Determine the work done to raise a mass of 8.0 kg through a height of 2.5 m on this planet.
​

Answer:

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Inelastic collision and a host of other factors causes the loss of energy.

Kinetic energy of an object is the energy that it possesses due to motion.

It can be defined as the work needed to accelerate a body of a given mass from rest to its stated velocity. When it has gained this energy during its acceleration, the body maintains this kinetic energy unless its speed changes.

In an inelastic collision which is the case of ball X and Y, the kinetic energy of the system is not conserved. The energy that you find lost has been dissipated as other forms of energy. This can be heat, friction, vibrational energy transferred to atoms of the colliding particles, energy lost to deform the atomic structure etc.

In conclusion, the inelastic collision nature of the two balls results in the loss of energy through different forms.

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The force required to keep a 2 kg object moving to the right with a constant speed of 6.0 m/s is calculated to be 0 N.

It is given that the mass of the object m is 2 kg.

As the body is said to be moving with constant speed, its acceleration would be rate of change of velocity, which would be zero.

Acceleration a = 0

Now, let us calculate the force required to move the 2 kg object. From Newton's second law, we know the expression, F = m a.

where,

m is mass

a is acceleration

F = m a = 2 × 0 = 0 N

Thus, the required force to move the object in right direction is calculated to be 0 N.

The given options have inappropriate units. They should be in Newtons.

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I can try to help if you speak English

Answer:

b. Research projects for a specific cause

Explanation:

Research funded by private foundations are usually for a specific cause. These type of research are usually properly scrutinized, and must have a high probability of success. Most of these projects may not be to benefit the consumers, but are usually done with a special purpose in mind.

Given:

a.

b.

To find:

a. mg into km

b. cm into nm

Explanation:

a.

Hence,

b.

Hence,

Answer:B

Explanation:explanation

Answer:

1.  to relate the type of box material to the temperature of the air within the box

2. Question is incomplete

3. scatterplot

Explanation:

1. The only thing done differently in this experiment is the type of material used in making the boxes, hence the experiment must be about that. Before proceeding to answering this question, we must have this at the back of our minds.

We can gather from the experiment that the boxes are of the same size and were subjected to sunlight for an hour (the same time duration for both). Hence, the temperature of the air inside the box will only be affected by the type of material the box is made of since the boxes have the same size and were subjected to sunlight for the same duration.

From the options provided, the best description for this experiment is; to relate the type of box material to the temperature of the air within the box.

2. The question is incomplete. The value for speed/velocity needed to calculate the average time is missing.

However, the formula needed here is velocity = distance ÷ time

3. There are two variables in this experiment; distance and time

The type of graph that shows two variables on it (of the options provided) is the scatterplot.

Answer:

500ms times 2 would be when the ball reaches the max horizontal distance.

Then to find the angle, use the formula of time to reach max height t = u sin theta / g . With t being the max height time 500ms, u being 10m/s

For initial vertical velocity just use u sin theta.

The max horizontal height is "10 meters" and the initial vertical velocity is "4.9 m/s".

Given:

Horizontal velocity,

Time,

At max height,

(a)

→ Time to flight (T) will be:

= \(2t\)

= \(2\times 0.5\)

= \(1 \ second\)

→ Horizontal distance will be:

= \(V_x\times T\)

= \(10\times 1\)

= \(10 \ meters\)

(b)

→ The initial vertical velocity will be:

\(V_{yf} = V_y +gt\)

   \(0 = V_y - 9.8\times 0.5\)

  \(V_y = 4.9 \ m/s\)

Thus the above answers are correct.

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Explanation:

Kepler’s third law states that for all objects orbiting a given body, the cube of the semimajor axis (A) is proportional to the square of the orbital period (P).

For each of our planets orbiting the Sun, the relationship between the orbital period and semimajor axis can be represented by the equation as:

\(P^2=kA^3\)

k is constant of proportionality

It is required to solve the above equation for k

\(k=\dfrac{P^2}{A^3}\)

Answer:

k is constant of proportionality

It is required to solve the above equation for k

Explanation:

Answer:

\( \boxed{ \sf{see \: below}}\)

Explanation

The unit of force, Newton is a derived unit because it depends on three fundamental units. i.e kilogram , meter and second.

Hope I helped!

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The spring constant of the spring is approximately 195.8 N/m.

We can use the conservation of energy principle to determine the spring constant of the spring.

At equilibrium, the gravitational potential energy of the mass is given by:

PE = mgh

where m is the mass, g is the acceleration due to gravity, and h is the displacement from the equilibrium position.  

Since the mass is in equilibrium, the potential energy is equal to the elastic potential energy stored in the spring when it is stretched by an amount h. Therefore, we have:

PE = (1/2)kx^2

where k is the spring constant and x is the displacement from the equilibrium position.

Setting these two equations equal to each other, we get:

mgh = (1/2)kx^2

Rearranging the equation, we get:

k = (2mgh) / x^2

where m = 4.6 kg, g = 9.8 m/s^2, h = 0 (since it is in equilibrium), x = 0.12 m, and the top speed of the mass is v = 1.0 m/s.

Using these values, we get:

k = (2 x 4.6 kg x 9.8 m/s^2 x 0.12 m) / (0.12 m)^2

k ≈ 195.8 N/m

Therefore, the spring constant of the spring is approximately 195.8 N/m.

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Answer:

23.63 m/s

Explanation:

We can assign the bottom of the hill to have zero potential energy.

Thus, the car has only potential energy at the top of the hill.

At the bottom of the hill, all of the potential energy is converted into kinetic energy.

Therefore, initial potential equals final kinetic:

\(\displaystyle U_i = KE_f\)

Substitute:
\(\displaystyle mgh_i = \frac{1}{2}mv_f^2\)

Solve for final velocity:

\(\displaystyle v_f = \sqrt{2gh_i}\)

Therefore, the velocity of the car at the bottom of the hill is:
\(\displaystyle \begin{aligned} v_f & = \sqrt{2(9.8\text{ m/s$^2$})(28.5\text{ m}) \\ \\ & = 23.63\text{ m/s} \end{aligned}\)

In conclusion, the velocity of the car at the bottom of the hill is about 23.63 m/s.

Answer:

it is correct

Explanation:

Though no rounded numbers can be defined as accurate, if we were going by people's discovery, and research, we can define that the number, g = 9.8m/s^2, is accurate

Your question is about determining whether Cygnus X-1 and LMC X-3 are black holes based on the masses of their unseen companions in solar masses.
The answer is: b. more than 3 solar masses.


A black hole is typically formed when a massive star collapses under its own gravity. The mass of a black hole is an important factor in determining its properties. For a stellar-mass black hole, the mass is usually greater than 3 solar masses.

In the case of Cygnus X-1 and LMC X-3, their unseen companions have masses greater than 3 solar masses, which makes them black holes. If their masses were less than this threshold, they would be classified as neutron stars or white dwarfs instead. So, the correct option is b. more than 3 solar masses.

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A train has an initial velocity of 44meter per second and an acceleration of 4meter per second.The final velocity after 10 seconds is 84m/s.

As we know,

Acceleration= Final velocity-Initial velocity /time.

where acceleartion = a=4m/s².

Initial velocity= u= 44m/s

let final velocity be v

Time =t = 10seconds.

Therefore, the equation is:

a=v-u/t

Substituting the values in the given equation, we get:

4=v-44/10

Now cross multiplying,

4×10 = v-44

40=v-44

40+44=v

v=84m/s

Therefore, the final velocity after 10 seconds is 84m/s.

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Answer:

Explanation:

To determine the height of the building, we can use the kinematic equation for vertical motion:

h = v₀t + (1/2)gt²

Where:

h is the height of the building

v₀ is the initial velocity of the ball (25 m/s)

t is the time taken for the ball to reach the ground (10 seconds)

g is the acceleration due to gravity (approximately 9.8 m/s²)

Plugging in the values:

h = (25 m/s)(10 s) + (1/2)(9.8 m/s²)(10 s)²

h = 250 m + (1/2)(9.8 m/s²)(100 s²)

h = 250 m + 490 m

h = 740 m

Therefore, the height of the building is approximately 740 meters.

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The magnitude of the output gear angular velocity is 50 rad/sec. The actual value of the angular velocity will depend on the specific values of the gear ratio and the input gear's angular velocity.

The magnitude of the output gear angular velocity is determined by the gear ratio between the input and output gears. The gear ratio is the ratio of the number of teeth on the output gear to the number of teeth on the input gear.
To find the magnitude of the output gear angular velocity in units of rad/sec, you can use the formula:
Output gear angular velocity = Input gear angular velocity * (Number of teeth on input gear / Number of teeth on output gear)
Let's say the input gear has 20 teeth and the output gear has 40 teeth. If the input gear is rotating at 100 rad/sec, we

can calculate the output gear angular velocity as follows:
Output gear angular velocity = 100 rad/sec * (20 / 40) = 50 rad/sec
In this case, the magnitude of the output gear angular velocity is 50 rad/sec.
Remember to check the units and the gear ratio to ensure the correctness of your calculation. Also, note that the actual value of the angular velocity will depend on the specific values of the gear ratio and the input gear's angular velocity.

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Pressure vs. Depth Lab:

Pressure is defined as the force per unit area applied on an object. It is a scalar quantity, which means it only has magnitude and no specific direction.

It is often measured in units of Pascals (Pa), which is equivalent to one Newton of force per square meter of area. Pressure can be caused by the weight of an object, the force applied by a fluid, or the collision of particles with a surface.

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Answer:

Natural

Explanation:

Answer:

It's a Natural System

Explanation:

When the Solar System was formed Human didn't even exist. the planets clashed and a lot of changes happened to create earth and different planets.

The statement is false, and the reasoning is as follows: The principle of conservation of energy states that energy can neither be created nor destroyed but can only be transformed from one form to another.

Principle of conservation of energy states: energy cannot be created or destroyed but can be transformed from one form to another.

In this case, we can assume that the stone is dropped from a height and falls to ground due to the force of gravity. Initially, stone has only gravitational potential energy, which is given as 100 J. As stone falls, it gains kinetic energy, which is the energy of motion. At the point where the stone reaches ground, all of its potential energy has been converted to kinetic energy.

Total energy of the stone at any point during its fall is the sum of its potential and kinetic energy. Therefore, we can write:

So total energy = Gravitational potential energy + Kinetic energy

Total energy at initial position = Total energy at ground level

Or, 100 J = 75 J

This is not possible as we know that energy cannot be created or destroyed and can only be transformed from one form to another.

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Answer:

1. Why does a magnet exert force on another magnet when the two magnets are not in contact? The magnetic field from north to south increases when they're closer together, and when they repel the repelling force increases as well. This is all due to the magnetic field.

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The femur can withstand a compression of about 4.1945 mm before breaking.

We can use the formula for compressive stress to calculate the amount of compression that the femur bone can withstand before breaking:

Stress = Force / Area

where the force is the force applied to the bone and the area is the cross-sectional area of the bone.

To find the cross-sectional area of the femur bone, we can assume that it has a circular cross-section and use the formula:

Area = πr^2

where r is the radius of the cross-section.

Since the length of the femur bone is 0.5 m, we can assume that the cross-sectional area remains constant along its length.

Let's assume that the force required to break the bone is the maximum compressive stress that it can withstand, which is 1.51 × 10^8 Pa. We can rearrange the stress formula to solve for the force.

We can use the equation for strain under compression:

strain = stress / Young's modulus

where stress is the maximum stress the bone can withstand before breaking, and Young's modulus is a measure of the stiffness of the material. The strain is a measure of how much the bone compresses under stress.

To find the compression distance, we can rearrange this equation to solve for the compression distance:

compression distance = strain x original length

where the original length is the length of the bone before compression

Substituting the given values:

stress = 1.51 × 10^8 Pa

Young's modulus = 1.8 × 10^10 Pa

original length = 0.5 m

First, we can calculate the strain:

strain = stress / Young's modulus = (1.51 × 10^8 Pa) / (1.8 × 10^10 Pa) ≈ 0.008389

Next, we can calculate the compression distance:

compression distance = strain x original length = (0.008389) x (0.5 m) = 0.0041945 m

Finally, we can convert the result to millimeters:

compression distance = 0.0041945 m x (1000 mm/m) = 4.1945 mm

Therefore, the femur can withstand a compression of about 4.1945 mm before breaking using Stress = Force / Area

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False

Virtual image cannot be caught on a screen

Answer: v=1,56(m/s)

Explanation: Called: g(Gravity acceleration) =10\(m/s^{2} \\\)(or 9,8\(m/s^{2}\))

                                 h=1,2m  ;   t=1,3s

Because the coin fell freely, the velocity is calculated by the formula:

v=\(\sqrt{2gh}\)  (1)

besides, you have time to touch the bottom of the water is 1,3s:

t=\(\sqrt\frac{2g}{h} }\) (2)

(1) and (2) => v=1,56 (m/s)

According to Newton's first law of motion, the ball also moves with train .

According to Newton's first law of motion "An object at rest remains at rest, or if in motion, remains in motion at a constant velocity unless acted on by a net external force".

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Among the four students sitting at a train crossing and listening to the train's horn, one of them can best explain the changing sounds in terms of the Doppler Effect.

The Doppler Effect refers to the change in frequency and pitch of a sound wave as the source of the sound moves relative to an observer. In this scenario, as the train approaches the crossing, the sound waves emitted by its horn are compressed, resulting in a higher frequency and pitch. This increase in frequency causes the sound to appear louder to the observer.

As the train continues past the crossing and moves away, the sound waves stretch, leading to a lower frequency and pitch. Consequently, the sound appears softer to the listener. Among the four students, the one who understands this phenomenon and can explain the changing sounds in terms of the Doppler Effect is best equipped to interpret the observed auditory changes accurately.

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