male lions and human sprinters can both accelerate at about 10.0 m/s2. if a typical lion weighs 170 kg and a typical sprinter weighs 75 kg, what is the difference in the force exerted by the ground during a race between these two species? (both the forward and normal forces should be calculated.)

Answers

Answer 1

The difference in the force exerted by the ground during a race between these two species is 259.25

What is force?

Forces are influences that can change the movement of an object. A force can change the velocity of an object with mass, i.e. accelerate it. Forces can also be described intuitively by pushing or pulling. A force has both magnitude and direction and is a vector quantity.

Force exerted by the lion:

Normal force = mg

170 = m × 9.8

m = 17.34 kg

Forward force = ma

= 17.34 × 10.0

= 173.4 N

Total force = Normal force + Forward force

Total force = 170 + 173.4

= 343.4 N

Force exerted by the man:

Normal force = mg

75 = m × 9.8

m = 7.65 kg

Forward force = ma

= 7.65 × 10.0

= 76.5 N

Total force = Normal force + Forward force

Total force = 7.65 + 76.5

= 84.15 N

The difference in the forces exerted by these species is:

343.4 N - 76.5 N = 259.25 N

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Related Questions

a long solenoid has a length of 0.71 m and contains 1255 turns of wire. there is a current of 4.2 a in the wire. what is the magnitude of the magnetic field within the solenoid?

Answers

Answer:

The answer is 9.32x10^(-6) T.

Explanation:

The formula of finding magnetic field in a long solenoid is (B)= (MU)X N X I/L.

MU=4*(PI)*10^-7 h/m

n=1255

i=4.2 A

l=0.71 m

b= 9.32*10^(-6) T.

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a certain volume of gas was confined in a rigid container. if the pressure of the gas sample in the container was doubled, what happened to the temperature?

Answers

The pressure of the gas in the rigid container is doubled, then the temperature will also increase by two times.

According to ideal gas equation,

PV = nRT

Where, P is pressure, V is volume, n is the moles, T is temperature of the gas and R is the gas constant.

A certain volume of gas is put in the container means that the volume and the mole of the gas are constant so, we can write,

PV = Constant,

P₁/T₁ = P₂/T₂

Let us say that P₁ and V₁ are initial parameters, If the volume of the container is doubled, then, P₂ = 2P₁,

So,

P₁/T₁ = 2P₂/T₂

T₂ =  2T₁.

So, the temperature of the gas will be increase by two times,

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a projector has a focal length of 10.0 cm. after focusing, the lcd object is 10.5 cm from the lens. how many cm is the image screen from the lens?

Answers

The image screen is 10.5 cm from the lens.

The focal length of the lens is 10.0 cm, so once the lens focuses, it will be 10.0 cm from the object. In order to find how many centimeters away from the lens the image screen is, we need to use trigonometry and Pythagorean theorem.

Where x is the distance between our object and our projector in meters, and y is the distance between our projector and our image screen in meters. We know that y = 10.5 cm, or 0.105 m; we also know that x = 0 meters because our object is placed directly on top of our projector (therefore it's at 0 m).

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everyday application: suppose a yo-yo has a center shaft that has a 0.250 cm radius and that its string is being pulled. (a) if the string is stationary and the yo-yo accelerates away from it at a rate of , what is the angular acceleration of the yo-yo? (b) what is the angular velocity after 0.750 s if it starts from rest? (c) the outside radius of the yo-yo is 3.50 cm. what is the tangential acceleration of a point on its edge?

Answers

If it starts at rest, the angular velocity after 0.750 is 5.1. The symbol for angular velocity in SI units is s1.

Explain about the angular velocity?

When an object rotates or circles around an axis, its angular velocity is the rate at which the angle between the two bodies changes. The angle that is made by a line on one body and a line on the other in the illustration represents this displacement.

Examples of angular velocity include a roulette ball on a wheel, a race car travelling in a circle, and a Ferris wheel. In addition, the object's angular displacement with respect to time is represented by the angular velocity of the object.

Since the radian is a dimensionless quantity and the SI unit of angular velocity is radians per second.

Angular acceleration

a = a /r

 = 1.7/0.250

a =6.8

Angular velocity

omega = a*t

            = 6.8 *0.75

           =5.1

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A steel bar has a width of 10 cm at 50oC At what temperature will it fit exactly into a hole of constant width 10.005 cm if coefficient of linear expansion of steel is 11x10-6 C-1)? A. 75oC B. 0.005oC C. 75.5oC D. -75.50C​

Answers

The temperature at which the bar will fit exactly into a hole of constant width 10.005 cm if coefficient of linear expansion of steel is 11x10-6 C-1 is 95.5 °C

Δ L = L - Lo

Δ T = T - To

Δ L = Change in length

L = Initial length

Lo = Final length

α = Co-efficient of linear expansion

Δ T = Change in temperature

T = Initial temperature

To = Final temperature

L = 10 cm

Lo = 10.005 cm

T = 50 °C

Δ L = - 0.005 cm

α = 11 * [tex]10^{-6}[/tex] / °C

Δ L / L = α Δ T

Δ L / α L + T = To

To = ( - 0.005 ) / 11 * [tex]10^{-6}[/tex] * 10 + 50

To = 45.5 + 50

To = 95.5 °C

Therefore, the temperature at which the bar will fit exactly into a hole is 95.5 °C

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Answer:

The steel bar will fit exactly into the hole at a temperature of 95.45°C.

Explanation:

To find at what temperature the steel bar will fit exactly into a hole of a constant width, use the Linear Expansion equation.

Linear Expansion equation

[tex]\boxed{L_1-L_0=L_0 \cdot \alpha \cdot (T_1-T_0)}[/tex]

where:

L₀ is the initial width.L₁ is the final width.α is the coefficient of thermal linear expansion.T₀ is the initial temperature.T₁ is the final temperature.

As we want to find the final temperature, rearrange the equation to isolate T₁:

[tex]T_1=\dfrac{L_1-L_0}{L_0 \cdot \alpha}+T_0[/tex]

Given values:

L₀ = 10 cmL₁ = 10.005 cmα = 11 × 10⁻⁶ 1/°CT₀ = 50°C

Substitute the values into the equation:

[tex]\implies T_1=\dfrac{10.005-10}{10 \cdot 11 \times 10^{-6}}+50[/tex]

[tex]\implies T_1=\dfrac{0.005}{0.00011}+50[/tex]

[tex]\implies T_1=95.45^{\circ}\text{C}\; \sf (2\;d.p.)[/tex]

Therefore, the steel bar will fit exactly into the hole of  constant width 10.005 cm at a temperature of 95.45°C (to two decimal places).

Note: The answer is not one of the options provided.

an empty beaker is weighed and found to have a mass of 130g. a measuring cylinder contains 50cm3 of an unknown liquid. all the liquid is poured into the beaker which is again weighed and found to have a mass of 170 g. calculate the density of the liquid.

Answers

Taking into account the definition of density, the density of the liquid is 0.8 g/cm³.

Definition of density

Density is defined as the property of matter, whether solid, liquid, or gas, that allows the amount of mass in a given volume of a substance to be measured.

The expression for the calculation of density is the quotient between the mass of a body and the volume it occupies:

density= mass÷ volume

It can be deduced that density is inversely proportional to volume: the smaller the volume occupied by a given mass, the higher the density.

Density of the liquid

In this case, you know that:

Density= ?Mass of the empty beaker= 130 gMass of liquid + Mass of the empty beaker= 170 gMass of liquid= (Mass of liquid + Mass of the empty beaker) - (Mass of the empty beaker)= 170 g - 130 g= 40 gVolume= 50 cm³

Replacing in the definition of density:

density= 40 g÷ 50 cm³

Solving:

density= 0.8 g/cm³

In summary, the density in this case is 0.8 g/cm³.

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the salad is chemichal or physical change

Answers

Answer:Physical

Explanation:

Answer:

physical change

Explanation:

Making a fruit salad, with raw fruits is considered as physical change because in this process chemical composition of fruits is not changed. It is simply changing the shape of the substance.

In a classroom demonstration, a 79. 2-kg physics professor lies on a "bed of nails. " The bed consists of a large number of evenly spaced, relatively sharp nails mounted in a board so that the points extend vertically outward from the board. While the professor is lying down, approximately 1950 nails make contact with his body. What is the average force exerted by each nail on the professor's body?

Answers

Lying on a bed of nails is one of the most traditional illusions used by magicians. At first glance, it appears like the person lying in the bed of nails will have a hole pierced through their back.

The Force of a Bed of Nails

Lying on a bed of nails is one of the most traditional illusions used by magicians. At first glance, it appears like the person lying in the bed of nails will have a hole pierced through their back. According to physics, a force exerted downward will be dispersed across the nails, lowering the force that each nail applies individually. The force that each nail exerts decreases with the number of nails.

Given

m=79.2 kg The mass of the Physics Professor

n=1950

The Number of Nails in the Bed of Nails

Solving for the weight of the professor applied to the board of nails

W=mg

W=(79.2 kg)(9.8 ms2)

W=776.16N

Solving for the force applied by the individual nails.

Fn=Wn

Fn=776.16 N1950Fn=0.398

N Therefore each nail applies 0.398 N of force.

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light bulbs produce useful energy in the form of light and waste energy in the form of heat. what kind of light bulb would you use to incubate eggs?(1 point)

Answers

To incubate the eggs, we need to use a low-efficiency light bulb because it will produce more heat.

The working light bulb in the incubator is when it turned on the machine the bulb lit up and the box got hot. When the temperature reaches 38 degrees Celsius, the sensor triggers the temperature controller to turn off the bulb. Therefore, the temperature of the box was kept up to a certain limit. Humidity in the box was maintained by a jar filled with water. Water was added daily to keep the humidity between 60% and 90%. Eggs were rotated twice daily to ensure that all sides of the eggs were hatched. This buildup was monitored for up to 22 days.

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A 10,764.0 kg and a 12,008.0 kg object has a force of attraction of 0.0000630000 N. How far away are they from each other?

Answers

The distance between the two masses of 10764 kg and 12008 kg, with a force of attraction of 0.00006 N cating on them is  36.99 m.

What is distance?

Distance can be defined as the length between two points.

To calculate the distance between the masses, we use the formula below.

Formula:

r = √(GMm/F)............ Equation 1

Where:

r = Distance between the massesM = First massm = Second massG = Universal constantF = Force of attraction.

From the question,

Given:

M = 10764 kgm = 120080 kgF = 0.000063 NG = 6.67×10⁻¹¹ Nm²/kg²

Substitute these values intoe quation 1

r = √[(10764×120080×6.67×10⁻¹¹)/0.000063]r = 36.99 m

Hence, the distance between the masses is 36.99 m.

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a car, initially moving with some initial velocity, accelerates until its momentum has increased by a factor of 2.39. by what factor has its kinetic energy increased?

Answers

Since the kinetic energy equation squares velocity, velocity increases have exponential effects: while doubling an object's mass doubles its kinetic energy, doubling its velocity quadruples it!

Definition and examples of kinetic energy

The energy of motion, or kinetic energy, is manifested in the motion of a particle, an object, or a group of particles. Kinetic energy is used by any moving thing, including people moving, baseballs being thrown, table crumbs falling, and charged particles in electric fields.

What 3 types od kinetic energy are there?

Kinetic energy is divided into three subtypes: vibrational, rotational, or translational. Unsurprisingly, items that vibrate produce vibrational kinetic energy. Moving objects generate rotational kinetic energy, whereas object collisions generate translational kinetic energy.

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which method would be most helpful in locating the center of gravity of an object? which method would be most helpful in locating the center of gravity of an object? applying a known torque to the object hanging the object from a string spinning the object like a top carefully weighing the object

Answers

Plumb-line method By hanging an item from several places and marking the vertical line with a plumb line, you can empirically determine where an object's center of gravity is located.

The object's center of gravity is where two or more vertical lines converge at a point on the plumb line.

A plumb line is a string that hangs perpendicular to the earth's surface with a large weight attached to it. The center of mass of the object will be traversed by a line drawn parallel to the plumb line. Draw a line along the second plumb line after repeating the process with a different attachment point.

Rub a rope through colored chalk to create a plumb line, then tack it to the top of the wall. Then secure the loose end with a plumb bob (or other tiny weight). Pull the cord taut while maintaining the bob's natural position of falling.

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Science
Eighth grade D.1 Calculate density, mass, and volume 9BL
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Olive oil in a bottle has a mass of 690 grams and a volume of 750 cubic centimeters.
Calculate its density.
Write your answer to the hundredths place.
grams per cubic centimeter

Answers

The density of the of the olive oil, given that it has a mass of 690 grams and a volume of 750 cm³ is 0.92 g/cm³

How do I determine density of the olive oil?

We know that density is defined as mass per unit volume. It is expressed as:

Density = mass / volume

Thus, with the above formula, we can determine the density of the oliver oil as illustrated below:

Mass of olive oil = 690 gVolume of olive oil = 750 cm³ Density of olive oil = ?

Density = mass / volume

Density of olive oil = 690 / 750

Density of olive oil = 0.92 g/cm³

Therefore, we can conclude that the density of the olive oil is 0.92 g/cm³

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suppose your car's speedometer is geared to accurately give your speed using a certain tire size: 14.5-inch diameter wheels (the metal part) and 4.75-inch tires (the rubber part). if your car's instruments are properly calibrated, how many times should your tire rotate per second if you are travelling at 50 mph?

Answers

If the car's speed is 50 mph the tires will rotate 11.68 times per second.

To calculate the rotation of the tire if

Diameter wheels (the metal part) = d₁ = 14.5 inchesDiameter wheels (the rubber part) = d₂ = 4.75inchesSpeed = v = 50 mph

First, we have to calculate the radius of the wheel.

[tex]R =\frac{d_2 + d_1 + d_2}{2}[/tex]

[tex]R = \frac{4.75 + 14.5 + 4.75}{2}[/tex]

[tex]R = \frac{24}{2}[/tex]

R = 12 inches

Convert the linear velocity.

v = 50 mph

[tex]v = 50 \times \frac{1 \: miles}{1 \: hour}[/tex]

[tex]v = 50 \times \frac{63,360 \: inches}{3,600 \: s}[/tex]

v = 880 inches/s

Formula between angular velocity and linear velocity v = ω R

v = linear velocity = 50 mphR = radius ω = angular velocity

Calculate the angular velocity.

[tex]\omega = \frac{v}{R}[/tex]

[tex]\omega = \frac{880}{12}[/tex]

ω = 73.33 radians/s

Angular velocity has a conection with the frequency (how many rotations in second)
ω = 2πf

π = 3.14f = frequency

[tex]f = \frac{\omega}{2 \pi}[/tex]

[tex]f = \frac{73.33}{2 \times 3.14}[/tex]

[tex]f = \frac{73.33}{6.28}[/tex]

f = 11.68 rotations/second

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The SI unit for the electric for is __ .
A) Coulomb
B) Newtons
C) Joules
D) Meters
Pick ONE only.

Answers

Answer:

The SI unit for the electric for is

A) Coulomb

a cylindrical space colony 13 km in diameter and 30 km long has been proposed as living quarters for future space explorers. such a habitat would have cities, land, and lakes on the inside surface and air and clouds in the center. all this would be held in place by the rotation of the cylinder about the long axis. how fast would such a cylinder have to rotate at its perimeter to produce a 1-g gravitational field at the walls of the cylinder?

Answers

0.00048 rad/s should be the angular velocity of the cylinder to produce a 1-g gravitational field at the walls of the cylinder.

The following problem requires understanding angular velocity and centripetal acceleration to obtain the result. The angular velocity of a body is defined by its virtue of velocity at a particular angle on an axis.

Centripetal acceleration is acceleration when the body is rotating and that acts towards the midpoint of the circular movement.

centripetal acceleration = rω² (derived from v²/r)

here

ω = angular velocity of the cylinder

r = radius of the space colony = 13km / 2 ⇒ 6.5km or 6500m

Substituting the values,

a = g ⇒ 9.8m/s²

ω = √9.8 / 6500 = 0.00048 rad/s

∴The cylinder should rotate at 0.00048 rad/s for producing a 1-g gravitational field.

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which region of jupiter generates its magnetic field? view available hint(s)for part a which region of jupiter generates its magnetic field? metallic hydrogen layer molecular hydrogen layer gaseous atmosphere rocky core

Answers

The outer core of Jupiter, which is made up of liquid metallic hydrogen, is where electrical currents originate that create the planet's internal magnetic field.

Explain about the outer core?

The third layer of the Earth is its outer core. Iron and nickel, together with trace amounts of other materials, make up the majority of this layer, which is the only one that is liquid. The Earth's magnetic field is created by the outer core. The iron inside the liquid outer core of Earth flows about as it rotates on its axis.

Above the solid inner core of the Earth and below its mantle is a liquid layer made of iron and nickel that is about 2,261 km thick. Its outer boundary is located 2,890 km (1,800 mi) below the surface of the Earth.

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When energy in a system is transformed, what happens to the total amount of energy in the system?

Answers

When the energy in a system is transformed, the total amount of energy in the system is always conserved.

What does it mean when energy is transformed?

The changing of one form of energy into another, or the movement of energy from one place to another. An energy transformation is a change of power from one form to another. Fire (Chemical energy Heat and Light) Electric lamp (Electrical energy Heat and Light), Microphone (Sound Electrical energy), Wave power (Mechanical energy Electrical energy). Energy transformation is also known as energy regeneration which is a process of changing energy from one form to another. Energy transformations are procedures that convert energy from one type, for example, kinetic, gravitational potential, and chemical energy.

So we can conclude that an energy transformation is the change of energy from one form to another.

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a 200 g mass is placed on the meter stick 20 cm from the fulcrum. a 170 g mass is used tobalance the system. how far will it have to be located from the fulcrum to keep the systeminbalance?

Answers

200 g mass is placed on meter stick 20 cm from fulcrum. a 170 g mass is used to balance the system and placed the meter stick at 23.52cm.

What is equilibrium?

A dynamic or static equilibrium between opposing forces or actions, such as when forces are acting on a body and the resultant is zero (as in a reversible chemical reaction when rates of reaction in both the directions are equal)

The word "equilibrium" derives from the Latin word "libra," which means "weight" or "balance." As a constellation, astrological sign, and representation of the zodiac, Libra is sometimes shown as a set of balance scales, frequently held by the blindfolded goddess of justice, which stands for justice, fairness, and equality. Biology, chemistry, physics, and economics all have different definitions of equilibrium, yet they all refer to the harmony of opposing forces.

F₁d₁ = F₂d₂

m₁gd₁ = m₂gd₂

m₁d₁ = m₂d₂

here,

m₁ is mass of known object = 200 g

m₂ is mass of unknown object = 170 g

d₁ is distance from fulcrum of known object = 20 cm

d₂ is distance from fulcrum of unknown object = ?

∴ 200 × 20 = 170 × d₂

4000 = 170 × d₂

4000/170 = d₂

d₂ = 23.52 cm

170 g mass is placed at the distance of 23.52 cm.

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why must the displacement vector of the lighter ball be scaled by the ratio of masses of the two balls?

Answers

If no external force on the Centre of mass remains stationary. In order to do that displacement in lighter body must be more than that of heavier ball.

The sum of the starting momentums of the two bodies when they collide is equal to the sum of their final momentums, according to the law of conservation of momentum.

The experimental system supports the law of conservation of linear momentum when a collision occurs between a heavier ball and a lighter ball in the absence of any other external forces.

The centre of mass does not move due to any external forces. A lighter body must have a greater displacement than a heavier ball in order for that to happen. Changes in an object's position are referred to as displacement. A vector quantity, it has both a direction and a magnitude. An arrow that directs viewers from the starting location to the ending position is used to symbolize it. As an illustration, the position of an object changes if it moves from position A to position B. Displacement is the name for this shift in an object's position.

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at what speed do a bicycle and its rider, with a combined mass of 120 kgkg , have the same momentum as a 1800 kgkg car traveling at 5.4 m/sm/s ? express your answer to two significant figures and include the appropriate units.

Answers

27m./s speed do a bicycle and its rider, with a combined mass of 120 kg , have the same momentum as a 1800 kg car traveling at 5.4 m/s.

Speed can be defined as the distance travelled by the object per unit time. Momentum can be defined as the product of the mass and the speed of the object.

The equation for the momentum is     p = mv

Here, m is the mass of the object and v is the speed of the object. The equation for the impulse is,                 I = mΔ v

Here, m is the mass and is the change in momentum. The equation for the change in speed is                      

Here,   ΔV = [tex]V_{f} -V_{i}[/tex]

is the initial speed [tex]v_{i}[/tex]

is the final speed.[tex]v_{f}[/tex]

Step: 1

The equation for the momentum of the bike and rider is, P (B+R)= M [tex](B+R)^{V}[/tex]…… (1)

Here, M (B+R) is the mass of the bike and rider, and v is the speed of the bike and rider.

The equation for the momentum of the car is [tex]P_{car} = m_{car} V_{car}[/tex]…… (2)

Here,

[tex]m_{car }[/tex]is the mass of the car and

[tex]V_{car}[/tex]is the speed of the car.

According to the question, the momentum of the bike and rider is the same as that of the momentum of the car, that is,

Substitute the equations (1) and (2) in above equation.

[tex]M_({B+R^{v} )}[/tex]= [tex]M_{car}V_{car}[/tex]

Rearrange the above equation for v.  v = [tex]M_{car}V_{car}[/tex]/[tex]M_({B+R^{} )}[/tex]

Substitute  1800 kg for[tex]M_{car}[/tex] , and for 5.4m/s in above equation.

v = ( [tex]\frac{(1800) (5.4)}{120}[/tex] = 27m./s

Here, the momentum of the bike and rider is depending on the combined mass of the bike and rider and the speed of the bike and raider.

What is  speed?

Measurement is the most important concept in science. There are many measurable quantities that are measured in basic or fundamental physical  units. Speed ​​is one such measurable quantity that measures the ratio of the distance travelled by an object to the time it takes to travel. Acceleration is defined as the rate of change of velocity with respect to time. Acceleration is a vector quantity because it has both magnitude and direction. It is also the second derivative of position with respect to time or  the first derivative of velocity with respect to time.

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(a) if the kinetic energy of a baseball is doubled, by what factor has its speed increased? (b) if its speed is doubled, by what factor does its kinetic energy increase?

Answers

Due to the fact that kinetic energy is proportional to the square of the speed, doubling the speed results in a four-fold increase in kinetic energy.

As a result, the object's kinetic energy doubles to become four times as much as its initial kinetic energy when its speed doubles.

Speed squared determines kinetic energy. The kinetic energy of an item increases by a factor of four with speed.

Because an object's motion is dependent on both its velocity and its mass, though velocity plays a larger role in motion.

Thus, the relationship between kinetic energy and mass and velocity is direct. Since kinetic energy is exactly proportional to both the square of velocity and mass, its value increases by an order of eight.

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A student wants to collect data during an experiment about the transfer of kinetic energy in a sample of water and ice. Which tool will help her collect the necessary data?(1 point)
Responses

meter stick


balance


thermometer


graduated cylinder

Answers

If a student wants to collect data during an experiment about the transfer of kinetic energy in a sample of water and ice, then the tool that will help her collect the necessary data is a thermometer.

What is a thermometer?

A thermometer is a device used in different applications in order to measure the temperature in the surrounding environment and or open systems such as organisms (including humans).

Therefore, with this data, we can see that a thermometer can be used to determine the temperature of an organism and also of the surrounding media.

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Answer:

your answer will be thermometer

Explanation:

if you go to connexus and are doing the science

Thermal Energy Unit Test 10 qestions 8th grd unit 5 test lesson 12 here are the correct answers

1. A. metal is heated from room temperature to 200'C.

2. B. The particles will have more space between them as steam, but they will be moving at the same speed in both states.

3. C. The potential energy decreases due to the tighter arrangement of the particles.

4. B. an increase in heat and an increase in kinetic energy until a phase change occurs.

5. C. thermometer

6. B. 4.

7. D. convection

8. C. Air moves from the areas of higher temperature to areas of lower temperature.

9. C. The temperature of the ice increases, while the temperature of the water decreases

10. A. heat transfer by radiation.

i hope this helps and please let me know if it does! = ) <3

a 20.0 kgkg wood ball hangs from a 1.30 mm -long wire. the maximum tension the wire can withstand without breaking is 400 nn . a 0.900 kgkg projectile traveling horizontally hits and embeds itself in the wood ball. part a what is the largest speed this projectile can have without causing the cable to break? express your answer with the appropriate units.

Answers

The answer is  99.5m/s

When the bullet strikes the wood it starts moving and due to cable its starts moving in circular motion so a centripetal force is generated towards the center  so we can write
T - mg = mv²/r

Given:
m = (20 + 0.9)kg
maximum T = 500N
r = 1.3m
so,
500 - (20.9)(9.8) = (20.9) v²/ 1.3
v² = 4.285m/s

so the speed of wooden ball and projectile is 4.285m/s
Now by conservation of momentum
     m₁v₁ = m₂v₂
(0.9)v = (20.9)(4.255)
v = 99.5m/s
So the safest speed of projectile is 99.5m/s

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an airplane weighing 5500 lb is flying straight and level at msl with a velocity of 220 mi/h. at this velocity the l/d ratio is a maximum. the wing area and aspect ratio are 200 ft2 and 8.5, respectively. the oswald efficiency factor is 0.93. calculate the total drag on the airplane.

Answers

The total drag on the airplane is 97.28

define velocity?

Velocity is the rate of change in position of an object in motion as measured by a certain time standard (e.g., 60 km/h northbound). Velocity is a key notion in kinematics, the branch of classical mechanics that studies body motion.

weight of plane=5500lb

velocity=220m/h

=200x88/60

=292

wing area= 200 ft^2

aspect ratio=8.5

oswald efficiency (E)=0.93

density of air = 1.225Kg/m^3

=0.002377

Drag= 0.5xpxvxAxcd

lift coefficient=0.245

drag coefficient= 0.0024

cd=0.0024+0.0024=0.0048

drag= 0.5x0.002377x(292x292)x200x0.0048

=0.0011885x(85264)x200x0.0048

=97.28 lb

therefore the  total drag on the airplane was 97.28 lb

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AP physics 1: Extra points!!

Answers

1. There are three forces.

2. Yes, the forces on the beam are balanced.

3. The magnitude of the net force on them is zero.

4. The tension in Cable 1 is 8,596.49 N

5. The tension in Cable 2 is 8,596.49 N

The forces acting on the beam are two tension forces due to the cable and one gravitational pull due to its weight. Thus, there are three forces acting on the beam.

The force on the beam is perfectly balanced as the cable is uniformly attached to it. The beam is moving with constant velocity, thus the acceleration is zero, and hence, the net force acting on it is also zero.

The tension, T, in both cables is equal as they are inclined at the same angle.

Now, we resolve them into rectangular components and write

Tsin35 +Tsin35 = mg = 1000*9.8 = 9800

2Tsin35 = 9800

Tsin35 = 4900

T*0.57 = 4900

T = 8,596.49 N

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starting from rest, you drive down a street. when accelerating from 15 mph to 30 mph, your change in kinetic energy is your change in kinetic energy from 0 to 15 mph. a) one third b) one half c) equal to d) two times e) three times

Answers

Kinetic energy, which can be seen in the movement of an object, particle, or group of particles, is the energy of motion.

What is the formula to calculate kinetic energy?Kinetic energy has the following formula: K.E. = 1/2 m v2, where m is the object's mass and v is its square velocity. The kinetic energy is measured in kilograms-meters squared per second squared if the mass is measured in kilograms and the velocity is measured in meters per second.Kinetic energy is a unit of measurement for the amount of work that a moving thing can accomplish.KE=1/2mv2

energy KE = units

mass m =  15

velocity v =  30

KE = 6750 J

Here, m stands for mass, a measure of how much matter is contained within an object, and v for velocity, a measure of how quickly the object changes positions.

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what is the acceleration of a proton moving with a speed of 8.0 m/s at right angles to a magnetic field of 1.8 t ?

Answers

A proton will accelerate at 1.27 109 m/s2. The rate of a change in velocity is called acceleration.

A magnetic field is what?

It is the kind of field that produces magnetic force. use a magnetic field to assist. The field that is sensed around a moving electric charge is how the magnetic force is measured.

The information provided in the issue is;

What is a proton's acceleration equal to?

The speed is 8.0 m/s, therefore v.

B = 1.8 T is the magnetic field.

The centripetal force and the megnetic force are equivalent;

qvB =m v/r

ac = 1.6 * 10 -18* 9.5* 1.8/1.67810-27

=1.27*10m/s

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how much tension must a rope withstand if it is used to accelerate a 1054 kg car horizontally along a frictionless surface at 1.23 m/s2?

Answers

The tension must a rope withstand is 1296.42N

Given- Mass m=1054 kg

acceleration= 1.23 m/s²

To find Tension generated .

Principle -Tension is the reaction of the action applied that means due to application of mass along with acceleration there is a urge towards earth and to substantiate it or to form a couple the reaction occurred is tension that equalises the role of force,

Mathematically , Force = ma ⇒Tension

F=T

T=ma

Calculations & Answer - T= 1054 x 1.23

= 1296.42N

Since T=F so unit of force and tension will  be same.

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a 10 kg ball is tied to a 7 meter long string. the ball is spun in a circle with a constant speed. the maximum tension allowed in the string before it breaks is 100 n. (a)if spun in a horizontal circle, what is the maximum speed the mass can attain?

Answers

The highest rate of speed a person can reach is called maximum speed.When athletes alter the magnitude or direction of their motion, or both.

What is the maximum speed the mass can attain?

The maximum speed the stone can attain is 8.366 m/s

Data;

   Mass = 10kg

   radius of tangential path = 7m

   Tension = 100N

Centripetal Force

The centripetal force of the stone can be calculated as

Fe =mv/r

v² = Tr/m

v=√Tr/m

v=√100*7/10

v=8.366 m/s

The tension acting on the string is given as

The maximum speed the stone can attain is 8.366m/s

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