A 0. 068-kg ball strikes a wall with a velocity of 22. 1 m/s. The wall stops the ball in 0. 63 s. What is the magnitude of the
force applied by the wall on the ball?

a. 5. 3n
b. 4. 2n
c. 12n
d. 2. 4n

Prima facie means the evidence is valid on its face, or based on the evidence, and the elements.

Prima facie, a Latin phrase that means "at first glance" or "based on first impression," The feminine versions of primus, which means "first," and facies, which means "face," both in the ablative case, would be translated literally as "at first face" or "at first appearance." "On the face of it" is a typical translation in contemporary, colloquial, and conversational English.

Prima facie refers to the initial appearance of enough supporting evidence to establish a case, and it is used in modern legal English (both in civil law and criminal law). Prima facie evidence is a term used in common law regimes to describe evidence that, absent rebuttal, would be sufficient to establish a certain claim or fact. In academic philosophy, the phrase is used similarly.

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The mass of the substance is 15 g,determined using the specific heat and heat energy values.

The specific heat capacity (c) of a substance is the amount of heat energy required to raise the temperature of 1 gram of that substance by 1 degree Celsius. In this case, the specific heat of the substance is given as 1.2 J/g°C.

To find the mass of the substance, we can use the formula:

Heat energy (Q) = mass (m) × specific heat (c) × change in temperature (ΔT)

Given that the heat energy required is 350 J, the specific heat is 1.2 J/g°C, and the change in temperature is (30.0°C - 10.0°C) = 20.0°C, we can rearrange the formula to solve for the mass:

350 J = m × 1.2 J/g°C × 20.0°C

Dividing both sides of the equation by (1.2 J/g°C × 20.0°C), we find:

m = 350 J / (1.2 J/g°C × 20.0°C) = 14.58 g

Rounding to the nearest whole number, the mass of the substance is approximately 15 g.

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(a) The tangential speed of the discus at the release is 15 m/s.

(b) The centripetal acceleration of the discus is 225 m/s².

(c) The centripetal force on the discus is 360 N.

The given parameters;

The tangential speed of the discus at the release is calculated as follows;

\(v = \omega r\\\\v = 15 \ rad/s \ \times 1 \ m\\\\v = 15 \ m/s\)

The centripetal acceleration of the discus is calculated as follows;

\(a_c = \frac{v^2}{r} \\\\a_c = \frac{15^2}{1} \\\\a _c = 225 \ m/s^2\)

The centripetal force on the discus is calculated as follows;

\(F_c = ma_c\\\\F_c = 1.6 \times 225\\\\F_c = 360 \ N\)

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Given:

Mass, m = 3.5 kg

Initial temperature, T1 = 20°C

Final temperature, T2 = Boiling point of water = 100° C

Part (a).

Let's find the amount of energy needed.

Apply the specific heat capacity formula:

Where:

c is the specific heat capacity of water = 4.187 kJ/g °C

Thus, we have:

Where:

1 kJ = 0.239 kCal

1172.36 kJ = 1172.36 x 0.239 = 280.19 kCal

Therefore, the heat needed is 280.19 kCal.

Part B.

Given:

Cost = 13¢ per kWh

Where:

1 kCal = 0.00116 kWh

280.19 x 0.00116 = 0.327 kWh

Since the charge for is 13 ¢ per kWh, we have:

13 x 0.327 = 4.251 ¢.

Therefore, the cost, if electrical energy were used, will be 4.251 ¢

ANSWER:

• (a). 280.19 kCal

• (b)., ,4.251 ¢.

Answer:

A) Sue is lifting the bucket by a force of 49.035 newtons.

B) The bucket has an acceleration of 8.207 meters per square second on the Moon.

Explanation:

A) According to the First Newton's Law, a system is at equilibrium when it is either at rest or travelling at constant velocity. In this case, Sue must exert an external force on the bucket, whose magnitude is equal to the weight of the bucket but direction is opposed to it. By Second Newton's Law, we find that:

\(\Sigma F = F - m\cdot g = 0\) (1)

Where:

\(F\) - Lifting force, measured in newtons.

\(m\) - Mass of the bucket, measured in kilograms.

\(g\) - Gravitational acceleration, measured in meters per square second.

If we know that \(m = 5\,kg\) and \(g = 9.807\,\frac{m}{s^{2}}\), then the lifting force is:

\(F = m\cdot g\)

\(F = (5\,kg)\cdot \left(9.807\,\frac{m}{s^{2}} \right)\)

\(F = 49.035\,N\)

Sue is lifting the bucket by a force of 49.035 newtons.

B) By the Second Newton's Law, we have the following model:

\(\Sigma F = F-m\cdot g = m\cdot a\) (2)

Where \(a\) is the net acceleration of the bucket, measured in meters per square second.

If we know that \(F = 49.035\,N\), \(m = 5\,kg\) and \(g = 1.6\,\frac{m}{s^{2}}\), then the net acceleration of the bucket is:

\(a = \frac{F}{m} -g\)

\(a = \frac{49.035\,N}{5\,kg}-1.6\,\frac{m}{s^{2}}\)

\(a = 8.207\,\frac{m}{s^{2}}\)

The bucket has an acceleration of 8.207 meters per square second on the Moon.

(a) The force applied by Sue in lifting the bucket at a constant velocity is 49 N.

(b) The acceleration of the bucket when lifted on the moon is 8.2 m/s².

The given parameters;

The force applied by Sue in lifting the bucket at a constant velocity is calculated as;

\(F = m(a + g)\)

\(F= mg\\\\F = 5 \times 9.8\\\\F = 49 \ N\)

The acceleration of the bucket when lifted on the moon with the calculated force is;

\(F = m(a + g)\\\\a+g = \frac{F}{m} \\\\a = \frac{F}{m} - g\\\\a = \frac{49}{5} - 1.6\\\\a = 8.2 \ m/s^2\)

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Answer:

Jupiter Neptune moon Uranus

Explanation:

The positions to be considered are the position of the acorn and the earth.

The potential energy is the energy that is possessed by a body by virtue of its position. Hence, the potential energy of a body changes as its position changes.

Hence, to determine how the potential energy of the acorn changes in relation to the earth, the positions to be considered are the position of the acorn and the earth.

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The property of a transverse wave that stays the same even as the wave's energy and other properties change is the wavelength.

The correct option to the given question is option a.

The wavelength is the distance between two successive points of the wave that are in phase. As the wave's energy and amplitude change, the distance between two successive points of the wave that are in phase remains the same.

This is because wavelength is determined by the frequency of the wave and the speed of propagation. The frequency of the wave is the number of cycles of the wave that occur in one second, while the speed of propagation is the rate at which the wave travels through a medium.

If the frequency of the wave and the speed of propagation remain the same, then the wavelength will also remain the same even as the wave's energy and other properties change. This property is known as the characteristic of the wave.The amplitude is the maximum displacement of a point on the wave from its rest position. The frequency is the number of cycles of the wave that occur in one second. The rest position is the position of the medium when it is not disturbed.

Hence, wavelength of a transverse wave remains same even as the wave's energy and other properties change.

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Answer:

Hello!

I do not have all ten listed out, however I can show you how to find out. First things first understand what the numbers mean on the table of elements. The number at the top is the atomic number. This represents how many protons an element has. This is also how many neutrons it has, because there is always the same number of protons and neutrons. The number at the bottom is the atomic mass. This is how much the atom weighs. To find the first 10 look for the elements with atomic numbers 1-10. It should be easy. I’ll give you the first one for example.

Hydrogen is the element with a atomic number of 1. Its atoms contain

-1 proton

- 1 neutron

-1 electron (also note the amount of electrons is equal to the amount of protons and neutrons)

Hydrogens atomic mass is (1.00784 u)

Lastly the symbol for hydrogen is (H)

Hope this helps!!!

The time it will take to fill the bucket completely is 163.3 seconds.

To calculate how long it takes to fill the bucket completely, we can use the equation for volume flow rate:

Q = A * v

Where Q is the volume flow rate, A is the cross-sectional area of the faucet, and v is the speed of the water. We can rearrange this equation to solve for time:

t = V / Q

Where t is the time it takes to fill the bucket, and V is the volume of the bucket.

Plugging in the values given in the question, we get:

A = π * r^2 = π * 0.0078^2 = 0.00019 m^2

v = 0.61 m/s

V = 0.0189 m^3

Substituting these values into the equation for volume flow rate, we get:

Q = 0.00019 m^2 * 0.61 m/s = 0.0001159 m^3/s

Substituting these values into the equation for time, we get:

t = 0.0189 m^3 / 0.0001159 m^3/s = 163.3 s

Therefore, it takes Elaine approximately 163.3 seconds, or 2 minutes and 43 seconds, to fill the bucket completely.

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48 m/s in terms of km/h is 720.8 km/h. In terms of m/min is 2880 m/min, in terms of km/s is 0.048 km/s and in terms of km/min is 2.88 km/min.

To solve this question, we need to understand some terms. The unit of velocity is measured in m/s. It can be expressed in different units of velocity.

1 km (kilometer) = 1000 meter

1 h (hour) = 3600 seconds

1 minutes = 60 seconds

To convert m/s into km/h,

48 m/s * 3600/1000 =  172.8 km/h

To convert m/s into m/min,

48 m/s * 60 = 2880 m/min

To convert m/s into km/s,

48 m/s ÷ 1000 = 0.048 km/s

To convert m/s into km/minutes,

48 m/s * 60 / 1000 = 2.88 km/min

Therefore, the 48 m/s expressed is 172.8 km/h, 2880 m/min, 0.048 km/s and 2.88 km/min.

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48 m/s is equivalent to  172.8 km/h, 2880 m/min, 0.048 km/s, and 2.88 km/minute.

To express 48 m/s in different units of velocity:

km/h (kilometers per hour):

To convert m/s to km/h, we can use the conversion factor of 3.6 since 1 m/s is equal to 3.6 km/h.

48 m/s * (3.6 km/h / 1 m/s) = 172.8 km/h

Therefore, 48 m/s is equivalent to 172.8 km/h.

m/min (meters per minute):

To convert m/s to m/min, we can use the conversion factor of 60 since there are 60 seconds in a minute.

48 m/s * (60 m/min / 1 s) = 2880 m/min

Therefore, 48 m/s is equivalent to 2880 m/min.

km/s (kilometers per second):

Since 1 kilometer is equal to 1000 meters, to convert m/s to km/s, we divide the value by 1000.

48 m/s / 1000 = 0.048 km/s

Therefore, 48 m/s is equivalent to 0.048 km/s.

km/minute (kilometers per minute):

To convert m/s to km/minute, we first need to convert m/s to km/s (as calculated in the previous step) and then multiply by 60 to convert seconds to minutes.

0.048 km/s * 60 = 2.88 km/minute

So, 48 m/s is equivalent to 2.88 km/minute.

Hence, 48 m/s is equivalent to approximately 172.8 km/h, 2880 m/min, 0.048 km/s, and 2.88 km/minute.

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Answer:

a. temperature of the substance increases.

Explanation:

Temperature is defined as a measure of the average kinetic energy of a substance, so as one rises, so will the other. They are directly proportional.

As the kinetic energy of the molecules in a substance increases, the temperature of the substance is also increases because kinetic energy and temperature is proportional to each other.

Kinetic energy is directly related to temperature which means if kinetic energy is increased, the temperature of the solution is also increased and vice versa.

So we can conclude that As the kinetic energy of the molecules in a substance increases, the temperature of the substance is also increases because kinetic energy and temperature is proportional to each other.

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Explanation:

formation of compounds because the electric forces compel the atoms to attract each other and formed bonds which leads to the formation of chemical compounds. The attractive or repulsive interaction between any two charged bodies is known as an electric force so the attraction between two opposite charged atoms causes the formation of compounds so we can conclude that electric forces are important for the formation of compounds.

Answer:

The time taken by it to hit the ground is 0.903 seconds.

Answer:

Explanation:

The frictional force is

=

28.71

N

Explanation:

Let

F

r

=

frictional force

and

F

=

the force applied

The net force acting on the object is

(

F

−

F

r

)

By Newton's second Law

(

F

−

F

r

)

=

m

a

where,

a

=

the acceleration

and

m

=

mass of the cart

So,

F

−

F

r

=

m

a

F

r

=

F

−

m

a

=

34.5

−

4.52

⋅

1.28

=

28.71

N

The change in the insects' coloration over time can be explained by evolution of insect body coloration under changing climates.

In studies on colour variety, its evolutionary causes, and the mechanical underpinnings of such variation, insects have served as important models. Recent research suggests that insect colour is adapting to the rapid climatic change. However, because a variety of biotic and abiotic factors can interact and mediate colour change, it is still difficult to determine the causes of colour variation within populations and species, as well as across space and time. Here, we discuss some of the difficulties and most recent developments in this area.

We begin by outlining the main competing theories for how climatic conditions affect insect colour variation.

Second, we examine the evidence that insect colour is now evolving adaptively in response to climate change.

Following this, we address elements that may help or hinder colour evolution in reaction to climate change. Finally, we suggest avenues for future work and identify gaps in this area of study.

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We need a force of  7500 in the opposite direction of the motion of the truck.

According to the first equation of motion

V= U  + a t

t = time taken

V= final velocity =0 (as truck will come to rest)

U = initial velocity = 90 km/hr = 25 m/sec

a = acceleration

a=  V- U / t

a =  0- 25 / 8

a =  - 3.125 m/\(sec^{2}\)

According newtons second law

F= m a

F =  2400  (- 3.125 m/\(sec^{2}\))

F=  - 7500 Newton

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The correct answer is d. 100% of the volume of the lines dosed. The dosing tank should be properly sized to ensure that the entire volume of the lines being dosed is covered by the dose. This ensures accurate and effective dosing.

Biologically effective radiation dose, appropriate for relating doses to effects on the human body, is the absorbed dose in gray. The biologically effective radiation dose, or the amount of radiation energy absorbed by an organism.

When studying the effects of radiation on humans, the most appropriate measure of radiation dose is the absorbed dose in Gray (Gy). Gray is a unit of measure that corresponds to the amount of energy absorbed by an organism per kilogram of tissue. It is the most accurate way of determining the amount of energy absorbed by a person, which is essential for assessing the risks associated with radiation exposure.

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Answer:

The earth has more gravity so that means if you jump out of a plane without a parachute u will die. But the moon has less gravity so u will not die when hit ground. But someone can probally explain it better than me.

More gravity equals more speed in some cases like falling

Answer:

dehydration, lots of sweating, heat stroke, heat exhaustion: nausea, dizziness, vomitting, diahreaa, headache

Explanation:

We have that for the Question"To avoid an accident, a car decelerates at 0.50 / 2 for 3.0 and covers 15 of road. What was the car’s initial velocity?" it can be said that  the car’s initial velocity is

From the question we are told

To avoid an accident, a car decelerates at 0.50 / 2 for 3.0 and covers 15 of road. What was the car’s initial velocity?

Generally the Newton's equation for the Motion   is mathematically given as

\(s=ut+1/2at^2\\\\Therefore\\\\15=ut+1/2(0.50/2)3^2\\\\u=\frac{15-(1/2(0.50/2)3^2)}{3}\\\\\)

u=4.625

Therefore

the car’s initial velocity is

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The current (I3) flowing through resistor three is not provided with the given information. To find the current, we would need the value of the total resistance (RT) which is not provided. Additionally, we would also need the value of R₁ and R₂ to calculate the total resistance.

A resistor is a passive electrical component that resists the flow of electrical current, reducing the current flowing through a circuit. They are often used to limit the current in a circuit, distribute power, or to adjust the voltage level in a circuit. They can be made of various materials such as carbon, metal film, and metal oxide, and are characterized by their resistance value measured in ohms (Ω).

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Answer:

B) Caused by the Sun

Explanation:

If you look at a picture of a solar system, you will see the sun in the middle. The sun is the powerhouse of the solar system. So that means that the sun is the biggest star and can provide enough light to reach earth and keep it lit.

The meaning of the word solar in the article "Fire Up the Sun" is caused by the sun so, option B is correct.

The sun is the star that the earth and the other planets in the solar system orbit. With more than 99 percent of the system's total mass, it is the dominant body. A portion of the tremendous quantity of energy coming from the Sun powers the light and heat that keep Earth habitable for life.

The sun is in the center of a solar system if you look at a picture of one. The solar system's center of gravity is the sun. This indicates that the sun is the largest star and that it can illuminate the earth and keep it bright.

The Sun is a G2 V star, which means that it has a surface temperature of roughly 5,800 kelvins (K), making it the second-hottest star in the yellow G class.

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Answer:

the maximum height of object is 7.34 meters

Answer:

the wagon should be used as frame of reference if an observer said the child was not moving.

Explanation:

The state of motion of a body depends upon the frame of reference. It is the set of co-ordinates according to which the motion is analyzed. If a child is riding in a wagon, then he will be considered in motion to a person standing outside the wagon. Hence, if we take a frame of reference outside the wagon then the child must be in motion with respect to the observer. On the other hand if the observer is inside the wagon, then the child must be in rest with respect to the observer. Hence, if we take the wagon to be the frame of reference, then the child will be at rest with respect to the observer.

Therefore, the wagon should be used as frame of reference if an observer said the child was not moving.

Complete Question:

A tungsten wire is 1.5 m long and has a diameter of 1.0 mm. A current of 60 mA flows through the wire. The resistivity of the wire is 5.6 * 10^-8 Ωm. What is the potential difference across the ends of the wire?

Answer:

Potential difference, V = 0.00642 Volts.

Explanation:

Given the following data;

Diameter = 1 mm to meters = 1/1000 = 0.001 m

Length = 1.5m

Current = 60mA = 60/1000 = 0.06 Amperes.

Resistivity = 5.6 * 10^-8 Ωm

To find the potential difference across the ends of the wire;

First of all, we would determine the cross-sectional area of the wire (circle);

\( Radius, r = \frac {diameter}{2} \)

\( Radius = \frac {0.001}{2} \)

Radius = 0.0005 m

Area of wire (circle) = πr²

Substituting into the above formula, we have;

Area  = 3.142 × (0.0005)²

Area = 3.142 × 2.5 × 10^-7

Area = 7.855 × 10^-7 m²

Next, we find the resistance of wire;

Mathematically, resistance is given by the formula;

\( Resistance = P \frac {L}{A} \)

Where;

P is the resistivity of the material.

L is the length of the material.

A is the cross-sectional area of the material.

Substituting into the formula, we have;

\( Resistance = 5.6 * 10^{-8} \frac {1.5}{7.855 * 10^{-7}} \)

\( Resistance = 5.6 * 10^{-8} * 1909611.712 \)

Resistance = 0.107 Ohms.

Now, we can find the potential difference using the formula;

\( V = IR\)

Where;

V represents voltage or potential difference measured in volts.

I represents current measured in amperes.

R represents resistance measured in ohms.

Substituting into the formula, we have;

\( V = 0.06*0.107\)

Potential difference, V = 0.00642 Volts.

Approximately 0.52 horsepower will be taken away from the propeller by the alternator producing 25 amps at 14 volts, assuming a mechanical efficiency of 90%.

To calculate the horsepower taken away by an alternator, we need to know the mechanical efficiency of the alternator. The mechanical efficiency represents the ratio of the mechanical power output to the electrical power input.

Assuming the mechanical efficiency of the alternator is 90%, we can calculate the electrical power input using the formula:

Electrical power input (in watts) = Voltage (in volts) × Current (in amperes)

Given that the alternator produces 25 amps at 14 volts:

Electrical power input = 14 V × 25 A = 350 watts

To calculate the mechanical power output, we divide the electrical power input by the mechanical efficiency:

Mechanical power output = Electrical power input / Mechanical efficiency

Mechanical power output = 350 watts / 0.9 = 388.89 watts

Now, we can convert the mechanical power output to horsepower. One horsepower is equal to 745.7 watts:

Horsepower = Mechanical power output (in watts) / 745.7

Horsepower = 388.89 watts / 745.7 = 0.52 horsepower

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The potential difference between the plates of a parallel-plate capacitor is determined by the plate separation, the charge of the object, and the angle of the thread. In this case, the potential difference (V) can be calculated as follows:

V = (Q * g* cosθ) / (2 * εo * d)

Where Q is the charge of the object, g is the acceleration due to gravity, θ is the angle of the thread, εo is the permittivity of free space, and d is the plate separation.

The electric field between the plates of a parallel-plate capacitor is determined by the potential difference between the two plates. This electric field (E) is calculated using the formula:

E = V/d

Where V is the potential difference between the two plates and d is the plate separation.

The capacitance of a parallel-plate capacitor is determined by the plate separation, the permittivity of free space, and the area of the plates. The capacitance (C) is calculated using the formula:

C = εo * A/d

Where εo is the permittivity of free space, A is the area of the plates, and d is the plate separation.

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Yes.  you would feel a force 20 N towards backward direction due to this.

The definition of force in physics is: The push or pull on a massed object changes its velocity.

An external force is an agent that has the power to alter the resting or moving condition of a body. A spring balance can be used to calculate the Force. The Newton is the SI unit of force.

"When one body exerts a force on the other body, the first body experiences a force that is equal in size in the opposite direction of the force which is exerted," according to Newton's third law of motion.

Hence, according to Newton's third law of motion, when you pushed them with forward (away from your) with a force of 15N, you would feel a force of equal magnitude (20 N) in opposite direction (backward direction).

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