A 100g mouse and an elephant want to find balance by sitting on a really long see-saw that is balanced at its center of mass. Of the 5000 kg elephant is sitting 0.75m away from the axis of rotation, how far away from the axis of rotation must the mouse sit

Answers

Answer 1

Answer:

3.75 km away

Explanation:

From the law of moments, clockwise moments = anticlockwise moment

So WL = wl where W = weight of elephant = Mg and M = mass of elephant = 5000 kg, L = distance of elephant from axis of rotation = 0.75 m, and w = weight of mouse = mg where m= mass of mouse = 100 g = 0.1 kg and l =  distance of mouse from axis of rotation = unknown and g = acceleration due to gravity.

So, MgL = mgl

ML = ml

l = ML/m

= 5000 kg × 0.75 m/0.1 kg

= 3750 kgm/0.1 kg

= 37500 m

= 3.75 km away


Related Questions

George burnt his fingertips so badly that he can't feel anything with them anymore.
Which part of his skin must have been damaged?

O papillary layer

Hypodermis

hyperdemis

subcutaneous layer

Answers

the part tht is mostly damaged is papillary

George burnt his fingertips so badly that he can't feel anything with them anymore, then the papillary layer part of his skin must have been damaged, therefore the correct answer is option A.

What is thermal energy?

It can be defined as the form of the energy in which heat is transferred from one body to another body due to their molecular movements, thermal energy is also known as heat energy.

As given in the problem George burnt his fingertips so badly that he can't feel anything with them anymore.

Option A is the appropriate response since George must have injured the papillary layer of his skin if his fingertips were burned so badly that he can no longer feel anything with them.

Learn more about thermal energy here, refer to the link given below ;

brainly.com/question/3022807

#SPJ2

An object moves with a positive acceleration. Could the object be moving with increasing speed, decreasing speed or constant speed

Answers

Answer:

Increasing speed.

Explanation:

In physics, acceleration can be defined as the rate of change of the velocity of an object with respect to time.

This simply means that, acceleration is given by the subtraction of initial velocity from the final velocity all over time.

Hence, if we subtract the initial velocity from the final velocity and divide that by the time, we can calculate an object’s acceleration.

Mathematically, acceleration is given by the equation;

[tex]Acceleration (a) = \frac{final \; velocity - initial \; velocity}{time}[/tex]

In this scenario, an object moves with a positive acceleration. Thus, the object is moving with an increasing speed and as such it has acceleration in the same direction as its velocity with respect to time.

In a chemical reaction, the mass of the reactants is 13,3 grams. Which of the
following could represent the mass of the products?

Answers

Answer:

my assuytyyhyyyyyy gftdrrdtiifyb tvhyvth rv b yy

what do you already know about asexual and sexual reproduction?

Answers

Answer:

Explanation:

Sexual reproduction is when a male and female have sexual inter course an and produce sex cells. A males sex cell is the sperm and the Females sex cell is the ova or egg cells.

the amount of power exerted by a machine that applies a force of 550 N over a distance of 10 m in a time of 5 seconds

Answers

Answer:

The meaning of work is a force that acts on an object and the object moves in respond and the meaning of power is how much work is done in a given amount of time. The two terms are related by is that power is the rate of doing work.

Explanation:

True or False: The speed of an object changes if the net work done on it is zero. ​

Answers

Answer:

false

Explanation:

If the net work done on an object is zero, it follows that its change in kinetic energy is also zero. Therefore, its speed remains the same.

I think the answer is false

(Are these statements about the spring constant true or
false?
a. The spring constant is a measure of the stiffness of
the spring.
b. The spring constant tells you how many newtons of
force it takes to stretch the spring one meter.
c. If a spring stretches easily, it will have a high spring
constant.
d. The spring constant of a spring varies with the
amount of stretch or compression of the spring.

Answers

Answer:

true

true

false

true

pls follow me and thank you

Convert 41.3 kilocalories into joules.

Answers

Explanation:

41.3 kilocalories = 172 799.2 joules

[tex]hope \: it \: will \: help[/tex]

A 105 kg football player runs at 8.5 m/s and plows into the back of an 85 kg referee running at 3.5 m/s on the field causing the referee to fly forward at 6.0 m/s.
What must the momentum of the football player be after the collision?

Answers

Answer:

680 Kg.m/s

Explanation:

Mass of player; m_p = 105 kg.

Speed of player before Collision; v_pi = 8.5 m/s

Mass of referee; m_r = 85 kg

Speed of referee before collision; v_ri = 3.5 m/s

Speed of referee after collision; v_rf = 6 m/s

From conservation of momentum,

Initial momentum = final momentum

Thus;

(m_p × v_pi) + (m_r × v_ri) = (m_p × v_pf) + (m_r × v_rf)

Where (m_p × v_pf) is the momentum of the player after collision.

Thus, Plugging in the relevant values, we have;

(105 × 8.5) + (85 × 3.5) = (m_p × v_pf) + (85 × 6)

(m_p × v_pf) = (105 × 8.5) + (85 × 3.5) - (85 × 6)

(m_p × v_pf) = 680 Kg.m/s

prove principle of conversation of linear momentum in accordance to principle of classical relativity ​

Answers

Answer:

Cuz im batman hahahhahah

Conservation of linear momentum, general law of physics according to which the quantity called momentum that characterizes motion never changes in an isolated collection of objects; that is, the total momentum of a system remains constant. Momentum is equal to the mass of an object multiplied by its velocity and is equivalent to the force required to bring the object to a stop in a unit length of time. For any array of several objects, the total momentum is the sum of the individual momenta. There is a peculiarity, however, in that momentum is a vector, involving both the direction and the magnitude of motion, so that the momenta of objects going in opposite directions can cancel to yield an overall sum of zero.

What is calibration of thermometer?​

Answers

Answer:

HACCP based food safety programs require accurate record keeping to be successful. Temperature is often the parameter of interest when monitoring a critical control point (CCP). ... To be considered accurate, a thermometer must be calibrated to measure within +/- 2° F (1.1° C) of the actual temperature.

Explanation:

What does the law of conservation of energy state? *

1. Total energy before transfer is equal to total energy after transfer

2. Total energy before transfer is less than total energy after transfer

3. Total energy before transfer is more than total energy after transfer​

Answers

Answer:

total energy before transfer is equal to total energy after transfer

Answer:

1 is the correct one Answer

Match each term with the appropriate definition​

Answers

Answer:

opaque = 4

malleable = 3

ductile = 2

lustrous (or whatever the bottom word is) = 1

Answer:screenshot

Explanation:

What percentage of the acceleration at Earth's surface is the acceleration due to gravity at the position of a satellite located 489 km above Earth

Answers

Answer:

Explanation:

The formula for variation in the value of g due to height h is given by the following relation .

g₁ = g₀ ( 1 - h / R )

g₁ and  g₀ are value of acceleration due to gravity at height h from surface and at surface and  R is radius of the earth .

R = 6370 km , h = 489 km ( given )

g₁ = g₀ ( 1 - 489 / 6370 )

= .923 g₀

g₁ in percent terms = .923 x 100

= 92.3 % .

g Observer A, who is at rest in the laboratory, is studying a particle that is moving through the laboratory at a speed of 0.624c and determines its lifetime to be 159 ns. (a) Observer A places markers in the laboratory at the locations where the particle is produced and where it decays. How far apart are those markers in the laboratory

Answers

Answer:

[tex]D=29.7648m[/tex]

Explanation:

From the question we are told that

Speed of the particle[tex]V=0.624c[/tex]

Lifetime [tex]t=159ns[/tex]

Generally the equation for distance is mathematically given by

[tex]D=Vt[/tex]

[tex]D=0.624c*159*10^-^9[/tex]

[tex]D=0.624*3*10^8*159*10^-^9[/tex]

[tex]D=29.7648m[/tex]

Therefore the markers are [tex]D=29.7648m[/tex] apart

Please help! Will give a lot of points

Answers

Answer:

Chemical and Biological weathering.

Explanation:

Processes that break down and weaken earth minerals are known as weathering. Over time, this can lead to erosion, in which huge sections of rock and stone are carried away, changing landscapes. Physical weathering alters the material structure of rocks, while chemical weathering alters their chemical structure.

Determine the maximum velocity and maximum acceleration of a particle which moves in simple harmonic motion with an amplitude of 0.2 in and a period of 0.1 s.

Answers

Answer:

The maximum velocity and maximum acceleration of the particle are approximately 12.566 inches per second and 789.568 inches per square second.

Explanation:

The equation of motion for the position of a particle experimentating a simple harmonic motion ([tex]x(t)[/tex]), measured in inches, is described by the following expression:

[tex]x(t) = A\cdot \cos \left(\frac{2\pi\cdot t}{T} +\phi\right)[/tex] (1)

Where:

[tex]A[/tex] - Amplitude, measured in inches.

[tex]t[/tex] - Time, measured in seconds.

[tex]T[/tex] - Period, measured in seconds.

[tex]\phi[/tex] - Phase, measured in radians.

Then, we obtain the formulas for the velocity and acceleration of the particle by differentiating (1):

[tex]v(t) = -\frac{2\pi\cdot A}{T}\cdot \sin \left(\frac{2\pi\cdot t}{T}+\phi \right)[/tex] (2)

[tex]a(t) = -\left(\frac{2\pi}{T} \right)^{2}\cdot A\cdot \cos \left(\frac{2\pi\cdot t}{T}+\phi \right)[/tex] (3)

From (2) and (3) we find that maximum velocity ([tex]v_{max}[/tex]), measured in inches per second, and maximum acceleration ([tex]a_{max}[/tex]), measured in inches per square second, are defined by the following formulas:

[tex]v_{max} = \frac{2\pi\cdot A}{T}[/tex] (4)

[tex]a_{max} = \left(\frac{2\pi}{T} \right)^{2}\cdot A[/tex] (5)

If we know that [tex]A = 0.2\,in[/tex] and [tex]T = 0.1\,s[/tex], then the maximum velocity and maximum acceleration of the particle are, respectively:

[tex]v_{max} = \frac{2\pi\cdot (0.2\,in)}{0.1\,s}[/tex]

[tex]v_{max} \approx 12.566\,\frac{in}{s}[/tex]

[tex]a_{max} = \left(\frac{2\pi}{0.1\,s} \right)^{2}\cdot (0.2\,in)[/tex]

[tex]a_{max} \approx 789.568\,\frac{in}{s^{2}}[/tex]

The maximum velocity and maximum acceleration of the particle are approximately 12.566 inches per second and 789.568 inches per square second.

When an object executes a to and fro motion is said to be a simple harmonic motion. The maximum velocity and maximum acceleration of the particle will be 12.566 in/s and 789.568  in/s².

What is simple harmonic motion?

When an object executes a to and fro motion in the definite plane when it is tied with the string. The type of motion will be the simple harmonic motion.

Simple harmonic motion is a form of periodic motion in mechanics and physics in which the restoring force on the moving item is directly proportional to the size of the object.

The value of maximum velocity is given by the formula in the SHM motion is

[tex]\rm V_{max = \frac{2\pi A}{T}[/tex]

[tex]\rm V_{max} = \frac{2\times 3.14 \times 0.2 }{0.1}[/tex]

[tex]\rm V_{max = 12.566 \;in/sec[/tex]

The value of maximum acceleration is given by the formula in the SHM motion is

[tex]\rm a_{max}=(\frac{2\pi}{T} )^2.A\\\\ \rm a_{max}=(\frac{2\times 3.14 }{0.1} )^2 \times 0.2 \\\\ \rm a_{max}=789.568\; in/sec^2[/tex]

Hence the maximum velocity and maximum acceleration of the particle will be 12.566 in/s and 789.568  in/s²

To learn more about the simple harmonic motion refer to thr link;

https://brainly.com/question/17315536

A speedboat moving at 29.0 m/s approaches a no-wake buoy marker 100 m ahead. The pilot slows the boat with a constant acceleration of -3.4 m/s2 by reducing the throttle. (a) How long does it take the boat to reach the buoy

Answers

Answer:

[tex]t =4.8sec[/tex]

Explanation:

From the question we are told that

Velocity of speed boat [tex]V=29.0m/s[/tex]

Distance to Marker [tex]d=100[/tex]

Acceleration of [tex]a=-3.4m/s^2[/tex]

Generally the Newtons 3rd motion equation is given as

 [tex]v^2 = u^2 + 2 * a* s[/tex]

 [tex]v^2 = 29^2 + 2 * -3.4* 100[/tex]

 [tex]v = \sqrt{161}[/tex]

 [tex]v=12.68m/s[/tex]

Generally the Newton's first equation of motion is given as

 [tex]v = u + a*t[/tex]

 [tex]12.68 = 29 -3.4*t[/tex]

 [tex]12.68-29 = -3.4t[/tex]

 [tex]-16.32 = -3.4t[/tex]

 [tex]t =\frac{-16.32}{-3.4}[/tex]

 [tex]t =4.8sec[/tex] .

Which term is the product of force and distance? power work net force acceleration please help

Answers

Answer: WORK

Explanation:

Answer:

work

Explanation:

got it right on edge:p

An electric heater is 90% efficient. How much useful energy is produced from 8000 J?

Answers

Answer:

7200J

Explanation:

you have to find 90 percent of 8000 J to find total efficiency

Sam is driving along the highway towards Savannah. He travels 150 m in 3 seconds. What is his speed

Answers

Answer:

50m/s

Explanation:

Speed = distance/ time

Distance = 150m

Time = 3 secs

Therefore Speed =150/3

Speed = 50 m/s

During an automobile crash test, the average force exerted by a solid wall on a 1,700 kg car that hits the wall is measured to be 170,000 N over a 0.14 s time interval. What was the initial speed of the car (in m/s) prior to the collision, assuming the car is at rest at the end of the time interval

Answers

Answer:

14 m/s

Explanation:

Step One:

Given data:

mass of automobile m= 1700kg

Force F= 170,000 N

time t= 0.14s

v= ??

Required

The velocity of the car

Step two:

From the expression given below, we can find the velocity

Ft= mv

make v subject of the formula

v= Ft/m

v= 170000*0.14/1700

v=23800/1700

v=14 m/s

A small block with mass 0.0425 kg slides in a vertical circle of radius 0.525 m on the inside of a circular track. During one of the revolutions of the block, when the block is at the bottom of its path, point A, the magnitude of the normal force exerted on the block by the track has magnitude 4.05 N. In this same revolution, when the block reaches the top of its path, point B, the magnitude of the normal force exerted on the block has magnitude 0.660 N.

Required:
How much work was done on the block by friction during the motion of the block from point A to point B?

Answers

Answer:

[tex]W=-0.501075J \approx -0.5J[/tex]

Explanation:

From the question we are told that

Mass of block [tex]M=0.425kg[/tex]

Radius of circle [tex]r=0.525m[/tex]

Force  of track [tex]F_t=4.05N[/tex]

Normal Force on block[tex]F_n=0.660[/tex]

Generally the equation for Velocity of block is mathematically Given by the law of conservation of energy

[tex]4.05=(0.425kg*9.8)+(0.425kg*v^2)/0.525[/tex]

[tex]v=\sqrt{\frac{0.525*(4.05-(0.0425*9.8)}{0.0425} }[/tex]

[tex]V=-6.69 \approx 7m/s[/tex]

For initial velocity

0.660 = 0.0425 x u^2/0.525 - 0.0425 x 9.8

[tex]v=\sqrt{0.525*\frac{(0.660+(0.0425*9.8)}{0.0425} }[/tex]

[tex]V=-3.646 \approx 4m/s[/tex]

Generally the equation for work done is mathematically Given by

[tex]Wf=(0.5mu^2 - 0.5mv^2) -mg(2R)[/tex]

[tex]Wf=(0.5(0.0425)(4) - 0.5(0.0425)(7) -(0.0425)(9.8)(2*0.525)[/tex]

[tex]W=-0.501075J \approx -0.5J[/tex]

How many years does it take for the number of americium-241 nuclei to decrease
from 10 000 to 5000?
Time =
years=

Answers

Answer:

432 years

Explanation:

the half life of americium-241 is approx. 432 years, and the half life means the time it takes for half of the atoms to decay. hope this helps!

Mass is:

A.how much an object weighs


B.everything around you


C.how much matter is in an object


D.the state of matter such a as solid liquid or gas

Answers

Answer:

C-How much matter is in an object

Explanation:

If force c is 30n and force d us 20 N what is the size of the horizontal force

Answers

Horizontal force is 10
Hope this helped

NEED Answer asap plz!!

Answers

Answer:

I think a is the right not clear but

A 1250-kg car moves at 20.0 m/s. How much work must be done on the car to increase its speed to 30.0 m/s.

Answers

Answer:

312,497.5Joules

Explanation:

Work done = force × distance

W = FS

Get the force

F = ma

F = 1250×9.8

F = 12250N

Get the distances using the equation of motion

v² = u² +2gS

30² =20²+2(9.8)S

900 =400+19.6S

900-400 =19.6S

500 = 19.6S

S = 500/19.6

S = 25.51m

Get the work done

Work done = 12250×25.51

Workdone = 312,497.5Joules

Answer:

3.13 x 10^5 J

Explanation:

The work done increases the car's kinetic energy so that its new speed is 30 m/s. So, we set t, the net work required to increase the car's speed equal to the change in the car's kinetic energy.

Wnet = △K = Kf - Ki = 1/2mvf^2 - 1/2mvi^2 = 1/2m(vf^2-vi^2) = 1/2(1250kg)((30m/s)^2 - (20m/s)^2) = 3.13x10^5 J

A small mass is released from rest at a very great distance from a larger stationary mass. Draw a graphs best represents the gravitational potential energy U of the system of the two masses as a function of time T.

Answers

Answer:

attached below

Explanation:

Gravitational potential

energy = [tex]- \frac{GmM}{r}[/tex] ,

V ∝ [tex]- \frac{1}{r}[/tex]  

attached below is a graph that represents the gravitational potential energy U

Gravitational potential energy is the energy held in an entity as a result of its vertical position or length. This gravitational pull of a planet on an object causes the information to be stored.

This is connected with gravitational pull since it takes work to lift anything against the gravity of the Earth.

Freshwater in a raised lake or kept behind a dam demonstrates gravitational force.

According to the formula:

Gravitational potential energy [tex]\bold{=-\frac{GMm}{r^2}}[/tex]

Therefore

[tex]\to \bold{V \propto -\frac{1}{r}}[/tex]

Therefore, the answer is "Option d"

Learn more about the Gravitational potential :

brainly.com/question/17001724

An electron traverses a vacuum tube with a length of 2 m in 2 X 10- 4
sec. What is the average speed of the
electron during this time?

Answers

Answer:

Average speed = 10,000 m/s

Explanation:

Given the following data;

Distance = 2m

Time = 0.0002secs

To find the average speed;

Average speed = distance/time

Average speed = 2/0.0002

Average speed = 10,000 m/s

Therefore, the average speed of the

electron is 10,000 meters per seconds.

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