A lion and a pig participate in a race over a 2.20 km long course. The lion travels at a speed of 18.0 m/s and the pig can do 2.70 m/s. The lion runs for 1.760 km and then stops to tease the slow-moving pig, which eventually passes by. The lion waits for a while after the pig passes and then runs toward the finish line. Both animals cross the finish line at the exact same instant. Assume both animals, when moving, move steadily at their respective speeds.
(a) How far (in m) is the pig from the finish line when the lion resumes the race? (b) For how long in time (in s) was the lion stationary?

Answer:

Explanation:

Focal length f = - 4 cm

Object distance u = - 10 cm

v , image distance = ?

Mirror formula

\(\frac{1}{v} +\frac{1}{u} = \frac{1}{f}\)

Putting the given values

\(\frac{1}{v} - \frac{1}{10} = - \frac{1}{4}\)

\(\frac{1}{v}= - \frac{3}{20}\)

v = - 6.67 cm .

magnification

m = v / u

= - 6.67 / - 10

= .667

so image will be smaller in size in comparison with size of object .

Characteristics will be that ,

1 ) it will be inverted and

2 ) it will be real image .

Answer:

The fraction of incident light or radiation reflected by a surface or body, commonly expressed as a percentage.

2.

biology The whitish inner portion of the rind of citrus fruits that is a source of pectin, commonly referred to as the pith.

Explanation:

After solving the equation the wave is traveling at a velocity of 3 m/s.

Velocity is a vector quantity that describes the rate at which an object changes its position. It is a measure of both the speed and the direction of an object. Velocity is typically expressed in terms of meters per second (m/s). When an object is in uniform motion, its velocity is constant, meaning that it is not changing in magnitude or direction. If an object is accelerating, its velocity is changing over time, either in magnitude, direction, or both.

The velocity of the wave can be calculated using the following equation:
Velocity = Wavelength x Frequency
In this case, the wavelength is 0.5 m and the frequency is 6 Hz (6 cycles per second). So, the velocity of the wave is:
Velocity = 0.5 m x 6 Hz = 3 m/s
This means that the wave is traveling at a velocity of 3 m/s.

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Answer:

it is a i

Explanation:

i took the quiz on edge 2020

Palace word best provides a context clue to the meaning of mead-hall. So, the correct option is A.

The royal residence, as well as occasionally a place of government or worship, is referred to as a palace. The Pontifical Hill in Rome, where the Ancient romans built their palaces, is whence the word was from.

A palace should be distinguished from a fortress, which was formerly any fortified residence, as a construction. A palace is a location with a regal and imposing structure that serves as a stately home such as a president, ruler, or leader's official residence.

Many old palaces have been turned into museums that depict what life was like for the king and aristocracy at the time they were erected. The context information provided by Palace term in the aforementioned example sheds light on the definition of mead-hall.

Therefore, the correct option is A.

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Answer:

Speed of lighter particle = -21.53 m/s

Speed of other particle = 3.8 m/s

Explanation:

Let mass of the lighter object be m

Thus mass of heavier object = 4m

Speed of lighter particle = 19 m/s

Speed of second particle with opposite direction = - ⅓(19) m/s = -19/3 m/s

Now, from the formulas of momentum before collision = momentum after collision, and also kinetic energy before collision = Kinetic Energy after collision, we have;

v_bf = [2m_a/(m_a + m_b)]v_ai + [(m_b - m_a)/(m_a + m_b)]v_bi

Now, in this question;

m_a = m

m_b = 4m

v_ai = 19

v_bi = -19/3 m/s

Thus;

v_bf = [2m/(m + 4m)]19 + [(4m - m)/(m + 4m)](-19/3)

Simplifying to get;

v_bf = 19(2m/5m) - (19/3)(3m/5m)

>> v_bf = 38/5 - 19/5

>> v_bf = 19/5 m/s

>> v_bf = 3.8 m/s

Similarly;

v_af = [(m_a - m_b)/(m_a + m_b)]v_ai + [2m_b/(m_a + m_b)]v_bi

v_af = 19((m - 4m)/(m + 4m)) - (19/3)((2 × 4m)/(m + 4m))

This gives;

v_af = 19(-3m/5m) - (19/3)(8m/5m)

v_af = -(57/5) - (152/15)

v_af = -323/15

v_af = -21.53 m/s

if 400m=2minutes then 3(400)=1200m in 2 minutes

Answer:

Momentum is Mass x Velocity.

Its pretty obvious that the 80kg student Moving at 4ms-¹ has more momentum.

80x4 = 320kgms-1

0.001x250= 0.25kgms-¹

The Second student also Has More Inertia. Inertia is the resistance to motion offered by a Body. An Object with greater mass has more tendency to resist Motion .

So

The 80Kg student wins all.

Answer:

i think it is 80 kg

Explanation:

Answer:

Yes

Explanation:

Yes. The momentum is the same when the speed of the tennis ball is 18 times greater than the speed of the basketball and the velocities of both objects are in the same direction.

Option A) 3.9 km is the correct answer. the magnitude of Rhea's displacement vector is approximately 3.92 km.

In order to find out the magnitude of Rhea's displacement vector, we have to add up all of the displacement vectors.

Then we can use the Pythagorean theorem to calculate the magnitude of the resultant vector.

Since Rhea is first driving north for 2.4 km and then west for 3.1 km, we can represent her displacement vectors as follows: Δx = 0 km and Δy = 2.4 km for the first vector, and Δx = -3.1 km and Δy = 0 km for the second vector.

We can then add these vectors together by adding their components: Δx = 0 km + (-3.1 km) = -3.1 km and Δy = 2.4 km + 0 km = 2.4 km.

This gives us a resultant vector of -3.1 km east and 2.4 km north.

Using the Pythagorean theorem, we can find the magnitude of this vector: \(\sqrt{(\(-3.1 km)^{2} + (2.4 km)^{2} ) } = \sqrt{(9.61 + 5.76) km^{2} } = \sqrt{15.37 km^{2} } \approx 3.92 km.\)

Therefore, the magnitude of Rhea's displacement vector is approximately 3.92 km.

Therefore, option A) 3.9 km is the correct answer.

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Answer: The correct answer for this is 10N

Explanation:

FORMULA

F= m x a

F = force

m = mass

a = acceleration

Using the formula

F= 10 x 5

Multiply

F= 10 N

so The answer 10 N is the correct selection

1. because A is more negative than B. A is -1000 V (we can imagine that A has excess 1000 electrons), in other, B which +3000 V can be assume that B need 3000 elctrons to be neutral. So, the electron will flow from A to B.

2. Electrons being negatively charged flow from the negative terminal to the positive terminal of the voltage source. So, the actual direction of current should be from negative to positive terminal. However, the conventional direction had already been established. So, the current flow is considered in the direction opposite to the direction of flow of electrons. (from topperlearning dot com)

true

Explanation:

computers have become a need in many businesses and homes we now living in a era of technology a computer is now a neccecity

The statement is True.

Personal computers have become an essential fixture in most businesses and households.

They have revolutionized the way we work, communicate, access information, and perform various tasks.

In the business world, personal computers are ubiquitous, serving as indispensable tools for productivity, data management, communication, and decision-making.

From small businesses to large corporations, computers have streamlined operations and enhanced efficiency.

Similarly, in homes, personal computers have become commonplace, enabling individuals and families to connect with the world, pursue online education, engage in entertainment, and manage various aspects of their lives.

With their versatility and functionality, personal computers have become an integral part of modern life, transforming the way we live and work.

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Answer:

Changes in climate conditions, especially the warming of global temperatures increases the likelihood of weather-related natural disasters. ... This is most visible when seen through changes in the intensity and frequency of droughts, storms, floods, extreme temperatures and wildfires.

Answer:

a) 24525 Newtons

b)240590.25 Joules

c)4009.8375 Watt

d)294300 Joules

Explanation:

a) Weight is a force, and can be calculated by multiplying mass by acceleration due to gravity. Earth's acceleration due to gravity is 9.81m/s/s. To find the water's weight, we multiply its mass (2500) by acceleration due to gravity.

W=mg

=(2500)(9.81)

=24525 Newtons

b) Work is calculated by multiplying force by distance. In this case, the force is the weight (as found in part a) and the distance is 16m.

W=fd

=(24525)(9.81)

=240590.25 Joules

c) Power is calculated by dividing the work by the time. In this case the work is our answer for part b and the time is sixty seconds.

P=w/t

=240590.25/60

=4009.8375 Watt

d) The first bit of part d tells us that (the waters potential energy)(0.75)=(electric energy). To find potential energy, multiply mass by acceleration due to gravity by height.

PE=mgh

=2500*9.81*16

=392400 Joules

Multiply by 0.75 to find electric energy: 294300 Joules

Answer:

1.931 kilometres is the answer of 1.2 miles

Answer and Explanation:

1 mile = 1.609 km

Set up a fraction to cancel the miles to get the kilometers.

\(\frac{1.2mi}{?km} *\frac{1.609}{1mi} = 1.9308km\) <- This is the answer.

#teamtrees #PAW (Plant And Water)

1,000 J of energy are needed to melt 10 g of a solid substance that is already at its melting point ,  the heat of fusion of the substance is 548 joules .

Heat of fusion, also known as enthalpy of fusion or latent heat of fusion, is the amount of energy required to melt or freeze a substance under constant pressure conditions. When it comes to chemistry, "fusion" is basically synonymous with "melting." In the classroom, heat of fusion is typically used when a substance is at its melting or freezing point. In such instances, most people consider heat of fusion to be a constant.

Water, for example, has a heat of fusion of 334 J/g at its melting point of 0°C. At 0°C, one grams  of liquid water requires 334 Joules of energy to completely freeze into ice. In addition, one grams of ice requires 334 Joules of energy to melt entirely.

q = m×∆Hf

q: Total change in heat energy (in Joules)

∆Hf: Heat of fusion of substance (in Joules per gram)

m: Mass of substance (in grams)

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Answer:

We are given:

m1 = 500 kg             m2 = 1500 kg

v1(initial) = x m/s       v2(initial) = 0 m/s

v1(final) = 20 m/s      v2(final) = 20m/s

According the the law of conservation of momentum:

m1v1(initial) + m2v2(initial) = m1v1(final) + m2v2(final)

Plugging the values in this formula:

(500*x) + (1500 * 0) = (500 * 20) + (1500 * 20)

500x = 20(1500 + 500)

500x = 20(2000)

x = 20 * 4

x = 80 m/s

Therefore, the car was initially moving at a velocity of 80 m/s

Answer:0.65606 -> 0.66

Explanation:

Press 2nd on your calculator then hit sin, this will give you the inverse of sin. enter 0.61 in the ( ) and then enter.

Answer:

12 dozen

Explanation:

Answer:

The table is proportional.

Explanation:

You would do 21/6 to get 3.5. Then 28/8 to get 3.5. After 35/10 to get 3.5. Finally 49/14 to get 3.5. If each answer (3.5) is the same than it is proportional.

hope i helped

Answer:

B.105

Explanation:

Non-zero digits are always significant.

Zeros between significant digits are also significant.

Trailing zeros are significant only after a decimal point.

0.015 has 2 significant figures.

105 has 3 significant figures.

150 has 2 significant figures.

1.050 has 4 significant figures.

The nondimensional initial and boundary conditions are: At ξ=0, θ(0,t)=0, At ξ=1, θ(1,t)=1 ,At t=0, θ(ξ,0)=0

A boundary is an imaginary line that marks the limits of an area. It is used to separate different areas and to define ownership. Boundaries can be physical, such as a fence or an invisible line that marks a property line. Boundaries can also be social, such as the division between two countries or cultures.

(i) The 1-D steady-state energy equation for conduction of heat in a slab is:

d2T/dx2 = (1/k) (q''/A)

where T is the temperature, x is the position, k is the thermal conductivity, q'' is the heat flux per unit area, and A is the area of the slab.

The initial and boundary conditions for the slab are:

At x=0, T(0,t)=T0=303 K

At x=D, T(D,t)=T1=623 K

At t=0, T(x,0)=T0=303 K

(ii) Nondimensionalizing the equation, we obtain:

d2θ/dξ2 = (1/β) (Φ/A)

where θ is the nondimensional temperature (θ=T-T0)/(T1-T0), ξ=x/D is the nondimensional position, β=kD/[A(T1-T0)] is the Biot number, and Φ=q''D/(A(T1-T0)) is the nondimensional heat flux.

The nondimensional initial and boundary conditions are:

At ξ=0, θ(0,t)=0

At ξ=1, θ(1,t)=1

At t=0, θ(ξ,0)=0

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Answer:

76rsfy7zfyuutfzufyztudzutdT7dFy9y8fr6s

Explanation:

rshyyjfshfsgfshfsyhrsyhuydtufhr6ra6yris7toe7r9w7rr6w996ryrowosotusuogsuoufsutot

Answer:

5s

Explanation:

s = ut + (1/2)at^2

45 = 1/2 x 3.6 x t^2

t = 5s

The tensile stress of the wire supporting 2 kg mass is determined as 6.1 x 10⁷ N/m².

The tensile stress of the wire is calculated as follows;

σ = F/A

where;

A = πr² = πD²/4

where;

A = π x (0.64 x 10⁻³)²/4

A = 3.22 x 10⁻⁷ m²

σ = F/A = (mg)/A = (2 x 9.8)/( 3.22 x 10⁻⁷)

σ = 6.1 x 10⁷ N/m²

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Grouping data refers to the process of categorizing or organizing data based on specific criteria or attributes.

It involves grouping similar data points together to gain a better understanding of patterns, relationships, and trends within the dataset. By grouping data, you can simplify complex information and derive meaningful insights from large amounts of data. The purpose of grouping data is to create subsets or clusters that share common characteristics.

This enables easier analysis, summarization, and comparison of data within each group. Grouping can be performed on various types of data, such as numerical, categorical, or time-based data. Grouping data allows for the exploration of data at different levels of granularity.

For example, you can group sales data by region to analyze regional performance, or group customer data by demographics to identify specific customer segments. This process helps in identifying outliers, detecting patterns, and making data-driven decisions.

Common techniques for grouping data include using functions like GROUP BY in SQL or utilizing data visualization tools to create charts or graphs that illustrate the grouped data. Grouping can be applied in various fields, such as marketing, finance, healthcare, and research, to uncover insights and support decision-making processes.

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Since no work is done, the power exerted is zero. Therefore, the man exerts no power on the wall.

In physics, force is defined as any action that can change the motion of an object or cause an object to accelerate. Force is a vector quantity, meaning that it has both magnitude (size or strength) and direction. The unit of force in the International System of Units (SI) is the Newton (N), which is defined as the amount of force required to accelerate a mass of one kilogram at a rate of one meter per second squared (1 N = 1 kg × 1 m/s^2). Force can be measured using a variety of instruments, such as spring scales, strain gauges, or force plates. Some common types of forces include gravitational force, electromagnetic force, frictional force, and normal force. The study of forces and their effects on the motion of objects is known as mechanics and is a fundamental concept in physics.

Here,

a. The man does not do any work on the wall because the wall does not move. Work is only done when there is a displacement in the direction of the force applied.

b. Since no work is done, no energy is used or transferred.

c. The power exerted by the man can be calculated using the formula:

Power = Work / Time

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Answer:

C) 3/2 I

Explanation:

Initial condition

I = m(2d)² + 2m(d²)

I = 4md² + 2md² = 6md²

swap masses

I' = 2m(2d)² + m(d²)

I' = 8md² + md² = 9md²

I'/I = 9md²/6md² = 3/2

I' = 3/2I