(a) Figure 1 shows a mas of 1200 kg hung by a massless cable supported by a counterweight of mass 900 kg. You may assume the gravitational acceleration to be 10 m/s2.

Determine the magnitude of the acceleration (in m/s2) of the 1200 kg mass and also the magnitude of the tension (in N) in the cable. Show your workings clearly.

Please help me bcoz I don't really understand how to do without a proper explanation behind the working. I'm quite weak in this subject, I m sorry :(

(a)Figure 1 Shows A Mas Of 1200 Kg Hung By A Massless Cable Supported By A Counterweight Of Mass 900

Answers

Answer 1

Answer:

1.43 m/s², 10,300 N

Explanation:

First things first is to draw a picture.  Fortunately, one was already provided.

Next, we need to draw a free body diagram for each mass.

The 1200 kg mass has two forces acting on it: tension pulling up and weight pulling down.

Similarly, the 900 kg mass has two forces acting on it: tension pulling up and weight pulling down.

Now we apply Newton's second law.  Let's start with the 1200 kg.  If we say that up is positive, then:

∑F = ma

T - W = M(-a)

T - Mg = -Ma

Notice that I made the acceleration negative.  That's because we know that the heavier mass will be accelerating down.

Now we apply Newton's second law to the 900 kg mass:

∑F = ma

T - W = ma

T - mg = ma

Now we have two equations and two unknowns (T and a).  Let's solve for the acceleration first.  To do that, let's subtract the two equations so we can eliminate T (if you prefer, you can also use substitution instead):

-mg − (-Mg) = ma − (-Ma)

-mg + Mg = ma + Ma

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

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

Given that M = 1200 kg, m = 900 kg, and g = 10 m/s²:

a = 10 m/s² (1200 kg - 900 kg) / (1200 kg + 900 kg)

a = 10/7 m/s²

a ≈ 1.43 m/s²

Now let's find the tension by plugging our answer into either of the two equations.

T - mg = ma

T - (900 kg) (10 m/s²) = (900 kg) (10/7 m/s²)

T = 72000/7 N

T ≈ 10,300 N

I'm not sure what rounding rules you need to follow, but hopefully this helps.


Related Questions

Objects become charged when are moved from one object to another.

Answers

Answer:true

Explanation:

Answer is Electrons

Baseball Digest is but one of several publications on the sport of baseball. True or False?

Answers

Answertrue

Explanation:

Baseball Digest is one of the publications on the sport of baseball is a True statement.

Explanation:

The baseball digest is the publication in regard to the baseball sport. It is published by the Grand Stand Publishing LLC in the city of Gurnee, state of Illinois, in United States. It was first published in the year of 1942 in August.  

It is being published in every 2 months in a year thereby, a total of 6 publications in a year. There are other publications as well for baseball namely, Baseball America, Baseball Hobby News, Baseball Register.

an ocean wave is an example of what type of wave​

Answers

Answer:

It is called a surface wave (rayleigh wave) that transmits its energy with the wind blowing onto its surface.Hope this helps

The sun can continue to exist in its present stable state for about another
40%
5.5 billion years
O 10 billion years
60%
100 billion years
O 15.5 billion years
Our
60%

Answers

Answer:

5.5 billion years

Explanation:

The answer

Answer:

5 billion years

Explanation:

A star like the Sun is called a main sequence star. It is considered as young age star. Sun is a medium sized star and its mass determines how long it can continue in its present form.

Its heat and light are a result of the thermonuclear fusion reactions that occur in its core. The proton cycle and carbon cycle are responsible for  generating the immense energy which is released in the form of heat and light. The amount of nuclear fuel ( hydrogen helium) present in the sun indicate that it can continue glowing at this state for another 5 or 5.5 billion years more. Sun formed abut 4.6 or 5 billion years ago, as shown from the calculations.  

15. What is a thermograph?
a device that uses infrared sensors to create pictures that show variations in temperature
an infrared lamp used for heating purposes
a color-coded picture that shows variations in temperature
an infrared sensor used to detect problems and variations in an electrical current

Answers

Answer: A device that uses infrared sensors.

Explanation:

Answer:

a device that uses infrared sensors to create pictures that show variations in temperature

Explanation:

Gradpoint

17. A figure skater skating across ice, who grabs another skater and brings him along the ice with her, is an example of what type of collision?

A. Mass collision
B. Inelastic collision
C. Parallel collision
D. Elastic collision

Answers

Answer:

B. Inelastic collision

Explanation:

There are two types of collision:

- Elastic collision: in an elastic collision, both the total momentum of the objects and the total kinetic energy of the objects involved are conserved before and after the collision

- Inelastic collision: in an inelastic collision, the total momentum of the objects is conserved before and after the collision, while the total kinetic energy is not - in fact, some of the kinetic energy is converted into other forms of energy (such as thermal energy) due to the presence of frictional forces

In particular, a perfectly inelastic collision is an inelastic collision in which the two objects stick together after the collision: in such a situation, the amount of kinetic energy "lost" (=converted into other forms) is maximum.

In the situation described in the problem, the two skaters stick together after the collision, so this is an example of perfectly inelastic collision.

The coefficient of kinetic friction between Gary's shoes and the wet kitchen
floor is 0.21. If Gary has a mass of 115 kg, what is the force of kinetic friction
acting on him as he slides across the floor?
O A. 237 N
O B. 587 N
O C. 316 N
O D. 1127 N

Answers

A. 237 N. The force of kinetic friction acting on him as he slides across the floor is Fk ≅ 237 N.

The equation of the force of kinetic friction is given by Fk = μk*N, where n = m*g. We know that the coefficient of kinetic friction between Gary's shoes and the wet kitchen floor is μk = 0.21, and Gary has a mass of 115kg. Substituting the values:

Fk = μk*n

Fk = (0.21)(115kg*9.8m/s²)

Fk = 236.67 N

Fk≅ 237 N

Answer:

237 N

Explanation:

A P E X

Raymond requires extensive knowledge of SQL and Bugzilla. What is Raymond’s job role?

A.
mobile app tester
B.
mobile app developer
C.
iOS architect
D.
senior iOS developer

Answers

B} Mobile app developer (╹◡╹)

Final answer:

None of the options provided specifically require the skills of SQL and Bugzilla, but based on these skills, Raymond is likely to work in a broader role related to database management, software development, or quality assurance such as a Database Administrator or a Quality Assurance Engineer.

Explanation:

Based on the requirement of having extensive knowledge of SQL and Bugzilla, it's likely that Raymond could be working in a role related to database management or testing. However, none of the listed options, which include Mobile App Tester, Mobile App Developer, iOS Architect, and Senior iOS Developer, specifically require these skills.

Most likely, Raymond is working in a broader role in software development or quality assurance. SQL (Structured Query Language) is a programming language used for managing and manipulating databases, while Bugzilla is a web-based general-purpose bug tracking system and testing tool. Therefore, his role could be a Database Administrator or a Quality Assurance Engineer.

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A sound wave travels through water in the tank of an aquarium. How do you expect the wave to travel differently when it reaches the thick glass of the side of the tank?
A) bend and decrease pitch
B) be absorbed and stopped
C) slow down and reflect
D) speed up and refract

Answers

Answer:

C

Explanation:

This is because glass (2400 kg/m^3) is denser than water (1000 kg/m^3).  Water has a refractive index of water is 1.33 while that of glass is 1.54.  This means that because the light is traveling from a medium of lower to higher refractive index, it will slow down and most of it will be reflected back into the water medium.

Answer: D

Explanation: just took the test

A lightbulb has a power of 100 W and is used for 4 hours. A microwave has a power of 1200 W and is used for 5 minutes. How much energy is used by the lightbulb? How much energy is used by the microwave? The lightbulb has an efficiency of 1.8%. How much heat energy does the lightbulb produce in 4 hours?

Answers

Answer:

a. E=1440KJ

b. E=360KJ

c. E=1.8 J

Explanation:

I have the power (Watts) is expressed as Energy (Joules) / Time (seconds), also I have to[tex]1hour * \frac{60min}{1hour}*\frac{60s}{1min}\\1h=3600s[/tex]

so, for the lightbulb

[tex]100W= \frac{Energy}{3600s*4}\\Energy=100W*14400s\\ E=1440000J =1440KJ[/tex]

Analogously, for the microwave

[tex]1200W= \frac{Energy}{60s*5}\\Energy=1200W*300s\\ E=360000J =360KJ[/tex]

Now, I have to express the efficiency as Heat energy / power * 100 so[tex]1.8= \frac{Heat Energy}{100W}*100\\Heat Energy=1.8J[/tex]

Done

The ratio of minimum wavelength of lyman and balmer series is......?​

Answers

Answer:

27/5

Explanation:

In Lyman series, the electron returns to the first state while in Balmer series, it returns to the second state (first excited state).

ΔE = h(f₂-f₁) ; f ⇒ frequency

Hence, smaller the value of ΔE, smaller would be the frequency. Hence, to have minimum frequency for any particular spectral line, we'll have to find the minimum value of ΔE. For that to happen in Lyman series, the electron must jump from n=2 to n=1, and from n=3 to n=2 in Balmer series.

Ratio of minimum frequency of Lyman and Balmer series is equal to ratio of ΔE of Lyman to ΔE of Balmer. Minimum value of |ΔE| for Lyman series would be K(1-1/4)=3K/4 and that for Balmer series would be K(1/4-1/9) = 5K/36. Hence, ratio of minimum frequency of Lyman and Balmer series would be (3K/4)÷(5K/36), i.e. ratio = 27/5.

Please let me know if this helped :)

During nuclear decay, a new isotope is created. How is the nucleus of the new isotope different from the parent if the parent isotope has undergone beta decay?

Answers

Answer:

It has one proton instead of a neutron (beta-minus decay) or a neutron instead of a proton (beta-plus decay)

Explanation:

- In a beta-minus decay, a neutron in the nucleus turns into a proton, emitting an electron and an anti-neutrino:

[tex]n \rightarrow p + e^- + \bar{\nu}[/tex]

In this process, therefore, the final nucleus will have a proton instead of a neutron. This means that the atomic number Z (number of protons) will increase by one, while the mass number A (number of protons+neutrons) will remain the same.

- In a beta-plus decay, a proton in the nucleus turns into a neutron, emitting a positron and a neutrino:

[tex]p \rightarrow n + e^+ + \nu[/tex]

In this process, therefore, the final nucleus will have a neutron instead of a proton. This means that the atomic number Z (number of protons) will decrease by one, while the mass number A (number of protons+neutrons) will remain the same.

What is the main reason water from the ocean turns to water vapor , and then evaporates into the air


A) ocean breezes


B) changing tides



C) heat from the sun



D) moons gravitational pull



Answers

Hello! :)

C) heat from the sun

Why?

Because the sun’s heat makes the water turn to steam—or what we call “water vapor.”

Hope this helped and I hope I answered in time!

Good luck!

~ Destiny ^_^

Answer: C

Heat From the Sun

How Do I Know?

SCIENCE

the impulse given to a ball with a mass of 2.0 kg is 16 N.s. If the ball were already moving at 3.0 m/s, what would the final velocity be?

Answers

Answer:

11 m/s

Explanation:

Impulse equals change in momentum.

I = Δ(mv)

Since mass isn't changing:

I = m Δv

16 Ns = (2.0 kg) (v - 3.0 m/s)

v = 11 m/s

calculate the change in potential energy of a body of mass 2kg that is lifted through a height of 10m above the ground level. if this 2kg mass is allowed to fall, what will be it kinetic energy before hitting the ground​

Answers

Answer:

Use the potential energy formula

Explanation:

PE=mgh

m=mass=2kg

g=gravitational force=-10

h=height=10m

Potential energy is 200 Joule is same as kinetic energy before hitting the ground​.

What is gravitational potential?

Gravitational potential energy is energy an object possesses because of its position in a gravitational field. The most common use of gravitational potential energy is for an object near the surface of the Earth where the gravitational acceleration can be assumed to be constant at about 9.8 m/s².

PE  = mgh

mass, m = 2kg

gravitational force, g = -10

height, h=10m

PE = 2*10*10 = 200 joule

Potential energy change to kinetic energy before hitting the ground.

Potential energy is 200 Joule is same as kinetic energy before hitting the ground​.

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Photoelectrons with a maximum speed of 7.00 · 105 m/s are ejected from a surface in the presence of light with a frequency of 8.00 · 1014Hz. If the mass of an electron is 9.1 · 10-31 kg, calculate the maximum kinetic energy of a single electron, in joules.

_____ J

6.3 x 10-25
4.4 x 10-19
3.2 x 10-25
2.2 x 10-19

Answers

Answer:

2.2 x 10-19

Explanation:

Kinetic Energy = 1/2 m v ^2

A physics student hangs various masses from a spring and records the resulting distance the spring has stretched. The graph shows the data, which plots the mass hung from the spring as a function of the distance the mass caused the spring to stretch beyond its original length. By how much will the spring have stretched if you hang a 2.35 kg mass from it, assuming that it continues to obey Hooke’s law?


120 cm

94 cm

76 cm

50 cm

Answers

Answer: 94 cm

Explanation:

The answer is not among the given options, however it can be approximated to 94 cm.

Hooke's law establishes that the elongation of a spring is directly proportional to the modulus of the force [tex]F[/tex] applied to it, as long as the spring is not permanently deformed:  

[tex]F=k (x-x_{o})[/tex] (1)

Where:  

[tex]k[/tex] is the elastic constant of the spring

[tex]x_{o}[/tex] is the length of the spring without applying force.  

[tex]x[/tex] is the length of the spring with the force applied.

According to this, we have a spring where only the force due gravity is applied.  In other words, the force applied is the weigth [tex]W[/tex]:

[tex]W=m.g[/tex] (2)

So, equation (1) can be rewritten as:

[tex]W=k (\Delta x)[/tex] (3)

Isolating [tex]k[/tex]:

[tex]k=\frac{W}{\Delta x}[/tex] (4)  From here we can deduce [tex]k[/tex] is the slope of the line of the graph shown, as follows:

[tex]k=\frac{m_{2}g-m_{1}g}{x-x_{o}}=g\frac{m_{2}-m_{1}}{x-x_{o}}[/tex]

Where:

[tex]m_{2}=400 g=0.4 kg[/tex]

[tex]m_{1}=200 g=0.2 kg[/tex]

[tex]g=9.8\frac{m}{s^{2}}[/tex] is the acceleration due gravity

[tex]x=15 cm=0.15 m[/tex]

[tex]x_{o}=7.5 cm=0.075 m[/tex]

[tex]k=9.8\frac{m}{s^{2}}\frac{0.4 kg-0.2 kg}{0.15 m-0.075 m}[/tex]

[tex]k=26.13 N/m[/tex] (5) This is the spring constant

Now, with the mass [tex]m=2.35 kg[/tex] we can calculate the weight:

[tex]W=m.g=(2.35 kg)(9.8\frac{m}{s^{2}})[/tex]

[tex]W=23.03 N[/tex] (6)

So, knowing [tex]k=26.13 N/m[/tex] and [tex]W=23.03 N[/tex] we can calculate [tex]\Delta x[/tex] from (3):

[tex]\Delta x=\frac{W}{k}[/tex] (7)

[tex]\Delta x=\frac{23.03 N}{26.13 N/m}[/tex] (8)

[tex]\Delta x=0.88 m=88.13 cm[/tex] (9)

The value that is nearest to 88.13 cm is 94 cm

Final answer:

The question is about determining how much a spring would stretch under a certain weight, based on Hooke's law. Without the spring constant or the graph data, it is impossible to provide the exact value. Nonetheless, it is crucial to acknowledge that the stretch (x) can be calculated from the formula of Hooke’s law (F=kx) substituting force (F) with mass times gravity (mg).

Explanation:

This problem is based on Hooke’s law, which is a principle in physics that states that the force needed to extend or compress a spring by a certain distance scales linearly with respect to that distance. The law is usually formulated as F = kx, where F is the force applied, x is the displacement of the spring (how much it is stretched), and k is the spring constant.

In this case, you want to find x (the stretch of the spring) when a certain mass (m) is hung from the spring. According to Newton’s second law, F = ma, where a is the acceleration due to gravity. However, in this context, F can also be thought of as the weight of the mass, which is mg. So, F = mg. Therefore, mg = kx.

Unfortunately, without knowing the value of the spring constant (k), or having the actual data from the graph, it is not possible to calculate how much the spring would stretch when a 2.35 kg mass is hung from it.

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Determine which factors will increase the reaction rate and which factors will decrease to reaction rate
Decrease concentration
Increase Reaction Rate
Decrease Reaction Rate
Decrease suntace area​

Answers

Answer:

Decrease concentration decrease reaction rate.

Decrease surface area increase reaction rate

how do cars transform energy

Answers

The internal combustion engine in the car converts the potential chemical energy in gasoline and oxygen into thermal energy which is transformed into the mechanical energy that accelerates the vehicle ( increasing its kinetic energy ) by causing the pressure and performing the work on the pistons.

A temperature of 20°C is equivalent to approximately?

A. 68°F
B. -6°F
C. 136°F
D. 32°F

Answers

The answer is A.68 degrees

i think its (a) too.

What is the most often given valie of zero to describe an object's position on a straight line? Displacement; reference point; distance; or ending location?

Answers

Answer:

Reference point

Explanation:

When describing the motion of an object, a reference point is used in order to measure distances/displacements starting from that point. Most often, the position marked as zero is used as reference point for simplicity.

Distance is a measure of the space covered by an object in motion; it is a scalar, and its value depends on the path taken by the object.

On the contrary, displacement is a vector quantity, whose magnitude is equal to the distance (calculated on a straight line) between the ending location and the starting location of the motion of the object. This means that the displacement does not depend on the path taken by the object, but only on the locations of the initial and final point.

Answer:

Reference Point

Explanation:

This is correct because this is where everything starts.

How much time is required before a 2.50-mg sample of 146 61 pm (t1/2 = 2020days) is reduced to 1.25mg

Answers

Answer:

2020 days

Explanation:

The half life equation is:

A = A₀ (½)^(t / T)

where A is the final amount, A₀ is the initial amount, t is the amount of time, and T is the half life.

Here, A = 1.25 mg, A₀ = 2.50 mg, and T = 2020 days.

1.25 = 2.50 (½)^(t / 2020)

0.5 = ½^(t / 2020)

1 = t / 2020

t = 2020

It takes 2020 days.

The time required before a 2.50-mg sample of 146 61 pm is reduced to 1.25mg is 2020 days.


What is half life?

Half life is the time taken  by a radioactive material for the radioactivity of  to reduce by half its original value.

The half life equation is:

A = A₀ (½)^(t / T)

where A is the final amount, A₀ is the initial amount, t is the amount of time, and T is the half life.

Given is the value of A = 1.25 mg, A₀ = 2.50 mg, and T = 2020 days.

1.25 = 2.50 (½)^(t / 2020)

0.5 = ½^(t / 2020)

1 = t / 2020

t = 2020

Thus, time taken is 2020 days.

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Explain why a basketball doesn’t bounce the same height each time you drop it.

Answers

Hi!

So if you drop a basketball from a higher height, it has more time to gather more energy, which it then forces against the ground and causes the ball to bounce.

Hope this helps! Sorry I didn't really use any technical terms!

The basketball do not bounce back to the same height after each drop due to the fact of loss of kinetic energy.

Explanation:

When the basketball or any ball is dropped off from a certain height it falls down under the influence of gravity with the kinetic energy which has been transferred to the ball with hand by dribble.

When the basketball hits the ground with the kinetic energy, it loses some of the energy to the ground and then with the action reaction pair with the ground, is bounced back but with lower energy to a lower height.

How can an object have KE

Answers

Answer:

Explanation:

If it moves, the object has KE. The formula for KE is

KE = 1/2 mv^2

In order to have a measurable KE, you only need the object to have a mass (m) and a speed(v). If it has those two things, it has KE.

In most materials, as heat energy is absorbed, density

Answers

Answer:

In most materials, as heat energy is absorbed, the density decreases. IF a certain object is heated, it might appear bigger than usual because it expands as the molecules inside moves faster than usual. However the mass of it stays the same while the density decreases.

Which of the following BEST describes the energy involved in an exothermic chemical reaction before the reaction?

Answers

Final answer:

In an exothermic chemical reaction, energy is stored in the bonds of reactants before the reaction. It's higher than the energy of the products, hence when the reaction takes place, energy is released typically as heat.

Explanation:

In a typical exothermic chemical reaction, energy is stored in the chemical bonds of the reactants before the reaction. This energy is higher than that of the product molecules which arise after the reaction. When the reaction takes place, the stored energy is released as heat. This is why the reaction is called 'exothermic', as 'exo' means 'out' and 'thermic' means 'heat'.

An example of an exothermic reaction is the burning of natural gas. In this process, natural gas (methane) reacts with oxygen and release a large amount of energy as heat and light. So, in simple terms prior to an exothermic reaction, the reactants possess a relatively larger potential energy as compared to the products.

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7. How much thermal energy is absorbed when 10.0 g of ice at 0.0 degrees C changes phase to liquid water at 0.0 degrees C? The molar mass, M, of water is 18.02 g/mol and the theoretical heat of fusion, Hfus, of water is 6.01 kJ/mol

Answers

Answer:

3.34 kJ

Explanation:

FIrst of all, we need to calculate the number of moles corresponding to 10.0g of ice. This is given by

[tex]n=\frac{m }{M_m}[/tex]

where

[tex]M_m = 18.02 g/mol[/tex] is the molar mas

m = 10.0 g is the mass

Substituting

[tex]n=\frac{m}{M_m}=\frac{10 g}{18.02 g/mol}=0.555 mol[/tex]

Now we know that the heat of fusion is

[tex]H_{fus}=6.01 kJ/mol[/tex]

so the thermal energy needed to fuse the ice is

[tex]Q=n H_{fus} = (0.555 mol)(6.01 kJ/mol)=3.34 kJ[/tex]

Heyyyy help !

What’s the electromagnetic wave that has a wavelength between 1mm and 30cm

Answers

You've got some UHF radio waves at the long end of that range.  But most of the range consists of microwaves.

For example:  In the US, the "microwave oven" kitchen appliance cooks with radiation at a wavelength of about 12.2 cm .  

This is a machine that will convert mechanical nuclear or chemical energy into electrical energy

Answers

Answer:

generator

Explanation:

a machine that will convert mechanical, nuclear, or chemical energy into electrical energy.

What are the coefficients of the equation below when is balanced?

Answers

A) 3, 2, 1,6

3CaCl2 + 2Na3PO4 --> 1Ca3(PO4)2 + 6NaCl

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