A person of mass 55 kg swings on a rope length 4 m from rest (when the rope makes an angle of 30 degrees with the vertical) and collides perfectly inelastically with a 70 kg person on the ground when the rope is exactly vertical. Determine the maximum angle the rope makes with the vertical after the 55 kg person picks up the 70 kg person.

Answers

Answer 1

Answer:

θ = 19.66°

Explanation:

To determine the angle that the rope makes with the vertical for the two people, you first take into account the potential energy of the first person before he swings on the rope:

[tex]U=mgh[/tex]

h: distance to the ground

g: gravitational acceleration = 9.8m/s^2

m: mass of the first person = 55 kg

In the image attache below you can notice that the height h is:

[tex]h=4-4cos(30\°)=0.53m[/tex]

Then, the potential energy is:

[tex]U=(55kg)(9.8m/s^2)(0.53m)=285.67J[/tex]

When the first person picks up the second person (when the rope is exactly vertical), all the potential energy becomes kinetic energy. Next, when both people reaches the maximum height h' the energy must be equal to the initial potential energy of the first person:

[tex]U'=(m_1+m_2)gh'=285.67\ J[/tex]

From the previous equation you can get h':

[tex]h'=\frac{285.67J}{(55kg+70kg)(9.8m/s^2)}=0.2332m[/tex]

Finally, you obtain the angle between the rope at the height h,' and the vertical, by calculating the following:

[tex]h'=4-4cos(\theta)\\\\\theta=cos^{-1}(\frac{4-h'}{4})=cos^{-1}(\frac{4-0.2332}{4})=19.66\°[/tex]

hence, the angle between the rope and the vertical, when the two people are in the rope is 19.66°

A Person Of Mass 55 Kg Swings On A Rope Length 4 M From Rest (when The Rope Makes An Angle Of 30 Degrees

Related Questions

Which term best describes the phrase "something that happens"?
A. Experiment
B. Observation
C. Hypothesis
D. Phenomenon

Answers

The phenomenon is the term that best describes the phrase "something that happens", therefore the correct answer is option D.

What is science?

The deliberate, scientifically justified quest and utilization of knowledge and comprehending of the natural and improvements in living standards are what is known as science.

As given in the problem,

Which term best describes the phrase "something that happens"?

A. Experiment

B. Observation

C. Hypothesis

D. Phenomenon

The phenomenon is the term used to define the process of happening things that may be natural or anthropologic.

Thus, The phrase "something that happens" is best described by the word "phenomenon," hence option D is the appropriate response.

Learn more about the science here,refer to the link;

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Why are experiments often performed in laboratories?
O A. They are better at representing the real world.
O B. There are fewer variables to control.
C. Scientists only want to know what happens in labs.
O D. It is harder to control variables in a laboratory.

Answers

Answer:

B

Explanation:

Laboratories are usually controlled: however, in public places, there are way too many factors that could change an experiment

Which statement about velocity is true?

Answers

Answer:

Velocity has both speed and direction. Speed is constant. ... Speed is measured over time.

Explanation:

velocity is a vector quantity, and speed is a scalar quantity. The speed

Answers

Answer:

Speed is a scalar quantity – it is the rate of change in the distance travelled by an object, while velocity is a vector quantity – it is the speed of an object in a particular direction.

How does a sound wave transfer energy to your ears ?

Answers

Answer:

A. Particles in air move in circles as the wave moves forward.

B. Particles in air move forward but not backward as the wave moves

forward.

C. Particles in air move up and down as the wave moves forward.

✔ D. Particles in air move forward and backward as the wave moves

forward.

Explanation:

The waves transfer energy from the source of the sound, e.g. a drum, to its surroundings. Your ear detects sound waves when vibrating air particles cause your ear drum to vibrate. The bigger the vibrations the louder the sound.

Answer:

Sound waves travel at 342 m/s through the air and faster through liquids and solids. The waves transfer energy from the source of the sound, e.g. a drum, to its surroundings. your ear detects sound waves when vibrating air particles cause your eardrum to vibrate. The bigger vibrations the louder the sound.

Explanation:

What happens to momentum when two objects collide

Answers

Answer:

The sum of momenta of each object before and after collision is equal . Thus when they collide , their momentum will change but its sum will be sane as the sum of the momentum before collision

Which describes the role of the muscular system during physical activity?
Select all that apply.
1: It allows for movement.
2: It controls the breathing rate.
3: It forces venous blood to return to the heart.
4: It controls the heart rate.

Answers

Answer:

1.It allows for movement.

2.t controls the breathing rate.

4. It controls the heart rate.

Explanation:

Can someone answer these questions
I’ll give you brainliest

1. How do YOU think a rocket/space shuttle goes into outer space

2. Newton had 3 laws about motion. Please look up his 3rd one and write it down here.

3. How is this law related to how a rocket/space shuttle goes into outer space

4. What was the purpose of the SpaceX Crew Dragon mission

5. Who were the 2 astronauts involved

6. Where was the spaceX Dragon going

7. Were the takeoff and landing successful

8. How might this mission help future space travel

Answers

Answer:

1. Following the recoil principle, rockets use combustion (a controlled explosion) to work against earth's gravitational attraction.

2. A force is a push or a pull that acts upon an object as a results of its interaction with another object. ... These two forces are called action and reaction forces and are the subject of Newton's third law of motion. Formally stated, Newton's third law is: For every action, there is an equal and opposite reaction.

(via physicsclassroom.com)

3. The combustion throws out material with very high momentum and is, physically speaking, the action. In reaction to that that, the rocket moves away from it (upward when in starts and has the action underneath it)

4. To show the world that commercial manned space missions are safely possible. Some may also like the fact that the US can now do, or rather order, manned flights into space without the help of the russian space agency (Roskosmos).

5. Robert Behnken and Douglas Hurley

6. The international space station (ISS)

7. Yes, Stage 1 of the rocket landed on the drone ship. The crew opened the hatch to enter the space station after 21 hours and 39 minutes after the launch from Cape Canaveral.

8. To have private contractors such as SpaceX actively in the field, there are now more interest groups that participate in space travel. And they can interact with other companies as well.

Also, due to Musks dream and efforts of SpaceX, space travel seems to get a lot cheaper.

That might indeed open the way back to the moon and further to the Mars for human space flight.

Governments such as the US planned on such things for decades, but changed plans ever since, and routinely changed leadership and the opinion on what's important.

Now Spaceflights can become less politically motivated and more commercially. That seems to be a more stable way over long periods of time.

(wrote most of it for you myself, even tough I'm not a native English speaker. would really appreciate the brainliest if you appreciate the work)

Answer:

yhgfty

Explanation:

cdfgv

1. Two spherical objects have masses of 300 kg and 140 kg. Their centers are separated by a
distance of 1.7 m. Find the gravitational attraction between them.

Answers

The concept that must be used to solve this problem is linked to Newton's laws of gravitation. Newton defined the gravitational attraction force as the product between the universal constant of gravitation, by the masses of each object, all this because of the change in the squared distance that separates them, mathematically it can be expressed as,

[tex]F_G = \frac{G m_1 m_2}{r^2}[/tex]

Here,

G = Gravitational Universal Constant

[tex]m_{1,2}[/tex] = Mass of each object

r = Radius

Our values are,

[tex]G = 6.67*10^{-11}N\cdot m^2/kg^2[/tex]

[tex]m_1 = 300kg[/tex]

[tex]m_2 = 140kg[/tex]

[tex]r = 1.7m[/tex]

Replacing,

[tex]F_G = \frac{(6.67*10^{-11}N\cdot m^2/kg^2 )(300kg)(140kg )}{(1.7m)^2}[/tex]

[tex]F_G = 9.7*10^{-7} N[/tex]

why do we need to study physics like how will it help our future

Answers

Answer:

It helps us to be aware of some things that guide us and laws or theories to help us learn further

Physics helps you to understand the world around you, and satisfy your curiosity.
Studying physics develops your critical thinking and problem-solving skills.
Physics drives technology advancements, impacting society, the environment and the economy.

The pressure of a gas produces a net force (the sum of all the forces) at ____ angles to the wall of a container.

Answers

Answer: RIGHT angles

Explanation:

The pressure of gas produces a net force, i.e., the sum of all the forces at right angles to the wall of a container.

What is Pressure?

A key idea in physics is pressure, which is measured as the amount of force per unit area acting perpendicular to a surface.

Imagine holding a tack between your forefinger and thumb, with the head on your forefinger and the pointy end on your thumb, and lightly pressing it there to comprehend pressure. The forefinger will not experience discomfort, but the thumb will feel it right away. The thumb is under the same amount of pressure as the forefinger due to the tack's limited surface area, but the pressure on the thumb is significantly greater.

A net force pressing on the container walls is created as a result of collisions with the container. Gas pressure is a result of this force acting perpendicular to the container walls. A pressure gauge can be used to measure this pressure.

To get more information about Pressure :

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Carrying Capacity is...?
Maximum individuals that a space can hold
Least individuals that a space can hold
Maximum number of different materials a space can hold
Least number of materials a space can hold

Answers

Carrying capacity is the maximum amount of individuals a space can hold.

Is weightlifting an example of newton's 3rd law of motion? if so explain.

Answers

Yes. The lifter gives an upward force and a counter is felt by him.

WILL BE MARKED BRAINLIEST
IF CORRECT
In what ways are electromagnetic waves differed from mechanical waves?
A. Electromagnetic waves can only travel through matter.
B. Electromagnetic waves transfer matter through empty space.
C. Electromagnetic waves are longitudinal waves
D. Electromagnetic waves can travel through empty space

Answers

Answer:

C. Electromagnetic waves are longitudinal waves

Explanation:

Answer:

the answer is c

Explanation:

Zona onde não incide luz visível devido à interposição de um objeto opaco.

Answers

Answer:

can you please translate to english?

Explanation:

Convert the following:
a)2500 kilogram into gram.
b)335 hours into seconds.
c)1 day into seconds.​

Answers

Explanation:

A) 1 kg = 1000g

2500kg = 2500000g

B 1 hour = 3600 sec

335 hour = 1206000sec

C 1day = 24 hours

1 hour = 3600 sec

24 hours = 86400sec

Answers:

a. 2500000 grams

B. 1206000 seconds

c. 86400 seconds.

Look at the attached picture

Hope it will help you

Good luck on your assignment

How the like and unlike poles of magnets interact

Answers

Answer:

like repel unlike attract

Explanation:

mmwwwwwww

What is work?
A. Force times an object's displacement
OB. The distance an object moves over time
C. The time it takes an object to move a certain distance
O D. The force that distance makes
SUBMIT

Answers

A is the right answer

An object starts at position -2m with an initial velocity of -4 m/s and a constant acceleration of +3 m/s^2.

a. In which direction is the object traveling initially?
b. What will be the object's velocity after 1s, 2s, 3s?
c. What will the objects position be after 3s?

Answers

Answer:

here is the answer

Explanation:

a) since displacement is given as a negative value, object must travelling i the negative direction (with respect to a cartesian plane).

b) after 1 second

v = u + at

v = -4 + 3× 1

v = -4 + 3

v = -1 m/s

after 2 seconds

v = -4 + 3×2

v = -4 + 6

v = 2 m/s

after 3 seconds

v = -4 + 3×3

v = -4 + 9

v = 5 m/s

c) we need to find the position after three seconds

initial velocity= u= -4m/s

final velocity = v= 5 m/s  ( as previously calculated)

acceleration=3m/s²

s = ut + 1/2 × at²

s = -4×3 + 1/2 × 3×(3)²

s = -12 + 1/2 × 27

s = -12 + 27/2

s = 1.5 meters   ( in the positive direction; as time has increased and acceleration in positive)

position = -2 + 1.5 = -0.5 meters

(s indicates distance travelled)

A particle starts with an initial velocity 3.5m/s and it accelerates uniformly at the rate 0.5m/s². The displacement in the first 3 seconds. *
pls help me

Answers

Answer:

final speed is (3.5 + 1.5) = 5 m/s

Explanation:

If it accelerates for 3 seconds with 0.5m/s² What will be the new speed?

An acceptation of 0.5 m/s² means that every second the speed increases by 0.5 m/s. After 3 * seconds you gain in speed by 3 * 0.5 = 1.5 m/s So the final speed is 3.5 + 1.5 = 5 m/ s

Here is another method:

u =3.5m/s

Make use of

a = (v-u) / t

where:

a is acceleration in m/s² =0.5

v is final velocity in m/s = ?

u is initial velocity in m/s = 3.5

t is time in s = 3

Rewrite so it starts with v =....

a = (v)/t - (u) / t

v/t = u/t + a

multiply left and right of the = sign by t

v = u + a * t

Substitutie the known numbers

v = 3.5 + 0.5 * 3

final speed is (3.5 + 1.5) = 5 m/s

what is the symbol name?

Answers

Answer:

cell

Explanation:

here are all the symbols-

hope this helps, take care and stay safe

Body 1 has a mass m, and its moving in a circle with a radius r at a speed v. It has a centripetal force. F acting on it. If body 2 has a mass 2m and its moving in a circle of radius 4r at a speed 4v, what is the centripetal force acting on it

Answers

Answer:

The centripetal force on body 2 is 8 times of the centripetal force in body 1.

Explanation:

Body 1 has a mass m, and its moving in a circle with a radius r at a speed v. The centripetal force acting on it is given by :

[tex]F=\dfrac{mv^2}{r}[/tex]

Body 2 has a mass 2m and its moving in a circle of radius 4r at a speed 4v. The centripetal force on body 2 is :

[tex]F'=\dfrac{2m\times (4v)^2}{4r}\\\\F'=\dfrac{2m\times 16v^2}{4r}\\\\F'=8\dfrac{mv^2}{r}\\\\F'=8F[/tex]

So, the centripetal force on body 2 is 8 times of the centripetal force in body 1.

What is Newton's Law of Conservation of Momentum?

Answers

Answer: The law of conservation of linear momentum helps to understand the behavior of a Newton's cradle In a closed system. This law is nothing more than action and reaction.it can be used to predict the resulting direction and speed of motion of objects after they collide.

Explanation: Just as an example, when you play pool/8ball, the white play exerts force on the other balls causing them to break away.

hope this helps.

He discovered that electricity could be mae by moving a magnet inside a wire coil

Answers

Answer:

Michael Faraday

Explanation:

Electromagnetic Induction was first discovered way back in the 1830's by Micahel Faraday. Faraday noticed that when he moved a permanent magnet in and out of a coil or a single loop of wire it induced an ElectroMotive Force or emf, in other words a Voltage, and therefore a current was produced.

What is the definition of work in Physics?

Answers

Answer:

the mental and physical activities carried out by using energy are generally termed as work

ElectAltEngOnl.19-20.SEC - Theodore Neitzel
1 of 3
Dada:
+
Automatic Zoom
D. The strength of an electric field.
Use the following scenario to answer question 2.
Some students took a study break and played Guitar Hero on their PlayStation. They used a TV
requiring 1.75 amps and a PlayStation requiring 0.75 amps. Assume electricity costs $0.15 per
kWh and they used 120V outlets.
2. What is the resistance of the TV?
A. 68.6 amps
B. 210 amps
C. 68.6 ohms
D. 210 ohms​

Answers

Answer:

Option C is correct.

The resistance of the TV = 68.6 ohms.

Explanation:

According to Ohm's law, the voltage across a device is equal to the product of the current through the device and the resistance across the device.

Since electrical appliances are setup in parallel connection, the voltage across the TV and the PlayStation is the same and is 120 V.

V = IR (From Ohm's law)

V = voltage across the TV = 120 V

I = current flowing through the TV = 1.75 A

R = Resistance of the TV = ?

120 = 1.75 × R

R = (120/1.75) = 68.57 ohms = 68.6 ohms.

Hope this Helps!!!

SOMEONE HELP W THESE QUESTIONS PLEASEEE

Answers

3m/s²

5m/s²

I hope it helps

Identify the sentence When you can see both sides of an issue equality we'll, you find it difficult to take a stand , but some people insist that you take one side or another .

Answers

Answer:

Compound-Complex sentence

Explanation:

compound-complex sentence is a type of sentence that is comprised of atleast two independent clauses also it is characterised by having one or more dependent clauses.

Among all types of sentences, compound-complex sentences are usually the most complicated as well as the longest. This is usually the point because it is made up of two sentence structures; compound and complex sentence structure.

An example of a compound complex sentence below;

Though Mike prefers watching high school films, he rented the latest spy thriller, and he enjoyed it very much.

An asteroid is hurtling towards Earth with a large amount of kinetic energy. When it enters the atmosphere it creates a small amount of gravitational energy. Once the asteroid hits the Earth, the asteroid breaks apart. What happens to the gravitational energy?

Answers

Answer:

All the gravitational energy is converted mostly to the kinetic energy of the debris of the asteroid as they scatter everywhere. Also, some of it is converted to the sound energy of the impact that will be heard and heat energy.

Question 8 of 10
2 Points
A scientist gives three trees of the same size and species different amounts
of water all summer. He measures how fast the trees grow. What is the
independent variable in this experiment?
A. The amount of water
B. The growth rate of the trees
C. The month the trees are measured
D. The size of the trees
SUBMIT

Answers

A. The amount of water. 50/50

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