A car has a mass of 900 kg and a truck has a mass of 1800 kg. In which of the following situations would they have the same momentum?


The car travels at twice the velocity of the truck.

The car and truck travel at the same velocity.

The truck has a negative acceleration.

The car has a positive acceleration.

As we have formula for mass spring system

F= kx           ( where k is spring constant , x is displacement , F is the force acting due to load)

To find =x

So  x=F/k

x= (4N) / (5N/m)

x= 0.8 m

As per Coulomb's law of force we can say

[tex]F = \frac{kq_1q_2}{r^2}[/tex]

here we can say

[tex]q_1,q_2[/tex]= magnitude of two charges

r = distance between two charges

so here we can say that force between two charges depends on

(i)product of charge of two point charges

(ii)distance between the two point charges

so here if we increase the distance force will decrease and vice versa.

So correct statement for the electrostatic force is given as

D. The electric force varies with the distance between the charges. The closer they are, the stronger the force. The farther apart they are, the weaker the force.

Answer:

D

Explanation:

as you add more toppings the prices goes up.

Well the amount of toppings steadily increases with the cost of the pizza because at $12(I’m pretty sure it’s $12) u r at 0 on he toppings but at $14 u get 1 ,$16 u get 2,$18 u get 3, $20 u get 4, $22 u get 5, $24 u get 6,and so n and so on so u can see it cost $2 extra for each toppings and u base price ( original price for a the pizza with no toppings) is $12

core, surface atmosphere

Seema would need the acceleration due to gravity and the height the ball reaches to find the potential energy. The formula used is mgh, where m is mass, g is acceleration due to gravity and h is the height above the reference point.

To find the ball’s potential energy, Seema would need to know the acceleration due to gravity and the height the ball reaches. The formula for gravitational potential energy is mgh, where m is mass, g is the acceleration due to gravity, and h is the height above the reference point.

For example, if Seema is holding the ball, say, 1.7 meters above the ground and the ball has a mass of 0.5 kg, the gravitational potential energy (GPE) when she is about to shoot it can be calculated using the acceleration due to gravity (approximated as 9.8 m/s² on Earth), the height above the ground (1.7m + 0.5m for the ball height), hence:

GPE = mass (0.5 kg) × gravity (9.8 m/s²) × height (2.2 meters) = 10.78 Joules.

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B) a velocity is the answer

Before answering this question,first we have to understand a vector.

A vector quantity is a physical quantity which has not only magnitude but also direction for it's complete specifications.It is also in accordance with the paraellogram law of vector addition.

As per the question the object is moving at 10 m/s due north.The magnitude of this quantity is 10 m/s.The direction of the quantity is towrds north.Hence the quantity given in the question has magnitude as well as direction.

As the quantity given here refers to the distance travelled per unit time, the quantity will be either speed or velocity.The quantity can not be considered as speed .It is because speed in a given direction is called velocity.

Hence the quantity is velocity .

The correct option is B.

speed  Δv     =  v₂ =  8.15ms⁻¹

                     v₁ = 0ms⁻¹

time  =t = 5s

acceleration  =  a = speed / time taken

                          a =    Δv / Δt           ( as Δv = v₂ - v₁)

                          a  =   8.15ms⁻¹  /  5 s

                            a  = 1.6ms⁻²

22.  The free body diagram would not apply to the woman jumping off the floor as she would not be experiencing any normal force as she is airborne.

23.  For the box to be moving with constant speed, it would mean that there is no acceleration.  That also means that there would be no net force in the axis that the box is being pushed in.  So the applied force, F, would have to equal the frictional force f.

24.  First determine the weight of the sphere due to gravity:

F = ma

F = (175)(-9.8)

F = -1715N

Now, assuming the tension is from the top of the chain (because it's the only logical reason I can deduce as why the mass of the chain was given), you would have to find the weight of the chain due to gravity as well:

F = ma

F = (12)(-9.8)

F = -118N

The chain has to not only support the weight of the sphere, but also the weight of the chain itself, so the tension force is equal to the sum of the weights of both the sphere and the chain.

(1715)+(118) = 1833N  (Value is positive because tension acts in the direction opposite to the force it is withstanding)

There are three laws which are postulated by Kepler for planetary motion.

Kepler's first law: As per the first law of Kepler,the orbits of planets around the sun is elliptical in nature in stead of circular. The sun is situated always at one of its foci.

Second law: Planets are moving in such a way that the areal velocity of the planets are constant i.e planets sweep out equal ares in equal interval of time.

Third law: The square of time period of planets around the sun is directly proportional to the cube of semi major axis.

       [tex]Mathematically\ T^{2} \alpha\ R^{3}[/tex]

where T is the time period and R is semi major axis.

Hence the correct answer to the question is C i.e third,first,second.

Explanation :

Kepler gives three laws of planetary motion :

First law :

First law is also known as the law of orbits. It states that all planets revolve in an elliptical orbit. The sun is present at one of its foci.

Second law :

Second law is also known as the law of areas. It states that draw a hypothetical line from the midpoint of the sun to the midpoint of the planet. This will sweep out the same areas in identical interval of time.

Third law :

This is also known as the law of periods. It states that the square of the orbital time period (T) is directly proportional to the cube of semi-major axis (a).

i.e. [tex]T^2\propto a^3[/tex]

So, Correct labeling is :

W: Third law

X: First law

Y: Second law

Hence, the correct option is (C).

Since for closed system moles of the gas is always conserved

so as per idea gas equation we can say

[tex]n = \frac{PV}{RT}[/tex]

so here we can say

[tex]n_1 = n_2[/tex]

so here we have

[tex]\frac{P_1V_1}{RT_1} = \frac{P_2V_2}{RT_2}[/tex]

as we know that

[tex]T_1 = 263 K[/tex]

[tex]T_2 = 298 K[/tex]

[tex]V_1 = 24 L[/tex]

[tex]V_2 = 35 L[/tex]

[tex]P_1 = 1 atm[/tex]

now from above equation

[tex]\frac{1*24}{263} = \frac{P*35}{298}[/tex]

on solving above equation we have

[tex]P = 0.78 atm[/tex]

so here pressure will be 0.78 atm

Based on the combined form of the ideal gas law, the final pressure of the gas, given the changes in volume and temperature, would be approximately 0.725 atm.

The question concerns the change in conditions of a gas and asks you to determine the final pressure. This deals with the combined form of the ideal gas law, which states that the product of the initial pressure and volume, divided by the initial temperature, equals the product of the final pressure and volume, divided by the final temperature (P₁V₁/T₁ = P₂V₂/T₂).

Given that the initial pressure P₁ is 1 atm, initial volume V₁ is 24 L, initial temperature T₁ is 263 K, final volume V₂ is 35 L, and final temperature T₂ is 298 K, we can substitute these values into the equation to solve for the final pressure P₂.

Therefore, P₂ = P₁V₁T₂ / V₂T₁ = (1 atm × 24 L × 298 K) / (35 L × 263 K) ≈ 0.725 atm. So, the final pressure of the gas would be approximately 0.725 atm.

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In order to find the efficiency first we will find the Change in Potential energy of the small stone that robot picked up

First we will find the mass of the stone

As it is given that stone is spherical in shape so first we will find its volume

[tex]V = \frac{4}{3}\pi r^3[/tex]

[tex]V = \frac{4}{3}\pi *(\frac{0.06}{2})^3[/tex]

[tex]V = 1.13 * 10^{-4} m^3[/tex]

Now it is given that it's specific gravity is 10.8

So density of rock is

[tex]\rho = 10.8 * 10^3 kg/m^3[/tex]

mass of the stone will be

[tex]m = \rho V[/tex]

[tex]m = 10.8* 10^3 * 1.13 * 10^{-4}[/tex]

[tex]m = 1.22 kg[/tex]

now change in potential energy is given as

[tex]\Delta U = mgH[/tex]

here

g = gravity on planet = 0.278 m/s^2

H = height lifted upwards = 15 cm

[tex]\Delta U = 1.22* 0.278 * 0.15[/tex]

[tex]\Delta U = 0.051 J[/tex]

Now energy supplied by internal circuit of robot is given by

[tex]E = Vit[/tex]

V = voltage supplied = 10 V

i = current = 1.83 mA

t = time = 12 s

[tex]E = 10* 1.83 * 10^{-3} * 12[/tex]

[tex]E = 0.22 J[/tex]

Now efficiency is defined as the ratio of output work with given amount of energy used

[tex] \eta = \frac{\Delta U}{E}*100[/tex]

[tex]\eta = \frac{0.051}{0.22} = 0.23[/tex]

so efficiency will be 23 %

But rocks are not unchangeable! Just like the water cycle, rocks undergo changes of form in a rock cycle. A metamorphic rock can become an igneous rock, or a sedimentary rock can become a metamorphic one. Unlike the water cycle, you can’t see the process happening on a day-to-day basis. Rocks change very slowly under normal conditions, but sometimes catastrophic events like a volcanic eruption or a flood can speed up the process. So what are the three types of rocks, and how do they change into each other? Keep reading to find out!

Just like the water cycle, rocks undergo changes of form in a rock cycle. A metamorphic rock can become an igneous rock, or a sedimentary rock can become a metamorphic one. Unlike the water cycle, you can’t see the process happening on a day-to-day basis. Rocks change very slowly under normal conditions, but sometimes catastrophic events like a volcanic eruption or a flood can speed up the process. So what are the three types of rocks, and how do they change into each other? Keep reading to find out!

Answer:

Steps in the order they should occur:

Explanation:

This question is addressed to reflect on the scientific method, and so it deals with the logical steps that are followed regularly in such process.

It is the observation of a natural phenomenum what sparks the whole process. In this case, the student observes that there are acidic foods.

After such observation, some minds, the curious minds, start to ask questions: why?, how?, when?, what happens if? Numerous questions might arise, it is the curiosity attitude, that accompanies the scientific mind. So, the student asks a question about food’s acidity.

The trained scientist then elaborate a hypothesis : a logical tentative prediction which relates a thesis and a conclusion, in the form if _________ then ________, addresed to answer the question. This hypotheisis must be testable, so it must contains objective variables, which can be verified through an experiment by measurements that can be replicated by any one. So, at this point fhe student creates a hypothesis about the acidity.

The next steps are:

In ORDER:

5,2,1,6,4,3

There is a forumula you can use ill give you the formula

acceleration=change in velocity / time taken

acceleration=final velocity subtract(-)initial velocity/ time taken

a=vf-vi/t

since Romeo throw the pebble from the ground at a position 9.8 m below the window and at horizontal distance of L = 9.7 m

It is given that he throw the pebble such that it hit the window only with horizontal speed.

So here vertical speed of the pebble will become zero as it hit the window

[tex]v_f^2 - v_i^2 = 2 a h[/tex]

so here we know that in y direction

[tex]v_f = 0[/tex]

[tex]a = - 9.8 m/s^2[/tex]

[tex]h = 9.8 m[/tex]

now we will plug in all values

[tex]0 - v_i^2 = 2*(-9.8)(9.8)[/tex]

[tex]v_i = 13.8 m/s[/tex]

also the time taken by the pebble to reach the window is given by another equation

[tex]v_f = v_i + at[/tex]

[tex]0 = 13.8 - 9.8*t[/tex]

[tex]t = 1.41 s[/tex]

now in the same time if stone reached the horizontal distance of L = 9.7 m so we can find its horizontal speed as

[tex]v_x = \frac{L}{t}[/tex]

[tex]v_x = \frac{9.7}{1.41}[/tex]

[tex]v_x = 6.9 m/s[/tex]

so the speed of the pebble will be 6.9 m/s when it will hit the window

Final answer:

To find the pebbles' impact velocity at Juliet's window, we used the time to fall the height of 9.8 meters to calculate the necessary horizontal velocity. The calculated horizontal impact velocity is 6.9 m/s.

Explanation:

Calculating Pebble's Velocity at Juliet's Window

To find the horizontal velocity with which Romeo's pebbles hit Juliet's window, we need to consider the pebbles' horizontal displacement (L) and vertical displacement (h). Since there is no acceleration horizontally, the horizontal component of velocity will remain constant throughout the motion. However, vertical motion is influenced by gravity, with a downward acceleration of 9.8 m/s2 (the value of gravitational acceleration).

We first calculate the time (t) it takes for the pebble to fall 9.8 meters using the equation for vertical motion:

1/2 × g × t2 = h

Substituting g = 9.8 m/s2 and h = 9.8 m, we find: 1/2 × 9.8 m/s2 × t2 = 9.8 m thus, t2 = 2 and t = √2 ≈ 1.41 s

Using the time it takes to reach Juliet's window, we can calculate the horizontal velocity (vx) needed: vx = L / t

Substituting L = 9.7 m and t ≈ 1.41 s, we get: vx = 9.7 m / 1.41 s ≈ 6.88 m/s

To two significant figures, the horizontal velocity with which the pebbles hit Juliet's window is 6.9 m/s.

Answer:

The answer is 24.2 N.

Explanation:

Y- component = 10 N + 15 cos (30) = 23 N (North)

X - component = 15 N - 15 sin (30) = 7.5 N (west)

As, East, west and North are opposite direction so minus,

Magnitude = √ 23² + 7.5²

                  = 24.2 N.

The magnitude of the resultant force is 22.99 N.

The given forces are:

A force of 10 N north

A force of 15 N west

A force of 15 N 30 degrees east of north

The first two forces can be represented by vectors  

A and   as follows:

[tex]$\vec{A} = 10 \hat{\imath}$\\$\vec{B} = -15 \hat{\jmath}$[/tex]

The third force can be decomposed into its components as follows:

[tex]$\vec{C} = 15 \cos{30^\circ} \hat{\imath} + 15 \sin{30^\circ} \hat{\jmath}$\\= 12.5 \hat{\imath} + 7.5 \hat{\jmath}$[/tex]

The resultant force  

R is the sum of the three forces:

[tex]\vec{R} = \vec{A} + \vec{B} + \vec{C}\\= 10 \hat{\imath} - 15 \hat{\jmath} + 12.5 \hat{\imath} + 7.5 \hat{\jmath}\\= 22.5 \hat{\imath} - 7.5 \hat{\jmath}[/tex]

The magnitude of  

R is:

[tex]\| \vec{R} \| = \sqrt{(22.5)^2 + (-7.5)^2}[/tex]

= \sqrt{510.25}

= 22.99 N

Therefore, the magnitude of the resultant force is 22.99 N.

Read more about magnitude here:

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Acceleration is a change in speed, so if the car has a constant speed then it's acceleration is 0m/s^2.

Since the car is moving at a constant speed, there's no change in velocity, therefore, the acceleration is 0 m/s^2.

The acceleration of an object is a measure of how quickly its velocity changes. In the question provided, the car is moving at a constant speed for a certain amount of time, indicating that there is no change in velocity.

As acceleration is the rate of change of velocity with time, if there is no change in velocity, it follows that the acceleration is zero. Hence, the acceleration of the car, in units of m/s2, would be 0 m/s2.

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Final answer:

The speed of the walking person is approximately 0.833 m/s.

Explanation:

The speed of a walking person can be calculated by dividing the distance traveled by the time taken. In this case, the person travels 1000 meters in 20 minutes.

To convert minutes to seconds, we multiply by 60. So, 20 minutes is equal to 20 x 60 = 1200 seconds.

Now, we can calculate the speed using the formula:

Speed = Distance ÷ Time

Speed = 1000 m ÷ 1200 s

Dividing 1000 by 1200 gives us a speed of approximately 0.833 m/s.

Vox = ?

Voy = 0 m/s

g = 9.8 m/s

s = 61.7 m

h = 42.4 m

(1)-----------------------------------...

To find the time taken for the ball to travel to the bottom:

For constant acceleration,

s = Voy*t + 0.5*g*t^2

42.4 = 0 + 0.5(9.8)*t^2

t^2 = 42.4 / 4.9

t^2 = 8.6531

t = 2.9417s

(2)-----------------------------------...

For the intial velocity of the horizontal component (Vox) of the ball:

s = Vox*t + 0.5*a*t^2

There is no force acting on the horizontal component, so there is no acceleration.

s = Vox*t

61.7 = 2.9417*Vox

Vox = 181.5029 m/s

(3)-----------------------------------...

Since there is no acceleration acting on the horizontal component, x, it remains constant throughout.

Hence, it is still 181.5029 m/s.

For the final velocity of the vertical component (Vfy) of the ball:

(Vfy)^2 = (Voy)^2 + 2*a*h

Acceleration in this case is the force of gravity.

(Vfy)^2 = 0 + 2*(9.8)*(42.4)

(Vfy)^2 = 831.04

Vfy = 28.8278 m/s

I've clearly explained every step. Hope that answers your question! =D

Answer:

the speed of the ball just before it will be equal to 41.75 m/s

Explanation:

data provided:

h = height of building = 89 m

L = horizontal distance = 80 m

The speed of the ball at maximum height is assumed to be equal to zero. If we use the equation of motion we have:

s = u*t + (a*t^2)/2, where s = distance; u = initial velocity; a = gravity acceleration; t = time

replacing values and clearing t:

t = ((89*2)/9.8)^1/2 = 4.26 s

the speed will be equal to:

vy = uy + a*t = g*t = 9.8*4.26 = 41.75 m/s

The correct sequence of the energy conversion in a car's engine is A) chemical to thermal to mechanical.

EXPLANATION:

A car has a internal combustion engine. The function of the internal combustion engine is that it converts the stored chemical energy in fuels like petrol or diesel into thermal energy.

The thermal energy produced by the combustion engine will be transformed into mechanical energy. The mechanical energy will perform work on the piston for which the vehicle will be accelerated.

Hence, the correct order will be chemical to thermal to mechanical.

Answer:

The answer is a

Explanation:

The 150 scale if my calculations are correct

The correct diagram would be A) W

Answer: The correct answer is option A.

Explanation:

When two like charges come closer to each other they will repel each other.

When two unlike charges come closer to each other they will attract.

[tex]q_1=+2\mu C,q_2=+3\mu C[/tex]

Force on [tex]q_1[/tex] due to [tex]q_2[/tex]:

[tex]F_{12}=k\frac{q_1\times q_2}{r^2}[/tex]

Force on [tex]q_2[/tex] due to [tex]q_3[/tex]:

[tex]F_{21}=k\frac{q_2\times q_1}{r^2}[/tex]

[tex]F_{12}=F_{21}[/tex]

Therefore, equal force is exerting on both the charges. The diagram drawn by Raina marked "W" is correct. Hence the correct option is (A).

Answer:

D) Centripetal force.

Explanation:

A centripetal force is the force which is made up of two Latin words centrum which means center and the petere which means to seek.

It is defined a force which make a body to follow a curved path.

The direction of this force is always orthogonal to the body's motion and it is always towards the fixed point which is instantaneous center of the path's curvature.

Answer:

Aggregate

Explanation:

Correct answer for Intro to Sociology

Answer:

Kinetic energy

Explanation:

Electrons flowing along a copper wire. While flowing electrons are moving from one position to another position. So, Electrons flowing along a copper wire is an example of kinetic energy .

Kinetic energy is the energy possessed by the moving body. Hence electrons are flowing in a wire is an example of kinetic energy.

Answer:

In microscopic way we can say it is Kinetic Energy of electrons or in other words the rate of flow of charge is electric current so it is also known as electrical energy

Explanation:

As we know that electrons are flowing along the length of conductor so here total energy of all the electrons is sum of kinetic energy of electrons.

Here we can say that rate of flow of charge is known as electric current so here the we can say

[tex]i = \frac{dq}{dt}[/tex]

so here net flow rate of charge will give us electric current due to which energy associated with it is given as

[tex]E = i^2Rt[/tex]

so here energy due to flow of charge is either sum of kinetic energy of all electrons or it is electrical energy.

Answer:

96

Explanation:

-- Energy from the sun was absorbed by grass, grain, and hops, making it possible for them to grow.

-- The grass was eaten by livestock, and turned into stored beef energy.

-- The grain was harvested, pounded into flour, baked, and turned into stored bread energy.

-- The hops were harvested, soaked, and turned into stored beer energy.

-- Johannes Brahms ate beef, which his body turned into brain and muscle energy.  Ludwig van Beethoven drank beer, which his body turned into energy and inspiration.  John Phillip Sousa ate bread, which his body turned into leg energy to march with.

-- All of these individuals, and a lot of others, composed music which nobody had ever heard before, using the solar energy they absorbed from the stuff that they ate and drank.

Music is created through the transformation of energy, initially sourced from the Sun, which facilitates the growth of materials for instruments and provides the dynamics of the Earth's atmosphere that may inspire composition.

Music involves a complex interplay of energy transformations. When the Sun shines on Earth, it energizes various elements of our planet, such as sand and water, which in turn affect the atmospheric system and contribute to phenomena like the sea breeze. This is a simple analogy of how energy flows and changes forms, which is a foundational concept in music creation.

The energy from the Sun can also be seen as initiating a sequence of events that leads to the production of music. For instance, solar energy is crucial for the growth of materials like wood, which are used to make stringed instruments. When played, these instruments convert mechanical energy of vibration into sound energy, which we perceive as music. Even the energy and inspiration derived by musicians to compose and play their instruments can be traced back to the Sun, as it sustains life on Earth and stimulates the sensory experiences that influence creativity.

Consequently, exploring the mass-energy relationship as proposed by Einstein involves understanding the conversion of mass into energy, similar to how the energy of a vibrating guitar string is converted into audible sound. This concept also applies to the environmental temporality and interrelated energy fluctuations that inspire certain musical compositions, reflecting the intricate bonds between our environment, energy, and the music we create.

The correct answer to the question is : Friction.

EXPLANATION:

Before answering this question, first we have to understand the process of charging a body by friction.

There are generally three modes of charging a body which are known as friction, induction and conduction respectively.

Friction: Friction is the mode of charging a body by direct contact through rubbing with another substance.

In this process, a low electron affinity substance is rubbed with a high electron affinity substance. The low electron affinity substance will lose electron, and acquires positive charge.

On the other hand, the high electron affinity substance will gain electrons, and gets negatively charged .

Hence, there is actual transfer of electrons from one body to another body in the process of charging a body through friction.

As per the question,the glass rod is rubbed with silk. Due this rubbing,static electricity will be developed on the glass rod and silk.

Hence, it is obvious that the glass rod gains static charge due to the process of friction.

Answer:

The correct answer is most likely b) friction

Explanation: