The length of speed's hand of watch is 1cm the change in velocity of is tip in 15 sec

Answers

Answer 1

The change in velocity of the tip of the second's hand in 15 seconds is: \(\pi /(30\sqrt2) cm/s\). The correct option is B.

To determine the change in velocity of the tip of the second's hand, we need to consider that the hand moves in a circular path with a radius of 1 cm. In 15 seconds, the angle covered is (15/60) × 360 = 90 degrees, or π/2 radians.

The initial velocity can be represented as (v1 = rω1) and the final velocity as (v2 = rω2), where r is the radius (1 cm) and ω is the angular velocity. Since the second's hand moves at a constant speed, the angular velocities are equal, and the change in velocity (∆v) can be calculated using the formula:

∆v = √(v1² + v2² - 2*v1*v2cos(π/2))

Since cos(π/2) = 0, the formula simplifies to:

∆v = √(v1² + v2²)

As v1 = v2 = rω,

∆v = √(2(rω)²) = rω√2 = (1cm)(π/30 rad/s)√2 = π/(30√2) cm/s

So, the change in velocity of the tip of the second's hand in 15 seconds is π/(30√2) cm/s. The correct option is B.

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Complete question:

The length of speed's hand of watch is 1cm the change in velocity of is tip in 15 sec

A. zero

B. π/(30√2)

C. π/30

D. 2π/(30√2)


Related Questions

anyone know the answer ?

anyone know the answer ?

Answers

Answer:

d

Explanation:

the answer of the above mentioned question is 2N to the left.

hope this helps!

if the bird consumes energy at a rate of 3.70 w , how many hours tb can it fly using the energy supply provided by 4.00 grams of fat?

Answers

To calculate the hours a bird can fly using the energy supplied by 4.00 grams of fat, we need to find the total energy content of the fat and then divide it by the bird's energy consumption rate.

Fat provides approximately 9 kcal of energy per gram. First, convert the energy content of the fat to watts:

4.00 grams of fat * 9 kcal/gram = 36 kcal

1 kcal = 4184 joules

36 kcal * 4184 joules/kcal = 150,624 joules

1 watt = 1 joule/second, so the bird consumes 3.70 joules per second.

Now, divide the total energy content of the fat by the bird's energy consumption rate:

150,624 joules / 3.70 joules/second = 40,704 seconds

Finally, convert the seconds to hours:

40,704 seconds / 3600 seconds/hour ≈ 11.31 hours

So, the bird can fly for approximately 11.31 hours using the energy supplied by 4.00 grams of fat.

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The first step is to calculate the energy that can be obtained from 4.00 grams of fat.

One gram of fat can provide approximately 9 calories of energy, which is equivalent to 37.656 joules. Therefore, 4.00 grams of fat can provide:

Energy = 4.00 grams x 9 calories/gram x 4.184 joules/calorie

Energy = 150.336 joules

Next, we can calculate the time that the bird can fly using this energy supply by using the formula:

Time = Energy / Power

where Power is the rate at which the bird consumes energy, which is 3.70 watts.

Time = 150.336 joules / 3.70 watts

Time = 40.62 seconds

Therefore, the bird can fly for approximately 40.62 seconds using the energy supply provided by 4.00 grams of fat.

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football player A has a mass of 110 kg is running on the field is velocity of 2 m/s football player B has a mass of 120 kg and a stationary what if football player a collage of the football player babe what is the total momentum after the collision

Answers

Complete Question:

Football player A has a mass of 110 kg, and he is running down the field with a velocity of 2 m/s. Football player B has a mass of 120 kg and is stationary. What is the total momentum after the collision?

Answer:

Total momentum = 220 Kgm/s.

Explanation:

Given the following data;

For footballer A

Mass, M1 = 110kg

Velocity, V1 = 2m/s

For footballer B

Mass, M1 = 120kg

Velocity, V1 = 0m/s since he's stationary.

To find the total momentum;

Momentum can be defined as the multiplication (product) of the mass possessed by an object and its velocity. Momentum is considered to be a vector quantity because it has both magnitude and direction.

Mathematically, momentum is given by the formula;

\( Momentum = mass * velocity \)

a. To find the momentum of A;

\( Momentum \; A = 110 * 2 \)

Momentum A = 220 Kgm/s.

b. To find the momentum of B;

\( Momentum \; B = 120 * 0 \)

Momentum B = 0 Kgm/s.

c. To find the total momentum of the two persons;

\( Total \; momentum = Momentum \; A + Momentum \; B \)

Substituting into the equation, we have;

\( Total \; momentum = 220 + 0 \)

Total momentum = 220 Kgm/s.

The total momentum after the collision will be 220 Kgm/s.Momentum is equal to its mass multiplied by its velocity.

What is momentum?

The measurement of mass in motion is called momentum. Momentum is equal to its mass multiplied by its velocity. Mathematically it is given as;

Momentum = Mass x Velocity

The given data in the problem is;

m₁ is the mass of player A= 110 kg

m₂  is the mass of player B= 120 kg

v₁ is the velocity of player A= 2m/s

v₂  is the velocity of player B=0m/s

P is the total momentum=?

The momentum of player A;

\(\rm P_A= m_A \times v_A \\\\ \rm P_A= 110 \times 2 \\\\ \rm P_A= 220 \ Kgm/sec\)

The momentum of player B;

\(\rm P_B= m_B \times v_B \\\\ \rm P_B= 120 \times 0 \\\\ \rm P_B= 0 \ Kgm/sec\)

The total momentum is given by;

Total momentum = momentum of the player A+ momentum of the player B

\(\rm P= P_A+P_B \\\\ \rm P= 220+0 \\\\ \rm P=220 \ m/sec\)

Hence the total momentum after the collision will be 220 Kgm/s

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Our solar system is 4.6 billion years old. Based on the age of the solar system, how many galatic years has planet Earth been around?

Answers

Therefore, based on the estimated duration of a galactic year, Earth has been around for approximately 18.4 to 20.4 galactic ye

A "galactic year" refers to the time it takes for our solar system to complete one orbit around the Milky Way galaxy. The exact duration of a galactic year is not precisely determined due to various factors, such as the varying speeds of stars within the galaxy. However, it is estimated to be roughly 225-250 million years.

To calculate the number of galactic years Earth has been around based on the age of the solar system (4.6 billion years), we can divide the age of the solar system by the estimated duration of a galactic year:

Number of Galactic Years = Age of the Solar System ÷ Duration of a Galactic Year

Number of Galactic Years = 4.6 billion years ÷ 225-250 million years

Number of Galactic Years ≈ 18.4 to 20.4 galactic years

Therefore, based on the estimated duration of a galactic year, Earth has been around for approximately 18.4 to 20.4 galactic years.

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Block slides rightward on the floor toward an ideal spring attached to block , as shown. At time , block reaches the spring and starts compressing it as block also starts to slide to the right. At a later time, , block loses contact with the spring. Both blocks slide with negligible friction. Taking rightward as positive, which pair of graphs could represent the acceleration of block and the center-of-mass acceleration of the two-block system?

Answers

At this moment, the block will start to speed to the left as the spring starts to apply force on it.

What does the word "force" mean?

The definition of force in physics is: The press or pull on a massed object changes its velocity. An agent with the ability to change a body's resting or active condition is known as an external force.

What in science is a force?

The word "power" has a specific meaning in physics. Calling a force at this point a pressing or a pull is perfectly appropriate. A force does not "be in it" or "be contained by" an object. One thing experiences a force from another. Both biological things and inanimate objects can be considered forces.

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what will be the acceleration of vehicle if it started to move from rest and its velocity reached 12m/s after 4 second​

Answers

Answer:

First of all, what is acceleration? — Acceleration is the rate of change of velocity per unit of time.

Now, we know that velocity is a vector quantity i.e we need both magnitude and direction to define it and so is acceleration. We can now say that in acceleration, the direction of motion is very important or to define acceleration we need both the magnitude of motion (here it is the speed) and its direction.

Now coming to your question. There are two possible answers to this question.

more

,Case 2 — When the body is not moving in a straight line or is constantly changing its direction. In this cas the speed still is constant but the direction is constantly changing, for example in the case of a circular motion the direction of motion constantly changes (the direction of a moving body in a circular path at any point is the direction of the tangent of the circle at that point). Hence the velocity changes as the body move along the circular or curved path.

Now, as  I earlier mentioned to define acceleration we need to know it's magnitude and it's direction, and acceleration is the rate of change of velocity per unit of time — the speed remaining constant the direction constantly changing, and the velocity changes at different time intervals or rate of change of velocity is ≠ 0 unlike in case 1. Since there is the of and a change in velocity (speed constant but the direction is changing) there is some acceleration.

To sum everything up — in the case of linear motion i.e motion in a straight line when the speed is constant and direction is not changing, velocity will be zero and hence acceleration would be zero. In case of a non-linear motion i.e motion not in a straight line, in a circle or any path where the speed is constant but the direction is constantly changing, velocity will not be zero and hence the acceleration would not be equal to zero. Either it would be greater or less than zero.

Which of the following is the chemical formula for an element?

Answers

Answer:

A chemical symbol is a one- or two-letter designation of an element. Compounds are combinations of two or more elements. A chemical formula is an expression that shows the elements in a compound and the relative proportions of those elements. Many elements have symbols that derive from the Latin name for the element.

A truck enters a highway driving 60 mph A car enters the highway at the same place 0 nutes later and dives 72 mph in t The car will pass the truck in (Round to the nearest minute) minutes same directi

Answers

A truck enters a highway driving 60 mph A car enters the highway at the same place 0 nutes later and dives 72 mph in t The car will pass the truck in (Round to the nearest minute) minutes same direction From So the car enters the highway,However, this contradicts the information given that the car enters the highway 0 minutes later than the truck.

To determine how long it will take the car to pass the truck, we can set up an equation based on their relative speeds and distances traveled.

Let's assume that the car passes the truck after time 't' minutes.

In 't' minutes, the truck will have traveled a distance of 60 × (t/60) = t miles.

The car enters the highway 0 minutes later and travels at a speed of 72 mph. Therefore, when the car passes the truck, it will have traveled a distance of 72 × (t/60) = 1.2t miles.

To find when the car passes the truck, we can set up the following equation:

t = 1.2t

Simplifying the equation, we get:

t - 1.2t = 0.2t

0.2t = 0

This equation does not yield a valid solution since it implies that the time required for the car to pass the truck is 0 minutes. However, this contradicts the information given that the car enters the highway 0 minutes later than the truck.

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Consider the 56 N weight held by two cables
shown below. The left-hand cable is horizon-
tal.
F
38°
56 N
a) What is the tension in the cable slanted
at an angle of 38°?
Answer in units of N.
part 2 of 2
b) What is the tension in the horizontal
cable?
Answer in units of N.

Consider the 56 N weight held by two cablesshown below. The left-hand cable is horizon-tal.F3856 Na)

Answers

(a) The tension in the cable slanted at an angle of 38° is 90.32 N.

(b) The tension in the horizontal cable is 71.2 N.

What is net force on the weight?

The net force on the weight is determined by resolving the forces into x and y components as follows;

Let the rightward tension = T₁

Let the leftward tension = T₂

Sum of the horizontal forces is calculated as follows;

T₁cos(38) - T₂cos(0)  - 56 cos(90) = 0

0.788T₁ - T₂ = 0

0.788T₁ = T₂

Sum of the Vertical forces is calculated as follows;

T₁sin(38) + T₂sin(0) - 56sin(90) = 0

0.62T₁  - 56 = 0

T₁ = 56/0.62

T₁ = 90.32 N

The tension in the horizontal cable is calculated as follows;

T₂ = 0.788T₁

T₂ = 0.788 x 90.32 N

T₂ = 71.2 N

Thus, the tension in each cable is determined by resolving the forces into various components as shown above.

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I have an atomic mass of 108. Who am I?

Answers

you are Hassium symbol hs

A loaded railway car with a mass 5500 kg is rolling to the right at 2 m/s when it collides and sticks to an empty railway car with a mass of 2500 kg rolling to the left on the same track at 3 m/s. What is their speed and direction of the pair after the collision?

Answers

Answer:

lolol lolol lolol lolol lolol lolol 65

A scientist designed an experiment to test the effect of temperature on bacterial growth. He grew three different cultures of the bacterium E. coli under three heat lamps at different temperatures.

Write a hypothesis that he may be testing​

Answers

Answer:

Depending on the tempetures he's most likly looking to see what temp it will grow under and which one grows the fastest

Explanation:

Answer:

Depending on the tempetures he's most likly looking to see what temp it will grow under and which one grows the fastest

Explanation:


Which is the correct Lewis structure for ethylene, CHA?
H
H
H H
1
CEC
1 1
H
H
C
C:
H
A.
H
B.
H
н
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C.
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C.
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ΟΑ. Α A
OB.
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Ос. с
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ОЕ Е E

Answers

Answer:

:c: H* : A: :C: H* :A: :C: H* :A:

can someone help with this question please :) will mark brainliest

can someone help with this question please :) will mark brainliest

Answers

Answer:

The answer should be south

Explanation:

Because it has more force to the south then to the north, west and east are the same so (40N South)

Take one jar with salt water and another with pure water .put an egg into both jars. In which the jar egg floated over the liquid. Justify your answer

Answers

Answer:

if the which coduct salt has more density so the egg floats .

Explanation:

A car south on interstane 55 at 75 mph. it drives continuously at speed for 3 hour,how far did it travel

Answers

A car was traveling south on Interstate 55, a major north–south highway that connects the Gulf of Mexico to the Great Lakes. It maintained a speed of 75 mph for 3 hours, without stopping or changing lanes.

To calculate how far it traveled, we can use the formula: distance = speed x time. Therefore, the car traveled a distance of 75 x 3 = 225 miles.

About Time

Time is the whole series of moments when processes, actions, or conditions exist or take place. In this case, the time scale is the interval between two states/events, or it can be the duration of an event.

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Gas to liquid with explanation on the basis of kinetic model and condensation point.​

Answers

Answer:

Explanation:

1)Melting:

Melting is the process by which a substance changes from the solid phase to the liquid phase. ... Melting occurs when the internal energy of a solid increases, usually through the application of heat or pressure, such that the molecules become less ordered.

2) liquefication:

In physics and chemistry, the phase transitions from solid and gas to liquid (melting and condensation, respectively) may be referred to as liquefaction. The melting point (sometimes called liquefaction point) is the temperature and pressure at which a solid becomes a liquid.

3) vaporization:

Vaporization, conversion of a substance from the liquid or solid phase into the gaseous (vapour) phase. If conditions allow the formation of vapour bubbles within a liquid, the vaporization process is called boiling. Direct conversion from solid to vapour is called sublimation.

4) Sublimation occurs as molecules of a substance in the solid state go to the vapor state directly, rather than through the liquid state. ... ⭕In terms of the kinetic molecular theory, we know that molecules are in constant random motion, even when the substance is below the melting point.

as an airplane is flying, it is determined that the airflow speed past the lower surface of the wing is 100 m/s. what speed of airflow over the upper surface of the wing would give a pressure difference of 1,000 pa? 1.293 kg/m3 is the density of the air.

Answers

A pressure difference of 1,000 Pa would be produced by airflow over the upper surface of the wing at a speed of 316.2 m/s.

Which air speed is actual?

The speed of your aircraft in relation to the air it is travelling through is known as true airspeed. True airspeed is higher than indicated airspeed as you climb. With any given real airspeed, as you rise, less and fewer air molecules will enter the pitot tube since pressure decreases with altitude.

According to Bernoulli's principle, we can write:

P1 + 1/2 x density x v1² = P2 + 1/2 x density x v2²

where density = 1.293 kg/m³

We know that the airflow speed past the lower surface of the wing (v2) is 100 m/s.

Let's rearrange the equation to solve for v1:

v1 = √[(P2 - P1 + 1/2 x density x v2²) / (1/2 x density)]

We want to find the speed of airflow over the upper surface of the wing that would give a pressure difference of 1,000 Pa. So, we can substitute the given values into the equation:

v1 = √[(1000 Pa + 1/2 x 1.293 kg/m3 x 100² m²/s²) / (1/2 x 1.293 kg/m³)]

v1 = √(64650/0.6465)

v1 = √100000

v1 = 316.2 m/s

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what is units for joules?

Answers

The work performed by a force of one newton acting through one meter is equivalent to one joule, a unit of work or energy in the International System of Units (SI). James Prescott Joule, an English physicist, inspired the name.

The fundamental SI unit of energy is called a joule, or J. One joule is equal to one kgm²/s², or the kinetic energy of a kilograms mass travelling at one meter per second. As an alternative, it is the amount of work that is performed on an object when a force of one newton operates over a distance of one meter in the direction of the object's motion (1 joule equals 1 newton meter or Nm). The system bears James Prescott Joule's name. Because it is a person's name, the symbol's first letter is capitalised (J instead of j). The term is, however, written in lowercase when it is written out.

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I’m confused on the simplest part, which is what to multiply the 2/5 by to get it to the other side...please help

Im confused on the simplest part, which is what to multiply the 2/5 by to get it to the other side...please

Answers

Answer:

Mass, M = 4.859 Kg

Explanation:

Given the following data;

Radius, r = 0.225 m

Moment of inertia, I = 0.123 kgm²

To find the mass;

Mathematically, the moment of inertia is given by the formula;

I = ⅖Mr²

Making M the subject of formula, we have;

Cross-multiplying, we have;

2I = Mr²

\( M = \frac {2I}{r^{2}} \)

Substituting into the formula, we have;

\( M = \frac {2*0.123}{0.225^{2}} \)

\( M = \frac {0.246}{0.050625} \)

Mass, M = 4.859 Kg

016 (part 1 of 2) 10.0 points
A neutron in a reactor makes an elastic headon collision with the nucleus of an atom initially at rest.
Assume: The mass of the atomic nucleus is
about 11.1 the mass of the neutron.
What fraction of the neutron’s kinetic energy is transferred to the atomic nucleus?
017 (part 2 of 2) 10.0 points
If the initial kinetic energy of the neutron is
4.2 × 10−13 J, find its final kinetic energy.
Answer in units of J.
No Rounding

Answers

(a) The fraction of neutron's kinetic energy transferred to the atomic nucleus is 0.09.

(b) The final kinetic energy of the neutron is 3.82 x 10⁻¹³ J.

What is the final velocity of the atom?

The final velocity of the atom is calculated by applying the principle of conservation of linear momentum as follows;

initial momentum of the neutron = final momentum of the atom

m₁u₁  = m₂u₂

where;

m₁ is the mass of the neutronu₁ is the initial velocity of the neutronm₂ is the mass of the atomic nucleus u₂ is the final velocity of the atomic nucleus

The mass of the atomic nucleus = 11.1 m₁

u₂  = m₁u₁ / m₂

u₂  = m₁u₁ / (11.1 m₁)

u₂  = 0.09u₁

The initial kinetic energy of the neutron is calculated as;

K.Ei = ¹/₂m₁u₁²

The final kinetic energy of the atomic nucleus is calculated as;

K.Ef =  ¹/₂m₂u₂²

K.Ef =  ¹/₂(11.1 m₁)(0.09u₁)²

K.Ef = 0.09 (¹/₂m₁u₁²)

K.Ef = 0.09 (K.Ei)

The fraction of neutron's kinetic energy transferred to the atomic nucleus is calculated as;

= 0.09 (K.Ei) / K.Ei

= 0.09

= 9 %

The final kinetic energy of the neutron is calculated as follows;

K.E.f (neutron) = (1 - 0.09) x (4.2 x 10⁻¹³ J)

K.E.f (neutron) = 3.82 x 10⁻¹³ J

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In which beaker was the average kinetic energy of the particles the greatest?

In which beaker was the average kinetic energy of the particles the greatest?

Answers

Answer:

The warmer the temperature the more kinetic energy.  

Explanation:

The highest temperature

The typical kinetic energy formula is used to comprehend the kinetic energy of a gas. This formula uses the gas's temperature to calculate the kinetic energy, or KE. This is carried out because a gas's kinetic energy is exactly related to its temperature. Thus option D is correct.

What role of average kinetic energy of the particles?

Temperature is a gauge for the typical kinetic energy of a substance's constituent particles. It is a particle's typical kinetic energy.

A gas's temperature directly relates to the average kinetic energy of its particles. The particles must travel more quickly as the gas warms since their mass is constant.

The average kinetic energy of the particles in a sample of matter falls as it is continuously cooled. One would anticipate that eventually the particles will stop moving altogether.

Therefore, beaker D: 18 degree Celsius having average kinetic energy of the particles the greatest.

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Steam at 100°C causes worst burns than liquid at 100°C. This is because: Evaporation of liquid water on the skin causes cooling Steam has a higher specific heat than water Heat is transferred to the skin as steam condenses The steam is hotter than the water

Answers

Steam at 100°C causes worse burns than liquid water at the same temperature due to the intense heat transfer during condensation, the higher temperature of steam, its higher specific heat capacity, and the absence of a cooling effect through evaporation. These factors collectively result in more severe tissue damage and burns when exposed to steam.

Firstly, the heat transfer mechanism is different between steam and liquid water. When steam comes into contact with the skin, it undergoes condensation. During this phase change from gas to liquid, a large amount of latent heat is released. This heat is transferred directly to the skin, causing rapid and intense heat transfer. In contrast, liquid water does not undergo the phase change and releases less heat when it contacts the skin.

Additionally, steam has a higher temperature than liquid water at the same boiling point. This is because steam contains more internal energy in the form of latent heat, which is required for the phase change from liquid to gas. The higher temperature of steam means that more thermal energy is transferred to the skin upon contact, resulting in more severe burns.

Moreover, the specific heat capacity of steam is higher than that of liquid water. Specific heat capacity refers to the amount of heat energy required to raise the temperature of a substance by a certain amount. Due to its higher specific heat capacity, steam can carry more heat energy compared to liquid water, leading to more significant burns upon contact.

Lastly, the cooling effect of water evaporation on the skin contributes to the severity of steam burns. When liquid water evaporates on the skin, it absorbs heat from the surrounding tissue, causing cooling. However, this cooling effect is not present with steam burns, as steam condenses back into liquid form upon contact with the skin, releasing a significant amount of heat in the process.

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How does energy transfer to air?!????????????? Plz help me

Answers

Answer:

Via, vibration.

Source generate vibration, and air molecules vibrate, so kinetics and potential energy transfer

Answer:

You’re really dumb...

Explanation:

What two horizontal forces are present as a car is pushed down the driveway?(1 point)

push, velocity
power, friction
power, weight
push, friction

Answers

The two horizontal forces that are present as a car is pushed down the driveway are push and friction.

A force refers to that which produces or opposes motion. When force(s) is/are acting on a body, they either cause motion to occur or prevent motion from occurring. An example of a force which opposes motion is friction.

For a car being pushed along a driveway, the two possible horizontal forces that act on it are push which moves it forward and friction which resists its motion.

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Answer:

Push and friction

Explanation:

As per Newton's third law

Every action has an equal and opposite reaction.

Here the car is pushed so the force applied is pushing force

The opposition force is frictional force

Option D

It took 80 joules to push a chair 5 meters across the floor. How much force was used?

Answers

Answer Maybe try 400

Explanation:

Multiply

Answer:

16 Newtons

Explanation:

The equation for work is Joules = Force x Distance(Meters). Substituting in the values leaves us with 80 = F * 5. Evaluating this equation, we can conclude that the amount of force used was in fact 16 Newtons.  

i need help with question 5heat capacity of water =4200 heat capacity of aluminium is = 897 heat capacity of oil = 1900 and heat capacity of gold is 129 if equal amount of energy is applied to all these materials which material would have the greatest temperature change and why. Explain your answer

i need help with question 5heat capacity of water =4200 heat capacity of aluminium is = 897 heat capacity

Answers

Given that

heat capacity of water = 4200

heat capacity of aluminium = 897

heat capacity of oil = 1900

heat capacity of gold = 129

Heat capacity is the amount of heat a material absorbs to increase its temperature by 1 degree Celsius.

So, larger the heat capacity of a material lower will be the temperature change.

If equal amount of energy is applied to the materials, then gold will have the greatest temperature change as its heat capacity is lowest than other materials.

A pendulum swings from -10 degrees to +10 degrees

Answers

The range of the pendulum swing is 20 degrees, from -10 degrees to +10 degrees.

What is pendulum swing?

Pendulum swing is a phenomenon in which an object, suspended from a fixed point, swings back and forth in a regular rhythm. The pendulum is a simple mechanical system that has been used in clocks and other timepieces since the 16th century.

Pendulum swings are also used in amusement park rides and scientific experiments. A pendulum is usually made up of a mass, or bob, suspended from a string or wire, and is driven by gravity. As the pendulum swings, the force of gravity causes the bob to move in an arc, oscillating back and forth. The arc of the swing is determined by the length of the string, the mass of the bob, and the strength of the gravitational force pulling on it.

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Highway safety engineers want to design roadside barriers that will crumple in the event that a car drives off the road and collides with them, slowing down the car more gradually. The average person has a mass of 68 kg and travels on a highway at a velocity of 27 m/s. If the engineers know that the maximum force that a person can safely withstand is 1180 N, approximately how much time is required to crumple the barrier to safely slow the person with this force?​

Answers

It would take 1.556 seconds for the barrier to crumple and safely slow down the person with a force of 1180 N.

To calculate the time required to crumple the barrier and safely slow down the person, we can use the concept of impulse.

The impulse, denoted by J, is defined as the product of force and time, and it represents the change in momentum of an object. In this case, the impulse required to safely slow down the person can be calculated using the maximum force and the person's initial momentum.

The momentum of a person is given by the product of their mass and velocity:

Momentum = mass × velocity

Given that the person's mass is 68 kg and their velocity is 27 m/s, the initial momentum is:

Initial momentum = 68 kg × 27 m/s

To safely slow down the person, the impulse provided by the barrier should be equal to the change in momentum.

Therefore, we have:

Impulse provided by barrier = Final momentum - Initial momentum

Since the person is brought to rest, the final momentum is zero. Thus, we have:

Impulse provided by barrier = -Initial momentum

Now we can express the impulse in terms of force and time:

Impulse provided by barrier = Force × Time

Plugging in the known values, we can solve for time:

-Initial momentum = Force × Time

68 kg × 27 m/s = 1180 N × Time

Simplifying the equation, we find:

Time = (68 kg × 27 m/s) / 1180 N

Evaluating the expression:

Time = 1836 kg·m/s / 1180 N

Finally, converting kg·m/s to seconds, we get:

Time ≈ 1.5559 seconds

Therefore, it would take approximately 1.556 seconds for the barrier to crumple and safely slow down the person with a force of 1180 N.

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3. Identify which of the following probably would not have an effect on the climate of a region:

a. the region is next to a mountain range

b. the region is on the equator

c. a thunderstorm just blew through the region

d. the region is next to the Atlantic Ocean

Answers

C.) A thunderstorm
That’s the Answer
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