1. A meter rule is found to balance at the 48cm mark. When a body of mass 60g is suspended at the 6cm mark the balance point is found to be at the 30cm mark. Calculate, i) the mass of the meter rule 11) the distance of the balance point from the zero end, if the body were moved to the 13cm mark. ​

Answers

Answer 1

Hi there!

We can use a summation of torques to solve.

Recall the equation for torque:
[tex]\large\boxed{\Sigma \tau = rF}[/tex]

r = distance from fulcrum (balance point)

F = force (in this instance, weight, N)

We can set the fulcrum to be the balance point of 30 cm.

Thus:
Meter ruler:

Center of mass at 48 cm ⇒ 48 - 30 = 18 cm

Object:
At 6cm ⇒ 30 - 6 = 24 cm

For the ruler to be balanced:
[tex]\large\boxed{\Sigma \tau_{cc} = \Sigma \tau_{ccw}}[/tex]

Thus:
[tex]M_Rg(18) = 60g(24)\\M_R = \frac{60(24)}{18} = \boxed{80 g}[/tex]

The mass of the ruler is 80 grams.

If the body were moved to 13 cm:
B (balance point) - 13 = distance of object

48 - B = distance from ruler center of mass to balance point

[tex]80g(48 - B) = 60g(B - 13)\\\\3840 - 80B = 60B - 780\\\\4620 = 140B\\\boxed{B = 33 cm}[/tex]

The new balance point would be 33cm from the zero end.


Related Questions

What is lenz law?
What is galvanometer?​

Answers

Answer:

Lenz's law, in electromagnetism, statement that an induced electric current flows in a direction such that the current opposes the change that induced it. This law was deduced in 1834 by the Russian physicist Heinrich Friedrich Emil Lenz (1804–65).

Find the pressure exerted by a force 8000 newton's on an area of 25m^2. Give your answer in newton's/n^2

Answers

The pressure exerted by this force is equal to 320 [tex]N/m^2[/tex].

Given the following data:

Force = 8000 Newton.Area = 25 [tex]m^2[/tex].

To calculate the pressure exerted by this force:

How to calculate pressure.

Mathematically, pressure is given by this formula:

[tex]P=\frac{F}{A}[/tex]

Where:

P is the pressure.F is the force.A is the area.

Substituting the given parameters into the formula, we have:

[tex]P = \frac{8000}{25}[/tex]

P = 320 [tex]N/m^2[/tex].

Read more on pressure here: https://brainly.com/question/8033367

Which statement defines average speed?


distance over time for a given perioddistance over time for a given period , ,

speed over time for a given periodspeed over time for a given period , ,

time over speed for a given periodtime over speed for a given period , ,

time over distance for a given period

Answers

Answer:

I think it’s b

Explanation:

Average speed is calculated by dividing the total distance that something has traveled by the total amount of time it took it to travel that distance. Speed is how fast something is going at a particular moment. Average speed measures the average rate of speed over the extent of a trip.

Can anyone explain alpha decay?
Explain beta decay




Answers

Explanation:

Beta decay

Radioactive decay

In nuclear physics, beta decay is a type of radioactive decay in which a beta particle is emitted from an atomic nucleus, transforming the original nuclide to an isobar of that nuclide

Answer:

In alpha decay, mass number of the nucleus decreases by 4 unit and atomic number is decreased by 2 unit. Alpha decay : ZAX→Z−2A−4Y+24He. When a parent nucleus emits an electron (beta particle) along with the daughter nucleus, then the nuclear reaction thus is called as beta decay.

A cheesemonger uses a Newton meter to measure the weight of a block of cheese. The cheese has a weight of 5.0 N. What is the mass of the cheese? A) 5.0 kg B)0.5 kg c)0.05 kg D)50 kg

Answers

Answer:B ,0.5

Explanation:M=w/g

M=5/10

M= 0.5kgkg

write the equation that links distance, force and work done??​

Answers

Answer:

[tex]{ \boxed{ \rm{workdone = force \times distance}}}[/tex]

Acceleration and Force
Calculate the average acceleration of a car that changes speed from 0 m/s to 15 m/s in 5 s.

Answers

Answer:

I'm pretty sure its 3m/s^2 for the acceleration but I don't know the force part sorry .

Explanation:

15m/s - 0m/s divided by 5 s = 3m/s

I'm no expert or anything so I could be wrong but this is the best I can give you. Sorry

ning
3:05
ools
The rock in the picture is pushed over the edge and it begins to fall. Which type of energy conversion is taking place?
A)
mechanical to heat
B)
sound to mechanical
potential to kinetic
D)
kinetic to potential

Answers

Answer:

As the rock falls from the edge of the cliff, gravitational potential energy is converted to mechanical kinetic energy.

Explanation:

hope this helped

Question 1 of 10
Thunderstorms require lots of moisture to form. What are two other
conditions that are required for thunderstorms to form?
A. High pressure
B. Rapidly changing winds
C. Quickly rising air
D D. Warm air

Answers

Answer:

warm air...

option "D"

hope it'll help you...

Answer:

D. Warm Air.............. is correct option.

If the pressure on a movable piston of a closed container is doubled, what will happen?.

Answers

If the pressure on a movable piston of a closed container is doubled, the volume of gas will decrease.

What is boyle's law?

Boyle's law states that if the temperature of a gas sample is constant, the volume of the sample will vary inversely as the pressure.  

This means an increase in pressure will lead to a decrease in volume, also a decrease in volume will lead to an increase in pressure.

Therefore, when the pressure on the piston is doubled, the gas moves downward in the piston until the pressure produced by the gas equals the pressure produced by the piston.  At this point, the volume of the gas will be reduced.

For more details on Boyle's law kindly check

https://brainly.com/question/24938688

When using the right-hand rule to determine the direction of the magnetic force on a charge, which part of the hand points in the direction of the magnetic field?.

Answers

The part of the hand that points in the direction of the magnetic field is the fore-finger.

Fleming's right hand rule

Fleming's right hand rule is used to determine the direction of induced current in a conductor moving in a magnetic field.

It states that when the thumb, middle finger and fore finger of the right hand are held at right-angles to each other, the fore finger represent the direction of the magnetic field, the thumb represents the direction of the force on the conductor, then the middle finger represents the direction of the induced current in the conductor.

Thus, the fore-finger points in the direction of the magnetic field.

So, the part of the hand that points in the direction of the magnetic field is the fore-finger.

Learn more about Fleming's right hand rule here:

https://brainly.com/question/15052370

150J of heat energy
are required to raise the
temperature of 100g block of metal by 5°c. What is the
specific heat capacity of the metal ?

Answers

Btu/(lb-°F) J/(g-°C i mean this is the correct answer

Answer:

0.300 J/(g*C)

Explanation:

Specific heat has a unit that describes the amount of heat (J) is required to raise a unit mass (g) by 1 degree temperature (C),  It should take the form of J/(g*C) if we stick with the metric units provided in the question.  Be aware that specific heat can be written in many different formats, all equivalent, but with differing measures.  Examples:

(BTU/kgC)

kJ/(mole*K)

J/(g*C)

and so on.  The specific heat for a material can be expressed in any of these formats.  There are all equivalent, just expressed with different units.

--------------

In this problem:  (150J)/[(100g)*(5C)] = 0.300 J/(g*C)

An accurate value of specific heat may be used for identification of the metal.  The closest I found is Barium (0.290 J/(g*C) and Zinc (0.388 J/(g*C)

Predict what would happen to the volume of a gas if the pressure on that gas were doubled and then the absolute temperature of that gas were doubled.

Answers

The new volume of the gas will remain the same.

Data obtained from the question Initial pressure (P₁) = PInitial temperature (T₁) = TInitial volume (V₁) = VNew pressure (P₂) = 2PNew temperature (T₂) = 2TNew Volume (V₂) =?

How to determine the new volume

The new volume of the gas can be obtained by using the combined gas equation as illustrated below:

P₁V₁ / T₁ = P₂V₂ / T₂

(PV) / T = (2P × V₂) / 2T

Cross multiply

T × 2P × V₂ = PV × 2T

2PT × V₂ = 2PVT

Divide both side by 2PT

V₂ = 2PVT / 2PT

V₂ = V

Thus, the new volume will remain the same

Learn more about gas laws:

https://brainly.com/question/6844441

how much energy is stored in the capacitor when it is aa fully charged

Answers

Answer:

0.5*10uF * 16*16 =0.0128

Explanation:

I have no explanation just like my soul.

4
ergy transfer is taking place?
A man is trying to move his washing machine into
the back of a removal van. The washing machine has
a weight of 650 N and the floor of the removal van is
0.80 metres above the ground (Figure 8.9).
a

Answers

Answer:

zerihun beyene

Explanation:

state its advantages

earth has a mass of 5,970,000,000,000,000,000,000,000 kg. How would scientists express this number in scientific notation.

Answers

Taking into account the definition of Scientific notation, the correct representation of 5,970,000,000,000,000,000,000,000 kg in scientific notation is 5.97×10²⁴ kg.

Scientific notation

Scientific notation is a quick way to represent a number using powers of base 10. This notation is used to be able to express very large or very small numbers very easily.

The numbers are written as a product:

a×10ⁿ

where:

a is a real number greater than or equal to 1 and less than 10, to which a decimal point is added after the first digit if it is a non-integer number.n = a whole number, which is called an exponent or an order of magnitude. Represents the number of times the point decimal is shifted. It is always an integer, positive if it is shifted to the left, negative if it is shifted to the right.

Scientific notation of 5,970,000,000,000,000,000,000,000 kg.

In this case, to write the number 5,970,000,000,000,000,000,000,000 kg in scientific notation, the following steps are performed:

The decimal point is moved to the left as many spaces until it reaches the right of the first digit. This number will be the value of a in the previous expression. Then a = 5.970,000,000,000,000,000,000,000 The base 10 is written with the exponent equal to the number of spaces that the decimal point moves. This is a positive number because the decimal point is shifted to the left, and it will have a value of n = 24.

So, the correct representation of 5,970,000,000,000,000,000,000,000 kg in scientific notation is 5.97×10²⁴ kg.

Learn more about scientific notation:

https://brainly.com/question/1199149

https://brainly.com/question/13518313

https://brainly.com/question/13526198

A car with a mass of 1. 2 × 103 kilograms starts from rest and attains a speed of 20 meters/second in 5 seconds. What net force acted on the car to cause that acceleration? A. 3. 0 × 102 newtons B. 6. 0 × 102 newtons C. 1. 2 × 103 newtons D. 4. 8 × 103 newtons E. 1. 2 × 104 newtons.

Answers

Answer:

The formula for force according to Newton's second law of motion is F=ma or force for an object to move is equal to mass times acceleration.

Acceleration or average acceleration defined as change in velocity per time.

F=ma

F=1.2x10³kg*(20m/s)(1/5s)=4.8x10³  Newtons

Explanation:

fthat's not the answer then i'm sorry

if magnesium has 13 neutrons, what is its mass for the isotope

Answers

Answer:

25 I'm pretty sure sorry if I'm wrong

What are the high points are called and what are the lower points called ?

Answers

Answer:

High Points = Crest
Low Points = Troughs

Explanation:

A shunt device that remains connected to the meter movement and thereby eliminates contact resistance problems is the _______________ shunt.

Answers

Ayrton shunt. Hope this helped :)

a fast car goes from 0 m per second to 40 meters per second in 2 seconds. what is the acceleration?

Answers

Answer:

20m per sec

Explanation:

40÷ 2 = 20 which is your acceleration per sec

Answer:

20 [tex]m/s^2[/tex]

Explanation:

[tex](40m/s)/2s = 20m/s^2[/tex]

A letter that describes the shape of a typical mountain valley:

The side of a stream: The bottom of a stream:

Answers

Given what we know, we can confirm that the letter V is often used to describe the typical shape of a mountain valley, while stream bank and stream bed described the side and bottom of a stream respectively.

What terms do we use to described streams?

As shown in the question, there are many ways to describe the different parts of a stream. The side of the stream is referred to as the bank of the stream, along its entire length, while the stream bed is a term used to describe the bottom.

Therefore, we can confirm that the letter V is often used to describe the typical shape of a mountain valley, while stream bank and stream bed described the side and bottom of a stream respectively.

To learn more about streams visit:

https://brainly.com/question/3477759?referrer=searchResults

United States citizens have many ways to participate in national life. The most common form of participation is?

Answers

Answer:

You would have to give better explanation on subject.

Explanation:

Marco is playing around with blurring what is behind and in front of the main subjects in his photographs. What kind of effect or feeling might this create? A. a sense of texture and contrast among the different elements B. an excess of tension and confusion with the different elements C. a line of perfect symmetry D. a monotonous and calming effect

Answers

Blurring the background and foreground of the main subjects in photographs can create a calming effect, option D.

In what type of photography is the technique of blurring is commonly used?

This technique is often used in portrait photography to make the subject stand out and appear more prominent. By blurring the surrounding elements, the viewer's focus is drawn towards the subject, creating a sense of serenity and isolation. This effect is particularly effective when the background and foreground are busy or distracting. However, it is important to note that the impact of this technique on the viewer can also depend on the specific composition and context of the photograph. Blurring the background and foreground is not likely to create a monotonous and calming effect (option D), as the blurred elements can still convey a sense of movement or depth, which can be visually engaging.

To know more about portrait photography, visit:

https://brainly.com/question/7238624

#SPJ1

HELP ASAP !!
A +2.0 C and a +2.0 C charge exert 0.10 N of force on each other. How much would a +2.0 C and a +4.0 C charge exert, if they were the same distance apart?

Answers

This question involves the concept of Colomb's Law and electrostatic force.

The electrostatic force will be "0.2 N".

COLOMB'S LAW:

According to Colomb's Law, every charge exerts an electrostatic force on the other charge, which is directly proportional to the product of the magnitudes of both the charges and inversely proportional to the square of the distance between them.

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

where,

F = electrostatic force k = Colomb's constant = 9 x 10⁹ N.m²/C²q₁ = magnitude of first chargeq₂ = magnitude of second charger = distance between charges

In case of +2 C charges:

q₁ = q₂ = 2 Cr = ?F = 0.1 N

Therefore,

[tex]0.1\ N = \frac{(9\ x\ 10^9\ N.m^2/C^2)(2\ C)(2\ C)}{r^2}\\\\r^2=\frac{(9\ x\ 10^9\ N.m^2/C^2)(2\ C)(2\ C)}{0.1\ N}\\\\r^2=3.6\ x\ 10^{11}\ m^2[/tex]

Now, for the second case:

F = ?q₁ = 2 Cq₂ = 4 Cr² = 3.6 x 10¹¹ m²

Therefore,

[tex]F=\frac{(9\ x\ 10^9\ N.m^2/C^2)(2\ C)(4\ C)}{3.6\ x\ 10^{11}\ m^2}[/tex]

F = 0.2 N

Learn more about Colomb's Law here:

https://brainly.com/question/9774180

Which of the following is a scientific question?
A. Which rowing boat hull design will meet Olympic specifications?
B. Which rowing boat hull design will sell the best?
Ο Ο O
C. Which rowing boat hull design will feel best to row?
D. Which rowing boat hull design will create the least drag?

Answers

D, all the others are opinions or something unrelated.

A monkey is chained to a stake in the ground. The stake is 3.12 m from a vertical pole, and the chain is 4.24 m long. How high can the monkey climb up the pole

Answers

Answer:

The hypotenuse is 3.68

3.682 = 2.852 + x2

14.8669 = 8.1225 + x2

6.7444 = x2

2.59699827 ≈ x

The monkey can climb about 2.6 feet up the pole

Explanation:

A person pushes a box. He applies a force of 400 newtons, and he pushes the box for adistance of 4 meters. After he stops pushing, the box slides forward another meter. How muchwork was done by the person?

Answers

Answer:

its however much he did before it slid another meter.

Explanation:

A horse is trotting along pulling a sleigh through the snow. To move the 225 kg sleigh straight ahead at a constant speed, the horse must pull with a force of 123N.

a. What is the net force acting on the sleigh?

b. What is the coefficient of kinetic friction between the sleigh and the snow?

Answers

Answer:

a) The net force acting on the sleigh is zero because it is moving at a constant speed.

b) [tex]F_{fr}= \mu mg = F_{pull}[/tex], then [tex]\mu = \frac{F_{pull}}{mg} = 0.0557[/tex].

The formation of the solar system from a huge cloud of dust and gases is called the.

Answers

The formation of the solar system from a huge cloud of dust and gases is called the solar nebula.
The answer is the solar nebula
Other Questions
help please i need it for my test tmr! What hands-on training program is required for doctors?a fellowshipa residencyan apprenticeshipa vocational college Which condition is usually associated with low air pressure systems?cloudy, wet weatherhot, dry weathercold, dry weatherclear, dry weather How much risk of heart attack if poor cardiovascular health. HELP ME PLZZZZ!!!!!! MY BROTHER WONT STOP ASKING SAVE MEEEEEEE1. Why did the colonists declare independence from English rule? Explain using two or more reasons2.What was important to the Founding Fathers? Name and describe three important principles that guided them. Then, tell which one is most important to you and why.3.Imagine that a political scientist in 1787 is researching whether the new U.S. government has been successful under the Articles of Confederation. He asks George Washington the following questions: In what ways is our new country a success? What changes would you like to make to the Articles of Confederation, and why? How do you think George Washington would have answered these two questions? Write down two or more ways George Washington might think the new United States is a success. Then, write down two or more changes he would like to make to the government and his reasons for those changes. Find the lowest common multiple (LCM) for 5 and 7 Which of the following processes add methane (CH4) to the atmosphere? Si te vieras desde mis ojos sabrias porque insisto tanto letra. I need help its my homework and it's due todayFind the base angles. please help with this its my last problem and im lost can you help me solve this please Which of the following is equivalent to 2i(6 7i)? (0 2i)(6 7i) (0 + 2i)(6 7i) (2 + i)(6 7i) (6 2i) (7i 2i) What is the equation that represents g(x)? Explain your reasoning.(picture of graph in file) How does the human eye interpret optical illusions. When the price of oranges increases, Jack buys more apples and fewer oranges. The decrease in the quantity demanded for oranges and the increase in the quantity demanded for apples is an example of the susan and joe push a table 18 meters down a hall by exerting a force of 200 newtons (n). what is the total amount of work done on the table? 1600 joules 1800 joules 2000 joules 3600 joules How does a 12-month lunar calendar differ from our 12-month solar calendar?. An object is moving in a straight line with a constant acceleration. Its position is measured at three different times, as shown in the table below.Time (s) 1 Position, (m)37.70 9.60039.30 18.04840.90 33.792Calculate the magnitude of the acceleration at t=39.30 Are words 'chaos' and 'order' synonyms or antonyms?. 4. Match each definition with the correct term. Definitions______shorter of two loops that make up the cardiovascular system______major function of the cardiovascular system______system comprised of the heart, blood vessels, and blood______longer of two loops that make up the cardiovascular system______fist-sized organ that pumps blood______tubular organ that carries blood______liquid connective tissue