in what direction is the earth's angular velocity for its daily rotation on its axis

If all other conditions (such as wind speed and water current) are equal and there are two identical boats with identical engines that push with the same force, the boat carrying the two little women is likely to win the race.

Assuming the two boats have identical mass and shape, the boat carrying the four large men will be slower than the boat carrying the two small women. This is because the boat carrying the men has more total weight, and thus has a greater force of gravity acting upon it. The greater force of gravity increases the frictional forces between the boat and the water, which in turn decreases the speed of the boat. According to Newton's second law of motion, the acceleration of an object is directly proportional to the force applied to it and inversely proportional to its mass. Since the two boats are being pushed with the same force, the boat with less mass (i.e., the boat carrying the two small women) will experience greater acceleration than the boat with more mass (i.e., the boat carrying the four large men). Therefore, the boat carrying the two small women is likely to win the race, assuming all other factors (such as wind speed and water current) are equal.

To know more about force please refer: https://brainly.com/question/13837590

#SPJ4

There could be various reasons some are:

1. Ignoring external factors: If there were external factors, such as friction or air resistance, that were not taken into account in the calculation, the predicted speed of block z after the collision may not match the actual speed.

2. Inaccurate initial conditions: If the initial conditions, such as the velocities or positions of the blocks, were not measured accurately or were assumed incorrectly in the calculation, the predicted speed of block z after the collision may not agree with the actual speed.

In general, predicting the outcome of a collision is a complex problem that requires accounting for many factors, some of which may not be fully understood or measurable. As a result, there may be differences between predicted and actual outcomes, especially in real-world scenarios.

To determine the exact reason why the predicted speed of block z after the collision does not agree with the actual speed, a careful analysis of the calculations, measurements, and assumptions made would be necessary.

To know more about Collision:

https://brainly.com/question/13138178

#SPJ4

Answer:

The correct option is C

1000

N

Given, acceleration,

a

=

2

m

s

−

2

and mass,

m

=

500

k

g

Let the net force be F.

According to Newton's second law of motion:

F

=

m

a

=

500

×

2

=

1000

N

∴

Net force applied is 1000 N.

flag

Suggest Corrections

Azimuth is measured in degrees, with a full circle having 360 degrees, counting clockwise from north. A ten degree south of east object has an azimuth of 100 degrees.

Azimuth circles have 360 degrees in them. 90 degrees is equivalent to the east, 180 to the south, 270 to the west, 360 to the north, and 0 to the north. a horizon arc that is measured from a fixed point, such as true north, to the vertical arc that passes across the center of an object. Your azimuth is the line. You must now calculate the line's grid azimuth, or the angle between the line and grid north. Learn the concepts azimuth and direction by memorizing flashcards with terms like Ten degrees south of you, a brilliant star may be seen in the southern sky.

The term azimuth is used in astronomy and navigation to describe the horizontal angle between an object's direction and true north. The east is at 90 degrees, the south is at 180 degrees, and the west is at 270 degrees since it is often measured in degrees clockwise from the north.

To know more about azimuth angle on

https://brainly.com/question/30665819

#SPJ4

The surface charge density on the inner surface of the conducting shell can be expressed as: σ = q / (4πb^2), or σ = εq / (4πb^2).

To find the surface charge density on the inner surface of the conducting shell, we can use the formula:

σ = Q / A

where σ is the surface charge density, Q is the charge enclosed by the surface, and A is the area of the surface.

In this case, the charge enclosed by the surface is the charge q, since the conducting shell is neutral and does not contribute to the charge. The area of the inner surface of the shell is 4πb^2. Therefore, we have:

σ = q / (4πb^2)

Alternatively, we can use the fact that the electric field just outside the inner surface of the shell is E = q / (4πεb^2), where ε is the permittivity of free space. The electric field just inside the inner surface of the shell is zero, since the electric field inside a conductor is zero. Therefore, the charge density on the inner surface of the shell is given by:

σ = εE = εq / (4πb^2)

Read more about Charge Density:

https://brainly.com/question/14701915

#SPJ4

Some planetary phenomena defied explanation by Aristotle's universe model. Retrograde motion was the most obvious of these. Each planet appears to move in reverse at times when it is in retrograde motion, slowing down briefly before picking up speed again. As they move through the sky, planets also get brighter or dimmer. Neither phenomenon could be adequately explained by Aristotle's model.

What is Aristotle's model ?

The celestial and the terrestrial were Aristotle's two divisions of the cosmos. The Earth, Moon, and the region between them, known as the sub lunar region, were all considered to be parts of the terrestrial realm. The terrestrial world was characterized by change and flaws.

To know more about Aristotle model, visit:

https://brainly.com/question/22900864

#SPJ1

Answer:

As you increase the magnification of an image, the depth of field decreases. This means that a greater portion of the image will be out of focus. A shallow depth of field is often used to isolate the subject from the background, while a deeper depth of field is used to keep more of the image in focus.

As you increase magnification, happens to the depth of field is decreases.

Magnification is the enlargement of the image on the radiograph compared to the size of the actual object. When zoomed in to the depth of field, the area that appears to be in focus becomes smaller and the background and foreground become more blurred. This is because as magnification increases, the focal length of the lens decreases, leading to a smaller depth of field. In order to maintain a larger depth of field while increasing magnification, you would need to increase the aperture of the lens.

In summary, as magnification increases, depth of field decreases. This is due to the relationship between magnification, focal length, and aperture. By increasing the aperture, you can maintain a larger depth of field while increasing magnification.

Learn more about magnification at:

https://brainly.com/question/27872394

#SPJ11

The maximum torque on a 150-turn square loop of wire 18.0 cm on a side that carries a 36.4 a current in a 1.60 t field is 283.04 N m.

1) torque on the loop will be :

T = N*I*L^2*B*sin(90)

T = 150*36.4*0.18*0.18*1.6

T = 283.04 N m

2) T = 283.04*sin(10.9)

T = 53.52 Nm

3) I = T/N*area*B

I = 9/36.4*3.14*0.364*0.364*0.8

I = 0.082 A

Current = 0.082 A

Necklace is the rotational fellow of direct force.( 1) It's also appertained to as the moment of force( also shortened to moment). It represents the capability of a force to produce change in the rotational stir of the body.

The conception began with the studies by Archimedes of the operation of regulators, which is reflected in his notorious quotation" Give me a switch and a place to stand and I'll move the Earth". Just as a direct force is a drive or a pull, a necklace can be allowed of as a twist to an object around a specific axis.

Learn more about Maximum torque:

https://brainly.com/question/29492855

#SPJ4

The steam turbine generator has the highest energy efficiency among the listed devices.

A device that turns steam into energy is called a steam turbine generator. A generator and a steam turbine are its two major parts.

The steam turbine is an apparatus that turns a group of blades attached to a shaft using high-pressure steam. The steam expands as it moves over the blades, speeding up the shaft's rotation. The steam is then recycled for future use after being condensed back into liquid form.

An apparatus that transforms mechanical energy into electrical energy is a generator. The generator's rotor, which rotates inside a group of stationary coils while the steam turbine's revolving shaft connects to it, produces an electromagnetic field that generates an electrical current.

The energy conversion efficiency of a steam turbine generator can reach up to 50%, which is substantially higher than that of an incandescent light bulb or a car engine. Around 10% of the energy used by incandescent light bulbs is converted into visible light, with the remaining energy being wasted as heat. The average energy conversion efficiency of an automobile engine is roughly 25%, which means that only 25% of the fuel's energy is turned into usable work and the remaining 75% is lost as heat.

To know more about steam turbine generators, visit:

https://brainly.com/question/24322350

#SPJ4

The intensity of the sound waves to a listener 93.52 m from the band is approximately [tex]6.75 *10^{-7} W/m^2[/tex].

The formula for sound intensity is:

[tex]I = P/(4\pi r^2)[/tex]

where I is the intensity of the sound, P is the power of the sound source, and r is the distance from the sound source.

In this case, the power of the banjo band is 67.05 W, and the distance from the listener to the band is 93.52 m. Substituting these values into the formula, we get:

[tex]I = 67.05 W/(4\pi(93.52 m)^2)[/tex]

Simplifying this expression, we get:

[tex]I = 6.75 *10^{-7} W/m^2[/tex]

Therefore, the intensity of the sound waves to a listener 93.52 m from the band is approximately [tex]6.75 *10^{-7} W/m^2[/tex]. This is a relatively low value, as the threshold of hearing for most humans is around [tex]1 * 10^{-12} W/m^2[/tex]. However, the actual loudness of the sound heard by the listener will also depend on the sensitivity of the human ear and other factors.

Learn more about sound intensity :

https://brainly.com/question/30101270

#SPJ4

The total energy of the ball at the top of its flight path is 224.2 Joules.

To determine the total energy of the ball at the top of its flight path, we need to consider the ball's kinetic energy and potential energy.

First, let's find the maximum height the ball will reach. At the top of its flight path, the ball will have no vertical velocity, so we can use the equation:

[tex]v_f^2 = v_i^2 + 2ad[/tex]

where[tex]v_f[/tex]is the final velocity (0 m/s), [tex]v_i[/tex] is the initial velocity (32 m/s), a is the acceleration due to gravity [tex](-9.8 m/s^2)[/tex], and d is the maximum height. Solving for d, we get:

[tex]d = (v_f^2 - v_i^2)/(2a) = (0 - (32 m/s)^2)/(2*(-9.8 m/s^2)) = 51.8 m[/tex]

Next, let's find the kinetic energy of the ball at the top of its flight path. Since the ball has no vertical velocity at this point, we can use the horizontal velocity to find the kinetic energy. The horizontal velocity is:

[tex]v_x = v_i cos(30o) = 27.7 m/s[/tex]

The kinetic energy is:

[tex]K = (1/2)mv_x^2 = (1/2)(0.25 kg)(27.7 m/s)^2 = 96.4 J[/tex]

Finally, let's find the potential energy of the ball at the top of its flight path. The potential energy is:

U = mgh = [tex](0.25 kg)(9.8 m/s^2)(51.8 m)[/tex] = 127.8 J

The total energy at the top of the ball's flight path is the sum of the kinetic and potential energy:

E = K + U = 96.4 J + 127.8 J = 224.2 J

Therefore, the total energy of the ball at the top of its flight path is 224.2 Joules.

Learn more about energy, here:

https://brainly.com/question/1932868

#SPJ1

Answer: Determine if the electricity is flowing.

Explanation:

If I have this correct, with how you said it, it's to make sure the electricity is flowing because you can actually see it when it's on and off to tell the difference!

Yes, the distance between charged objects affects the magnitude of electrostatic interactions between them.

The relevant evidence is based on Coulomb's Law, which states that the electrostatic force between two point charges is directly proportional to the product of the charges and inversely proportional to the square of the distance between them.

The formula for Coulomb's Law is:

F = k * (q1 * q2) / r^2

where F is the electrostatic force, q1 and q2 are the charges of the two objects, r is the distance between them, and k is Coulomb's constant (a fundamental constant in physics).

The evidence for this relationship is observed through various experiments, such as:

The experiment involving charged conductors: Two charged conductors were placed at a certain distance from each other, and the magnitude of the electrostatic force between them was measured. The experiment was repeated several times, each time with the conductors placed at a different distance from each other. The results showed that the magnitude of the electrostatic force decreased as the distance between the conductors increased, and it followed an inverse square law relationship.

The experiment involving charged balloons: Two balloons with the same charge were suspended from a ceiling and were initially close to each other. When the balloons were moved away from each other, the electrostatic force between them decreased. This indicated that the force was dependent on the distance between the balloons.

The experiment involving charged particles: Particles with opposite charges were accelerated toward each other, and the force between them was measured at different distances. The results showed that the force decreased as the distance between the particles increased, following an inverse square law relationship.

These experiments provide evidence that the distance between charged objects affects the magnitude of electrostatic interactions. As the distance between the objects increases, the force between them decreases, according to Coulomb's Law. This relationship is fundamental to our understanding of electrostatic interactions and is applied in various fields, such as electricity and magnetism, particle physics, and chemistry.

Learn more about electrostatic here :

brainly.com/question/9774180

#SPJ4

The charge is positive.

We know that a charge can be positive or negative. We can see that the question is showing us the way that we can be able to obtain the magnitude of the charge that is labelled Q1 when we have the charges Q2 and Q3.

The charge Q2 can be see to be sandwiched in between Q 1 and Q2. We have seen the solution to the problem in the image that have been attached.

To know if the charge is positive or negative, we look at the sign attached to the magnitude of the charge.

Learn more about charge:https://brainly.com/question/3412043

#SPJ

The value of charge Q1 is - 20 μC.

option A.

The value of charge Q1 is calculated by applying Coulomb's law of electrostatic force.

F = kq₁q₂/r²

where;

F (net) = Q12 + Q23 = 0

The force between charge 1 and 2 is calculated as;

F (12) = ( 9 x 10⁹ x 10 x 10⁻⁶ x Q1 ) / ( 2a)²

F (12) = 22,500 (Q1/a²)

The force between charge 2 and 3 is calculated as;

F (23) =  ( 9 x 10⁹ x 10 x 10⁻⁶ x 5 x 10⁻⁶) / (a)²

F(23) = (0.45) /(a²)

22,500 (Q1/a²) + (0.45) /(a²) = 0

22,500 (Q1/a²)  = -  (0.45) /(a²)

22,500Q1 = -0.45

Q1 = -0.45 / 22,500

Q1 = - 2 x 10⁻⁵ C

Q1 = -20 x 10⁻⁶ C

Q1 = - 20 μC

Learn more about electrostatic force here: https://brainly.com/question/17692887

#SPJ1

As one scale for another, both scales are connected. One unit on the Kelvin scale is equivalent to one degree on the Celsius scale. The zero points of the thermometer are the only distinction between these two scales.

Because the zero point is the absolute limit of how cold anything can become, the Kelvin temperature scale is also known as the absolute temperature scale. i.e., the temperature at absolute zero is  [tex]-273[/tex]Degrees Celsius (0 K).

Absolute zero (0 K) on the Kelvin scale is the temperature at which a gas's volume is zero. Since it is below zero on all temperature scales, it is the lowest possible temperature. Thus, -273.15 oC is the Kelvin scale's zero.

With the non-scientific temperature scales, absolute zero isn't even zero. The temperature is -273.15 degrees Celsius, or -459.67 degrees Fahrenheit.

Therefore, The kelvin scale has its zero set to absolute zero, which is the lowest possible temperature that exists in the universe.

Learn more about kelvin scale here:

https://brainly.com/question/13290721

#SPJ4

If a meteor with a 20 m in diameter impacts Earth on land, approximately the crater will be 200-400m in diameter long.

The size of the crater created by a meteorite impact depends on several factors, such as the composition of the meteorite and the density of the material it impacts. Generally speaking, a 20 m in diameter meteorite would create a crater with a diameter between 200 and 400m. A few meters to several hundred meters can make up the crater's depth.  A crater will most likely be created at the point of impact when a meteor impacts a planet. The size of the crater will increase as the object moves faster and becomes larger or heavier. The biggest predictors of impact crater size are the meteor's mass and velocity.

To learn more about density click here https://brainly.com/question/943734

#SPJ4

The speed of the plane in still air is 600 mph. the flight from Atlanta to san diego is against the wind and takes 4 hr. the return flight with the wind takes 3.5 hr.

Speed is calculated by dividing the distance traveled by the distance's travel time. The equation can be used to determine speed: Speed is defined as the product of distance divided by time, and the unit of speed is the product of distance divided by time.

Velocity is the pace and direction of an object's movement, whereas speed is the time rate at which an object is traveling along a path. In other words, velocity is a vector, whereas speed is a scalar value.

Let x mph be the speed in still air. Then flight against the wind is at (x-40)mph and with the wind is (x+40)mph

3.5 (x+40) =4(x-40)

3.5x +140 = 4x - 160

3.5x - 4 x = -160 - 140

-0.5x = -300

x = 300/0.5

x = 600 mph

To know more about the speed visit;

https://brainly.com/question/13943409

#SPJ4

They experience the same size force. Both car and dump truck will experience the force of same magnitude. The main difference is the change in acceleration which is greater for smaller car.

Collision is when two or more objects collide with each other, either directly or indirectly. In physics, collision is defined as the interaction between two or more bodies, where the total kinetic energy of the two bodies before the collision is greater than the sum total of the entire kinetic energy of the two bodies after the collision.

Collisions can involve two or more objects and can be elastic or inelastic. Elastic collisions involve objects that bounce off of each other and inelastic collisions involve objects that stick together after the collision. Collisions can also involve two or more particles, where the particles interact and exchange energy, momentum and angular momentum.

Both car as well as the dump truck will experience the force of same magnitude.

To learn more about collision:

brainly.com/question/4403635

#SPJ4

Using the wave equation, the velocity of the wave on the string can be calculated as 55.0 m/s. Using this, the tension needed to tune the string can be calculated as 1,101 N.

The frequency of a vibrating string is directly proportional to the tension in the string and inversely proportional to its length. This means that as tension increases, the frequency of the string also increases, while a decrease in length will result in a higher frequency as well. The relationship between tension, frequency, and length of a vibrating string is described by the wave equation, which states that the speed of the wave (and hence the frequency) is equal to the square root of the tension divided by the linear density of the string, multiplied by the reciprocal of the length.

To know more about Frequency visit:

https://brainly.com/question/5102661

#SPJ4

Exothermic reactions have negative enthalpy because they release more energy than they take in. Consider this to be the quantity of heat that is emitted from (or removed from) the reaction.

A reaction is endothermic and will have a positive enthalpy if it absorbs or utilises more energy than it produces.

Energy is needed to dissociate atom bonds. It is liberated by forming new bonds.

The energy needed to dissolve the bonds between the reactants less the energy produced during the creation of new bonds in the products is the enthalpy of the reaction.

Examining the enthalpy changes during methane burning

In this reaction, the bonds between the oxygen atoms and the carbon atoms as well as the hydrogen atoms and carbon atoms are severed. These connections must be broken, which causes the reaction to consume energy.

New bonds then develop between carbon and oxygen as well as between hydrogen and oxygen.

Learn more about Enthalpy here:

https://brainly.com/question/13996238

#SPJ4

Addition work required to move spring by extra 10cm is 12J.

Define sprint constant.

A restoring force that is proportional to the spring's displacement is stored in a spring when it is compressed or relaxed. The force needed to extend or compress a spring by a unit length is specified by the spring constant. The stiffness constant is another name for it.

According to Hooke's Law, the force required to compress or lengthen a spring is inversely related to the length of the spring. By deducting the initial work from the overall job or the completed work, additional work can be computed.

Work done = 1/2 kx^2

x1 = 10cm = 0.1m

x2 = 10+10 = 20cm = 0.2m

W1 = 4J

W1 = 4 = 1/2 k *0.1*0.1

k = 4*2 /0.01 = 800N/m

W2 = 1/2 *800*0.2*'0.2

W2 = 400*0.04 = 16J

So required work is W = W2-W1

W 16-4 = 12J

To learn more about sprint constant use link below:

https://brainly.com/question/22712638

#SPJ1

The linear velocity in miles per hour of the tip of the lawnmower blade spinning at 2500 revolutions per minute in a lawnmower that cuts a path 22 inches wide is approximately 2.724 miles per hour.

To determine the linear velocity in miles per hour of the tip of the lawnmower blade, we need to use the following formula:

v = ωr

Where:

v is the linear velocity of the tip of the lawnmower blade in miles per hour

ω is the angular velocity of the lawnmower blade in radians per minute

r is the radius of the lawnmower blade.

We know that the lawnmower blade is spinning at 2500 revolutions per minute. To convert revolutions per minute to radians per minute, we need to multiply by 2π. So, the angular velocity of the lawnmower blade is: ω = 2500 rpm * 2π/60 = 261.66 rad/min

The lawnmower blade's radius is half the width of the path it cuts. Since the path is 22 inches wide, the radius is: r = 22 inches / 2 = 11 inches. To convert inches to miles, we need to divide by 63,360 (the number of inches in a mile). So, the radius in miles is:

r = 11 inches / 63,360 inches/mile = 0.0001736 miles

Now, we can use the formula to find the linear velocity:

v = ωr = 261.66 rad/min * 0.0001736 miles = 0.0454 miles/min

To convert miles per minute to miles per hour, we need to multiply by 60. So, the linear velocity in miles per hour is:

v = 0.0454 miles/min * 60 min/hour = 2.724 miles/hour

To learn more about linear velocity, visit here

brainly.com/question/13723307

#SPJ4

Linear velocity in miles per hour of the tip of a lawnmower blade spinning at 2500 revolutions per minute in a lawnmower that cuts a path that is 22 inches wide is 2.724 miles per hour.

Velocity is the rate of change in position of an object with the specific time period or time range  . When the object moves along a straight path or the linear path with a particular velocity than that velocity is termed linear velocity. It is given as the ratio of distance covered to time.

The linear velocity formula is v = d/t.

v = ωr

v is linear velocity

ω is angular velocity

 r is radius

v = ωr = 261.66 rad/min * 0.0001736 miles = 0.0454 miles/min

v = 0.0454 miles/min * 60 min/hour = 2.724 miles/hour

Angular velocity is basically a time rate at which an object rotates, or an object revolves, about an axis, or the rate at which angle of the body changes.

Learn more about velocity here:-

brainly.com/question/17127206

#SPJ4

Ammeter with internal resistance of 1.0 Ω, gives reading of 2.0 A.

To determine the ammeter reading, calculate the total resistance of the circuit and then use Ohm's law to find the current.

The total resistance of the circuit is the sum of the resistance of the 2.0 Ω resistor and the internal resistance of the ammeter, which gives,

R_total = R_1 + R_ammeter = 2.0 Ω + 1.0 Ω = 3.0 Ω

Using Ohm's law, calculate the current in the circuit,

I = V / R_total

where V is the voltage of the power supply.

Substituting the given values,

I = 6.0 V / 3.0 Ω = 2.0 A

Therefore, the ammeter reading is 2.0 A.

To know more about the Ohm's law, here

brainly.com/question/12865879

#SPJ4

The blower uses 100 volts of the difference in potential when consumes current of 3 c/s in a time of 5.10min

The bulb is filled with a gas, typically a mixture of nitrogen and argon, that reduces the oxygen in the bulb to help stop the filament from burning. A filament with a high electric current resistance is made of a special wire, usually tungsten.

First, we should convert the power and the time:

Power of blower = 3.0 x 10² J/s

                         = 3.0 x 10² W

Time = 5.10 min

                         = 5.10 x 60 s

                                 = 306 s

Now, Charge = I × t

                        = 3 A × 306 s

                                      = 918 C

Finally, we can calculate the potential difference consumed:

                             ΔV = P × t / Q

                          ΔV = (3.0 x 10² W) × (306 s) / (918 C)

                               ΔV = 100 V

An electrical circuit is completed when a switch is turned on, allowing electric current to flow through its wires. Through the switch, along the wires, and into the light bulb, the current flows from the power source.

Learn more about potential difference :

brainly.com/question/25895069

#SPJ1

Answer:

a = 2.25 m/s^2

Explanation:

The solution is in the image. Also, knowing this picture is from a Schoology assessment page, if this is a test, try to solve the question yourself before asking for help. Also, specify which part you need help on.

The approximate arc length of one slice of pie when a pie is cut into 6 pieces if the diameter of the pie is 10 inches is 5π/3in.

Given the diameter of apple pie (d) = 10 inches

Then, the radius of each piece (r) = 10/2 = 5 inches

The number of apple pieces = 6

Let the angle made by each apple piece = θ

Let the arc length = L

We know that the circumference of the circle is represented as:

C = 2πR = 2π*5 (in) = 10π (in)

When a pie is sliced into six equal pieces, the circumference is also divided into six equal arcs, which equals 10π/6 (in) = 5π/3 (in)

To learn more about radius click here https://brainly.com/question/9098982

#SPJ4

complete question: A pie is cut into 6 pieces if the diameter of the pie is 10 inches. what is the approximate arc length of one slice of pie?

Pie = symbol

A- 10pie / 3

B- pie

C- 5pie / 6

D- 5pie / 3

The values of electron mobility (µn) and hole mobility (µp) are 400 cm2/V·s and 150 cm2/V·s, respectively, the electrical conductivity can be calculated using formula: σ = ne(µn + µp)

Where σ is the electrical conductivity in units of S/m (siemens per meter), n is the charge carrier density in units of m-3, and e is the elementary charge in units of coulombs.

Converting  given mobilities to SI units, we have:

µn = 4.0 × 10-3 m2/V·s

µp = 1.5 × 10-3 m2/V·s

T = 490 K

Substituting values :

σ = ne(µn + µp)

= (1019 cm-3) × (1 m/100 cm)3 × (1.6 × 10-19 C) × (4.0 × 10-3 m2/V·s + 1.5 × 10-3 m2/V·s)

= 6.496 S/m

To know more about Electrical conductivity, here

https://brainly.com/question/29765686

#SPJ4

The sensor should say that the goalkeeper absorbed about 216.998 J of energy when blocking the soccer ball, not accounting for wind and drag.

To calculate the energy absorbed by the goalkeeper, we can use the law of conservation of energy, which states that the initial energy of the ball before the kick is equal to the sum of the kinetic and potential energy after the kick and after the ball is blocked by the goalkeeper. We can assume that the ball is initially at rest before the kick, so the initial energy is zero.

The final kinetic energy of the ball after the kick can be calculated as:

[tex]KE1 = (1/2)mv1^2[/tex]

where m is the mass of the ball (converted to kg) and v1 is the velocity of the ball after the kick. Substituting the given values, we get:

[tex]KE1 = (1/2) (0.454 kg) (31 m/s)^2[/tex] = 218.147 J

The potential energy of the ball at this point is also zero since it is on the ground.

When the goalkeeper blocks the ball, the kinetic energy of the ball is transferred to the goalkeeper, so the energy absorbed by the goalkeeper is equal to the kinetic energy of the ball before it was blocked. The final kinetic energy of the ball can be calculated as:

[tex]KE2 = (1/2)mv2^2[/tex]

where v2 is the velocity of the ball after it is blocked and rolls back toward the player. Substituting the given values, we get:

[tex]KE2 = (1/2) (0.454 kg) (2.25 m/s)^2[/tex] = 1.149 J

The energy absorbed by the goalkeeper is then the difference between the initial kinetic energy of the ball and the final kinetic energy of the ball:

Energy absorbed = KE1 - KE2 = 218.147 J -1.149 J =  216.998 J

Therefore, the sensor should say that the goalkeeper absorbed about 216.998 J of energy when blocking the soccer ball, not accounting for wind and drag.

For more such questions on energy: brainly.com/question/8630757

#SPJ4

The work done by the hoist to lift the 200-kg rock to a height of 3 meters is 5880 joules, assuming an acceleration due to gravity of 9.8 m/s^2 and no angle between the force and direction of motion.

Acceleration due to gravity is a physical constant that describes the acceleration experienced by objects near the Earth's surface due to the force of gravity. The acceleration due to gravity is denoted by the symbol "g" and has a numerical value of approximately 9.8 meters per second squared (m/s^2) at sea level. This means that if an object is dropped from a height of, say, 10 meters, it will accelerate towards the Earth's surface at a rate of approximately 9.8 m/s^2. The acceleration due to gravity is a vector quantity, which means it has both magnitude and direction. Its direction is always towards the center of the Earth.

The work done by the hoist to lift the rock can be calculated using the formula:

Work = force x distance x cos(theta)

where force is the upward force exerted by the hoist on the rock, distance is the vertical distance lifted, and theta is the angle between the force and the direction of motion.

In this case, the force is equal to the weight of the rock, which is given by:

force = mass x acceleration due to gravity

= 200 kg x 9.8 m/s^2 = 1960 N

The distance lifted is 3 meters, and the angle between the force and the direction of motion is 0 degrees, since the force is directly upward and the motion is also upward.

Therefore, the work done by the hoist is:

Work = 1960 N x 3 m x cos(0) = 5880 J

So the hoist does 5880 joules of work to lift the 200-kg rock to a height of 3 meters.

To know more about Accelaration due to Gravity, visit:

https://brainly.com/question/88039

#SPJ4

The magnitude of the electric field at that point is 2 × 10⁷ N/C.

The electric field at a point can be determined from the force experienced by a charge at that point, using the equation:

E = F/q

where;

In this case, the force experienced by a charge of 1 μC (or 1 × 10^-6 Coulombs) is 0.02 N, so the electric field can be calculated as follows:

E = F/q = 0.02 N / (1 × 10^-6 C)

E = 2 × 10⁷ N/C

Learn more about electric field here: https://brainly.com/question/14372859

#SPJ1