A meter stick is found to balance at the 49.7-cm mark when placed on a fulcrum. When a 41.5-gram mass is attached at the 28.5-cm mark, the fulcrum must be moved to the 39.2-cm mark for balance. What is the mass of the meter stick

Answers

Answer 1

Answer:

The value is  [tex]M = 42.3 \ kg[/tex]

Explanation:

From the question we are told that

    The first  position of the fulcrum  is  x = 49.7 cm

    The mass  attached is [tex]m = 41.5 \ g[/tex]

    The position of the attachment is  [tex]x_1 = 28.5 \ cm[/tex]  

    The second position of the fulcrum is  [tex]x_2 = 39.2 \ cm[/tex]

Generally the sum of clockwise torque =  sum of anti - clockwise torque

So  

       [tex]CWT = m (x_2 - x_1)[/tex]

Here CWT  stands for clockwise torque

       [tex]ACWT = M ( x - x_2)[/tex]

So

      [tex]m (x_2 - x_1) = M ( x - x_2)[/tex]

=>   [tex]41.5 (39.2 - 28.5 ) = M ( 49.7 -39.2 )[/tex]

=>    [tex]M = 42.3 \ kg[/tex]


Related Questions

The magnitude of vector vector A is 84.9 m and it points in the +y axis direction. The magnitude of vector vector B is 195.0 m and it points at an angle of 41.0° counterclockwise from +x axis. The magnitude of vector vector C is 126.2 m and it points in the +x axis direction.

Answers

Solution:

The magnitude of A vector is 84.9 m in the positive y-axis direction.

So the X component of A =0

     the Y component of A = 84.9 m

Now the magnitude of B vector is 195 m and it makes an angle of 41° in the direction from the positive x-axis direction.

So  the X component of B = B cos 41°

                                           = 195 x cos 41°

                                           = 195 x 0.75   = 146.25 m

   the Y component of B = B sin 41°

                                           = 195 x sin 41°

                                           = 195 x 0.65   = 126.75 m

Now it is given that vector C has a magnitude of 126.2 m and it makes a direction towards the positive x-axis.

So the X component of C =126.2 m

     the Y component of C = 0

Comparing all these, we get

1. B vector has the largest X component

2. B vector has the largest Y component

why is physics to study the heat absorbed by the ocean​

Answers

Answer:

Heat is a source of energy

Explanation:

Just took the test


When the net force on an object is zero, what do we know about the motion of that object

Answers

Answer:

The objects speed or motion does not change if the net force is 0.

Explanation: There basically doesn't have anything acting on it so it stays put.

An 80.0kg person is standing on a scale in an elevator accelerating downward at 4.0m/s^2. What is the reading on the scale to the nearest newton?

Answers

Answer:

320 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 we have

force = 80 × 4

We have the final answer as

320 N

Hope this helps you

A skier skids to a stop at the bottom of a mountain.
What is the equal and opposite force for the force of the skier's friction pushing on the mountain as
described by Newton's third law?

Answers

Answer:

Friction of the mountain on the skier in the opposite direction

Explanation:

answered it on khan academy

Friction of the mountain on the skier in the opposite direction.

What is Newton's  third law?

A force is a push or a pull that acts upon an object as a results of its interaction with another object. Forces result from interactions.

Forces result from contact interactions (normal, frictional, tensional, and applied forces are examples of contact forces) and other forces are the result of action-at-a-distance interactions (gravitational, electrical, and magnetic forces).

There are two forces resulting from this interaction - a force on the chair and a force on your body. These two forces are called action and reaction forces and are the subject of Newton's third law of motion.

Therefore, Friction of the mountain on the skier in the opposite direction.

To learn more about Friction, refer to the link:

https://brainly.com/question/13000653

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I have to make three videos for physics about Newton's three laws of motion but I don't want to be in the videos or talk in them. Any ideas on how I could do that?

Answers

Answer:

You should face your fears sometimes, and get in front of a crowd do present your ideas. Not everyone is good at it, and many people get anxious when they have to speak in front of people but it’s best if you just do it and get it over with and maybe it won’t be as intimidating next time :)

An electrically charged atom is called an

Answers

Answer:

It's called an ion. Excuse me if I'm wrong.

Explanation:

Electrically charged atoms are called ions

Explication- positive ions are called cations and negative ions are called anions. Atoms have two types of charged particles protons have a positive charge and are found in nucleus Electrons have a negative charge and are found outside the nucleus.

Hope this helps

a beaker weighs 0.4N when empty and1.4N when filled with water what does ot weigh when filled with brine of density 1.2 g/cm3

Answers

Answer: 1.6 N

Explanation:

The weight of an object is calculated as:

W = g*m

where:

g = gravitational acceleration = 9.8m/s^2

m = mass of the object.

We also know that:

mass = density*volume.

or:

m = d*v

Let's start:

The weight of the beaker is 0.4N

And the weight of the beaker filled with water is 1.4N

Then the weight of the water alone will be:

1.4N - 0.4N = 1N = (d*v)*9.8m/s^2

And we know that the density of the water is:

1 g/cm^3

But we are working with Newtons, then we need to rewrite this with kilograms as the mass unit, we can use that:

1000g = 1kg

Now we can rewrite the density as:

d = 1 g/cm^3 = 1*(1/1000) kg/cm^3 = 0.001 kg/cm^3

Replacing that in the above equation, we get:

With this, we can find the volume that the water occupies.

W = 1 N = v* 0.001 kg/cm^3*9.8m/s^2

       1 N /( 0.001 kg/cm^3*9.8m/s^2 ) = 102.04 cm^3.

Now, when we fill it with a brine with a density of 1.2 g/cm^3, the mass of this brine in a volume of  102.04 cm^3 be:

M = (1.2 g/cm^3)*( 102.04 cm^3) = 122.448 g

Rewriting this in kg we get:

M = 122.448 g = (122.448/1000) kg = 0.122448 kg

Then the weight of this brine is:

M = 0.122448 kg*9.8m/s^2 = 1.2 N

And the beaker weighs 0.4N, then the beaker filled with this brine will weight:

1.2 N + 0.4N = 1.6 N

I need help with science​

Answers

Answer:

saaaaame

Explanation:

what is the meaning of habitat​

Answers

Answer: In ecology, habitat identifies as the array of resources, physical and biotic factors, present in an area that allow the survival and reproduction of a particular species. A species habitat can be seen as the physical manifestation of its ecological niche.

Explanation:

1. A student notices that wearing darker colors in sunlight makes him feel warmer, so he decides to conduct an experiment. He takes five pieces of different-colored cloth and wraps
each one around a water bottle. He then places all five bottles in direct sunlight and measures the temperature of the water in each bottle an hour later.
What should be kept constant throughout this experiment?
O the color of the cloth
O the temperature of the water
the amount of water in each bottle
O the temperature of the outside air

Answers

Answer: the color of the cloth

Explanation:

liquids that do not mix form into layers when they have_ densities

Answers

Answer:

different

Explanation:

the acceleration due to gravity of the moon is 1.67

Answers

Answer:

I think it's 1.625 m/s2

If clouds were made of cotton-candy what is rain

Answers

Answer:

If clouds were made of cotton candy, I think rain would be soda.

Or liquified sugar.

:)

Answer:

Liquid Sugar

Explanation:

For an example, let's look at normal clouds. They're made of water vapor, and when they rain it's because the water vapor condenses and forms a droplet heavy enough that it falls out of the sky. In both sides of the equation, they're still made out of water. So, logically, cotton candy is made almost 100% with sugar, right? All that's happened is the sugar is heated and liquified and pushed through very small holes until they cluster together and form the fluffy treat you know today. Back to the leading question, though: "If clouds were made of cotton-candy, what is rain?". Rain is the liquid form of clouds (gas), and cotton candy is the (solid) form of itself. So in order for it to rain, it needs to liquefy itself. When melted at 367°F, sugar becomes a liquid, so in that case THAT is what cotton candy would rain if it were a cloud.

≧◡≦

Mocha here! If this answer helped you, please consider giving it brainliest because I would appreciate it greatly. Have a wonderful day!

What happens when the falling object reaches its terminal velocity? It will stop _________
and fall at a constant rate of _____________. Terminal velocity means an object is no longer in free fall and travels at a constant rate of _______________.

fill in the blanks and I will give you brianestest!(Can't spell)PLZZZZ
!

Answers

Answer:

LOL i don't even know

Explanation:

A race car makes one lap around a track with a radius of 41 meters in 8 seconds. What is the velocity?

Answers

Answer:

31.21 m/s

Explanation:

radius=41m

time = 8 sec

circumference=2πr

from formula

circumference=2×22/7×41

=257.71m

now

velocity=total distance( circumference)/total time

=257.71/8

= 32.21m/s

The velocity of race car makes one lap around a track with a radius of 41 meters in 8 seconds is 32.19 m/s

What is velocity ?

Velocity is "rate of change of displacement with respect to time".

i.e. v= dx/dt

it is also defined as displacement over time. i.e. v=Displacement/Time.

Velocity shows how much distance can be covered in unit time. It's SI unit is m/s. It is vector quantity ( having both direction as well as momentum). where displacement is distance from mean position.

Given,

Radius of the track r= 41m

time taken by car to complete one lap T = 8s

velocity v = ?

we know that ω = 2π÷T

ω = 2×3.14 ÷ 8

ω = 0.785 rad/s

v=rω

v= 41×0.785

v= 32.185 ≅32.19 m/s

Hence velocity of the car is 32.19 m/s

To know more about velocity, click :

https://brainly.com/question/17127206

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Using the statistical definition of entropy, what is the entropy of a system where W = 4?

A. 1.87 × 10–23 joules/kelvin

B. 1.56 × 10–23 joules/kelvin

C. 1.91 × 10–23 joules/kelvin

D. 2.07 × 10–23 joules/kelvin

Answers

Answer: S = 1.91x10^(-23) J/K

Explanation:

The statistical definition of entropy says that:

S = k*Ln(W)

where:

W is the number of macrostates, in this case W = 4.

k is a constant:

k = 1.38x10^(-23) J/K

then the entropy of this system will be:

S = (1.38x10^(-23) J/K)*ln(4) = 1.91x10^(-23) J/K

Then the correct option is C.

Answer:

C. 1.91 × 10–23 joules/kelvin

can i be marked brainiest, please? Explanation:

Which best defines gravity?

A. The tendency of objects to fall from trees

B. An attractive force between two objects due to their mass

C. The amount of matter in an object

D. The rate at which objects fall to earth

Answers

Answer:

B. An attractive force between two objects due to their mass

Explanation:

Answer:

B

Explanation:

Gravity is a force that pulls 2 objects towards each other and varies depending on mass. The earth for example is large enough to have a gravitational force that keeps us down. The sun has a gravitational force that keeps the Earth in orbit.

pls help me with this

Answers

Answer:

A screw

Explanation:

Answer:
Screw
Explanation :
I hope it helps !

help me with this please :((

Answers

Answer:

huh?

Explanation:

State two devices that transfer heat out of a cool environment into a warm environment​

Answers

Answer:

Heat pump

Refrigerators

Explanation:

Some devices like heat pump and refrigerators used transfers of thermal energy in a cool region to warm other region.

These types of devices used for transferring heat energy by thermal conduction method.


Which diagram best shows the results of removing heat from the original sample until it freezes?

Answers

Answer:

b

Explanation:

the closest molecules are in b witch would be a solid

4. Bob creates his personal profile collage by drawing his favorite things. This is his ___________.

A. artistic self
B. social self
C. professional self
D. private self

Answers

Artistic self because it says by drawing his favorite things hope this helps
A. Kdkdjdhshshdhdhdhd

I dropped the ball from the roof of a building the speed when I hit the ground is 52 m/s how tall is the building

Answers

Answer:

Height of building = 135.2 m

A student attaches a block to a force sensor and pulls it across a frictionless table. The sensor measures the block's acceleration What type of mass does the student measure ?
a. gravitational mass
b. inertial mass
c. neither

Answers

Answer:Inertial mass

Explanation:When we measure gravitational mass we find the strength of an object's interaction with a gravitational field.

When we measure inertial mass we find an object's resistance to being accelerated by a force.

An object's gravitational mass and inertial mass are the same.

We apply a force and measure the resulting acceleration, so we can use Newton’s second law to find the inertial mass.

Explain why different types of musical instruments sound different, even though they play the same notes.

Answers

each musical instrument is build differently which allows it to portray a different sound kinda like humans with their voices

An object that falls and accelerates solely as a result of gravity is said to be in
(2 points)
A. terminal velocity
B. free fall
C. air resistance
D. terminal acceleration

Answers

I think the answer is c

The slope of a position-time graph can be used to find the moving obiects

Answers

Answer:

Is this a true and false statement?

Explanation:

If 200 ml of a gas at 27 degrees celsius is cooled to -33 degrees Celsius at a constant pressure , the volume will be
A 250ml
B 204ml
C 196ml
D 160ml

Answers

Given that,

Volume of gas, V₁ = 200 mL

Initial temperature, T₁ = 27°C

Final temperature, T₂ = -33°C

To find,

New volume of the gas.

Solution,

Initial temperature, T₁ = 27°C = 300 K

Final temperature, T₂ = -33°C = 240 K

Let V₂ is the new volume.

The relation between volume and temperature is given by :

[tex]\dfrac{V_1}{T_1}=\dfrac{V_2}{T_2}\\\\V_2=\dfrac{V_1T_2}{T_1}\\\\=\dfrac{200\times 240}{300}\\\\=160\ mL[/tex]

Hence, the volume will be 160 mL.

can you answer the b. thanks

Answers

Answer:

current going into a junction in a circuit is EQUAL TO the current comming out of the junction.

Explanation:

Krichhoff's Current Law

Kirchhoff's current law (1st Law) states that current flowing into a node (or a junction) must be equal to current flowing out of it.

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