A massless string connects a 1.00 kg mass to a 3.00 kg cart which is resting on a frictionless horizontal surface. The mass hangs over a
frictionless pulley. When the mass is released, the cartaccelerates to the right
2.45 m/s2
4.90 m/s
9.80 m/s?
19.6 m/s

Answers

Answer 1

Both masses will have the same acceleration. The cart accelerates to the right with a magnitude of 4.9 m/[tex]s^{2}[/tex]. The correct answer is 4.90 m/[tex]s^{2}[/tex]

Given that a massless string connects a 1.00 kg mass to a 3.00 kg cart which is resting on a frictionless horizontal surface.

Let M = 1kg and m = 3 kg

Since the horizontal surface is frictionless, the tension in the string will be the same. when the mass is hanged over a frictionless pulley, the tension will also be the same.

When the mass is released, the cart accelerates to the right can be calculated  from Newton' second law of motion. That is,

M( g + a) = m(g - a)

1(9.8 + a) = 3( 9.8 - a)

9.8 +a = 29.4 - 3a

collect the like terms

4a = 19.6

a = 19.6/4

a = 4.9 m/[tex]s^{2}[/tex]

Therefore, the cart accelerates to the right with a magnitude of 4.9 m/[tex]s^{2}[/tex]. The correct answer is 4.90 m/[tex]s^{2}[/tex]

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Related Questions

Explain why pumice floats and why ironwood sinks

Answers

Answer:

A quick way of describing density is to describe an object as heavy or light for its size. Pumice stone, unlike regular rock, does not sink in water because it has a low density. An ironwood branch is very dense and sinks in water.

Hope that helps. x

Answer:

Pumice is trapped in gas when the temperature is warm, but as the temp drops, it becomes dense, due to air bubbles. Iron wood is denser than water, thus making it sink.

Explanation:

A roller coaster
produces acceleration due
to changes in both speed
and direction. Applying
Concepts Describe the
acceleration occuring at this
instant on the
rollercoaster ride.

Answers

Answer:

the answer is the rollar coster

Explanation:

because the rollar coster is

When dribbling a ball, the ______________ should control the direction and downward motion of the ball.

Answers

Answer:

gravity

Explanation:

keeps the ball down on the surface

When dribbling a ball, the gravity should control the direction and downward motion of the ball.

What is projectile motion?

When a particle is hurled obliquely near the surface of the earth, it travels along a curved path while accelerating continuously in the direction of the planet's centre (we assume the particle stays close to the surface of the globe). Such a particle's motion is known as projectile motion, and its route is referred to as a projectile.

Two distinct rectilinear motions occur simultaneously in a projectile motion:

Uniform velocity along the x-axis is what causes the particle to move horizontally (ahead).Uniform acceleration along the y-axis is what causes the particle to move vertically (downwards).

When a ball is sent into the air at a certain speed, the only force acting on it is the acceleration caused by gravity (g).

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The Sun has a mass of 1.99 x 10^30kg [^30 is an exponent] and is 1.5 x 10^11m [^11 is an exponent] from the earth. The planet Earth is 5.98 x 10^24kg [^24 is an exponent]. What is the gravitational attraction between the sun and the earth? G=6.67×10^-11 (-11 is an exponent)​

Answers

We are given –

Mass of earth,m = 5.98×10²⁴ kgMass of sun, M= 1.99×10³⁰ kgDistance between Earth and

Sun, r= 1.5×10¹¹ m

G = 6.67×10⁻¹¹ Nm²/kg²

We are asked to find the gravitational attraction between the sun and the earth.

By Universal Law of Gravitation, we know that –

[tex]\qquad[/tex] [tex]\pink{\twoheadrightarrow\sf F = \dfrac{GMm}{r²}}[/tex]

Substituting values, we get –

[tex]\qquad[/tex] [tex]\twoheadrightarrow\bf F = \dfrac{6.67×10^{-11}\times 5.98×10^{24}\times 1.99×10^{30}}{(1.5×10^{11})^2}[/tex]

[tex]\qquad[/tex] [tex]\twoheadrightarrow\bf F = \dfrac{6.67×10^{-11}×5.98×10^{24}×1.99×10^{30}}{2.25×10^{22}}[/tex]

[tex]\qquad[/tex] [tex]\twoheadrightarrow\bf F = 35.27×10^{21}[/tex]

[tex]\qquad[/tex] [tex]\pink{\twoheadrightarrow\bf F = 3.53×10^{22} N}[/tex]

Henceforth ,gravitational attraction between the sun and the earth. is 3.53×10²²N .

______________________________________________

Cart 1 has a mass of 1 kg. Cart 2 has a mass of 2 kg. They are pushed apart by a spring. The spring exerts 2N of force into cart 1. How much force is exerted into cart 2? Explain.

Answers

The force exerted on the cart 2 during the collision is 2 N.

The given parameters:

Mass of cart 1 = m1 = 1 kgMass of cart 2 = m2 = 2kgForce applied on cart 1 = 2 N

According to Newton's third law of motion, action and reaction are equal and opposite. The force exerted on cart 1 is equal in magnitude to the force exerted on cart 2 but in opposite direction.

[tex]F_1 = -F_2[/tex]

[tex]F_2 = -F_1\\\\F_2 = -2 \ N\\\\|F_2| = 2 \ N[/tex]

Thus, the force exerted on the cart 2 during the collision is 2 N.

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What is the gravitational force between two objects of masses 20kg and 50kg separated by a distance of
4m?

Answers

Answer:

4.16875×10^-9

Explanation:

given,

mass(M1)=20kg

mass(M2)= 50kg

distance(d)=4m

gravitational constant value (G)=6.67×10^-11

we know,

gravitational force=(Gm1m2)÷d^2

=(6.67×10^-11×20×50)÷4^2

=(6.67×10^-8)÷16

= 4.16875×10^-9

5. A ball is shot directly into the air vertically with an
initial velocity of 49.7 m/s. What is the velocity of the
ball after 3 seconds?
a. 3.4 m/s
b. 20.3 m/s
c. 12.4 m/s
d. 202.0 m/s

Answers

It’s definitely A trust

PLEASE HELP-I LITERALLY NEED THIS RIGHT NOW!!! I'LL GIVE BRAINLIEST AND 5 STARS!!!!!!!!!!!!!!!!
why has the number of islands in hawaii increased over the last 100 million years

Answers

Answer: oceanic crust moved over the hot spot, each recently formed volcano was carried away from the hot spot toward the northwest, cutting off its source of lava. Meanwhile, a new island was forming so that over time a chain of islands was produced extending away from the hot spot.ANSWER HERE: This mean that volcanos are producing these new islands and it is creating a chain of different islands all over Hawaii.

Answer:

Oceanic crust moved over the hot spot, each recently formed volcano was carried away from the hot spot toward the northwest, cutting off its source of lava. Meanwhile, a new island was forming so that over time a chain of islands was produced extending away from the hot spot.

which planet should punch travel to if his goal is to weigh in at 118 lb? refer to the table of planetary masses and radii given to determine your answer.

Answers

The planet that Punch should travel to in order to weigh 118 lb is Pentune.

The given parameters:Weight of Punch on Earth = 236 lbDesired weight = 118 lb

The mass of Punch will be constant in every planet;

[tex]W = mg\\\\m = \frac{W}{g}\\\\m = \frac{236}{g}[/tex]

The acceleration due to gravity of each planet with respect to Earth is calculated by using the following relationship;

[tex]F = mg = \frac{GmM}{R^2} \\\\g = \frac{GM}{R^2}[/tex]

where;

M is the mass of Earth = 5.972 x 10²⁴ kgR is the Radius of Earth = 6,371 km

For Planet Tehar;

[tex]g_T =\frac{G \times 2.1M}{(0.8R)^2} \\\\g_T = 3.28(\frac{GM}{R^2} )\\\\g_T = 3.28 g[/tex]

For planet Loput:

[tex]g_L =\frac{G \times 5.6M}{(1.7R)^2} \\\\g_L = 1.94(\frac{GM}{R^2} )\\\\g_L = 1.94g[/tex]

For planet Cremury:

[tex]g_C =\frac{G \times 0.36M}{(0.3R)^2} \\\\g_C = 4(\frac{GM}{R^2} )\\\\g_C = 4 g[/tex]

For Planet Suven:

[tex]g_s =\frac{G \times 12M}{(2.8R)^2} \\\\g_s = 1.53(\frac{GM}{R^2} )\\\\g_s = 1.53 g[/tex]

For Planet Pentune;

[tex]g_P =\frac{G \times 8.3 }{(4.1R)^2} \\\\g_P = 0.5(\frac{GM}{R^2} )\\\\g_P = 0.5 g[/tex]

For Planet Rams;

[tex]g_R =\frac{G \times 9.3M}{(4R)^2} \\\\g_R = 0.58(\frac{GM}{R^2} )\\\\g_R = 0.58 g[/tex]

The weight Punch on Each Planet at a constant mass is calculated as follows;

[tex]W = mg\\\\W_T = mg_T\\\\W_T = \frac{236}{g} \times 3.28g = 774.08 \ lb\\\\W_L = \frac{236}{g} \times 1.94g =457.84 \ lb\\\\ W_C = \frac{236}{g}\times 4g = 944 \ lb \\\\ W_S = \frac{236}{g} \times 1.53g = 361.08 \ lb\\\\W_P = \frac{236}{g} \times 0.5 g = 118 \ lb\\\\W_R = \frac{236}{g} \times 0.58 g = 136.88 \ lb[/tex]

Thus, the planet that Punch should travel to in order to weigh 118 lb is Pentune.

The complete question is below:

Which planet should Punch travel to if his goal is to weigh in at 118 lb? Refer to the table of planetary masses and radii given to determine your answer.

Punch Taut is a down-on-his-luck heavyweight boxer. One day, he steps on the bathroom scale and "weighs in" at 236 lb. Unhappy with his recent bouts, Punch decides to go to a different planet where he would weigh in at 118 lb so that he can compete with the bantamweights who are not allowed to exceed 118 lb. His plan is to travel to Xobing, a newly discovered star with a planetary system. Here is a table listing the planets in that system (find the image attached).

In the table, the mass and the radius of each planet are given in terms of the corresponding properties of the earth. For instance, Tehar has a mass equal to 2.1 earth masses and a radius equal to 0.80 earth radii.

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Record your observations. Include the data table you created for the lab and a graph based on the data table. Type your answer here:

Answers

To create a graph of the data you collected during the lab, first, organize the data, then select the best type of graph, and finally create the graph.

One of the steps you need to complete after an experiment is to graph your results. This implies organizing the data and creating a diagram to visually represent your findings.

These are the steps you can follow to complete this task:

Organize the data: The first thing you need to do is to understand what were the main factors for example if your experiment measured temperature changes this is the main factor you need to consider. Then try to organize this data in a chart so you can visualize it.Select the type of graph: There are different types of graphs such as:Bar graph.Pie chart.Scatter plot.Among others.

Each of these graphs focuses on specific types of data, and therefore you need to select the one that best fits the data you collected.

Create the graph: Finally, you can create the graph to do this, there are programs like excel that help you create the graph only by entering the data.

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The momentum of a system is conserved:

I. when no net external force act on the system

II. when no internal forces act on the system

III. always

Answers

Answer:

I. when no net external force act on the system

Explanation:

Suppose you are exerting an external force F on an object, it's velocity keeps increasing. Which means its momentum = velocity * mass is also increasing. In this case the initial momentum of that object is not preserved (but increased).

I think the answer is I.

two forces act concurrently on an object on a horizontal frictionless surface. their resultatn force has the largest magnitude when the angle between the forces is

Answers

Answer:

54

Explanation:4

4

4

Answer:

30d

Explanation:

30d

HELP!!!!
Which statement describes earthquakes?

They release energy.
They are caused by reduced stress in rocks.
They begin at the epicenter.
They result from movement on Earth’s surface.

Answers

Answer:

A

Explanation:

earthquakes release energy

Answer:

i think it begins at the epicenter

Explanation:

i can remember

pls give brainleist

I have two questions. I hope anyone can help me <3 Question 8 & Question 9. ​

Answers

Answer:

i have not study it till now

Explanation:

sorry i don't know

Please help me! I don't understand how to do this!

Part 1: A 6 kg shopping cart goes from a velocity of 0.9 m/s to a velocity of 6 m/s over the course of 2.0 seconds. What is the cart's acceleration?​

Part 2: What is the net force acting on the shopping cart during that time? You will need your answer from the previous part.

Answers

From the information in the question, the acceleration of the cart is 2.55 ms-2.

We can find the acceleration using the following information from the question;

u = 0.9 m/s

v = 6 m/s

a =  2.0 seconds

But;

a = v - u/t

v = final velocity

u = initial velocity

t = time

a = 6 - 0.9/2 = 2.55 ms-2

Force= ma

m = mass

a = acceleration

F = 6 kg × 2.55 ms-2

F = 15.3 N

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what is q if 28.6 g of water is heated from 22.0°c to 78.3°c? the specific heat of water is 4.184 j/g·°c.

Answers

Answer:

6736 J

Explanation:

Knowing that Q = cmΔT:

Q = 4.184 J/(g·°C) · 28.6g · (78.3 °C - 22.0 °C) = 6736 J.

Hi sweeties.. I want 5 solving questions about (Fluid Pressure and Temperature) and (Archimedes' Principle) may u help me?!​

Answers

Answer:

1) A 1L bottle, with a height of 30cm, full of water is emptied. The bottle is filled with oil (density = 920 kg/m^3). Calculate the change in pressure of the bottom of the first bottle. If you decide to put potatoes (assume its density is  1,8 kg/m^3), each one of a volume V = 10 cm^3, will they float?

2) The fusion temperature of the Nitrogen is -210°C and its boiling temperature is 77K. Calculate the difference between the fusion temperature and the boiling temperature.

how to calculate velocity with acceleration and time

Answers

Answer:

Multiply the acceleration by time to obtain the velocity change:

Example:

Velocity change = 6.95 * 4 = 27.8 m/s . Since the initial velocity was zero, the final velocity is equal to the change of speed. You can convert units to km/h by multiplying the result by 3.6: 27.8 * 3.6 ≈ 100 km/h

is it possible for an object moving around a circular path to have both centripetal and tangential acceleration?

Answers

Answer:

A major difference between tangential acceleration and centripetal acceleration is their direction. Centripetal means “center seeking”. ... Tangential acceleration results from the change in magnitude of the tangential velocity of an object. An object can move in a circle and not have any tangential acceleration.

The direction of acceleration is a key distinction between tangential acceleration and centripetal acceleration. Centripetal is defined as "center-seeking." The amount of an object's tangential velocity changes, which causes tangential acceleration. Without experiencing any tangential acceleration, an item can move in a circle.

What is Acceleration?

Acceleration is the rate at which the speed and orientation of a moving object change over time. When a spot or object moves faster or slower along a straight line, it is said to be accelerated. Even though the speed is constant, motion on a circle accelerates so because the direction is always shifting. Both by and to acceleration for all other types of motion.

It is a vector quantity because it has both magnitude and direction.

Any object's rotation experiences tangential acceleration, which is the speed at which the tangential velocity fluctuates. When an object is moving, it behaves in a tangential direction. An object moving in a circle will also experience the very same tangential velocity action.

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What does 'has no fixed volume' mean??

Answers

Answer:

the volume changes overtime

sometimes because of weather, temperature ...

Explanation:

A wave has frequency of 5 Hz and a speed of 25 m/s. What is the wavelength of the wave?
I need the Formula,Known,Substitute & Solve Answer with Units

Answers

Answer:

This is the answer that I got.

Explanation:

Just check over it once.

a 74 kg man jumps from a window 1.6 m above a sidewalk. the acceleration of gravity is 9.81 m/s 2 . a) what is his speed just before his feet strike the pavement? answer in units of m/s

Answers

Answer:

  5.60 m/s

Explanation:

His initial potential energy is equal to his final kinetic energy.

  mgh = 1/2mv^2

  2gh = v^2 . . . . . . . multiply by 2/m

  v = √(2gh) = √(2(9.81 m/s²)(1.6 m)) = √(31.392 m²/s²)

  v ≈ 5.60 m/s

_____

Additional comment

The mass is irrelevant in the equations we typically use for this purpose.

How did the Agricultural Revolution impact humans? In your opinion, were those changes good or bad? Why?

Answers

Answer:

The Agricultural Revolution of the 18th century paved the way for the Industrial Revolution in Britain. New farming techniques and improved livestock breeding led to amplified food production. This allowed a spike in population and increased health. The new farming techniques also led to an enclosure movement

What would happen to a 100N gravitational force if both masses were doubled and the radius were
doubled

Answers

The force winds up unchanged, at 100 N.

Which statement describes ionic compounds?

A) ionic compounds are positively charged
B) ionic compounds are neutral
C) ionic compounds are negatively charged

Answers

Answer:the answer is b

Explanation:

This is because in an ionic bond negative and positive bonds are present

how to determine my slope in physics graph​

Answers

Answer:

Determine the coordinates of two points on the line. Calculate the difference between these two locations' y-coordinates (rise). Calculate the x-coordinate difference between these two places (run). Divide the y-coordinate difference by the x-coordinate difference (rise/run or slope).

jamal is playing with magnetic toy vehicles. He has two identical magnetic vehicles (purple and green) on different sides of a center magnet that cannot move. His friend Simone challenges him to move one vehicle one space to the left or the right in order to get the largest increase in potential energy. That means Jamal can move the purple car to point A or point B, or he can move the green car to point C or point D. Explain which movement Jamal should make (which car and which point), and why that movement will result in the largest increase in potential energy. Describe the magnetic force that will act on the vehicle he moves.

Answers

Answer:

Since potential energy increases with increase in the separation distance, Jamal should move the toy car that will create the largest separation distance.  The magnetic force that will act on the vehicles as he moves the cars away from each other will decrease because magnetic force is inversely proportional to the separating distance between the cars.

Explanation:

Since potential energy increases with increase in the separation distance, Jamal should move the toy car that will create the largest separation distance.The magnetic force that will act on the vehicles as he moves the cars away from each other will decrease because magnetic force is inversely proportional to the separating distance between the cars.

Given that 1 pound is equal to 4.45 newton’s what is the weight of a 500N child in pounds?

Answers

Answer:

112.36 pounds

Explanation:

Since 1 pound = 4.45 Newtons, a 500N child in pounds = 500÷4.45 = 112.36 pounds (approximately).

What is the force applied to a baseball that has a mass of 142kg and has a acceleration of 30m/s to the power of 2

Answers

Mass=m=142kgAcceleration=a=30m/sForce=F

Using Newton's second law

[tex]\\ \sf\Rrightarrow F=ma[/tex]

[tex]\\ \sf\Rrightarrow F=142(30)[/tex]

[tex]\\ \sf\Rrightarrow F=4260N[/tex]

Which of the following rivers flows north in eastern Florida?

St. James
St. Johns
Mississippi
Hudson

Answers

St. John’s

_________

o0o0o0o0o0

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a web server is a computer that manages files for multiple user on a net work. true or false Find the value of x needed to make the equation true: -8.25x+12-1.75x=10.5x+1.75 8 . 25 x + 12 1 . 75 x = 10 . 5 x + 1 . 75 Please write your answer as a decimalplz help no links real answers is change in color a physical change associative property or commutative property, or identity property or zero property Read the excerpt from The Building of Manhattan.A temporary, small narrow-gauge track system was installed on each floor as it was needed. This enabled the material to be moved from the truck at ground level onto dump carts, raised by elevator to the designated floor, wheeled onto the track, and moved quickly to the exact spot needed. Turntables built into the track allowed the carts to be shifted about in any direction.Which question can be answered only if an illustration accompanies the text?What did turntables built into the track allow?How were dump carts raised to designated floors?When was a track system installed on a floor?What does a turntable built into a track loo PLZZZ HELP, BEST ANSWER GETS BRANLIEST AND ITS DUE IN 5 MINUTESSS, The figure shows two triangles on the coordinate grid:Which of the following statements is true about the three quadrilaterals? (5 points)A and B are similar but not congruent.A and C are similar but not congruent.A and B are similar and also congruent.B and C are similar and also congruent. A mis amigas _____ _____________ los Takis. (gustar) will mark brainleist Fill in the blanks to solve this equation coffee milk is the official drink of what new england state? Prove that the equation x^2+px-1=0 for every p has two different solutions write a letter to your uncle who has sent you a laptop as a birthday gift ? Calculate the following examples. 1. Ramji conducted an experiment in the field related to the rate of percolation. He observed that it took 30 minutes for 600 ml of water to percolate through the soil. Calculate the rate of percolation per hour. 2. Jigna takes 50g of dry powdered soil in a filter paper and slowly adds water to the soil from a 100 ml fully filled measuring cylinder. When water starts dripping from the filter paper, 60 ml of water is left in the measuring cylinder. Find out the percentage of water absorbed by the soil. Why did New Mexico's economy suffer as the Cold War declined?A. Cold War industries slowed production.B. More former soldiers started working in other states.c. The decline of the Cold War increased reliance on nuclearweapons.D. More soldiers were returning from Cold War conflicts. A post office has three hundred forty-one pieces of junk mail they want to spit evenly between thirty mail trucks. How many extra pieces of junk mail will they have if they give each truck the same amout. which statements accurately reflect the permeability of the cell membrane? choose all that apply What are The electrons that are lost gained, or shared in chemical bonds Remove the roller bearing fastened to the shaft:A. Dumplings in bearings.B. Close the ring in the bearing or the ring in the bearing.C. Close the ring in the bearing.D. Roll out the outer ring of the bearing. plzzzzzzzz helppppThe half-life of a radioactive isotope is 2.4 minutes. If you started with 100.0 grams, how many grams would be left after 7.2 minutes has elapsed? Explain how you arrived at your answer. how many solutions are there for 2x5=8x+76x