ball a is projected vertically upward at 30 m/s from a point p. four seconds later, ball b is also launched vertically upwards from the same point p and also at 30 m/s. for how long has ball a been in motion when two balls collide? take the acceleration due to gravity to be g

In addition to generating energy, mitochondria also carry out a variety of other tasks for the cell, such as cellular metabolism, the citric acid cycle, producing heat, regulating calcium concentration, etc.

The majority of the chemical energy required to drive a cell's metabolic operations is produced by membrane-bound cell organelles called mitochondria (plural: mitochondrion). Adenosine triphosphate is a little molecule that stores the chemical energy generated by the mitochondria (ATP).

In addition to their obvious role in oxidative phosphorylation, which generates cellular ATP, mitochondria also play critical roles in ion homeostasis, various metabolic pathways, apoptosis and programmed cell death, as well as the creation and consumption of ROS.

To learn more about mitochondria visit:

brainly.com/question/10688306

#SPJ1

The correct answer is "kinetic energy decreases because iron shavings move in the direction of magnetic force."

When a horseshoe magnet is moved near a pile of iron shavings, the magnet's magnetic force attracts the shavings, causing them to move toward the magnet. As a result, the iron shavings begin to align along the magnet's magnetic field lines, attaching to both ends of the magnet.

Because the iron shavings are moving in the direction of the magnetic force, they are doing work against it, and this work is transferred from their kinetic energy to the system's magnetic energy. The system's kinetic energy is reduced as a result.

As a result, the correct answer is that kinetic energy decreases as iron shavings move in the direction of magnetic force.

To Learn More About force click

https://brainly.com/question/13191643

#SPJ4

The moment of inertia of the 1.5-kg rod rotating about its center is 0.6075 kg*m².

The moment of inertia of a rod rotating about its center can be calculated using the formula:

I = (1/12) * m * L^2

where I is the moment of inertia, m is the mass of the rod, and L is the length of the rod.

In this case, the mass of the rod is 1.5 kg, and the length of the rod is 1.8 m. Plugging these values into the formula, we get:

I = (1/12) * 1.5 kg * (1.8 m)^2

= 0.6075 kg*m^2

Therefore, the moment of inertia of the 1.5-kg rod rotating about its center is 0.6075 kg*m^2.

Learn more about moment of inertia here :

brainly.com/question/15246709

#SPJ4

Theoretical centre to centre distance will be 3.25 inch or 82.55 mm and Gear tooth = 35.

Circular pitch will remain same

P_c = [tex]\pi[/tex]D_p / Tp =  [tex]\pi[/tex]D_G / T_G

D_p / Tp =  D_G / T_G

T_G = D_G x T_p / D_p = 4.375  / 2.125 x 17

T_G = 35

Center-To-Center distance = pitch circle radius of prism + pitch circle radius of gear

= D_p / 2 +D_G / 2

= 1/2 (2.125 + 4.375)

= 3.25 inch

= 3.25 x 25.4 mm

= 82.55mm

Distance is a measure of the amount of space between two points. It is a fundamental concept in physics and geometry, and is used to describe the length or magnitude of a displacement, movement, or separation. Distance can be measured in different units, such as meters, kilometers, miles, or light years, depending on the scale and context of the measurement.

Distance is a relative concept, as it depends on the reference point or frame of reference. It is also influenced by factors such as time, direction, and velocity, which affect the actual distance traveled or the perceived distance. Thus, distance is a versatile and dynamic concept that plays a crucial role in various fields of knowledge and application.

To learn more about Distance visit here:

brainly.com/question/13034462

#SPJ4

The following statement "The amount of energy required to remove an electron from an isolated atom or molecule is the Ionization potential. There is an ionization energy for each successive electron removed" is true.

A molecule is a collection of two or more atoms bound together by chemical bonds; depending on the context, the phrase may or may not include ions that meet this definition.

In quantum physics, organic chemistry, and biochemistry, the difference between ions and molecules is lost, and the term molecule is frequently used to refer to polyatomic ions. A molecule can be homonuclear, consisting of atoms of one chemical element, such as two atoms in the oxygen molecule (O2), or heteronuclear, consisting of more than one element.

To know more about Molecule here-

https://brainly.com/question/19922822

#SPJ4

The velocity of the motorist when he/she reaches the deer is calculated to be 9.96 m/s.

Speed of the motorist is given as 12 m/s.

The maximum acceleration is given as -6 m/s².

Distance = 39 m

Let x be the distance traveled by motorist in his/her reaction time.

Remaining 39-x will be travelled with -6 m/s².

Let us find x with the known values,

s = 39 - x

v = 0

u = 12 m/s

v² - u² = 2 a s

0 - 12² = 2 (-6) (39-x)

-144 = -12 (39-x)

(39-x) = 12

39 - 12 = x

x = 27 m

So, the motorist travelled 27 m in his/her reaction time.

12 t = 27

t = 2.25 s

b) If the reaction time is 3.56 s,

Then distance traveled in his reaction time,

x₀ = 12 × 3.56 = 42.72 m

Remaining distance = 39 - 42.72 = -3.72 m

Motorist is ahead by 3.72m.

Its velocity when it reaches the deer,

v² - u² = 2 a s

v² - 12² = 2 (-6) (3.72)

v² = 144 - 44.62

v² = 99.36

v = 9.96 m/s

The given question is incomplete. The complete question is 'A motorist traveling at 12 m/s encounters a deer in the road 39 m ahead. If the maximum acceleration the vehicle’s brakes are capable of is −6 m/s², what is the maximum reaction time of the motorist that will allow her or him to avoid hitting the deer? Answer in units of s. 015 (part 2 of 2) 10.0 points If his or her reaction time is 3.56429 s, how fast will (s) he be traveling when (s)he reaches the deer? Answer in units of m/s.'

To know more about speed:

https://brainly.com/question/13292377

#SPJ4

Effectiveness of shock compression versus isentropic compression depends on the application and the desired compression characteristics.

Shock compression and isentropic compression are two methods used for compressing air. In shock compression, the air is rapidly compressed by a shock wave, while in isentropic compression, the compression is slow and reversible, and the entropy remains constant throughout the process.

When we compare the PV diagrams for these two compression processes, we observe that the shock compression curve is steeper than the isentropic compression curve. This means that for the same final pressure, the volume in shock compression is smaller than in isentropic compression. This indicates that shock compression is a more effective compression process compared to isentropic compression.

The effectiveness of shock compression arises due to its rapid compression rate, which generates a higher pressure rise and temperature increase. This makes it useful for high-pressure applications, such as in supersonic aircraft engines and shock-wave experiments.

However, shock compression also generates a significant amount of entropy and heat, which can lead to the degradation of the compressed gas. Isentropic compression, on the other hand, produces no entropy or heat, but is slower and less effective for high-pressure applications.

Learn more about compression here:

https://brainly.com/question/30222487

#SPJ4

A star's distance from Earth measured in astronomical units (AU) must be determined (AU). The distance between Earth and the sun is one AU.

Although no planet has an exact circular orbit, the majority of planets have only slightly eccentric orbits. Because of its extremely eccentric orbit, Mercury is an exception.

The orbital form is described by Kepler's First Law. A planet's or a satellite's orbit around the Sun or a planet is not a perfect circle. A "flattened" circle, it is an ellipse. One of the ellipse's foci is the Sun (or the planet's centre).

Therefore, P^2 = a^3 125^2 = a^3 15625 = a^3 a=25. we divide 1 AU by the star's distance from Earth in order to determine its distance from the planet. The response in this instance is 0.000302 AU.

Learn more about planet here:

https://brainly.com/question/15268075

#SPJ4

0.67m from the top of the rod is the center of mass of the system located which is 0.65m long and 0.86kg.

Given the length of rod (d1) = 0.65m

The mass of rod (m1) =  0.86kg

The mass of sphere (m2) = 1.2kg

The distance from the top of the rod to the center of mass of the system can be found using the following equation:

Distance from the top of the rod to the center of mass = (m1*d1 + m2*d2) / (m1 + m2) where m1 is the mass of the rod, d1 is the length of the rod, m2 is the mass of the sphere, and d2 is the distance from the top of the rod to the center of the sphere.

Substituting the given values, we get:

Distance from the top of the rod to the center of mass =

[tex](0.86 * 0.65 + 1.2 * 0.65) / (0.86 + 1.2) = 0.67 m[/tex]

Therefore, the distance from the top of the rod to the center of mass of the system is 0.67 m.

To learn more about center of mass click here https://brainly.com/question/28996108

#SPJ4

The electrical energy consumed by the dryer in 1.5 minutes is 237,600 joules.

Electrical energy is a form of energy that results from the movement of electric charge. It is the energy that is transferred or converted when electric current flows through a conductor or a circuit.

Electricity is generated at power plants using various sources of energy such as fossil fuels, nuclear power, or renewable energy sources like wind, solar, or hydroelectric power. This electrical energy is then transmitted through high-voltage power lines and distributed to homes.

First we should calculate the power:

power = voltage x current

power = 220 V x 12 A = 2640 W

Now we can calculate the electrical energy consumed by the dryer in 1.5 minutes:

Electrical energy = power x time

= 2640 W x 90 s

= 237,600 joules (J)

The electrical energy consumed by the dryer in 1.5 minutes is 237,600 joules.

To learn more about electricity, visit here:

brainly.com/question/8971780

#SPJ1

Free-fall is the state of motion where an object is accelerating due to gravity alone, with no other forces acting on it. Everything inside the ISS is also in free-fall, the astronauts and everything else in the station are weightless

In free-fall, an object is said to be weightless because it experiences zero normal force, which is the force that a surface exerts on an object to support its weight.

When an astronaut is inside the International Space Station, they are essentially in a state of constant free-fall around the Earth. The ISS is in a low-Earth orbit, which means that it is moving fast enough to continuously fall towards the Earth but also fast enough to miss it due to the curvature of the Earth. They experience no normal force and feel as though they are floating in microgravity.

To know more about the free-fall, here

brainly.com/question/10579318

#SPJ4

The name for a burst of activity on an EEG in the early stages of sleep is "sleep spindle".

A burst of brain activity during non-rapid eye movement (NREM) sleep is known as a sleep spindle and can be seen on an electroencephalogram (EEG). Although it can occur in other NREM sleep stages as well, it is a hallmark of Stage 2 sleep.

Sleep spindles are characterized by a burst of rhythmic brain activity that spans from 11 to 16 Hz and are short (often lasting only a few seconds). The thalamus, a region of the brain that is essential for transmitting sensory data to the cerebral cortex, is the source of this activity. The thalamus absorbs sensory input during sleep and modifies the information flow to the cortex, enabling the brain to filter out unimportant inputs and concentrate on significant ones.

To know more about sleep spindle visit:

https://brainly.com/question/13031857

#SPJ4

The weight of the copper sheet is approximately 6.21 newtons.

Newtons are a unit of measurement used to quantify force in the International System of Units (SI). One newton is defined as the amount of force required to accelerate a mass of one kilogram at a rate of one meter per second squared.

In simpler terms, if a force is applied of one newton to an object with a mass of one kilogram, the object will accelerate at a rate of one meter per second squared.

The symbol for newton is N, and it is named after Sir Isaac Newton, the famous physicist and mathematician who formulated the laws of motion. Newtons are commonly used in physics, engineering, and other sciences to describe the amount of force acting on an object.

To find the weight of the copper sheet, one has to know its mass and the acceleration due to gravity, which is approximately 9.81 m/s^2.

The volume of the sheet can be found by calculating the volume of the cylinder with height equal to the thickness of the sheet: V = πr^2h = π(15 cm)^2(0.1 cm) = 70.69 cm^3

Next, calculate the mass of the copper sheet, which can be found by multiplying its volume by its density. The density of copper is approximately 8.96 g/cm^3:

Finally, find the weight of the copper sheet by multiplying its mass by the acceleration due to gravity:

Therefore, the weight of the copper sheet is approximately 6.21 newtons.

To know more about Newton, visit:

https://brainly.com/question/28171613

#SPJ4

During the ride, no energy is gained or lost. The automobiles' kinetic energy passes to the track, shaking it as energy flows from one location to another.

Energy transformation is when the energy is transformed into another energy. Kinetic energy is converted into potential energy, which is subsequently converted back into kinetic energy.

Friction between the cars and the track also converts it from kinetic to thermal energy. The overall amount of energy doesn't change, though.

Therefore, no energy is acquired or lost during the ride. The track is shaken as a result of the kinetic energy of the cars moving from one place to another.

To learn more about energy transformation, refer to the link:

https://brainly.com/question/29979360

#SPJ9

The net force needed to hold the plate to the pipe is nearly the fluid flowing through the stationary orifice plate is [tex]F = p_1A_1+m(V_1-V_2)-p_2A_2[/tex].

Write the momentum equation at the inlet and the exit of the orifice plate.

[tex]p_1A_1-F-p_2A_2=m(V_2-V_1)\\\\F = p_1A_1+m(V_1-V_2)-p_2A_2[/tex]

Here, the inlet pressure is [tex]p_1[/tex] the speeds at the intake and exit are [tex]V_1[/tex] and ,

[tex]V_2[/tex] the fluid's density is, the nozzle's force on water is, the area at the inlet is, [tex]A_1[/tex]  and [tex]A_2[/tex] as well as the area near the exit .

Net force is the vector sum of forces acting on a flyspeck or object. The net force is a single force that replaces the effect of the original forces on the flyspeck's stir. It gives the flyspeck the same acceleration as all those factual forces together as described by Newton's alternate law of stir.

It's possible to determine the necklace associated with the point of operation of a net force so that it maintains the movement of spurts of the object under the original system of forces.

Learn more about net force :

https://brainly.com/question/18881485

#SPJ4

The wavelength known as lambda max provides information on the energy level of incoming radiations that a substance absorbs during its excitation.

Wavelength provides information on the radiation's intensity upon entry. It is crucial to spectroscopy because certain compounds exhibit peaks that are unique to their substituent r groups.

To achieve the absorbance value of 2, you must absorb the most.

A = 2-log%T in the equation.

If your substance has a greater absorbance, dilute it accordingly to attain the highest absorbance possible.

To know more about the wavelength, here

https://brainly.com/question/10728818

#SPJ1

The velocity of the target ball after the collision is 2.4 m/sec.

We can use the conservation of momentum and the conservation of kinetic energy to solve this problem.

Let's define the following variables:

m1 = mass of incoming softball = 0.220 kg

u1 = initial velocity of incoming softball = 5.5 m/s

v1 = final velocity of incoming softball after collision = -3.1 m/s

m2 = mass of target ball

v2 = final velocity of target ball after collision

By the conservation of momentum, we have:

[tex]m_1 u_1 + 0 = m_1 v_1 + m_2 v_2[/tex]

Simplifying this equation, we get:

[tex]m_2 v_2 = m_1 * (u_1 - v_1)[/tex]

[tex]m_2 v_2 = 0.220 * (5.5 - (-3.9))[/tex]

[tex]m_2 v_2 = 0.220 * (5.5 +3.9))[/tex]

[tex]m_2 v_2 = 0.220 * (9.4)[/tex]

[tex]m_2 v_2 = 2.068[/tex] ..... eq(i)

The approach velocity is equal to the separation velocity, therefore,

[tex]u_1 - u_2 = v_2 -v_1[/tex]

[tex]5.5 = v_2 -(-3.1)[/tex]

[tex]5.5 = v_2 +3.1[/tex]

v2 = 2.4

Now, eq(i) becomes,

m2 * 2.4 = 2.068

m2 = 0.862

Read more about Collision:

https://brainly.com/question/13004146

#SPJ4

Answer:

Advantages

1) No power supply needed

2)Cling to vertical surfaces

3)No electrical contact problems

4)Inexpensive

Disadvantage

1)Direct field only

2)Deteriorate with wear

3)Have to be pulled from test surface

4)No control over field strength

Gas to liquid is the  phase change represents a decrease in entropy.

option B

The measurement of randomness or disorder in a system is known as entropy.

As for the order of entropy, The increase in disorder causes the entropy to rise when we transition from the solid state to the liquid state to the gaseous state. Entropy will decrease when we transition from a gaseous state to a liquid state and then a solid state because chaos is becoming less disorganized. Entropy rises for options 1, 3, and 4. whereas the entropy falls in option 2. Entropy is the measurement of the amount of thermal energy per unit of temperature in a system that cannot be used for productive labor. Entropy is also a measure of molecular disorder since work is produced by ordered molecular motion.

To know more about entropy on

https://brainly.com/question/864622

#SPJ4

The wavelength of the light can be calculated using the formula λ = 2d/N, where d is the mirror displacement and N is the number of fringes observed. Substituting the given values, the wavelength of the light is found to be approximately 635.2 nm.

A tool used to gauge light's wavelength is a Michelson interferometer. A beam splitter is used to divide a light beam into two pathways, which are then combined again to form an interference pattern. One of the beams' travel lengths is altered by the moveable mirror, which results in interference fringes moving. It is possible to determine the wavelength of the light by counting the number of fringes that shift, which is directly proportional to the change in path length. In this instance, the movable mirror's displacement and the quantity of fringe shifts are known, allowing us to use the formula: = 2d/N, where d is the mirror's displacement and N is the quantity of fringe shifts, to determine the wavelength of the light.

Learn more about displacement here:

https://brainly.com/question/11934397

#SPJ4

Studies of the frequency spectra of skilled speakers and classical singers, particularly male vocalists, reveal a distinct formant at about 3000 Hz (between 2800 and 3400 Hz) that is absent from speech or the spectra of untrained speakers or singers.

For men, the fundamental frequency of the complex speech tone, commonly referred to as the pitch or f0, falls between 100 and 120 Hz, though changes outside this range might happen. A little over an octave higher is the f0 for females.

If this is regarded as a closed cylinder, it would result in a fundamental frequency of approximately 500 Hz. In line with the measured frequencies, this would expect formant frequencies of 500, 1500, and 2500.

We have Vair = 331 m/s

L= 17 cm = 0.17 m

V = 965 m/s

a. first formant frequencies of the voice in the air is

[tex]F_air \frac{V_air}{4L} = \frac{331 \frac{m}{s}}{4\times 0.17m} = 486.76s^-1[/tex]

for second format

[tex]F_2air = (2n-1) F_1air[/tex]

[tex]= (4-1)\times 486.76= 1460.29 Hz[/tex]

b. by using the relation

[tex]F_1he= (\frac{v_he}{v_air})\times F_1air[/tex]

[tex]F_1he= (\frac{965}{331})\times 486.76[/tex]

[tex]F_1he = 1419.1 Hz[/tex]

[tex]F_2he = (\frac{965}{331})\times 1460.29 HZ[/tex]

[tex]F_2he = 4257.3[/tex]

Therefore, first formant frequencies is 1460.29Hz and second formant frequencies  is 4257.3

Learn more about frequencies here:

https://brainly.com/question/27414769

#SPJ4

The density of mercury at [tex]200^{\circ}C[/tex] is [tex]13122.35 kg/m^3[/tex].

It is given that,

The initial temperature, [tex]T_0=0^{\circ}C[/tex].

The density of mercury at [tex]0^{\circ}C[/tex] is [tex]\rho_{0}=13600 kg/m^3[/tex].

The volume expansion coefficient for mercury is [tex]\alpha_v=182\times10^{-6} (^{\circ}C^{-1})[/tex].

The final temperature, [tex]T=200^{\circ}C[/tex].

Let us assume that,

The initial volume of mercury is [tex]V_0[/tex] [tex]m^3[/tex].

The final volume of mercury is [tex]V[/tex] [tex]m^3[/tex].

The volume expansion formula is given as,

[tex](V-V_0)=V_0\alpha_v(T-T_0)[/tex]

[tex]\Rightarrow V=V_0+V_0\alpha_v(T-T_0)[/tex]

[tex]\Rightarrow V=V_0+V_0(182\times10^{-6})(200-0)[/tex]

[tex]\Rightarrow V=V_0+(0.0364)V_0[/tex]

[tex]\Rightarrow V=1.0364V_0[/tex]

The initial density, [tex]\rho_0=\frac{m}{V_0}=13600 kg/m^3[/tex].

Hence. the final density, [tex]\rho=\frac{m}{V}[/tex].

So, [tex]\frac{\rho}{\rho_0}=\frac{m/V}{m/V_0}[/tex]

[tex]\Rightarrow \frac{\rho}{13600}=\frac{V_0}{V}[/tex]

[tex]\Rightarrow \frac{\rho}{13600}=\frac{V_0}{1.0364V_0}[/tex]

[tex]\Rightarrow \rho=\frac{13600}{1.0364} kg/m^3[/tex]

[tex]\Rightarrow \rho=13122.35 kg/m^3[/tex]

Therefore, the density of mercury at [tex]200^{\circ}C[/tex] is [tex]13122.35 kg/m^3[/tex].

Learn more about thermal volume expansion here: https://brainly.com/question/16812680

#SPJ4

Answer:

20 meters

Explanation:

The initial velocity of the ball can be determined using the equation for kinetic energy:

K = (1/2)mv^2

100 J = (1/2) * 0.5 kg * v^2

So, v^2 = 200 J / 0.5 kg = 400 m^2/s^2

The velocity can be determined from the square root:

v = sqrt(400 m^2/s^2) = 20 m/s

Now we can use the velocity to determine the maximum height. The maximum height is reached when the velocity is zero, so we can use the formula for vertical motion under constant acceleration to find the time when this occurs:

v = v0 - gt

0 = 20 m/s - 10 m/s^2 * t

t = 2 s

We can use this time to find the maximum height:

h = v0 * t - (1/2)gt^2

h = 20 m/s * 2 s - (1/2) * 10 m/s^2 * 2 s^2

h = 40 m - 20 m

h = 20 m

So, the maximum height reached by the ball is 20 meters.

The range of distance before and behind the main focus distance is referred to as the depth of field.

The depth of field is determined by several factors, including aperture size, focal length, and distance to the subject. Generally, the depth of field is greater behind the main focus distance than in front of it. The distance before the main focus distance is referred to as the near focus limit, and the distance behind it is referred to as the far focus limit. The depth of field is an important consideration in photography and videography as it affects the sharpness and clarity of the final image or video. It can be adjusted by changing the aperture size, focal length, or distance to the subject. The range of distance before and behind the main focus distance is referred to as the depth of field.

Learn more about focal length :

https://brainly.com/question/29870264

#SPJ4

The adiabatic compression of an ideal gas by a well-insulated piston occurs in a well-insulated chamber.

Adiabatic compression is a process in thermodynamics where a gas is compressed without any heat exchange with the environment. This means that the energy within the system remains constant, and the compression process increases the temperature and pressure of the gas. The temperature increase is a result of the conversion of work into internal energy.

Adiabatic compression is commonly used in internal combustion engines, where a mixture of fuel and air is compressed before ignition. This process increases the temperature and pressure of the mixture, which results in a more powerful combustion reaction.

The adiabatic compression process is described by the adiabatic equation, which relates the pressure, volume, and temperature of a gas under adiabatic conditions. This equation is used to calculate the thermodynamic properties of gases undergoing adiabatic processes.

Learn more about Adiabatic compression here:

https://brainly.com/question/23936314

#SPJ4

The minimum average speed must the car have in the second half of the event in order to qualify is 266.6km/hr.

Given the average speed of a race car (v) = 250km/hr

The total length of track (s) = 1600m = 1.6km

The initial average speed of car up to first half (v1) = 230km/h

Overall race duration divided by total average speed equals the amount of time that car can spend on the entire race.

total time(t) = 1.6/250 = 0.0064hrs

Let the time taken for first half = t1

such that t1 = 0.8/230 = 0.0034hr

The time left for second half = t2 = t - t1

t2 =  0.0064hrs - 0.0034hr = 0.003hr

The average speed for the second half of track = v2

then v2 = 0.8/t2 = 0.8/0.003 = 266.6km/hr

To learn more about speed click here https://brainly.com/question/28224010

#SPJ4

The type of radioactivity that has a negative charge is beta rays.

Alpha rays consist of particles which have two protons and two neutrons identical to a positively charged helium nucleus. They get attracted towards the negatively charged plate as they possess a charge of +2. They have very high ionization power.

Beta radiation has a negative charge because it contains particles similar to an electron. It contains the same mass as an electron, and the mass is lower than proton and neutron masses. Also, each particle contains a single negative charge, making the radiation negatively charged.

To know more about radioactivity visit:-

https://brainly.com/question/14825851

#SPJ1

The work done by the spring on the object can be calculated by finding the area under the graph of the spring force versus the position of the object.

Graph is a type of data structure that consists of a set of nodes and edges connecting them. Each node represents an entity, such as a person or place, and each edge represents a relationship between two entities. Graphs are used to represent relationships between different types of data and can be used for tasks such as finding the shortest path between two points or determining if a set of objects is connected. Graphs are also used in machine learning algorithms and artificial intelligence applications, allowing them to process data more efficiently.

To learn more about graph

https://brainly.com/question/30524391

#SPJ1

The final momentum for x and y-direction is P(x) =  36 kg m/s, P(y) = 24 kg m/s.

Final velocity for x and y-direction is v(x)= 3 m/s, v(y) = 2 m/s.

Velocity of object B is v(b) = 3 m/s at 2 m/s.

The final momentum of the two objects can be calculated using the equation of momentum conservation:

P(final) = P(initial)

where P is momentum and the subscript "final" refers to the final momentum after the collision and "initial" refers to the initial momentum before the collision.

The final momentum in the x-direction is calculated as follows:

P(initial)_x = m₁ × v₁ + m₂ × v₂

P(initial)_x = 4 kg × 3 m/s + 6 kg × 4 m/s

P(initial)_x = 36 kg m/s

The final momentum in the y-direction is calculated as follows:

P(initial)_y = m₁ × v₁ + m₂ × v₂

P(initial)_y = 4 kg × 0 m/s + 6 kg × 4 m/s

P(initial)_y = 24 kg m/s

Since the collision is fully inelastic, the final momentum in both x and y direction will be equal to the initial momentum:

P(final)_x = 36 kg m/s

P(final)_y = 24 kg m/s

The final velocity can be calculated using the equation of momentum conservation:

v(final) = P(final) / (m₁ + m₂)

The final velocity in the x-direction is calculated as follows:

v(final)_x = P(final)_x / (m₁ + m₂)

v(final)_x = 36 kg m/s / (4 kg + 6 kg)

v(final)_x = 3 m/s

The final velocity in the y-direction is calculated as follows:

v(final)_y = P(final)_y / (m₁ + m₂)

v(final)_y = 24 kg m/s / (4 kg + 6 kg)

v(final)_y = 2 m/s

The velocity of object B can be calculated as follows:

v(b) = v(final)

v(b) = 3 m/s, 2 m/s at a direction angle.

Learn more on final momentum here: https://brainly.com/question/26485142

#SPJ1

If moving with a constant velocity, the position-time graph is a straight line with a constant slope.

What is a position time graph?

A position-time graph, also known as a displacement-time graph or distance-time graph, is a visual representation of the relationship between an object's position and time. In this type of graph, the position of an object is plotted on the vertical y-axis, while the time is plotted on the horizontal x-axis.

The position of the object at a specific time is shown by a point on the graph. Connecting these points results in a line that represents the object's motion over time. The slope of this line can provide information about the object's velocity or speed.

Position-time graphs are commonly used in physics to study the motion of objects, such as in the analysis of freefall, projectile motion, and uniform circular motion. By examining changes in position over time, scientists can calculate acceleration, displacement, and other important characteristics of an object's motion.

Therefore,If moving with a constant velocity, the position-time graph is a straight line with a constant slope.

To learn more about position time graph from the given link:

https://brainly.com/question/25225415

#SPJ1

If you are moving with an accelerating velocity in Activity 1-1, then your position-time graph will be curved instead of linear.

Velocity is a vector quantity that measures the rate of change of an object's position. It is the rate at which an object's position changes over time and is usually expressed in terms of meters per second. Velocity can be calculated by taking the displacement of an object divided by the time it took for that displacement to occur. Velocity can also be expressed in terms of speed and direction, as it has both magnitude and direction. Velocity can be further defined as the rate at which an object's momentum changes. Momentum is the product of an object's mass and its velocity. In addition, velocity is important for understanding the physics of motion, as it is related to acceleration, which is a measure of how quickly an object's velocity changes.

The curve will be increasing at a steeper and steeper rate, indicating that your velocity is increasing.

To learn more about velocity
https://brainly.com/question/29523095
#SPJ1