as shown in the figure, a 10-kg block on a perfectly smooth horizontal table is connected by a horizontal string to a 63-kg block that is hanging over the edge of the table. what is the magnitude of the acceleration of the 10-kg block when the other block is gently released?

Answers

Answer 1

Newton's second law allows to find the acceleration of the two-body system, where a mass is hanging is:

The acceleration of the system is: a = 8.46 m / s²

Newton's second law states that the net force on a body is equal to the product of the mass and the acceleration.

         ∑ F = m a

Where the bold letters indicate vectors, F is the force, m the mass and the acceleration of the body.

A free body diagram is that diagram of the system where the forces are shown without the details of the bodies. In the attachment we have a free-body diagram of the system.

Let's write Newton's second law for each axis.

x- axis

        T = m₁ a

y-axis

body in the horizontal part

        N-W₁ = 0

       N = W₁

Body hanging.  

         W₂ - T = m₂ a

Wwhere the positive direction is down, let's write our system of equations.

         

                T = m₁ a  

         W₂-T = m₂ a

Let's Resolve.

          m₂ g = (m₁ + m₂) a

          a = [tex]\frac{m_2}{m_1+m_2} \ g[/tex]  

Let's calculate.

         a =[tex]\frac{63}{10+63} \ 9.8[/tex]  

         a = 8.46 m / s²

In conclusion using Newton's second law we can find the acceleration of the two-body system, where a mass is hanging is:

The acceleration of the system is: a = 8.46 m / s²

Learn more about Newton's second law here:  brainly.com/question/13959891

As Shown In The Figure, A 10-kg Block On A Perfectly Smooth Horizontal Table Is Connected By A Horizontal

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hello could some one please help me wit these

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PLEASE ANSWER ASAP
A 5 kg bowling ball traveling at 2 m/s hits a motionless 10 kg bowling ball. If the smaller ball bounces back at a speed of -1 m/s, what will be the speed of the larger ball after the collision?

Answers

Hi there!

Recall the conservation of momentum:

m1v1 + m2v2 = m1v1' + m2v2'

Let m1 = 5 kg ball and m2 = 10 kg ball

Since m2 is at rest, we can rewrite:

m1v1 = m1v1' + m2v2'

Plug in the given values:

5(2) = 5(-1) + 10v2'

Solve for v2':

10 = -5 + 10v2'

15 = 10v2'

15/10 = 1.5 m/s

Given ↷

m1 =5kgm2=10( since it's at rest)v1=2m/sv2=0(since it's at rest)v1' = -1To find ↷the speed of the larger ball after the collisionSolution↷

We know that,

m1v1 + m2v2 = m1v1' + m2v2'

5 x 2 + 0 = 5 x -1 + 10 x v2'

10= -5 +10 x v2'

15 = 10 x v2'

v2' = 15/10

v2' = 1.5 m/s

hence , the speed of the larger ball after the collision will 1.5m/s

A crate of mass 50kg is pulled up a rough inclined plane, inclined at an angle of 60° to the horizontal. Determine the total work done in moving the crate to the top of the inclined 200m high.​

Answers

Answer:

Wc = m*g = 50kg * 9.8N/kg = 490 N = Wt.

of crate.

Fc = 490N  60o = Force of crate.

Fp = 490*sin60 = 424.4 N. = Force

parallel to incline.

Fv = 490*cos60 = 245 N. = Force perpendicular to the incline.

Ff = u*Fv = u*245 = Force of friction.

Fap-Fp-Ff = m*a

Fap-424.4-u*245 = m*0 = 0

Fap = 424.4 + 245u. = Force applied.

L = 200m/sin60 = 231 m. = Length of

incline.

Work = Fap * L=(424.4+245u) * 231.

Explanation:

A child is stationary on a swing.(a)The child is given a push by his brother to start him swinging.His brother applies a steady force of 84 N over a distance of 0.25 m.(i) Calculate the work done by this force.(2)..............................................................................................................................................(ii) State how much energy is transferred by this force.(1)..............................................................................................................................................(iii) After several more pushes, the child has a kinetic energy of 71 J.The mass of the child is 27 kg.Show that the velocity of the child at this point is about 2.3 m/s.(2)(iv) Which one of these quantities changes in both size and direction while he is swinging?Put a cross ( ) in the box next to your answer.(1)Ahis gravitational potential energyBhis momentumCthe force of gravity acting on himDhis kinetic energy

Answers

Answer:

Work done = Fs

Explanation:

(i) W = Fxs

= 84N x0.25m

= 21 Joules

(ii) Ek = 1/2mv^2

71 = 1/2×27×v^2

71×2/27 = v^2

v = 23m/s

The work done by this force is 21 Joule.

Energy transferred by the force is 21 Joule.

The boy's momentum changes periodically, that is,  in both size and direction.

What is force?

An external force is an agent that has the ability to change the resting or moving condition of a body. It has a direction and a magnitude. So, it is  a vector quantity. Newton is the SI unit of force (N).

(i) Given parameter:

Steady force applied by his brother, F = 84 N.

Displacement, d = 0.25 m.

The work done by this force, W = F.d = 84×0.25 = 21 Joule.

(ii) Amount of work done is transferred by this force as an energy. So, amount of energy transferred by the force is 21 Joule.

(iii) Given parameter:

Mass of the child, m= 27 kg.

Kinetic energy, E = 71 J.

Let, velocity of the child = v, then kinetic energy is,

E = 1/2 × mv²

⇒ v = √(2E/m)

= √(2×71/27)

= 2.3 m/s.

Hence, the velocity of the boy is 2.3 m/s. (proved).

(iv) During swing, his velocity changes periodically. That's why, his momentum changes periodically, that is,  in both size and direction.

Learn more about force here:

https://brainly.com/question/13191643

#SPJ2

which forces have physicists shown to be the same force under conditions of very high temperature, as confirmed by experiments in particle accelerators?

Answers

Answer:

the electromagnetic and weak forces

Explanation:

What force would be required to accelerate a 1,100 kg car to 0. 5 m/s2? N.

Answers

Answer:

550 N

Explanation:

The force acting on an object given it's mass and acceleration can be found by using the formula

force = mass × acceleration

From the question

mass = 1100 kg

acceleration = 0.5 m/s²

We have

force = 1100 × 0.5 = 550

We have the final answer as

550 N

Hope this helps you

Answer:

If your filling in the blank on edge then its 550

Explanation:

NEED ANSWER ASAP!
Which statement about a converging lens is not correct?

A ray parallel to the principal axis of the lens is refracted through the principal focus.

B All rays of light refracted by the lens pass through the principal focus.

C The distance between the centre of the lens and the principal focus is the focal length

D The principal focus of the lens is a point on the principal axis.​

Answers

Geometric optics allows you to find which the correct answer about which false statement is:

  B)  All rays of light refracted by the lens pass through the principal focus.

Geometric optics studies the formation of images using the light geometric properties of optical systems, the main expression for this is:

      [tex]\frac{1}{f} = \frac{1}{p} + \frac{1}{q}[/tex]  

Where f is the focal length, p and q the distance to the object and the image respectively.

There are some points of special interest:

Object at infinity (p = ∞).  In this case of the expression we see that the image is at the focal length. Image at infinity (q = ∞). In this case the object is at the focal point.

Let's analyze the claims.

A) True. A parallel ray comes from infinity and the image is formed at the focal point.

B) False. The image point is given by the expression above and depends on the distance to the object.

C) True. This is the definition of focal length.

D) True. All distances are measured from the main axis.

In conclusion, using geometric optics we can find that the correct answer about which false statement  is:  

      B)  All rays of light refracted by the lens pass through the principal focus.

Learn more about geometric optics here: brainly.com/question/2548694

the homogenvity of s=ut+1/2at^2

Answers

s = ut+(1/2)at² is dimensionally homogeneous.

Consider the dot diagrams for Objects A, B, and C. The arrow-
represents the direction of motion. Match the motion of
Objects A, B, and C to one of the lines on the graph.
Numbers can be used only one time.
A
2
B
Pos'n
3
С
-t
Tap
A matches graph:
B matches graph:
C matches graph:
4
5
6
--
Pos'n
t

Answers

You throw a ball upward. (a) Draw a motion diagram and two force diagrams for the ball on its way up and another motion diagram and two force diagrams for the ball on its way down. (b) Represent the motion of the ball with a position-versus-time graph and velocity-versus-time graph.

Newton’s First Law of Motion applies to

1) objects at rest
2) objects in motion
3) both moving and non moving objects
4) objects that are accelerating

Answers

The answer is 3. The first law states that an object at rest stays at rest while an object in motion stays in motion

Answer:

3) both moving and non moving objects

Hope it helps:)

help with this question

Answers

Answer:

D and B.

Explanation:

The wavelength must be taken from the same corresponding point. D and B are both at the crests of a wave, with no other crests in between, which means the distance between them is equal to one wavelength.

A fan operating at 260V with a current being supplied at 13A. What is the effective resistance at which it is being operated?

Answers

Answer:

20 ohms

Explanation:

Resistance=Potential difference÷Electric current

X=260÷13

X=20

What are nucleic acids, and what are their function and structure? Give an example

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1) Nucleic acids are macromolecules that store genetic information and enable protein production.


2) Their function and structure is carry genetic information which is read in cells to make the RNA and proteins by which living things function.

How long will it take to travel 150km at an average speed of 40 km/h

Answers

Answer:

6,000 minutes

Explanation:

To calculate distance u multiply speed and time or speed and rate

A taxi is travelling at 20 m/s. Its driver accelerates with acceleration 5 m/s2 for 4 s. What is its new velocity?​

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Please find attached photograph for your answer.

Hope it helps.

Do comment if you have any query.

How to find resistance

Answers

Answer:

R = V/I

Explanation:

Example:

V = IR

R = V/I

If we were to use V = 120 and I = 0.25

R = 120/0.25

R = 480 Ohms

Your resistence would equal Ohms

If the resistor is connected in series, the voltage across the wire changes. (true or false)

Answers

true, Resistors connected in series always have equivalent resistance greater than any individual resistor. brainlessly please
Resistors in Series carry the same current, but the voltage drop across them is not the same as their individual resistance values will create different voltage drops across each resistor as determined by Ohm's Law ( V = I*R ).

6. Explain a change that you can make in your diet to further your overall health.

Answers

Answer:

“Eat more delicious whole-food plants at every meal and snack. Fruits, vegetables, whole grains, nuts and seeds are packed with nutrients and contain satisfying fiber that is good for digestion, disease prevention and sustained energy.

Explanation:

Make sure you are following the recommended amount of nutrients needed in your diet (depending on age and sex). You need enough carbohydrates (for energy) but also some fats. 40% of your diet should consist of fruits and vegetables, 25% of fibre rich carbohydrates, 25% of proteins and 10% fats.

Hope this helped

please answer this don't go on the one which is choosed coz i bymistakely choosed it​

Answers

Answer:

(B) B is travelling fastest

Explanation:

slope of xt graph = speed.

Slope of B is greater than a and c.

BRAINLIST PLS

HELP PLEASE
2. What is the potential energy of a 2000 g basketball that is stuck on the rim of a 3m hoop?

Answers

Answer:

[tex]U_g=58.86 J[/tex] or [tex]U_g=60 J[/tex]

Explanation:

Answer is attached. I do not know if you needed to use 9.81 or 10 for the acceleration due to gravity, so both solutions are attached.

Science Questions :)

Answers

I’m pretty sure it’s diagonally down to the right? Just seems the most logical to me anyways.

Answer:

The box will move diagonally down to the right

A force acts on an object. Which option describes an action that could prevent the object from moving

Answers

Answer:

Friction or tension

Explanation:

Friction stops an object from moving in the presence of force

A deer runs 5 km through the woods in 9 min and then walks 7 km in 2 hours. Find its average speed in km/h.

Answers

First, it was running at 33.3 km/h.
Then, he was walking at 3.5 km/h.

thus averaging a speed of 18.4 km / h

An object with a mass of 90 grams, moving at a constant velocity of 6 meters per second, has __________. A. A momentum of 540 gram meters per second B. An acceleration of 10 meters per second squared C. A momentum of 90 gram meters per second D. An acceleration of 6 meters per second squared Please select the best answer from the choices provided. A B C D.

Answers

Answer: 540 g m/s.

Explanation:

Answer: A.

A momentum of 540 gram meters per second!

Explanation: On Edge!!

The spark plugs are threaded into the top of each cylinder and provide a place for the spark to jump within the ________.

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Answer:

"the spark plug gap"

The plug provides a gap between the input voltage and the ground supplied by the car chassis.

What event has inspired your life so far? How has this event changed you?

Easy pts! I will give Brainliest. :)

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the art event called “cant help myself” its very emotional if you understand it :)

If a 5.00 kg box slides down a ramp inclined at 60.0° above the horizontal, what is the

acceleration of the box

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Answer:

A 70 kg box is slid along the floor by a 400 n force. The coefficient of friction between the box and the floor is 0. 50 when the box is sliding

Real-life situations of microphones.

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Answer:

Microphones are used in many applications such as telephones, hearing aids, public address systems for concert halls and public events, motion picture production, live and recorded audio engineering, sound recording, two-way radios, megaphones, radio and television broadcasting.

Find the mass of the second object if the force of gravity between the two objects is 0.128N. The mass of the first object is 1300 kg and the 2 objects are 0.23 m apart.​

Answers

Considering the Law of Universal Gravitation, the mass of the second object is 78090.19 kg.

The Law of Universal Gravitation is a law that states that bodies, by the simple fact of having mass, experience a force of attraction towards other bodies with mass, called gravitational force.

This law establishes that every particle attracts any other particle with a force directly proportional to the product of the masses of both and inversely proportional to the square of the distance that separates them:

[tex]F=G\frac{m1m2}{r^{2} }[/tex]

where m1 and m2 are their masses; r the distance between them and G a universal constant that is called the constant of gravitation.

In this case, you know:

F= 0.128 NG=6.67× 10⁻¹¹ Nm²/kg²m1= 1300 kgm2= ?r= 0.23 m

Replacing:

[tex]0.128 N=6.67x10^{-11}\frac{Nm^{2} }{kg^{2} } \frac{1300 kg m2}{(0.23 m)^{2} }[/tex]

Solving:

[tex]0.128 N=1.639x10^{-6}\frac{N}{kg }x m2[/tex]

m2=0.128 N ÷ 1.639×10⁻⁶ [tex]\frac{N}{kg}[/tex]

m2=78090.19 kg

In summary, the mass of the second object is 78090.19 kg.

Learn more:

https://brainly.com/question/858421?referrer=searchResultshttps://brainly.com/question/2347945?referrer=searchResults

Tại sao khi bị sì hơi quả bóng bay sẹp lại?

Answers

Answer:

what is this language??

các phân tử khí sẽ bị lọt ra ngoài, theo nguyên tắc vật lý thì áp suất khí bên trong càng cao thì các hạt phân tử khí bị lọt ra càng nhanh.
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