How did the horizontal velocity vector component change during the flight of the cannonball in the simulation

The mass of the lighter star is 2.15 x 10³⁰ kg.

The mass of the lighter star is obtained by applying the formula force gravitational potential energy between the two stars.

According to Newton's law of universal gravitation, every two objects in the universe attracts each other with a force that is directly proportional to the product of their masses and inversely proportional to the square of the distance between the two objects.

U = F x r

U = Gm₁m₂/r²   x   r

U = Gm₁m₂/r

where;

r = 3 x 10⁸ m/s  x 3.154 x 10⁷ s/yr

r = 9.46 x 10¹⁵ m

let the lighter star = m₁

then, the heavier star = 2m₁

U = (G x m₁ x 2m₁)/r

U = 2Gm₁²/r

Ur = 2Gm₁²

m₁² = Ur/2G

m₁ = √(Ur/2G)

m₁ = √(6.5 x 10³⁴ x 9.46 x 10¹⁵ / 2 x 6.626 x 10⁻¹¹)

m₁ =  2.15 x 10³⁰ kg

Learn more about gravitational potential energy here: https://brainly.com/question/15896499

#SPJ1

Answer:

Temperature of the air in the balloon = 272°C

Explanation:

Given:

Volume of balloon = 500 m³

Air temperature = 15° C = 273 + 15 = 288 K

Total weight = 290 kg

Density of air = 1.23 kg/m³

Find:

Temperature of the air in the balloon

Computation:

Density of hot air = Density of air - [Total weight / Volume of balloon]

Density of hot air = 1.23 - [290 - 500]

Density of hot air = 0.65 kg/m³

[Density of hot air][Temperature of the air in the balloon] = [Density of air][Air temperature ]

Temperature of the air in the balloon = [(1.23)(288)]/(0.65)

Temperature of the air in the balloon = 544.98

Temperature of the air in the balloon = 545 K

Temperature of the air in the balloon = 545 - 273 = 272°C

Temperature of the air in the balloon to lift a total load of 290 kg is 272°C.

Temperature is the degree of hotness or coldness of the object.

Given is Volume of balloon = 500 m³, Air temperature = 15° C = 273 + 15 = 288 K

Total weight = 290 kg and Density of air = 1.23 kg/m³

Density of hot air = Density of air - [Total weight / Volume of balloon]

Density of hot air = 1.23 - [290 - 500]

Density of hot air = 0.65 kg/m³

Density is inversely proportional to the temperature.

[ρ hot air] x [T air in the balloon] = [ρ air] x [T air ]

Putting the values, we get temperature of the air in the balloon is

T air = [(1.23)(288)]/(0.65)

T air in Kelvin is 545 K

T air in Celcius is  545 - 273 = 272°C.

Thus, the temperature of the air in balloon is 272°C.

Learn more about temperature.

https://brainly.com/question/11464844

#SPJ5

Answer:it would probably be C

Explanation:

Answer:

The angle at which a turn should be banked depends on the speed of the vehicle, the radius of the turn, and the acceleration due to gravity. To calculate the angle, we can use the following formula:

tanθ = v^2 / (g * r)

where

θ is the angle at which the turn should be banked (in radians)

v is the speed of the vehicle (in m/s)

g is the acceleration due to gravity (approximately 9.81 m/s^2)

r is the radius of the turn (in meters)

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

tanθ = (25 m/s)^2 / (9.81 m/s^2 * 100 m)

tanθ = 6.44

Taking the inverse tangent of both sides, we get:

θ = tan^-1(6.44)

θ ≈ 80.5 degrees

Therefore, the turn should be banked at an angle of approximately 80.5 degrees.

The gravitational potential energy (PE) of an object can be calculated using the formula:

PE = mgh

Where:

PE is the gravitational potential energy

m is the mass of the object

g is the acceleration due to gravity

h is the height or distance above the reference point (usually the ground)

In this case, you provided the weight of the object, which is 24 N. The weight of an object is the force due to gravity acting on it, and it can be calculated using the formula:

Weight = mg

Where:

Weight is the force due to gravity

m is the mass of the object

g is the acceleration due to gravity

Since you haven't provided the mass of the object, we can find it by rearranging the weight formula:

m = Weight / g

Now, we can calculate the mass of the object:

m = 24 N / 9.8 m/s² ≈ 2.45 kg

Now we have the mass (m = 2.45 kg), the height (h = 3.2 m), and the acceleration due to gravity (g ≈ 9.8 m/s²). Plugging these values into the formula for gravitational potential energy:

PE = mgh

= 2.45 kg × 9.8 m/s² × 3.2 m

≈ 76.736 J

Therefore, the gravitational potential energy of the object at a height of 3.2 m from the ground is approximately 76.736 joules (J).

\(\huge{\mathfrak{\colorbox{black}{\textcolor{lime}{I\:hope\:this\:helps\:!\:\:}}}}\)

♥️ \(\large{\textcolor{red}{\underline{\mathcal{SUMIT\:\:ROY\:\:(:\:\:}}}}\)

The magnitude of the electric flux through the sheet is 4.05 N m² C⁻¹ (Option E).

The electric flux through a surface is given by the product of the electric field strength and the area of the surface projected perpendicular to the electric field.

In this case, the electric field strength is 18 N C⁻¹, and the area of the sheet projected perpendicular to the electric field is 0.450 m²

(since the normal to the sheet makes an angle of 60° with the electric field). Multiplying these values gives the electric flux:

Electric flux = Electric field strength × Area

Electric flux = 18 N C⁻¹ × 0.450 m²

Electric flux = 8.1 N m² C⁻¹

In summary, the magnitude of the electric flux through the sheet is 4.05 N m² C⁻¹. This value is obtained by multiplying the given electric field strength by the projected area of the sheet perpendicular to the electric field.

The angle of 60° is taken into account to determine the effective area for calculating the flux.(Option E).

for such more questions on electric

https://brainly.com/question/1100341

#SPJ8

The function x giving the cost of constructing the box, cost = 50x² + 40xy

A basic formula for volumes is length, breadth, and height, as opposed to length, width, and height for the area of the a rectangular shape. The calculation is unaffected by how you reference to the various dimensions; for instance, you can use "depth" instead of "height."

Let,

length = x ft

width = x ft

height = y ft

volume= x² × y = 20 ft³

y = 20/x²

cost = 30(x²) + 10(4)(xy) + x²( 20)

cost = x² ( 50 ) + 40(x)( 20x²)

cost = 50x² + 40xy

To know more about volume visit:

brainly.com/question/2454734

#SPJ4

a. The ball's velocity after 0.24 s is 0.75 m/s

b. The acceleration of the ball is given by the acceleration due to gravity

a. The ball's velocity can be calculated with the following equation:

\( v_{f} = v_{0} - gt \)

Where:

\( v_{f} \): is the final speed =?

\(v_{0}\): is the initial speed = 3.1 m/s

g: is the acceleration due to gravity = 9.81 m/s²

t: is the time = 0.24 s

The minus sign is because the acceleration is in the opposite direction (downward) of the motion of the ball (upward).

The final speed is:

\( v_{f} = v_{0} - gt = 3.1 m/s - 9.81 m/s^{2}*0.24 s = 0.75 m/s \)

Hence, the ball's velocity after 0.24 s is 0.75 m/s.

b. The acceleration of the ball is given by the acceleration due to gravity because the ball is thrown straight up (the motion of the ball is in the y-direction). The velocity of the ball in the x-direction is zero so the acceleration in the same direction is also zero.  

You can see another example of velocity here: https://brainly.com/question/13388351?referrer=searchResults

I hope it helps you!

The neutron number of an atom X, which undergoes alpha, and beta decay reduces the neutron number by 6.  

Alpha decay is the nuclear process in which the parent nucleus emits an alpha or helium particle to form a daughter nucleus. When a particle emits an alpha nucleus, the nucleus loses its two protons and two neutrons. Beta decay is the nuclear process in which the parent nucleus undergoes the emission of electrons to produce a daughter nucleus.

Alpha decay decreases the atomic mass number decreases by 4 and the atomic number decreases by 2. In beta decay, the neutron is converted into a proton and the atomic number decreases by one. The neutron number is affected by alpha decay.

From the given,

X atom undergoes alpha decay. X -----> ₐ₋₂Xᵇ⁻⁴ + He₂⁴. The neutron number decreases by two.  ₐ₋₂Xᵇ⁻⁴ ----->    ₐ₋₂₋₂Xᵇ⁻⁴⁻⁴ + He₂⁴. The neutron number decreases by two.

When the X atom undergoes beta decay, ₐ₋₄Xᵇ⁻⁸---> ₐ₋₅Xᵇ⁻⁸ + ₋₁e⁰. The neutron number does not get affected. When the atom again undergoes alpha decay,  ₐ₋₅Xᵇ⁻⁸ ----->  ₐ₋₇Xᵇ⁻¹². Thus, the neutron number decreases by 6 when the atom undergoes three alpha decay.

To learn more about nuclear decay:

https://brainly.com/question/21114779

#SPJ1

the kinetic energy of an object that has a mass of 30 kilograms and moves with a velocity of 20 m/s is  6,000 J. Option C is correct answer.

The kinetic energy of an object that has a mass of 30 kilograms and moves with a velocity of 20 m/s can be calculated by using the formula:

K.E = 1/2 mv²

Where, K.E = Kinetic energy of the objectm = Mass of the objectv = Velocity of the object

Putting the given values in the above formula:

K.E = 1/2 mv²K.E = 1/2 × 30 kg × (20 m/s)²K.E = 1/2 × 30 × 400K.E = 6000 joules

The correct answer is C.

For more question  velocity

https://brainly.com/question/28952526

#SPJ8

Answer:

mass/volume is the density of an object

Given that,

Initial speed, u = 20 km/s

Acceleration of plane, a = 2.4 km/h²

Time, t = 59 s

We need to find the expression to find the final velocity of an object.Let the final velocity is v.

Using the second equation of kinematics:

\(\Delta s=ut+\dfrac{1}{2}at^2\)

a is acceleration, \(a=\dfrac{v-u}{t}\)

So,

\(\Delta s=ut+\dfrac{1}{2}\times \dfrac{v-u}{t}\times t^2\\\\\Delta s=ut+\dfrac{1}{2}(v-u)t\\\\\Delta s=\dfrac{2ut+vt-ut}{2}\\\\\Delta s=\dfrac{vt+ut}{2}\\\\\Delta s=(\dfrac{v-u}{2})t\)

We can use the above formula to find the final velocity (v) of the plane.

1a) Energy is absorbed, and the reaction is endothermic.

1b) The products have higher potential energy, the enthalpy change is positive, indicating an endothermic reaction.

1c) The peak of the potential energy diagram.

2a) The activation energy labeled as the difference between the reactants and the peak

2b) The activation energy can be determined by calculating the difference between the reactants.

2c) The enthalpy change can be calculated by finding the difference between the energy of the reactants and the energy of the products.

2d) The reaction is exothermic. In terms of the graph's shape.

3a) A decrease in potential energy as the products form.

3b)This indicates that a small amount of energy from the spark is needed to overcome the activation energy barrier

Part 1:

1a. To determine if the reaction is endothermic or exothermic, we need to analyze the potential energy diagram. If the products have lower potential energy than the reactants, it indicates that energy is released, and the reaction is exothermic. Conversely, if the products have higher potential energy than the reactants, it suggests that energy is absorbed, and the reaction is endothermic.

1b. The enthalpy change (ΔH) for the reaction can be calculated by comparing the potential energy of the products and the reactants. If the products have lower potential energy, the enthalpy change is negative, indicating an exothermic reaction. If the products have higher potential energy, the enthalpy change is positive, indicating an endothermic reaction.

1c. The activation energy (Ea) can be determined by examining the energy difference between the reactants' potential energy and the peak of the potential energy diagram.

Part 2:

2a. Since the energy of the reactants is 30 kJ, the energy of the products is 5 kJ, and the maximum energy of the system is 40 kJ, we can sketch a potential energy diagram with the reactants at 30 kJ, the products at 5 kJ, the activation energy labeled as the difference between the reactants and the peak, and the enthalpy change as the difference between the reactants and products.

2b. The activation energy can be determined by calculating the difference between the reactants' energy and the peak of the potential energy diagram.

2c. The enthalpy change can be calculated by finding the difference between the energy of the reactants and the energy of the products.

2d. Based on the energy values, if the energy of the products is lower than the energy of the reactants, the reaction is exothermic. In terms of the graph's shape, if the potential energy decreases from reactants to products, it indicates an exothermic reaction.

Part 3:

3a. The potential energy diagram for the striking and burning of a match can be sketched to show the initial potential energy of the reactants, a peak representing the activation energy, and a decrease in potential energy as the products form.

3b. The potential energy diagram would show an initial higher potential energy for the reactants, a peak representing the activation energy required for the reaction to occur, and a decrease in potential energy as the products form. This indicates that a small amount of energy from the spark is needed to overcome the activation energy barrier, leading to the release of a greater amount of energy during the burning process.

For more question on Energy

https://brainly.com/question/13881533

#SPJ11

First we'll have to convert centimeter into meter.

\(\large\boxed{\bold{1 \: cm= 100 \: m}}\)

So we'll have to divide 2.3 cm by 100.

\(\frac{2.3}{100}\)

\(\bold{= 0.023 \: m}\)

Now, we can find the speed of the wave.\(\large \boxed{\bold{v= {f}{λ}}}\)

In this question all the values are given so we'll simply have to substitute and solve.

Let's solve!

To find the speed, we'll have to multiply the wavelength and frequency.

Substitute the values according to the formula.

\(v= 0.023\times 3.7\)

\(\large\boxed{\bold{v= 0.0851 \: m/s}}\)

Therefore, the speed of the given wave is 0.0851 m/s

Answer:

E. none of these

Explanation:

If two loops are lying next to each other, with one of the loop carrying a time varying current, the other loop is induced with an induced current, causing an induced voltage to flow through the other loop. The phenomenon is known as electromagnetic induction. Options listed from A to D are all wrong, so we pick option E

Answer:

they are quantities with magnitude without direction e.g weight,

Answer:

A medium vibrates at right angles to the direction of travel (D transverse) such as an electrical wave in space

A medium vibrates parallel to the direction for a longitudinal wave such as a sound wave in air

It is possible to study the connection between motivation, rewards, and production from a variety of angles, including those of economics, psychology, and physics.

Because producers are motivated to satisfy consumer demand, free markets offer a larger variety of commodities than any other system. What is created is under the control of the consumer.

In theory, free markets work best because supply and demand are efficiently distributed by an invisible hand. Yet, in practise, open markets are prone to manipulation, false information, and imbalances of power and knowledge, which also contribute to wealth disparity.

To know more about physics visit:-

https://brainly.com/question/28600368

#SPJ1

When the activation energies of the forward and backward processes are equal, the energy of the reactant and product becomes equal.

Therefore, E=EAEB=0. The reaction has reached equilibrium when the forward and reverse reaction rates are equal to one another. When the rate of the forward reaction equals the rate of the reverse reaction, a system is said to be in chemical equilibrium. The activation energy () of the reverse reaction is the SUM of the activation energy of the forward reaction AND the energy released from the forward reaction, according to the information provided.

Learn more about chemicals at:

https://brainly.com/question/1222323

#SPJ4

ANSWER:

21Ω

STEP-BY-STEP EXPLANATION:

Given:

R1 = R2 = R3 = 7Ω

The resistance in a series circuit has the following equation

We replacing in this case:

The equivalent resistance of the circuit is 21Ω

The heaviest liquid is mercury. In order to equalize the air pressure, it only climbs 76 cm. Water will rise to a 13.6 because it is 13.6 times lighter than mercury. By a factor of 13.6, mercury is 13.6 times denser than water.

Therefore, the barometer's height would be 13.6 times higher if water were employed in place of mercury. Since water expands when it freezes, the glass tube would be broken.

Because of its high density, mercury is frequently employed in barometers, allowing for a column height that is appropriate for measuring atmospheric pressure. For example, a mercury barometer would need to be 13.6 times taller than a water barometer to measure the same change in pressure.

This is the primary justification for using mercury in thermometers. Mercury will provide accurate readings in comparison to water since it lacks the condensation property that water possesses. Mercury can be used to measure both negative and positive temperatures, whereas water cannot be used to measure either.

To know more about  mercury

https://brainly.com/question/28549362

#SPJ4

Answer:

Graph C

Explanation:

This is the answer because it is the only one that shows the vehicle accelerate to a constant speed before stopping and slowing down.

The tangential speed of the moon as it leaves the orbit of the earth to the nearest whole number is 9 * 10^7 m/s.

We know that the tangential velocity has to do with the velocity of the moon when it leaves the circular orbit of the earth. For this we have to call to mind some of the basics of the circular motion. We have to use the formula that says;

V = 2πr/T

We now have to define each and every one of the terms that we have in the equation so that we can be able to apply them to be able to solve the problem meaningfully and we have;

V = velocity

r = Distance covered

T = Period

Where we have from the question;

V = ?

r = 3.84 x 10^8 m

T =  27 days

V = 2 * 3.142 * 3.84 x 10^8/27

V = 8.9 * 10^7 m/s

Learn more about tangential speed:https://brainly.com/question/17446849

#SPJ1

Answer:

a) The average force that acts on the man is \(2.508\times 10^{8}\) newtons.

b) The average force that acts on the man is 1023.673 newtons.

c) The force of the ground on the man is 1612.093 newtons upwards.

Explanation:

a) After a careful reading of the statement we construct the following model by applying Impact Theorem, that is:

\(m\cdot \vec v_{A} + \vec F \cdot \Delta t = m\cdot \vec v_{B}\) (Eq. 1)

Where:

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

\(\vec v_{A}\) - Initial velocity of the man, measured in meters per second.

\(\vec v_{B}\) - Final velocity of the man, measured in meters per second.

\(\Delta t\) - Impact time, measured in seconds.

\(\vec F\) - Average net force, measured in newtons.

Now we proceed to clear average net force within expression:

\(\vec F \cdot \Delta t = m\cdot (\vec v_{B}-\vec v_{A})\)

\(\vec F = \frac{m}{\Delta t}\cdot (\vec v_{B}-\vec v_{A})\) (Eq. 2)

If we know that \(m = 60\,kg\), \(\vec v_{A} = -4.18\,\hat{j}\,\,\,\left[\frac{m}{s} \right]\), \(\vec v_{B} = 0\,\hat{j}\,\,\,\left[\frac{m}{s} \right]\) and \(\Delta t = 1\times 10^{-6}\,s\), we obtain the following vector:

\(\vec F = \frac{60\,kg}{1\times 10^{-6}\,s} \cdot (4.18\,\hat{j})\,\,\,\left[\frac{m}{s} \right]\)

\(\vec F = 2.508\times 10^{8}\,\hat{j}\,\,\,[N]\)

The average force that acts on the man is \(2.508\times 10^{8}\) newtons.

(b) If we know that  \(m = 60\,kg\), \(\vec v_{A} = -4.18\,\hat{j}\,\,\,\left[\frac{m}{s} \right]\), \(\vec v_{B} = 0\,\hat{j}\,\,\,\left[\frac{m}{s} \right]\) and \(\Delta t = 0.245\,s\), we obtain the following vector:

\(\vec F = \frac{60\,kg}{0.245\,s} \cdot (4.18\,\hat{j})\,\,\,\left[\frac{m}{s} \right]\)

\(\vec F = 1023.673\,\hat{j}\,\,\,\left[N\right]\)

The average force that acts on the man is 1023.673 newtons.

(c) From Second Newton's Law we find the following equation of equilibrium:

\(\vec F = \vec N -\vec W\) (Eq. 3)

Where:

\(\vec F\) - Average force that acts on the man, measured in newtons.

\(\vec N\) - Force of the ground on the man, measured in newtons.

\(\vec W\) - Weight of the man, measured in newtons.

By applying the concept of weight, we expand the previous equation:

\(\vec F = \vec N -m\cdot \vec g\) (Eq. 3b)

Where \(\vec g\) is the gravitational acceleration, measured in meters per square second.

And then we clear the force of the ground on the man:

\(\vec N = \vec F +m\cdot \vec g\) (Eq. 4)

If we get that \(\vec F = 1023.673\,\hat{j}\,\,\,\left[N\right]\),  \(m = 60\,kg\) and \(\vec g = 9.807\,\hat{j}\,\,\,\left[\frac{m}{s^{2}} \right]\), the average force is:

\(\vec N = 1023.673\,\hat{j}\,\,\,[N]+(60\,kg)\cdot (9.807\,\hat{j})\,\,\,\left[\frac{m}{s^{2}} \right]\)

\(\vec N = 1612.093\,\hat{j}\,\,\,\left[N\right]\)

The force of the ground on the man is 1612.093 newtons upwards.

The distance covered by a ball in the first second of free fall is approximately 4.9 meters.

When an object falls freely under the influence of gravity, it experiences constant acceleration. In the case of Earth's gravity, the acceleration due to gravity is approximately 9.8 m/s². This means that the velocity of the falling object increases by 9.8 meters per second every second.

To determine the distance covered by the ball in the first second, we can use the equations of motion for uniformly accelerated motion.

The equation that relates distance (d), initial velocity (u), acceleration (a), and time (t) is:

d = ut + (1/2)at²

In this case, the initial velocity is zero (as the ball starts from rest), the acceleration is 9.8 m/s², and we want to find the distance covered in the first second (t = 1 second).

Plugging in the values:

d = 0 * 1 + (1/2) * 9.8 * (1)^2

d = 0 + (1/2) * 9.8

d = 0 + 4.9

d = 4.9 meters

Therefore, the ball covers a distance of approximately 4.9 meters in the first second of free fall.

For more such questions on distance, click on:

https://brainly.com/question/30395212

#SPJ8

Answer:

Explanation:

F = GmM/d²

As gravity force is proportional to the inverse of the square of the distance,

doubling the distance will reduce the weight to a forth.

F' = GmM/(2d)²

F' = ¼GmM/d²

F' = ¼F = ¼(4000)

F' = 1000 N

ANSWER:

The maximun velocity is 16.07 m/s

At x = 0.26

The velocity is 8.36 m/s

The accelearion is 286.67 m/s^2

The resorting force is 86 N

STEP-BY-STEP EXPLANATION:

Given:

k = 310 N / m

Max distance = 0.5 m

Mass of block = 0.3 kg

Max velocity:

Using conservation of energy:

At x = 0.26 m:

Acceleration:

The resorting force:

Answer:

F = 3062.5  N

Explanation:

Given that,

The mass of a sled, m = 35 kg

The speed increase from 30 m/s to 65 m/s in 0.4 seconds.

We need to find the force needed to accelerate the car.

Net force is given by :

F = ma

where

a is acceleration of the car.

\(F=\dfrac{m(v-u)}{t}\\\\F=\dfrac{35\times (65-30)}{0.4}\\\\F=3062.5\ N\)

So, the net force is 3062.5  N.

Each of the five friends needs to pay £12 to cover the cost of their own meals and contribute towards the birthday person's meal. Using mean allows us to distribute the cost equally among the friends, ensuring a fair division of expenses for the meal.

To determine how much each of the five friends needs to pay, we can use the concept of averages (mean) and divide the total cost by the number of people paying.

In this scenario, the total cost of the meal for 6 people is £12 per person. Since the other 5 friends have decided to pay for the birthday person's meal, they will collectively cover the cost of their own meals plus the birthday person's meal.

To calculate the total cost covered by the five friends, we can subtract the cost of one person's meal (since the birthday person's meal is being paid by the group) from the total cost. The cost of one person's meal is £12.

Total cost covered by the five friends = Total cost - Cost of one person's meal

= (£12 x 6) - £12

= £72 - £12

= £60

Now, to find out how much each of the five friends needs to pay, we divide the total cost covered by the five friends (£60) by the number of friends (5).

Amount each friend needs to pay = Total cost covered by the five friends / Number of friends

= £60 / 5

= £12

For more such information on: mean

https://brainly.com/question/1136789

#SPJ8