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

Answers

Answer 1

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

How to calculate percent error?

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

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

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

Percent error = {66 - 63}/63 × 100

Percent error = 3/63 × 100

Percent error = 4.762%

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

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Related Questions

The 7.4 N weight is in equilibrium under
the influence of the three forces acting on it.
The F force acts from above on the left at
an angle of a with the horizontal. The 5.9 N
force acts from above on the right at an angle
of 44° with the horizontal. The force 7.4 N
acts straight down.
Ĵ
44°
5.9 N
7.4 N
What is the magnitude of the force F?
Answer in units of N.
part 2 of 2
What is the angle a of the force F as shown
in the figure?

Answers

a) Magnitude of force is 5.37N

b) Angle of force is - 37.88°

What is force?

In physics, we define a force is an influence that can change the motion of object. A force can cause an object with mass to change to accelerate.

Given force from above is 5.9N

∑Fₓ = F₁ₓ + F₂ₓ+F₃ₓ = 0

F₂ cos 44° + Fₓ = 0

Fₓ = - 5.9 cos44°

= - 4.24  N

Given force that acts downward as 7.4N

∑Fy= Fy1+ Fy2 +Fy3 =0

Fy+ 5.9 sin 44° - 7.4= 0

F =  3.30 N

F =√Fₓ² +Fy²

=  5.37 N

b)  angle of force= tan⁻¹ (3.30/-4.24)

= - 37.88°

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Choose whether the given unit is a unit of power or a unit of energy.
unit of power: joule/sec (J/s)
unit of energy: watt x year (Wyr) (costs about $1)
unit of energy: calorie (cal)

unit of energy: kilojoule (kJ)
unit of power: kilowatt (kW)
unit of power: watt (W)

unit of energy: kilowatt x hour (kWh) (costs about $0.10)
unit of power: megawatt (MW)
unit of energy: kilocalorie (kcal)
unit of power: kilowatt x hr / year (kWh / yr)
unit of energy: joule (J)
unit of power: gigawatt (GW)

Answers

Different units of power given in the question is:  joule/sec (J/s), kilowatt (kW), watt (W),  megawatt (MW), kilowatt x hr / year (kWh / yr), gigawatt (GW).

Different units of energy given in the question is: calorie (cal),  kilojoule (kJ), kilowatt x hour (kWh),  kilocalorie (kcal),  joule (J).

What is energy?

Energy has the capacity to bring about change, such as motion. To execute tasks (like lifting a box), energy is needed. A battery can store a certain amount of energy, just as a certain quantity of fuel, such as food, can.

The joule is the base unit of energy. This indicates that no matter how quickly a box is picked up, a job like lifting it requires a specific number of joules.

What is power?

Power is the ratio of the amount of energy utilized to the time it took to use it. It measures how quickly energy is used or transported. Its watt measurement equals one joule of energy used every second.

Hence, units of energy is equal to products of unit of time and unit of power and they can easily interchange.

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if the mass and the momentum of an object are given

Answers

The formula for linear momentum is p = mv. The relationship between momentum and an object's mass and speed is straightforward. Therefore, an object's momentum increases with increasing mass or velocity. The vector of momentum p has the same direction as the vector of velocity v.

Linear Momentum:

The product of an object's mass, m, and its velocity, v, is the vector quantity known as linear momentum. It is represented by the letter "p," which is also used to denote momentum. Please be aware that the body's momentum always points in the same direction as its vector of velocity. Because it is a conserved quantity, a system's overall momentum is always constant. kg/s is the unit of linear momentum.

Complete question:

If the mass and the momentum of an object are given, how do we find the velocity? ​

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A 10 kg block should be pushed up a steep plan, with a slope of 37 °, at constant speed. What should be the size of the force needed in this case, if the friction coefficient is 0.5? b) What should be the size of the force needed to push the block with a=2 m-s¹?

Answers

a) The  magnitude of force needed  is 29.49 N.

b)  The magnitude of force needed to push the block with a=2 m-s⁻² is 49.49 N.

What is friction?

Friction is a form of relative force that works as resistance between two bodies that are in touch with one another. In other words, there is a force that opposes the relative motion of two bodies when they are in contact.

Given parameters:

Mass of the block; m = 10 kg.

Slope of the plan; θ = 37°.

Coefficient of friction, μ = 0.5.

Taking acceleration of gravity; g = 9.8 m/s².

a)Hence, magnitude of force needed = friction force = μ× normal force

= μmgsin37°

= 0.5 × 10 × 9.8 × sin 37°

= 29.49 N.

b) The magnitude of force needed to push the block with a=2 m-s⁻² is = friction force + ma

= 29.49 N +10×2 N

= 49.49 N.

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What force has to be overcome in order for your balloon car to start to move? Once it is moving and all the air is expelled why does your car keep moving? What causes it to stop?

Answers

It has to overcome friction and air resistance in order for your balloon car to start to move

What is a balloon car?

For balloon-powered car, the contracting balloon pushes the air in the balloon backwards. That means the air in the balloon is pushing balloon forwards. The balloon is joined to car, so the car rolls. The motion is nothing to do with pushing on the air behind car.

There are two main forces acting on balloon rocket car: Friction and Air resistance. The friction force is resistance between two objects sliding against each other. While building your car identify places where objects will be rubbing against each other creating friction. In order to get car to move, we need an unbalanced force. In other words, the force of air coming out of balloon must overcome the forces acting on the car. We will want to reduce friction and air resistance to help your car move.In the case of balloon car, the action is the air rushing out of the balloon, pushing against air behind the car. The opposite or equal reaction is that the air behind car pushing against the car with the same force, causing the car to propel forwards.The weight of car is too great and nothing moves: As the car weight increases, friction between axle and straw, wheel and axle, and wheel and floor increase. There comes a point where the forces from friction are greater than the force from air blowing out the balloon.

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What trend do you observe in the Total Energy column at all the positions?

Answers

Do you notice a pattern in the Total Energy column for all the spots where the skater turns and returns in the opposite direction? Its highest value at those locations.

How does energy work in Example?

Various types of energy are present. These include, for instance, energy from light, heat, mechanical motion, gravity, electricity, sound, chemicals, nuclear or atomic energy, and so forth. It is possible to alter or convert one form into another.

What kind of energy comes primarily from?

The main energy sources in the environment are fossil fuels like coal, oil, natural gas, uranium, and biomass. With the exception of biomass, none of the principal fuel sources are renewable. Renewable energy sources including geothermal energy, the sun's rays, the wind's movement, and the water's flow are also considered primary sources.

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A guitar string of length 30 cm and stretched under a tension of 78 n has a certain fundamental frequency. How long would a pipe, open at both ends, need to be to play the same fundamental frequency? a 15-cm long piece of the guitar string has a mass of 0. 4 g. The speed of sound in air is 340 m/s.

Answers

0.6 m long would a pipe, open at both ends, need to be to play the same fundamental frequency .

Frequency, in physics, the number of waves passing through a fixed point in a unit of time. Also, the number of cycles or oscillations per unit time experienced by an object in periodic motion. An object in periodic motion is said to undergo a cycle or oscillation after returning to its original state through a series of events or positions. See also angular velocity. A simple harmonious movement.

The period or time interval required to complete a cycle or oscillation is 1/2 second, then the frequency is 2/second. If the period is 1/100 hour, the frequency is 100 per hour. In general, frequency is the reciprocal of duration or time interval. That is, frequency = 1/duration = 1/(time interval). The frequency of the moon's orbit around the earth is just over 12 cycles per year. His A string on the violin has a frequency of 440 vibrations or cycles per second.

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If the same amount of energy was applied to an equal mass of water at
20 °C, what would its final temperature be? The specific heat capacity of
water is 4200 J/kg °C.

Answers

If the same amount of energy was applied to an equal mass of water at 20 °C, its final temperature is 100 °C

q = m C ΔT

ΔT = T - To

q = Heat quantity

m = Mass

C = Specific heat capacity

ΔT = Change in temperature

T = Final temperature

To = Initial temperature

q = 1680 KJ

m = 5 kg

C = 4200 J / kg °C

To = 20 °C

q = m C ( T - To )

1680000 = 5 * 4200 ( T - 20 )

T - 20 = 80

T = 100 °C

Therefore, the final temperature would be 100 °C

The given question is incomplete. The complete question is:

1680 KJ is applied to 5 kg of water. If the same amount of energy was applied to an equal mass of water at 20 °C, what would its final temperature be? The specific heat capacity of water is 4200 J/kg °C.

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which has the greater acceleration: a car that increases its speed from 50 km/h to 60 km/h, or a bike that goes from 0 km/h to 10 km/h in the same time? Explain.

Answers

Answer:

They have the same acceleration.

Explanation:

50km/h to 60km/h = 10km/h

0km/h to 10 km/h = 10km/h

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Answer:

they have a same acceleration

Explanation:

50km/h to 60 km/h=10km/h

0km/h to 60 km/h=10km/h

Which of the following is not true for a load-extension graph up to the limit of proportionality?
a) It is a straight line
b) It can cross the y-axis at any point
c) Extension ÷ load always equals the same value
d) If the load is doubled, then the extension is doubled

Answers

Answer:

Explanation:

Which of the following is not true for a load-extension graph up to the limit of proportionality?

a) It is a straight line   (TRUE)

(See graph)

b) It can cross the y-axis at any point (FALSE)

c) Extension ÷ load always equals the same value   (TRUE)

 ΔL / P = 1/k  (k - stiffness)

d) If the load is doubled, then the extension is doubled  

P = k·ΔL

2·P = k·(2·ΔL)

compute the position and the focal lenght of a converging lens of which will profuce the image of a lamp magnified 4 times on a screen 10cm from the lamp

Answers

here

u = distance from object and mirror

v = length of image

f = focal distance

m = magnification

Suppose you have a barometer with mercury and a barometer with water. How does the height hwater compare with the height hmercury?.

Answers

The heaviest liquid is mercury. In order to equalize the air pressure, it only climbs 76 cm. Water will rise to a 13.6 because it is 13.6 times lighter than mercury. By a factor of 13.6, mercury is 13.6 times denser than water.

Therefore, the barometer's height would be 13.6 times higher if water were employed in place of mercury. Since water expands when it freezes, the glass tube would be broken.

Because of its high density, mercury is frequently employed in barometers, allowing for a column height that is appropriate for measuring atmospheric pressure. For example, a mercury barometer would need to be 13.6 times taller than a water barometer to measure the same change in pressure.

This is the primary justification for using mercury in thermometers. Mercury will provide accurate readings in comparison to water since it lacks the condensation property that water possesses. Mercury can be used to measure both negative and positive temperatures, whereas water cannot be used to measure either.

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A person kicks a ball into the air with a force Fo. The figure shows the position of the ball at various times. What is the net force on the ball
and its acceleration at the highest point shown?

Answers

Net force at highest position is force due to gravity= m*g

net acceleration of ball at highest point is = g towards ground

What is force?

Force can be understood as the push or pull on an object with mass that  causes it to change its velocity. Force is external and is capable of changing a body's state of rest or motion.

When a person kicks the ball with initial force Fo,  then energy associated with this force is transferred to the ball in the form of momentum change and hence velocity of ball is non zero.

In this case impulse imparted by the force is equal to change in momentum of the ball.

The only force acting on the ball at his highest is is the force due to gravity.

Net force on ball = m *g

a = F/m

= m*g/m=g

Net force at highest position is force due to gravity= m*g

net acceleration of ball at highest point is = g towards ground

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Consider a 3 kg, uniform, horizontal rod with a length of 2 m. What is the magnitude of the gravitational torque about a point located 13 cm from the left-most edge? Round to two
decimal places and express the answer in Sl units

Answers

The magnitude of the gravitational torque 6.47 Nm.

Gravitational torque is performed at the middle of the drum that is intersecting the axis of rotation (i.e. r = zero), inflicting a fee of torque 0. The route of the net torque across the center of mass is difficult to determine directly. Gravity offers no torque, and friction and ordinary forces supply opposing torques.

The center of mass of the rod

   = R = 2/2

    = 1

So torque τ = r × F

                 τ = r F

Torque at point P = τ p

                          = r × m g

                               τp = ( 1 - 0.13 ) × 2 × 9.8

                                    =17.052 N m

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

Answers

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

What is relativistic speed?

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

From the given information in the question,

E = (γ-1)mc² and,

γ = 1/√(1-(v²/c²))

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

m = 1 million kg or 10⁶ kg.

v =0.99 c.

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

E = 54.81 × 10²² J = 5.48 × 10²³ J

Let's calculate in terms of tons,

1 J = 2.39 × 10⁻¹⁰ tons

Therefore,

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

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

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analyze will pushing on a car always change the cars mechanical energy ?

Answers

Pushing on a car will not change cars mechanical energy because  it does not create mechanical energy.

Mechanical energy is the energy of either an item in motion or the energy that is saved in object via their position. Mechanical strength is also a driving force of renewable strength.

There are types of mechanical energy:  Potential energy and Kinetic energy. Combined, the sum of the 2 is called the overall mechanical power. Mechanical power is countless in nature.

Advantages of Mechanical energy are that this energy source does not not run out and can also be transformed into different types of power. Disadvantages of mechanical energy is that the machines that permit you to have the benefits of mechanical energy can create protection issues and also grow to be worn out and costly to fix.

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Below are sample standard word problems involving application of Newton's laws of motion.
1. A box with mass 10.5 kg moves on a ramp that is inclined at an angle of 50.0∘ above the horizontal. The coefficient of kinetic friction between the box and the ramp surface is μk = 0.310. Calculate the magnitude of the acceleration of the box if you push on the box with a constant force F = 125.0 N that is parallel to the ramp surface and directed up the ramp, moving the box up the ramp.
2. A 60.0-kg crate rests on a level floor at a shipping dock. The coefficients of static and kinetic friction are 0.760 and 0.410, respectively. What horizontal pushing force is required to just start the crate moving and slide the crate across the dock at a constant speed? Note: Two FBDs will be provided here. The first FBD is for the crate that is about to move and the second FBD is for the crate that is already in motion at a constant speed.
Disregard the calculation part, your task is to (a) identify the forces acted on the object (in bold) and (b) draw its FBD. For Part A, you will be graded based on the correctly identified force. For each wrongly identified force, it will be deducted from your correct ones. For Part B, you will be graded based on the accuracy and completeness of your FBD with 5 points as the maximum score and 0 point as the lowest score.

Answers

The magnitude of the acceleration of the box if you push on the box with a constant force F = 125.0 N that is parallel to the ramp surface and directed up the ramp is 9.96 m / s²

N = m g cos θ

N = 10.5 * 9.8 * cos 50°

N = 65.86 N

∑ [tex]F_{x}[/tex] = m a

F - f = m a

F - μ N = m a

125 - ( 0.31 * 65.86 ) = 10.5 * a

125 - 20.42 = 10.5 a

a = 104.58 / 10.5

a = 9.96 m / s²

To just start the crate to move,

Fs = μs m g

Fs = 0.76 * 60 * 9.8

Fs = 446.88 N

To slide the crate across the dock at a constant speed,

F = μk m g

F = 0.41 * 60 * 9.8

F = 241.1 N

Therefore,

1 ) a = 9.96 m / s²

2 ) Fs = 446.88 N ; F = 241.1 N

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HURRY!!!!! final exam..

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

Answers

Answer:

A.Running 50 m along a straight track

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

Answer:

A. Running 50m along a straight track

Explanation:

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

The ratio of blue paint to yellow paint is 5:6 in order of blue paint are used how many ounces of yellow painy are needed to creat green?

Answers

There are 36 ounces of yellow paint.

Both blue and yellow paint reflect intermediate wavelengths. Therefore, if you mix blue and yellow paint the mixture will appear green. I have found that blues and greens produce predominantly cyan or turquoise tones but mixing colors is never the right thing to do with darker or lighter grays.

Mixing blue and green makes him a tertiary color on the color wheel, teal. Blue-green is similar to turquoise or the color of the sea. This is one of the most common and popular tertiary colors. For a light aqua color mix cobalt blue with white. The primary colors are red blue and yellow. Primary colors cannot be mixed with other colors. They are the source of all other colors.

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How is velocity different from speed?

Velocity is based on distance.
Velocity includes direction.
Velocity can be an average or instantaneous.

Answers

Answer:

Velocity is based on distance.

Explanation:

Speed-is the time which an object is moving.

Velocity-is the direction of an object's movement.

Answer:

Velocity includes direction.

Explanation:

speed is only the rate which an object moves while velocity is the rate and directions which an object moves.

What is the magnitude of the net displacement of a point on the rim of the blade during the deceleration?.

Answers

The correct answer is net displacement of a point on the rim of the blade during the deceleration is 10.0 in or 0.254 m 10.0 i n o r 0.254 magnitude .

Magnitude in physics is simply described as "distance or quantity." It shows the size or direction that an object moves in either an absolute or relative sense. It is a way of expressing something's size or scope. Magnitude in physics often describes a length or a size. A scalar is used to indicate a force's magnitude, which is the amount to which the body it is acting on will be accelerated by the force (a single number). The force's strength can also be considered in terms of its magnitude. An attribute of a mathematical object that indicates whether it is bigger or smaller than other things of the same kind is its magnitude or size.

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114.0 g of water is heated using 67.0 W of power, with perfect efficiency. How long will it take to raise the temperature of the water from 15° C to 25° C?

Answers

Water will take a time of 71.2 seconds to raise the temperature of the water from 15° C to 25° C.

What is the specific heat capacity?

The specific heat capacity can be demonstrated as the quantity of heat needed to increase the temperature in one unit of material by one degree celcius.

Whenever the energy will be lost or absorbed the temperature of the material will be changed:

Q = mCΔT

Given, the mass of the water, m = 114 Kg

The change in the temperature = 25 - 15= 10 °C

The specific heat capacity of the water, C =4.184 J/g°C

The time can be calculated for the given change in temperatures as:

P × t = m×C ×ΔT

67 W × t = 114g × (4.184 J/g°C) × 10 °C

t = 71.19 sec

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Octane is a component of gasoline. It reacts with oxygen, O2 , to form carbon dioxide and water. Is octane an element or a compound? How can you tell?

Answers

Octane is a compound since it is composed of more than two elements of the periodic table.

What is octane?

Octane is a linear hydrocarbon made up of hydrogen and carbon molecules, which makes it an organic molecule. Octane will be part of the composition of gasoline. The quality of the gasoline is measured by the octane number, the more octane there is, the higher the octane number and the better the quality of the gasoline.

It is a compound since it is said to be if it is made up of more than two elements from the periodic table. The elements of the compound cannot be separated by physical processes such as filtration or decantation, but only by chemical processes.

Therefore, we can confirm that octane is a compound since it is composed of more than two elements of the periodic table.

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A golf ball leaves the club with a horizontal velocity of 10 m/s and a
vertical velocity of 15 m/s. Calculate the resultant velocity of the golf ball.

Answers

The resultant velocity of the golf ball is 18.03 m/s

What is Resultant velocity?

An object's total vector velocity is the sum of its component vector velocities. The scalar product of an object's mass and acceleration vector equals the sum of the vector forces acting on it. If indeed the two objects stick together again after impact, divide the total momentum even by sum of the masses. You will then be given the two objects' resultant velocity as a result. In the aforementioned example, 50 would be divided by the total mass of the masses, which really is 10, yielding a speed of 5 metres per second.

Horizontal velocity= 10 m/s

Vertical velocity= 15 m/s

Resultant velocity= [tex]\sqrt{100+225}[/tex] = [tex]\sqrt{325}[/tex] = 18.03 m/s

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You've been waiting for the bus and your hands become cold. When you get onto the bus and sit down, you put your hands under your legs to warm up. After a while your hands feel warmer but your legs feel colder. Explain this with regards to what you know about thermal energy transfer

Answers

All metabolic process requires the transmission of energy. Because total energy is conserved, there will be no energy loss or gain in a system, and to maintain this balance, energy will be transferred from a lower energy location to a higher energy place.

What is thermal energy?

Thermal energy is energy in the form of heat that may be transferred from one component to the other in the same way that any other energy type can.

When energy is conserved in a system, there is no net gain or loss of energy. As a result, energy lost in one area flows to the other sections. Any energy form can go from a low-intensity area to a high-intensity area.

When our hands chill, we may warm them up by rubbing them on our legs. Where heat energy is transmitted from our legs to our hands in order to warm them. Thus, the temperature is delivered to a cooler component from a hot part in this case.

This is an example of heat transfer, thus our legs cool down because part of their temperature is transferred to our hands, but our body's total temperature remains balanced.

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A 30.0 kg object is falling in air and experiences a force due to air resistance of 50.0 N. What is the net force acting on the object?

A) -244 N
B) -110 N
C) 94 N

Answers

The net force acting on the object will be 244 in downward direction

Forces acting on a freely falling body will be

1) Force due to gravity ( in downward direction ) or gravitational force

2) Force due to air resistance ( in upward direction )

Net force =  Force due to gravity  - Force due to air resistance

                = - mg + Force due to air resistance

                = - 30 * 9.8 + 50

                = - 294 + 50 = -244 N

correct answer is

A) -244 N

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A piece of clay sits 0.22 m from the center of a potter’s wheel.
If the potter spins the wheel at an angular speed of 20.5 rad/s, what is the magnitude of the centripetal acceleration of the piece of clay on the wheel?
Answer in units of m/s2.

Answers

The magnitude of the centripetal acceleration of the piece of clay on the wheel will be  4.51 [tex]m/s^{2}[/tex]

When an object  is moving in a circle , it experiences an acceleration towards the center of the circle is known as Centripetal acceleration

centripetal acceleration = radius * ([tex]omega^{2}[/tex])

                                        = 0.22 * 20.5

                                        = 4.51 [tex]m/s^{2}[/tex]

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In the Atwood machine shown in the figure, if M = 0.60 kg
and m = 0.40 kg. Ignore friction and the mass of the pulley.
(a) Draw free-body diagrams for mass M and mass m. (b)
Calculate the magnitude of the acceleration of the system.
(c) Calculate the tension in the string.

Answers

The magnitude of the acceleration of the system is equal to 1.96 m/s². The tension in the string is equal to 4.70 N.

What is Newton's second law of motion?

Newton's 2nd law of motion described the force acting on an object as equal to mass (m) times the acceleration (a) of that object.

The mathematical relation can be shown as follows:

F = ma

Given, the mass, m = 0.40 Kg  and the mass M = 0.60 Kg

From newton's second law:  Mg - T = Ma            ...........(1)

Similarly, T - mg =ma                                    ...............(2)

By adding both equations, we get:

(M - m)g = (M + a)a

(0.60 - 0.40) (9.8) = (0.60 + 0.40) a

a = 1.96 m/s²

The tension in the string can be determined as:

Mg - T = Ma

(0.60) (9.8) - T = (0.60) × 1.96

T = 4.70 N

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A museum curator moves artifacts into place on many different display surfaces consider the following table giving approximate values for coefficient of friction.
What is Fs,mar for moving a 154 kg aluminum sculpture across a horizontal steel
platform? The acceleration of gravity is
9.81 m/s².
Answer in units of N.

Answers

Static friction is 0 N ≤ [tex]f_{max}[/tex] ≤ 920.612N

Maximum static friction is 920.612N

Kinetic friction is 709.324N

How do kinetic and static friction differ?

Kinetic and Static Friction The friction that exists between two systems when they are in touch and immobile with respect to one another is known as static friction. Kinetic friction is the friction that occurs when two systems are in contact and moving in relation to one another.

Aluminum and steel have a static friction coefficient of [tex]\mu_{k}[/tex] =0.47  and a kinetic friction coefficient of [tex]\mu_{s}[/tex] = 0.61 respectively.

Given.

Mass = 154 kg

The weight of the sculpture made of aluminum will exert a normal force equal to that of the steel platform. This is,

N = mg

The static friction is now calculated by multiplying the normal force by the coefficient of static friction. From 0 to limiting friction, the static friction ranges.

The maximum static friction that a body can experience in order to prevent motion is known as the limiting friction.

The limiting friction value, often known as the maximum static friction, is given as:

[tex]f_{max} = \mu_{s} N =\mu_{s} mg[/tex] = 0.61 ×154×9.8 = 920.612N.

Static friction is defined as follows:

0 N ≤ [tex]f_{max}[/tex] ≤ 920.612N.

The frictional force that affects a body as it is moving while being acted upon by forces is known as kinetic friction. As a result, the product of normal force and the coefficient of kinetic friction is kinetic friction. Kinetic friction is a persistent force that opposes.

So, the formula for kinetic friction is:

[tex]f_{k}[/tex] = [tex]\mu_{k}[/tex]N

[tex]f_{k}[/tex] = [tex]\mu_{k}[/tex]mg

[tex]f_{k}[/tex] = 0.47×154×9.8

[tex]f_{k}[/tex] = 709.324N.

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A proton and an electron are moving with the same velocity v perpendicular to a uniform
magnetic field B. Answer the following (explaining the answer):
a) What kind of trajectory each particle follows? (Draw it)
b) Is the value of an electric field E the same for both particles if we want it to make the particles move following a straight-line trajectory? Why?
c) What’s the kinetic energy change before and after applying the electric field?
Data: Proton mass is, approximately, 1836 times electron’s mass.

Answers

When E depends on the strength of the magnetic field and velocity, the strength of the electric field must also be the same to maintain a straight-line motion without deviating from it.

What is kinetic energy?

The energy that an object has because it is moving is determined by the initial energy in physics. It is defined as the amount of effort required to accelerate an object of known weight from resting to its specified velocity. The body keeps its kinetic energy after gaining it during acceleration, barring speed changes. When slowing from its current pace to a point of rest, the body expends the same amount of energy.

(a)

The magnetic field is on the page and the image is attached.

(b)

The magnetic force must be balanced with force due to the electric Field.

Eq = qvB sinθ

Eq = qvB sin 90

E =vB

(c)

The kinetic energy of the particle with velocity v and mass m,

KE = 1/2 mv²

The proton's kinetic energy is 1836 times more than that of the electron since it is more heavy than it is.

The shift in kinetic energy will then be equal to zero if there is no increase in velocity between before and after the electric field is applied.

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