has a dimension of 1/T,

l has a dimension of L,

and g has a dimension of L/T².

We can use these dimensions to determine the expression for f.

f = 2л√gl To convert the dimensions of f to 1/T,

we multiply the expression by 2л. Thus, the correct expression is:

f = 2л√gl

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collision question
what formula do i use??

Answers

The mass of train B cannot be determined from the given information. The final velocity of the combined trains after the collision depends on the masses of both trains, as well as their initial velocities. The final velocity of the combined trains must be known in order to calculate the mass of train B.

How is the mass of the train calculated?

The mass of Train B can be calculated using the law of conservation of momentum. According to this law, momentum is conserved before and after a collision. This means that the total momentum of the two objects before the collision is equal to the total momentum after the collision.

The momentum of train A before the collision is given by:

P_A = m_A * v_A = (5000 kg) * (10 m/s) = 50000 kg m/s

The momentum of train B before the collision is:

P_B = m_B * v_B = m_B * (2.0 m/s)

After the collision, the two trains lock together and move with a common velocity. The momentum of the combined system is:

P_total = (m_A + m_B) * v_total

where v_total is the velocity of the combined system after the collision.

From the law of conservation of momentum, we have:

P_A + P_B = (m_A + m_B) * v_total

Substituting the values of P_A, P_B and m_A, we get:

m_B * (2.0 m/s) = (5000 kg + m_B) * v_total

Solving for m_B, we get:

m_B = (50000 kg m/s) / (2.0 m/s - v_total)

Since the velocity of the combined system is not known, we cannot calculate the exact value of m_B. However, we can conclude that the mass of Train B must be larger than 5000 kg for the equation to be valid.

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PLEASE HELP ASAP! 100 PTS! 5 QUESTIONS - Pls Show Your Work!!!!

1. Two carts are pushed apart with a spring attached to one of the carts. The carts have masses of 1.2 kg and 2.5 kg. The 2.5 kg cart (Cart B) has a velocity of 1.5 m/s after they spring apart. Find the velocity of the 1.2 kg. cart.


2. An 6,000 kg train car moves at 20.0 m/s until it bumps into a stationary 6,000 kg car and latches onto it. What is the speed of the two cars linked together?


3. A single 1,000 kg train car moving at 5.0 m/s collides with the back of two 1,000 kg train cars linked together. It latches onto the car it strikes as the two parts of the coupled cars exert forces on each other. What is the speed of the cars immediately afterward?


4. A 15.0 kg cart and a 20 kg cart are locked together with a compressed spring between them. They are then released so that the spring pushes the two carts apart. The 20 kg cart is moving at 5.0 m/s afterward. How fast is the 15.0 kg cart moving?


5. A firecracker stuck into a 150 g apple explodes and sends five apple fragments in different directions. The vector sum of momenta 1, 2, 3, and 4 is found from a video of the event to have components px = 1.20 kg m/s, py = 0.80 kg m/s (with no other component). The mass of the fifth fragment is 0.050 kg. What is its velocity right after the explosion?

Answers

The total momentum, both before and after, is (2m)(v/2) = mv, which is equal to the total mass times the velocity of the centre of mass.

How do you find the momentum of two objects after a collision?

The system's centre of mass was at v/2 before to the collision because one automobile was travelling at v and the other at zero before the collision. Because the total momentum is equal to the total mass times the velocity of the centre of mass, the total momentum before and after equals (2m)(v/2) = mv.

K.E1 = 1/2 m1u21 + 1/2 m2u22 is the kinetic energy of the masses prior to contact. The collision's kinetic energy, however, is given by K.E2 = 1/2 (m1 + m2) v2. However, in accordance with the rule of energy conservation: 1/2 m1u21 + 1/2 m2u22 = 1/2 (m1+ m2) v2 + Q.

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which measurement has five significant figures.

Answers

Answer:

Option D

Explanation:

11,890

Hope this helps

on your own, try to think of two different ways to represent the motion of the car that show how its speed is behaving during the three segments of the short trip described on the previous page. You might want to use pictures math symbols, charts, diagrams, graphs, equations, arrows. sketch your representations below

Answers

The motion of a car can simply be described by measuring the distance and time to calculate the speed.

What is the motion?

The phenomenon of an object changing its position with respect to time is known as motion in physics. In mathematics, displacement, distance, velocity, acceleration, and speed are used to describe motion.

By calculating the speed from measurements of the distance and time, one can describe the motion of a car. You must first establish the location (position) and direction of the car in order to calculate the distance it traveled. It is necessary to choose a reference point from which to measure distances

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How much force required to displace a body through 50cm by doing 25J work on it.​

Answers

Answer:

50 N

Explanation:

W = Fd

F = W/d

first convert cm → m:  50 cm x 1 m/cm = 0.50 m

F = (25 J) / (0.50 m) = 50 N

Room has a sensible heat gain of 4000 btu per hr is to be maintained at 78F when the outside temp is 93F. The temp of the air entering the room is to be 68F. Determine the number of pounds of fresh air per minute that must be used if 75% of the total air is recirculated.

Answers

BTU = Flow Rate In GPM (of water) x (Temperature Leaving Process - Temperature Entering Process) x 500.4*Formula changes with fluids others than straight water.

What is sensible heat?

Sensible heat is the type of heat that causes a change in temperature when you heat or cool an object. For instance, when you heat an ice cube, its temperature will start to rise until it reaches 0 °C, at which time it will begin to melt.

Similar to this, when we heat water from room temperature, it gets hotter and hotter until it begins to boil. Sensible heat is the heat that causes a change in temperature. In other words, the sensation you have is heat.

Latent heat, in contrast, is a type of heat that solely affects phase transitions. Use our latent heat calculator to learn more. The equation for sensible heat is:

=Q=mc p (T f −Ti )

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The arm of a crane at a construction site is 20.0 m long, and it makes an angle of 12.2° with the horizontal. Assume that the maximum load the crane can handle is limited by the amount of torque the load produces around the base of the arm.

(Pt. 1/2) What maximum torque can the crane withstand if the maximum load the crane can handle is 752 N?
Answer in units of N · m.

(Pt. 2/2) What is the maximum load for this crane at
an angle of 30.0° with the horizontal?
Answer in units of N.

Answers

The maximum torque the crane can withstand is 3.17 x 10³N·m..

The maximum load for the crane is 3.265 x 10⁴ N.

How to find maximum torque and load?

To find the maximum torque the crane can withstand, we need to use the formula torque = force x distance x sin(angle). Given the force (752 N) and the angle (12.2°), and the distance can be calculated as the length of the arm (20.0 m). So, torque = 752 N x 20.0 m x sin(12.2°) = -5.388 x 10³N·m.

To find the maximum load the crane can handle at an angle of 30.0°, we need to use the same formula, but with the new angle. Using the torque found in part 1 and the angle to find the force. Max load= force x distance x sin(angle), so force = torque / (distance x sin(angle)) = 752 x -5.388 x 10³ x sin(30.0) = 3.265 x 10⁴ N.

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A figure skater begins spinning counterclock-
wise at an angular speed of 3.9 π rad/s. Dur-
ing a 4.6 s interval, she slowly pulls her arms
inward and finally spins at 8.2 π rad/s.
What is her average angular acceleration
during this time interval?
Answer in units of rad/s2².

Answers

4.6 rad/s² is her average angular acceleration during this time interval.

What is her average angular acceleration?

Average angular acceleration is calculated using the equation a = change in velocity divided by change in time. a=(w2−w1)/(t2−t1) a = (w 2 − w 1) / (t 2 − t 1) . The ultimate velocity, expressed in radians per second, is represented by w2.

The change in velocity during that specific timeframe is referred to as the average acceleration. In contrast to acceleration, average acceleration is determined for a certain timeframe.

wise at an angular speed of 3.9 π rad/s. Dur-

ing a 4.6 s interval, she slowly pulls her arms

inward and finally spins at 8.2 π rad/s.

Given:

ω₀ = 3.9π rad/s

ω = 8.2π rad/s

t = 4.2 s

Find: α

ω = αt + ω₀

8.2π rad/s = α (4.6 s) + 3.9π rad/s

α = 4.6 rad/s²

4.6 rad/s² is her average angular acceleration during this time interval

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Two types of transport ___________________________ or ____________________________
Which one does not require energy?_________________________________
In the one that does not require energy, the move across a _______________________________________________________.
They move from _____________ concentration to _____________________ concentration.
The goal is to have the molecules _______________________ over time on both sides of the concentration gradient.

Answers

Two types of transport are active and passive transport, in passive transport, there is no requirement for energy.

What are active and passive transport?

In the one that does not require energy, they move across a cell membrane, They move from higher concentration to lower concentration. The goal is to have the molecules equal overtime on both sides of the concentration gradient.

In active transport, there is the expenditure of energy because in this transport molecules flow from a lower concentration gradient to a higher concentration gradient.

Therefore, there are two types of transport active and passive transport.

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A particule accelerates uniformly from rest at 6.0m/s for 8seconds determine the magnitude of its velocity​

Answers

The particle has a 48 m/s maximum velocity.

How can I calculate the speed of an object?

The equation for uniformly accelerated motion, which states that an object's final velocity, v, is equal to its beginning velocity, u, plus the product of its acceleration, a, and the time taken, t, serves as the theoretical foundation

As v = u + at, this formula can be used.

Following are the procedures to determine a particle's velocity:

Use the equation v = u + at in step one, where v is the end velocity, u is the beginning velocity, an is the acceleration, and t is the duration.

Substitute the values into the formula in step 2 to complete. Here, u = 0 (since the particle is initially at rest),

a = 6 m/s2 and t = 8 s

v = 0 + (6 m/s2) × (8 s) (8 s)

v = 48 m/s

The particle's speed is therefore 48 m/s on average.

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