A 21 g ball of clay traveling east at 3.2 m/s collides with a 32 g ball of clay traveling north at 2.1 m/s. What are the speed and the direction of the resulting 53 g ball of clay?

The unit vector notation in the given direction is [tex]0.58 \hat x + 0.81 \hat y[/tex].

A physical quantity that has both directions and magnitude is referred to as a vector quantity.

A lowercase letter with a "hat" circumflex, such as "û," is used to denote a vector with a magnitude equal to one. This type of vector is known as a unit vector.

In terms of subtracting a vector, it works the same as adding the vector's opposite.

Given that:

[tex]\vec A = 22 \hat x + (-14)\hat y,\\\vec B = 2.5\hat x + 13\hat y.[/tex]

( two given vectors are written here.)

Therefore: the subtraction of these two vectors will be:

[tex]\vec A - \vec B = (= 22 \hat x + (-14)\hat y) - (2.5\hat x + 13\hat y)\\= 19.5\hat x - 27 \hat y[/tex]

Unit vector in that direction of vectors  is =

[tex]= \frac{19.5\hat x - 27 \hat y}{\sqrt{19.5^2 + (-27)^2} } \\= 0.58 \hat x + 0.81 \hat y[/tex]

Learn more about vector quantity here:

https://brainly.com/question/3482586

#SPJ1

According to the acronym TARGET, affiliation is not a strategy to support a mastery oriented environment.

Creating a mastery oriented environment is where students are actively engaged in the learning process, setting and achieving meaningful goals, and feeling a sense of accomplishment. TARGET is a useful acronym for that goal.

TARGET stands for:

Trust: Building trust between teacher and students is essential so that it increases the likelihood for taking risks and giving feedback.

Authenticity: Teachers must be authentic in their interactions with students. This means being genuinely interested and honest in teaching and assessment.

Respect: It is important to create an atmosphere of respect in the classroom. Respect should be shown to all students.

Growth Mindset: A growth mindset is essential and it means emphasizing effort and progress over ability and success.

Expectations: Teachers should set clear expectations for students, but be flexible in how these expectations are met.

Affiliation is not a measure for fostering a mastery-oriented environment.

It refers to the quality of being intimately connected to or allied with a certain individual, organization, party, business, etc.

Learn more about mastery oriented environment here:

https://brainly.com/question/30010700

#SPJ4

"Suppose you use the southern cross to determine that the south celestial pole appears 40 degrees above your horizon. Then you must be located at latitude 40 degrees south." The correct option is 4th.

The local sky's star heights are unaffected by longitude.

The celestial equator and celestial horizon would coincide. Now picture yourself on the Earth's equator, at 0° latitude. Here the celestial equator would pass through your zenith and the north celestial pole (NCP) would lie at the North Point of the horizon and have an altitude of 0°.

Degrees north (+) or south (-) of the celestial equator are used to measure declination. The Earth's Equator is projected onto the Celestial Sphere to create the Celestial Equator. By definition, the CE has a declination of 0 degrees.

To know more about latitudes:

https://brainly.com/question/21098820

#SPJ4

The two types of simple machine make up this compound machine are  the screw and the lever.

A screw is a simple machine that consists of a spiral groove or ridge, called a thread, wrapped around a cylinder or cone. When the screw is rotated, it can be used to hold two objects together or to lift an object by turning it into a threaded hole.

Therefore, A lever is a simple machine that consists of a rigid bar that pivots on a fixed point, called a fulcrum. A force applied to one end of the lever can be used to lift or move an object at the other end. Lever can be classified into three classes depending on the position of the load, effort and fulcrum.

Learn more about simple machine from

https://brainly.com/question/30111143

#SPJ1

The resistance of working potential difference of the 6.2 V, 4.5 W lamp is 8.54 ohm. When terminal pd across the battery is 6.2 V, the emf of the battery is 8.01 V.

The opposition that a substance provides to the flow of electric current is referred to as resistance. The uppercase letter R represents it. The ohm is the standard unit of resistance, which is sometimes written as a word and sometimes represented by the uppercase Greek letter omega. Resistance is a measure of an electrical circuit's resistance to current flow. Resistance is measured in ohms, which is represented by the Greek letter omega ().

Here,

r=2.5 ohm

V= 6.2 volts

P=4.5 watt

P=V²/R

R=V²/P

R=6.2*6.2/4.5

R=8.54 ohm that is about 9 ohm.

I=V/R

I=0.726 A

EMF=V+Ir

=6.2+0.726*2.5

=6.20+1.81

=8.01 volts

The resistance of the 6.2 V, 4.5 W lamp at its working potential difference is 8.54 ohm. The emf of the battery when terminal pd across the battery is 6.2 V is 8.01 V.

To know more about resistance,

brainly.com/question/13258713

#SPJ1

The prediction which is true about the center of mass of the two-object system immediately after the collision is option C. does not change.

The distinct location at which weighted precise location of the distributed mass adds to zero at any particular time is known as the centre of mass in physics. Here is where a force can be exerted to produce an accelerometers without also producing an angular momentum.

Momentum is conserved when there is collision among two objects . The ultimate momentum is indeed not zero because the beginning momentum is not. They can't indeed be at ease. One of the objects may be at rest following the collision.

The question is incomplete, find the complete question here

consider the situation in which the objects collide but do not stick together. which of the following predictions is true about the center of mass of the two-object system immediately after the collision?

A. it increases

B. it decreases

C. does not change

D. none of these

To learn more about centre of mass  here

brainly.com/question/29723658

#SPJ4

For the two securities that have distinct risks and returns, the appropriate measure is the A: standard deviation.

A standard deviation (symbol σ) is a measure of how disseminated the data is in relation to the mean. A low standard deviation indicates that data are clustered around the mean; while a high standard deviation shows that data are more spread out.

Standard deviation is used to measure and compare the two securities that have distinct risks and returns. So option A: standard deviation is the correct answer.

You can learn more about standard deviation at

https://brainly.com/question/475676

#SPJ4

Following the receipt of these results, researchers will proceed to the control condition.

A condition in an experiment or research design that does not entail exposure to the therapy or intervention being studied. Thus, introducing a control condition helps researchers to compare how things are in the presence of an independent variable to how things would have been if an independent variable had not been present. Participants in an experimental condition are given a treatment or experience, but those in a control condition are not. The major method by which researchers achieve this level of control over extraneous factors across conditions is known as random assignment, which refers to the use of a random procedure to choose which people are evaluated in which situations.

Here,

After receiving these data, researchers will move on to the control condition.

To know more about control condition,

https://brainly.com/question/30258580

#SPJ4

Answer: ch2.7 × 10.0m = 2.10 ÷ 1.40 sec

= ch.10.23.

Explanation:

The measured value of gravity 'g' can be found by plugging the given height and time into the formula h = 0.5*g*t^2. Solving for 'g' gives us a measured value of approximately 10.20 m/s^2.

You can calculate the measured value of gravity 'g' using the formula for motion under gravity, which is: h = 0.5*g*t^2. Here 'h' stands for height, 'g' for gravitational acceleration and 't' for time.

Given in the problem is h = 10.0 m, t = 1.40 s. Substituting these values in the formula, we get 10.0 = 0.5*g*(1.40)^2.

Solving for 'g', we find g ~ 10.204 m/s^2. Hence your measured value of 'g' is approximately 10.20 m/s^2.

https://brainly.com/question/20324590

#SPJ2

Since the cart moves along the track at a constant speed, its velocity vector at points a, b, and c will have the same magnitude and direction.

The velocity vector can be represented as an arrow pointing in the direction of motion with the magnitude being the speed of the cart.

The acceleration vector at points a, b, and c will be zero since the cart is moving at a constant speed. The acceleration vector can be represented as a zero vector or a vector of length 0 with no direction.

So, the velocity and acceleration vectors at points a, b, and c can be represented as:

Point a:

Point b:

Point c:

Learn more about velocity here:

https://brainly.com/question/25905661

#SPJ4

The greatest option is C because all of them are correct. The planet's temperature is affected by the sun's energy output, the amount of carbon dioxide in the atmosphere, and its distance from the earth.

The atmosphere of Earth is the layer of gases with high speed, collectively known as air, that envelops the planet and gives it its planetary atmosphere. The Earth's atmosphere keeps life on the planet safe by maintaining the pressure necessary for liquid water to exist on the surface. The distance between any two places in space is equal to the length of the straight line connecting them, which is also the shortest path. This is the usual conception of distance in classical physics, especially in Newtonian mechanics.

Learn more about speed here

https://brainly.com/question/28224010

#SPJ4

In order to collect data to find an object's gravitational and inertial mass, meterstick and timer are two essential measuring devices that are needed.

Using the angular frequency value (w), inertial mass (m) is determined using the equation below:

w=√k/m

The equation above is solved for mass (m).

m=k/w²

To calculate the gravitational mass, following equation is used:

force gravity =  G  ×  M  ×  m / radius²

Where: mass, m, is 1 kilogram; mass of the Earth, M, is 6.0 × 1024 kilogram; the radius of the Earth (separation of masses), r, is 6.4 × 106 m; and G is 6.67 × 10⁻¹¹ newton square metrekilogram-2}.

To know more on gravitational and inertial mass visit :

https://brainly.com/question/13163709

#SPJ4

The total energy stored in these vehicles in gigawatt-hours is 57.4 GWh.

Based on the given information, if 80% of the 5.4 million hybrid vehicles sold in the United States since 1999 are still in service, there are approximately 4.32 million hybrid vehicles currently in use. If the average energy stored in a hybrid vehicle battery is 1.5 kilowatt-hours (kWh), this means that the total energy stored in these vehicles is approximately 6.48 gigawatt-hours (GWh).

Similarly, if 90% of the 1.4 million plug-in electric vehicles sold in the United States since 2010 are still in service, there are approximately 1.26 million plug-in electric vehicles currently in use. If the average energy stored in a plug-in electric vehicle battery is 45 kWh, this means that the total energy stored in these vehicles is approximately 57.4 GWh.

Therefore, the total energy stored in the hybrid and plug-in electric vehicles still in service in the United States is approximately 63.88 GWh. This is a significant amount of energy that can be used for transportation and potentially for other energy needs as well.

Learn more about gigawatt-hours here:

https://brainly.com/question/29257947

#SPJ4

Determine (a) the value of k in light of the fact that the particle has a velocity of +9 m/s at x=-3 m and rests at the origin.

The speed of a particle—real or hypothetical—in a medium because it transmits a pulse is known as the particle velocity. The meter per second (m/s) is the metric unit for particle speed. Most of the time, this pressure wave is longitudinal, such as with noise, but it may also be transverse, similar to the vibration of the a tight string.

You could understand the phrase "A particle in repose prefers to stay at rest" to mean that what a particle that isn't moving relative to a certain context aware tends to remain stationary relative to those same things.

To know more about velocity visit:

https://brainly.com/question/18084516

#SPJ4

The distance at which object falls is 150m.

Given,

The velocity of the object as a function of time is : [tex]v_{y} = (-3\frac{m}{s^{2} } )t[/tex]

We know that [tex]a = dv/dt[/tex] and [tex]a = v. dv/ds[/tex]

Using these two equations we get: [tex]ds = v .dt[/tex]

Where,

v = velocity function

a = acceleration

s = distance

t = time

To find distance we need to integrate i.e.

[tex]s= \int\limits^a_0 {-3t} \, dt[/tex]

Here a = upper limit = 10 sec (t)

So, [tex]s = \frac{-3t^{2} }{2}[/tex]

Putting t=10, we get s = 150m

So, the distance is 150 m.

To know more about kinematics visit:

https://brainly.com/question/29732228

#SPJ4

4.33×103 N/C, 35.0∘ below the positive x-axis if qa=+2.50 nC, qb=−8.00 nC, and qc=+1.50 nC are the charges on all the three vertexes of an equilateral Triangle.

As we know the electric field at a point due to a charged particle is E = F/q where f is the force and q is the charge. If the orientation of charges is the same as shown in the image attached then

E = KQq/[tex]r^{2}[/tex]q  where k = 8.99 × 10 9 N ⋅ m 2 /C 2.

where Q is charged  particle and q is another charge so

E = 8.99 × 10 9*2.50*8.00 /3/4r*2.5

which results in

4.33*10^3 N/C

that is the net electric field at the center of the Triangle with charges on all the vertexes.

Learn More about Electric Field: https://brainly.com/question/14372859

#SPJ4

When a force of size F = 15 N is observed at an angle from the horizontal, its horizontal and vertical components are denoted by F cos and F sin, respectively.

Because the block's motion as well as the direction of the frictional force are in opposition to one another, friction produces negative work. Frictional energy may also be zero. For instance, if we attempt to push an extremely heavy block across a rough surface, the block remains stationary.

The cycle's pace tends to slow down due to an opposing force known as air resistance force, which acts in the opposite direction. The pressure as well as the air drag force are both referred to as horizontal forces when the direction is taken into account.

To know more vertical components about visit:

https://brainly.com/question/12444718

#SPJ4

The Energy equation for the pendulum at the lowest position will be  E(total low) = KE(Low) + ThE(low) and for soccer at maximum height E(high) = KE(high) + PE(max).

For a pendulum, at the lowest point, all the potential energy is converted into kinetic energy and the pendulum motion reaches its maximum velocity. Ignored air resistance. Therefore, no heat energy is generated. This means that all potential energy is converted into kinetic energy. Taking drag into account, the final energy is the sum of thermal energy and kinetic energy, so the sum of the two equals the potential energy of the tip.

E(total low) = PE(low) + KE(low) + ThE(low)

PE(low) = 0

so, E(total low) = KE(Low) + ThE(low) = PE(high)

For a soccer ball, the ball has a horizontal velocity component at its highest point and reaches a certain height. The top speed is slower than the initial speed. The total energy at the tip is therefore equal to the sum of the kinetic and potential energies. As in the previous case, the thermal energy is missing because we ignored the resistor.

E(high) = KE(high) + PE(max)

Therefore, the Energy equation for the pendulum at the lowest position will be  E(total low) = KE(Low) + ThE(low) = PE(high) and for soccer at maximum height E(high) = KE(high) + PE(max).

To learn more about total energy:

https://brainly.com/question/15576394

#SPJ4

The complete question is:

follow the example below (the figure attached) to write an equation and sketch a graphical model of energy in each situation. Write down the expanded total energy equation in the case of the pendulum at tje low position and for the soccer ball at its maximum height. Also, make the pie chart diagram of different forms of energy (PE, KE, and ThE).

The speed of the truck just before braking is 23.24 m/s.

The speed of the truck before braking is calculated by applying the third kinematic equation as shown below.

v² = u² - 2as

where;

When the truck stops, the final velocity = 0

0 = u² - 2as

u²  = 2as

u = √2as

u = √ ( 2 x 6 x 45 )

u = 23.24 m/s

Learn more about initial speed here: https://brainly.com/question/24493758

#SPJ1

A sea or an ocean's water is known as seawater or salt water. Oceans around the world have an average salinity of 3.5% (35 g/L, 35 ppt, 600 mM).

To learn more about seawater refer to:

https://brainly.com/question/12133478

#SPJ1

In this case, the weight in air is 30.4 N and the weight in water is 17.0 N the density can be found using the formula:

density of object = (weight in air - weight in water) / volume of object

The volume of the statue is required to calculate the density using the formula:

density of object = (weight in air - weight in water) / volume of object

To determine the density of the ceramic statue, you can use the concept of buoyancy. The buoyant force on an object submerged in a fluid is equal to the weight of the fluid that is displaced by the object. This can be calculated using the equation:

density of object = (weight in air - weight in water) / volume of object

In this case, the weight in air is 30.4 N and the weight in water is 17.0 N. To calculate the volume of the object, you will need to measure it or have the information available. Once you have the volume, you can plug it into the above equation and calculate the density of the ceramic statue.

Learn more about buoyancy here:

https://brainly.com/question/19168433

#SPJ4

The term "spontaneous generation" is erroneous. Only life can give birth to more life. Airborne microbes can be detected.

A scientific experiment is any method that uses measurements and tests to confirm or deny a theory. A hypothesis is a notion that looks to be true but has yet to be confirmed, from which a study might be created. A basic experiment often addresses a "What would happen if...?" cause-and-effect inquiry. For example, you're wondering if misting a plant with water helps it develop faster. You get a sense of how the plant grows without being misted and then compare it to how it grows after being misted.

Here,

The phrase "spontaneous generation" is incorrect. Only life can create more life. Microbes in the air can be detected.

To know more about experiment,

https://brainly.com/question/29865934

#SPJ4

Midway between A and B is the position in its motion when is the object's potential energy at a maximum.

A body's mass is an inherent quality. Before the understanding of the atom and particle physics, it was widely considered to be tied to the amount of matter present in a physical body. A body's mass doesn't quite alter at any point in time.

Simply put, a mass-Earth-spring system is a spring device with a block hanging or fastened to the open end of the spring. The duration of any item moving in a simple harmonic motion may typically be determined using this system.

To learn more about potential energy  here

brainly.com/question/24284560

#SPJ4

Answer:

True.

Explanation:

A synthesis reaction is a type of chemical reaction in which two or more substances combine to form a new compound. Methane (CH4) and oxygen (O2) can combine in a synthesis reaction to form carbon dioxide (CO2) and water (H2O). This reaction is exothermic and is the basis of combustion reactions.

The balanced equation for this reaction is:

CH4 + 2O2 -> CO2 + 2H2O

In this reaction, one methane molecule and two oxygen molecules combine to form one carbon dioxide molecule and two water molecules.

It's worth mentioning that methane is considered a greenhouse gas, and the combustion of methane releases carbon dioxide and water vapor into the air, which contribute to global warming and climate change.

This is a relation for pressure as a function of elevation z.

Pressure is a measure of the force that is applied over a given area. It is expressed in units such as pounds per square inch, atmospheres, or pascals.

Let the pressure at z be denoted by P(z) and the density at z be denoted by ρ(z).  
From the given relation, we have
$$\frac{dP}{d\rho}= c\rho^n$$
The given relation for pressure change across a differential fluid layer of thickness dz in the vertical z-direction is given as
$$dP = -g \rho dz$$
where g is the acceleration due to gravity.  
Substituting for $dP/d\rho$ in terms of $\rho$ from the first expression and integrating both sides with respect to $z$, we get:
$$P(z) - P(0) = -g \int_0^z \rho^{n+1} dz + C $$
where C is a constant of integration. Since $P(0)$ denotes the pressure at z=0, it can be written as:
$$P(z) = -g \int_0^z \rho^{n+1} dz + P(0) $$
This is a relation for pressure as a function of elevation z.

To learn more about pressure
https://brainly.com/question/26101731
#SPJ4

A charged particle will not follow a field line if it is subjected to an external force that is greater than the force of the electric field.

Electric field is an area of influence created by an electric charge. It is a vector field that surrounds a charged particle or object and exerts a force on other charged particles or objects in its vicinity. Electric fields are created by the movement of electrons and protons, which are both components of atoms. The strength of an electric field is determined by the amount of charge present, as well as the distance from the source.

For example, if a charged particle is subjected to a strong magnetic field, it will experience a Lorentz force which can cause the particle to deviate from its original trajectory and follow a curved path instead of following the field line.

To learn more about electric field
https://brainly.com/question/30144963
#SPJ4

The power required to do the same amount of work in three times the time is 19000 watts / 3 = 6333.33 watts.

What is power?

Power is a measure of the rate of energy transfer. It is the rate at which work is done or energy is converted from one form to another. Power is typically measured in watts, which is equal to one joule of energy per second. Power is an important concept in physics, as it can be used to calculate the amount of work done, the amount of energy transferred, or the rate of change of some other physical quantity. Power is also closely related to the concepts of force and energy.

Therefore, The power required to do the same amount of work in three times the time is 19000 watts / 3 = 6333.33 watts.

To learn more about power

Here: https://brainly.com/question/30272839

#SPJ1

Factoring in everything we currently know about the history of the universe, our best estimate for the age of the universe is 13.8 billion years old. additionally, some scientists speculate that our universe is not the only universe that exists, but the only one we can gather evidence about. this idea is called Multiverse Theory .

The multiverse theory is the idea that there may be multiple universes existing in parallel to our own, with their own laws of physics, laws of nature, and potentially different versions of ourselves. The multiverse theory has been proposed by many scientists.

To learn more about Universe

brainly.com/question/9724831

#SPJ4

Cause: According to this law, the skateboard requires an external source of force to move, which the skateboarder indirectly provides.

Effect: On the pavement, the skateboarder reverses forward (that is he applies a force on the road in a direction opposite the direction of intended motion).

What connection exists between a cart's mass and its acceleration after the spring is let go?

The acceleration of the cart is inversely proportional to its mass. As a result, the acceleration of the cart will decrease as its mass increases.

The mass and acceleration are inversely correlated: the acceleration decreases as mass increases.

Newton's second law states that force and acceleration are directly proportional to one another, so if a cart's mass is held constant while the force acting on it increases, the cart will accelerate. When an object moves, it has kinetic energy, which it then expends.

To learn more about acceleration refer to;

brainly.com/question/460763

#SPJ1