Position Collisions
Scenario 1: Fatima and Alberta are playing catch. Fatima is standing at
the door, while Alberta is standing 8m away to the right. Fatima throws a
paper ball to the right with a speed of 2.4m/s. Alberta realizes that she is
to far away and runs to the left at 0.6m/s. When and where will Alberta meet
the paper ball?

If you are going the same speed, the greater the vehicle, the greater the force of impact on the reacting body and greater the inertia of it and greater is its velocity.

Velocity of any body is the speed by which it is travelling along with the direction it has given. velocity is a vector quantity because it has both magnitude and direction. velocity has both magnitude and direction so it different from speed but its magnitude is same as that of speed and we can calculate both as their magnitude are equal. velocity is the measure of the speed of the moving body by which it is moving in the place from one place to another. velocity and speed are the same but they are different in the essence in the form of their type. speed is scalar and velocity is vector. by this primary information we can consider that primarily that if you are going the same speed, the greater the vehicle, the greater the force of impact on the reacting body and greater the inertia of it and greater is its velocity.

Learn more about Velocity:

brainly.com/question/18084516

#SPJ4

The friction force required to keep the car from sliding is 9000N.

mass of car, m = 1000 kg

speed , v = 30 m/s

diameter , d = 0.2 km

r = 100 m

for the car to keep from sliding frictional force is required, ff = m*v^2/r

ff = 1000 * 30^2 /100

ff = 9000 N

the friction force required is 9000 N

Simply put, an unbanked curve (or turn) is a curve that is flat on the ground (parallel to the horizontal). A force of friction applies to the car as it drives along one of these curves, keeping it rotating in a circular course.

to know more about friction force here:

brainly.com/question/30280752

#SPJ4

The angle and the direction of the cannonball is calculated to be about 18.435° of west.

Expressed as the ratio between two sides of a right triangle or an angle measure along with a given side, trigonometry can find unknown angle measures and lengths.

Given that,

Velocity of cannonball upward = 10 m/s

Velocity of cannonball to the west = 30 m/s

One of the side lengths reflects the velocity going north (or upward from the horizontal) at 10 m/s. Another side length depicts the speed moving west.

Angle can be calculated by applying trigonometric relation.

tan θ = northward velocity of the cannonball/westward velocity of the cannonball = 10/30

tan⁻¹(tan θ) = tan⁻¹(10/30)

θ = 18.4349°

As, the cannonball was measured from the horizontal, the angle and the direction of the cannonball is about 18.435° of west.

To know more about cannonball:

https://brainly.com/question/28767194

#SPJ4

Answer:

252 km/hr

70 m/s

Explanation:

s = d/t

answer in km/hr:

s = 1638 km / 6.5 hr = 252 km/hr

if you need the answer in m/s:

s = ((1638 km)(1000 m/km)) / ( (6.5 hr)(60 min/hr)(60 s/min))

  = 70 m/s

Answer:

1.84 m

Explanation:

ME = KE + PE = 1/2mv² + mgh

600 J = 1/2(30 kg)(2 m/s)² + (30 kg)(9.8 m/s²)h

Solve for h:

600 J = 60 J + (294 kg·m/s²)h

h = 540J/294kg·m/s² = 1.84 m

Torque increases with distance because torque is defined as the force acting on an object multiplied by the distance from the axis of rotation. The farther the force is applied from the axis of rotation, the greater the torque will be.

To understand this, imagine a lever with a weight on the end of it. If the weight is placed closer to the pivot point of the lever, it will take less force to lift the weight than if the weight is placed farther away from the pivot point. This is because the farther the weight is from the pivot point, the greater the torque will be. The same is true for any object that is being rotated around an axis - the farther the force is applied from the axis of rotation, the greater the torque will be.

To know more about Torque click below:

brainly.com/question/6855614#

#SPJ4

The coefficient of kinetic friction between the surfaces is 0.48.

Friction is simply defined as the force that prevents a sliding object from moving. Kinetic friction is a natural phenomenon that disrupts the motion of two or more objects. The force acts in the opposite direction of the motion of the object.

When we stop a car, we use brakes, which is where friction comes into play. When walking, friction is to thank once more. But when we have to stop in the middle of a puddle, things become more difficult because friction is less and cannot help as much.

Solve for a using K3:    [tex]$v^2=v_0^2+2 a d$\\[/tex]

[tex]& 19^2=0_0^2+2 a 38 \\& a_x=-4.75 \mathrm{~m} / \mathrm{s}^2[/tex]

[tex]\begin{aligned}& \text F_{\text {net }}=-f_k=m a_x, \text { and } \\& -f_k=\mu_k F_n=\mu_k m g, \text { so we can say } \\& -m a_x=\mu_k \cdot m g \\& \mu_k=\frac{m a_x}{m g}=\frac{-a_x}{g} \\& \mu_k=\frac{-(-4.75)^m / s^2}{9.8}=0.48\end{aligned}$$[/tex]

Thus, The coefficient of kinetic friction between the surfaces is 0.48.

Learn more about kinetic friction

https://brainly.com/question/19180015

#SPJ4

If a running system has a total change in the heat of 315 joules, and it is running at a temperature of 350 k, the entropy will be e. 0.762 joules/kelvin.

Entropy is essential for understanding the behavior of many physical systems, such as in thermodynamics, statistical mechanics, and thermochemistry.

Entropy can be used to analyze the efficiency of a system, as well as its stability and predictability.

This can be calculated by using the formula  S = ΔQ/T, where S is entropy, ΔQ is the total change in heat and T is temperature. In this case ΔQ = 315 Joules and T = 350K.

Plugging these values into the equation gives us S = 315/350, which equals 0.762 joules/kelvin. Hence, option e is correct.

To learn more about heat, click here:

https://brainly.com/question/13439286

#SPJ4

According to the given statement The pressure exerted by the tooth is 506,315.78 Pa.

Pressure is a measure of the force exerted on a surface per unit area. It is a scalar quantity and is measured in units of force per unit area, such as pascals (Pa), pounds per square inch (psi), or atmospheres (atm).

It can be calculated using the formula:

Pressure (Pa) = Force (N) / Area (m²)

Given that the force exerted is 480 N and the area of contact with the tooth is 0.95 mm^2, we can use the formula to find the pressure exerted:

Pressure (Pa) = 480 N / (0.95 x 10⁻³ m²)

To convert mm² to m², we divide by 10⁶

Pressure (Pa) = 480 N / (0.95 x 10⁻³ m²) = 506,315.78 Pa

Hence, the pressure exerted by the tooth is approximately 506,315.78 Pa.

To learn more about pressure from the given link:

brainly.com/question/28012687

#SPJ4

The mass of the car that was at rest is 4800kg.

What is mass?

Measurement of inertia, a fundamental characteristic of all matter. The resistance a body of matter offers to a change in its speed or location as a result of the application of a force is what it is in essence.

What is momentum?

As a measure of an object's kinetic energy, momentum is easily defined. Simply put, momentum is the result of mass times velocity. full response Simply said, momentum is concerned with the quantity of motion. The conserved quantity is another definition for it.

m= 3600kg

Vi= 21.0m/s

Vf = 9.0m/s

conservation of momentum

mVi= (m+M) Vf

mass of rest car M = (Vi-Vf )m/Vf

M = (21.0 m/s - 9.0m/s)* 3600 kg/ 9.0m/s

M= 4800kg

Therefore, the mass of the car that was at rest is 4800kg.

Learn more about mass from the given link.

https://brainly.com/question/29774205

#SPJ4

With an unbounded optimal solution, the feasible region essentially reaches infinity and even the optimal solution is not constrained by the constraints. Resolution.

This seems to be quite uncommon in real life. One or even more constraints may miss; verify the phrasing of the constraints.

The feasible zone effectively extends into infinity as well as the optimal solution is unbound, meaning the restrictions do not place any upper bounds on it. This is incredibly uncommon in real life. If there are any lacking constraints, kindly verify the formulation of both constraints.

Unbounded functions are those that are neither above nor below bounded by such a finite limit. For instance, because it ranges from to, x is an unbounded function. The unbounded function tax would be defined for any real x with the exception of x(2n+1)2.

To know more about unbounded

https://brainly.com/question/14659197

#SPJ4

There will be an increase in the net force.It appears that an object is moving faster, slower, or in a different direction.

There are several instances of forces in daily life, including:heft and powerthe force a bat applies to a ball.the pressure that a hair brush applies to hair when brushing it.the pressure your foot applies to the pedal when you're riding a bike.

An object can change its size or shape, begin moving, stop moving, accelerate, or decelerate as a result of a pressure applied on it.

To know more about forces visit:

https://brainly.com/question/13191643

#SPJ4

Option A is the correct Answer. The effect of a stress raiser is more significant for Ductile materials.

Ductility is the ability of a material to be drawn or plastically deformed without fracture. The ductility of steels varies depending on the types and levels of alloying elements present.

Examples: aluminum, copper, and magnesium alloys.

Uses of  Ductile materials:

To know more about Ductile materials:

https://brainly.com/question/828860

#SPJ4

The statement is not correct the mass of the jam is 500g and the density of the jam is 0.125gm/cm³

To learn more about density refer to:

https://brainly.com/question/30127073

#SPJ4

First, we need to calculate force of the rocket.

What is Velocity?

Velocity is a vector quantity that describes the rate and direction of a body's motion. It is represented by an arrow pointing in the direction of motion and having a length equal to the rate of motion. Velocity is a fundamental concept in classical mechanics and is defined as the rate of change of position with respect to time.

Calculate the force of the rocket:

F = ma = (15,000 kg)(230 m/s) = 3,450,000 kg m/s2

Calculate the force of the exhaust gases:

F = ma = (1,000 kg)(-1,200 m/s) = -1,200,000 kg m/s2

Calculate the net force on the rocket:

Net Force = F_rocket + F_exhaust = 3,450,000 kg m/s2 + (-1,200,000 kg m/s2) = 2,250,000 kg m/s2

Calculate the acceleration of the rocket:

a = F/m = (2,250,000 kg m/s2)/(15,000 kg) = 150 m/s2

Calculate the change in velocity of the rocket:

Δv = a × t = (150 m/s2)(6.0 s) = 900 m/s.

To know more about Velocity,

https://brainly.com/question/1482529

#SPJ4

Your weight would be 85.7N if the Earth were seven times as massive as it is and had a radius three times that of today since the gravitational pull is reduced by seven times with an increase in radius.

Gravitation is a fundamental interaction in physics that produces attraction between all objects with mass or energy. Of the four fundamental interactions, gravity is by far the weakest, being about ten times less than the strong interaction. A body's mass is a fundamental characteristic. Before the discovery of the atom and the field of particle physics, it was generally thought to be tied to the amount of matter in a physical body. x = 600N/7, x = 85.7N

Learn more about gravitational here

https://brainly.com/question/3009841

#SPJ4

Psychological research gives us information about the research that psychologists conduct for systematic study and for analysis of the experiences and behaviors of individuals or groups.

There are two ways in which psychological research is based and that is the research being androcentric and ethnocentric. Examples of this include the theory of personality and the attachment of the theory.

There are many more biases is well in psychological research which are Citation bias, Language bias, and Outcome reporting bias. The citation bias includes whether the research receives citations or not. Language bias includes when research is published in one language over another. The outcome reporting bias includes that when only some outcomes are reported from a study.

So we can conclude that there are two ways in which early psychological research was biased and that are; when research is androcentric and ethnocentric.

Learn more about Psychology here: https://brainly.com/question/12011520

#SPJ1

A radio message is sent home by astronauts in a spaceship approaching Mars at a distance of from Earth.

A contact from Mars travels [between 3 and 22] minutes at light speed to reach Earth. Relativity contributes to the fact that the distance between Earth and Mars is 1.26 seconds longer.

A Mars year is roughly equivalent to two Earth years because of Mars' nearly two-fold longer orbital period than the Earth's. Earth and Mars are 57.6 million kilometers (35.8 million miles) from one another, while 401 million kilometers separate them at their farthest point (249 million mi).

The sole means of contact between Earth and Mars are radio and messenger. A courier will undoubtedly require a lot of time. We can determine how long it will take a radio message to travel between the two planets since radio waves travel at the speed of light (299,792 km/s; 186,282 mi/s). When the two planets are at their closest, the one-way voyage takes the fewest amount of time—3.2 minutes.

The time required for a one-way trip is 22.3 minutes when they are the furthest apart. A round-trip message will take between 6.4 and 44.6 minutes to send and receive. Of course, receiving an answer will take the same amount of time in each situation.

Learn more about Contact here:

https://brainly.com/question/3966206

#SPJ4

A baseball weighs 0.15kg and has a south momentum of 6.0kg m/s. The speed of the baseball was (v) = 40 m/s south.

It's a physical magnitude that measures the product of the mass by the velocity of a particle. Its units in the International System is kg. m/s and the formula is

p = mv

where

m is the mass of the object

v is its velocity

In this problem, we know:

p = 6.0 kg m/s is the momentum of the baseball

m = 0.15 kg is its mass

Therefore, we can re-arrange the equation to find the baseball's velocity:

v = p/m

v = 6.0/0.15

v = 40  m/s south

Learn more about  velocity problems

https://brainly.com/question/28320861

Answer:

-3.2m

Explanation:

To find the distance of the 25N weight from the pivot, we can use the concept of moments. The moment of a force is the product of the force and the perpendicular distance from the pivot to the line of action of the force.

The total moment about the pivot due to the weights on side A is:

Moment_A = (10N * 4m) + (30N * 2m) = 80Nm

The moment of the 25N weight on side B must be equal and opposite to the total moment of the weights on side A, so we can set up the following equation:

Moment_B = -80Nm

We can solve for the distance of the 25N weight from the pivot by rearranging the equation to solve for x:

x = Moment_B / 25N = -80Nm / 25N = -3.2m

So the distance of the 25N weight from the pivot is -3.2m. This means that the weight is 3.2m to the left of the pivot, since the pivot is taken as the origin for the purpose of calculating moments.

A diver can regulate his rate of rotation and reach the water in a vertical position because his angular momentum stays constant while he is in the air. This information makes it easier for us to comprehend how this is possible.

As a result, Option D is accurate.

The rotating counterpart of linear momentum in physics is called angular momentum. Given that the total angular momentum is conserved, or remains constant in a closed system, it is an important physical quantity. By dividing the rotational inertia of an item by the angular velocity, one may get its angular momentum. The angular velocity of an item is used to calculate its rotational speed. An object's rotational inertia is what makes turning it challenging. On an ice rink or in an office, someone spinning

To know more about Angular momentum here

https://brainly.com/question/29524750

#SPJ4

Since this car moves at 45 kilometers per hour, an option which describes if the given value is speed or velocity include the following: D. speed, because there is no specific direction.

In Science, speed can be defined as the distance covered by a physical object per unit of time. This ultimately implies that, speed is a scalar quantity because it has magnitude but no direction.

In Science, velocity can be defined as the distance covered by an object per unit of time in a specific direction. This ultimately implies that, velocity is a vector quantity because it has both magnitude and direction.

In this context, we can reasonably infer and logically deduce that a car that moves at 45 kilometers per hour describes speed rather than velocity, because there is no specific direction mentioned.

Read more on velocity here: brainly.com/question/5400886

#SPJ1

Since no direction is specified, the correct answer is the last option which is speed, because there is no specific direction

Speed is a scalar quantity. That is, it has only magnitude but no direction. While velocity is a vector quantity. That is, it has both magnitude and direction.

If a car moves at 45 kilometers per hour, only the car magnitude is given but no direction.

The option that describes if the given value is speed or velocity is speed, because there is no specific direction

Therefore, the correct option is speed, because there is no specific direction.

Learn more about Speed here: https://brainly.com/question/24739297

#SPJ1

Eudora spent 0.5 hours from home to library and 1.5 hours from library to school.

Given that,

Average speed from home to library S₁ = 12 km/h

Average speed from library to school S₂ = 76 km/h

Total distance = 120 km

Time = 2 hrs

Let the time spent from home to library  be x. So, from library to school will be = 2 - x

S₁ = 12 km/h

Time spent from home to library T₁ = x

S₂ = 76 km/h

Time spent from library to school T₂ = 2 - x

Distance can be calculated as, D₁ = S₁ T₁ = 12 x

D₂ = S₂ T₂ = 76(2 - x) = 152 - 76 x

As, D₁ + D₂ = 120

12 x + 152 - 76 x = 120

-64 x = -32

x = 0.5

So, T₁ = 0.5 hrs

T₂ = 2 - 0.5 = 1.5 hrs

To know more about time:

https://brainly.com/question/21288829

#SPJ4

These tides occur twice each lunar month throughout the entire year. When the earth, moon, and sun are all in alignment, neap tides are produced by the sun's gravitational pull amplifying that of the moon.

Instead, the phrase refers to the idea of the tide "springing forth." Regardless of the season, spring tides happen twice each lunar month. Neap tides happen when the sun and moon are at right angles to one another, which also happens twice a month.

The sun, the form of the ocean, and the moon all have an impact on how much or little the tide rises or falls on Earth. Moon tides are the results of the moon's influence on the Earth's tides. The major subject of this article is moon tides.

To learn more about tides visit:

brainly.com/question/9493666

#SPJ4

Speed as the skier crashes into the snow bank: 0.434 m/s

Distance the snow compresses: 1.544 m

The speed of the skier as he crashes into the snow bank is the initial speed since there is no acceleration due to the lack of friction. The distance the snow compresses is calculated using the following equation:

compression = (mass x velocity2) / (2 x spring constant)

Therefore, compression = (75 kg x 0.4342) / (2 x 50 N/m) = 1.544 m

95 N much force is needed to pull the sledge at a constant speed.

A force in physics is an effect that has the power to alter what an object moves. Every object with mass might travel faster or at a different rate as a result of a force. A push or a pull made natural sense when describing force. Since forces are vector quantities, they own both size and direction.

The sled is being subjected to the following horizontal forces:

F = applied force.

Fr = friction force.

And the following vertical forces:

N = normal force.

W =combined weight of the person and the sled

The second law of Newton states:

F = m * a

where the object's mass is "m" and its acceleration is "a"

So, in the horizontal direction:

F - Fr = m *a

Determining the force, F, required to keep the sled moving at a constant pace (acceleration = 0). Then,

F - Fr = 0

F = Fr

The applied force must have a magnitude equal to or greater than the friction force.

The friction force is calculated as follows:

Fr = μ · N

Where μ is coefficient and N represent the normal force, respectively.

Let's use Newton's second law with in vertical direction to determine the normal force:

F = N - W

   = m · a

Keep in mind that the sledge is not accelerated vertically so that a = 0:

N - W = 0

N = W

The mass is the total of a weight of a person plus the mass of the sled, and the force is equivalent to the weight:

W = 51 N + 680 N = 731 N

Then:

N = 731 N

Fr = 0.13 · 731 N

Fr =  N

Then

F = 95.03 N

As a result, 95 N of force is necessary to pull a sled at a steady pace.

To learn more about force from the given link:

https://brainly.com/question/14308662

#SPJ4

By looking at the brightness of two stars, astronomers can compare the relative distance of the two stars from Earth.

Who are astronomers?

Astronomers are scientists who study the universe and its phenomena. They observe, analyze, and interpret astronomical data to understand the physical and chemical properties of celestial bodies and their evolution over time. Astronomers use a variety of tools and techniques, including powerful telescopes, spectroscopy, and computer-based analysis, to explore the universe.

Step 1: Write the equation in the form of y= mx + b.

I = k/d^2

y = k/d^2

Step 2: Substitute the given values for k and m.

y = 16/d^2

Step 3: Graph the equation by plotting points for various values of d.

We can plot points for various values of d. For example:

d = 1, y = 16

d = 2, y = 4

d = 3, y = 16/9

d = 4, y = 1

d = 5, y = 16/25

We can plot these points on a graph and connect them with a smooth curve.

To know more about astronomers,

https://brainly.com/question/14276202

#SPJ4

A container of gas might lose pressure by cooling down because there are fewer collisions with the container's side.

When the gas in the supplied sealed jar is chilled, the molecules travel more slowly. This occurs because when the temperature drops, gaseous particles get closer to one another (on cooling). Upon cooling, there are also fewer accidents.

The container's capacity has shrunk, which reduces the distance the gas molecules must travel before colliding. As a result, there will be more collisions per second, increasing the pressure.

To know more about collisions visit:

brainly.com/question/4322828

#SPJ4

After seeing how big Jupiter is if the Sun were just a sphere measuring one meter in diameter. If somehow the solar is 1,391,000,000 meters diameter, so its diameter, if it had been a sphere, would be 7.2 × 10⁻¹⁰.

Celestial bodies that fit the following descriptions are considered planets: It has cleansed the space around and within its orbit because (a) it is orbiting the Sun; (b) it possesses sufficient mass for its soul to outweigh rigid body forces; and (c) it has orbited the Sun.

An object's distance is equal to its overall directionless velocity. Depending of where it started or concluded, distance is really the amount of territory that an object has covered.

Mercury: 0.0035 meters

Venus: 0.0087 meters

Earth: 0.0092 meters

Mars: 0.0049 meters

Jupiter: 0.1028 meters

Saturn: 0.086 meters

Uranus: 0.0367 meters

Neptune: 0.0356 meters

Therefore, you have seen how large Jupiter would be if the Sun were a 1 meter sphere, the other planets distance are described above .

Learn more about planets from the given link.

https://brainly.com/question/1286910

#SPJ4

After seeing how big Jupiter is if the Sun were just a sphere measuring one meter in diameter. If somehow the solar is 1,391,000,000 meters diameter, so its diameter, if it had been a sphere, would be 7.2 × 10⁻¹⁰.

Planets are celestial bodies that match the following criteria: Because it is circling the Sun, has enough mass for it's own soul to override rigid body forces, and has orbited the Sun, it has cleaned the space in and around its orbit.

The distance between two objects is equal to their combined directionless velocity. Distance is basically the amount of ground that only an object has traveled, depending on where it began and ended.

Mercury: 0.0035 meters

Venus: 0.0087 meters

Earth: 0.0092 meters

Mars: 0.0049 meters

Jupiter: 0.1028 meters

Saturn: 0.086 meters

Uranus: 0.0367 meters

Neptune: 0.0356 meters

Therefore, you have seen how large Jupiter would be if the Sun were a 1 meter sphere, the other planets distance are described above .

Learn more about planets from the given link.

brainly.com/question/1286910

#SPJ4