Course hero N4M.6 A board has one end wedged under a rock having a mass of 380 kg and is supported by another rock that touches the bottom side of the board at a point 85 cm from the end under the rock. The board is 4.5 m long, has a mass of about 22 kg, and projects essentially horizontally out over a river. Is it safe for an adult with a mass of 62 kg to stand at the unsupported end of the board

Answers

Answer 1

Answer:

Therefore it is save to carry a 62kg adult

Explanation:

From the question we are told that:

Mass [tex]m=380kg[/tex]

Height of supporting Rock [tex]X=85cm[/tex]

Length of Board[tex]L_r=4.5m[/tex]

Mass of board [tex]M_b=22kg[/tex]

Mass of adult [tex]M_a=62[/tex]  

Generally the moment of balance about wedge part about  is mathematically given by

[tex]N -Q + R = Mg + mg[/tex]

[tex]0.85*N - Mg*2.25 - mg*(2.25 + x) = 0[/tex]

[tex]0.85*N = + Mg*2.25 + mg*(2.25 + x)[/tex]

where

[tex]N+R=4547[/tex]

therefore

[tex]N = 570.70588 + 1608.3529 + 714.823 x[/tex]

if N=0 at fallen person

[tex]x=3.04m[/tex]

Therefore it is save to carry a 62kg adult


Related Questions

A light bulb has a resistance of 360 . What is the current in the bulb when it has a potential difference of 120 V across it? 0.33 A 3 A 480 A 43,200 A

Answers

Answer:

I=R×V

360×120 V

=43,200 A

Answer:

A.)0.33 A

Explanation:

i just took the quiz 2021

ian pushed a piano across the room with the correct amount of force. Which of newton’s laws is this?
Newton’s 1st, 2nd, 3rd, or 1st and 2nd law?

Answers

Answer:

1st and 2nd

Explanation:

The function ​s(t)=−t3+3t+3 gives the distance from a starting point at time t of a particle moving along a line. Find the velocity and acceleration functions. Then find the velocity and acceleration at t=0 and t=1. Assume that time is measured in seconds and distance is measured in centimeters. Velocity will be in centimeters per second​ (cm/sec) and acceleration in centimeters per second per second ​(cm/sec2​).

Answers

Answer:

v(t)=3t²+3, and a(t)=6t

v(0)=3cm/sec, and a(0)=0cm/sec²

v(1)=6cm/sec, and a(1)=6cm/sec²

Explanation:

Find velocity and acceleration functions ( v(t) and a(t) )

(Relevant background: Let's say f(t) is a function of y with respect to x. Think of the derivative of this function, f'(t) , as representing the rate at which y changes with respect to x)

s(t) is a function of distance with respect to time. Therefore, s'(t) - the derivative of this - represents the rate at which distance changes with time, which is just the definition of velocity. So we can say velocity v(t) = s'(t).

s(t)=t³+3t+3

s'(t)=v(t)=3t²+3

Similarly, if v(t) is a function of speed with respect to time, then v'(t) represents the rate at which speed changes with time, which is acceleration. So we can say that acceleration a(t)=v'(t)=s''(t)

v(t)=3t²+3

v'(t)=a(t)=6t

Find velocity and acceleration at t=0 and t=1

t=0

v(t)=3t²+3

v(0)=3(0²)+3

v(0)=3 cm/sec

a(t)=6t

a(0)=6(0)

a(0)=0 cm/sec²

t=1

v(t)=3t²+3

v(1)=3(1²)+3

v(1)=3+3

v(t)=6 cm/sec

a(t)=6t

a(1)=6(1)

a(1)=6 cm/sec²

The function ​s(t)=−t3+3t+3 gives the distance from a starting point at time t of a particle moving along a line.

v(t)=3t²+3, and a(t)=6t

v(0)=3cm/sec, and a(0)=0cm/sec²

v(1)=6cm/sec, and a(1)=6cm/sec²

What is velocity and acceleration functions ( v(t) and a(t)?

Relevant background: Let's say f(t) is a function of y with respect to x. Think of the derivative of this function, f'(t) , as representing the rate at which y changes with respect to x.

s(t) is a function of distance with respect to time. Therefore, s'(t) - the derivative of this - represents the rate at which distance changes with time, which is just the definition of velocity. So we can say velocity v(t) = s'(t).

s(t)=t³+3t+3

s'(t)=v(t)=3t²+3

Similarly, if v(t) is a function of speed with respect to time, then v'(t) represents the rate at which speed changes with time, which is acceleration. So we can say that acceleration a(t)=v'(t)=s''(t)

v(t)=3t²+3

v'(t)=a(t)=6t

Find velocity and acceleration at t=0 and t=1

t=0

v(t)=3t²+3

v(0)=3(0²)+3

v(0)=3 cm/sec

a(t)=6t

a(0)=6(0)

a(0)=0 cm/sec²

t=1

v(t)=3t²+3

v(1)=3(1²)+3

v(1)=3+3

v(t)=6 cm/sec

a(t)=6t

a(1)=6(1)

a(1)=6 cm/sec²

Therefore, The function ​s(t)=−t3+3t+3 gives the distance from a starting point at time t of a particle moving along a line.

v(t)=3t²+3, and a(t)=6t

v(0)=3cm/sec, and a(0)=0cm/sec²

v(1)=6cm/sec, and a(1)=6cm/sec²

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Tameika makes a table about sensory organs

Eye
skin
brain
tongue
Which organ should be removed from the table?
A. eye
B. skin
C. brain
D. tongue

Answers

Answer:

I think its d

Explanation:

I'm not sure I'm sorry if I'm wrong

A fisherman notices that his boat is moving up and down periodically without any horizontal motion, owing to waves on the surface of the water. It takes a time of 3.00 s for the boat to travel from its highest point to its lowest, a total distance of 0.700 m . The fisherman sees that the wave crests are spaced a horizontal distance of 5.50 m apart.

Required:
a. How fast are the waves traveling?
b. What is the amplitude of each wave?
c. If the total vertical distance traveled by the boat were 0.500 , but the other data remained the same, how fast are the waves traveling ?
d. If the total vertical distance traveled by the boat were 0.500 , but the other data remained the same, what is the amplitude of each wave?

Answers

Answer:

a)   v = 0.9167 m / s,  b)  A = 0.350 m,  c)  v = 0.9167 m / s, d)  A = 0.250 m

Explanation:

a) to find the velocity of the wave let us use the relation

          v = λ f

the wavelength is the length that is needed for a complete wave, in this case x = 5.50 m corresponds to a wavelength

           λ = x

           λ = x

the period is the time for the wave to repeat itself, in this case t = 3.00 s corresponds to half a period

          T / 2 = t

           T = 2t

period and frequency are related

           f = 1 / T

           f = 1 / 2t

we substitute

           v = x / 2t

           v = 5.50 / 2 3

           v = 0.9167 m / s

b) the amplitude is the distance from a maximum to zero

          2A = y

           A = y / 2

           A = 0.700 / 2

           A = 0.350 m

c) The horizontal speed of the traveling wave (waves) is independent of the vertical oscillation of the particles, therefore the speed is the same

      v = 0.9167 m / s

d) the amplitude is

           A = 0.500 / 2

           A = 0.250 m

. Estimate the buoyant force that air exerts on you. (To do this, you can estimate your volume by knowing your weight and by assuming that your weight density is a bit less than that of water.)

Answers

Answer:

[tex]0.886[/tex] N buoyant force is exerted by air

Explanation:

My weight is [tex]75[/tex] Kg

Weight = mass * gravity

As we know

Buoyant Force is equal to the product of density * acceleration due to gravity and volume of the body

Assuming weight density is a bit less than that of water or equal to water i.e [tex]997.77[/tex] kg/m3

Volume is equal to mass / density

[tex]= 75[/tex] Kg * g/[tex]997.777[/tex]

[tex]= 0.0751[/tex] * g

Buoyant Force

= Volume * g * density

[tex]= 0.0751 * 9.8 * 1.2041[/tex]kg/m3

[tex]= 0.886[/tex] N

using the human species as an example, explain what is meant by variation of traits

Answers

a variation of traits could be a variation of personality traits? everybody is different? what I do know Is that variation can be inherited or environmental which means that you get it from your ancestors through DNA or you get it from the environment around you

how to measure the weight of an object?? PLEASE HELP I'LL GIVE BRAINLEST​

Answers

Answer:

Weight is a measure of the force of gravity pulling down on an object. It depends on the object's mass and the acceleration due to gravity, which is 9.8 m/s2 on Earth. The formula for calculating weight is F = m × 9.8 m/s2, where F is the object's weight in Newtons (N) and m is the object's mass in kilograms.

A student is investigating the differences between light waves and sound waves. The student does this by using a capsule filled with solid glass at one end and a vacuum at the other end. The student will transmit waves into the capsule at a 30° angle to the (normal) centerline.

alert your teacher if the image is missing

Which >>TWO<< questions should the student ask, and which predictions are MOST LIKELY correct based on this investigation?

Group of answer choices

question: Can electromagnetic waves and mechanical waves travel from a solid glass medium into a liquid medium?

prediction: The electromagnetic waves will continue through the liquid medium, while the mechanical waves will go no farther.


question: How are electromagnetic waves and mechanical waves affected when traveling from a solid glass medium to a vacuum?

prediction: The electromagnetic waves will continue through the vacuum, while the mechanical waves will go no farther.


question: Can electromagnetic waves and mechanical waves travel from a solid glass medium into a liquid medium?

prediction: Both electromagnetic waves and mechanical waves will bend, showing that they have passed through each medium.


question: How are electromagnetic waves and mechanical waves affected when traveling from a solid glass medium to a vacuum?

prediction: The electromagnetic waves and mechanical waves will continue through the vacuum at a lower speed.


question: How is the speed of electromagnetic waves affected when traveling from a solid glass medium to a vacuum at a 30° angle?

prediction: The electromagnetic waves will travel in a straight line, showing that they have maintained a constant speed.


question: How is the speed of electromagnetic waves affected when traveling from a solid glass medium to a vacuum at a 30° angle?

prediction: The electromagnetic waves will bend downward, showing that they have sped up slightly

Answers

Answer:

Explanation:

The investigation is on differences between light waves and sound waves. Because the light and sound are transmitted at a 30° angle at a capsule with glass and vacuum, questions asked should show difference answers for light and sound.

First and third question talk about liquid which is not related here.

Fouth and sixth prediction are wrong as electromagnetic wave will not slow down or speed up in vacuum.

That leaves the second and fifth set as correct answers:

question: How are electromagnetic waves and mechanical waves affected when traveling from a solid glass medium to a vacuum?

prediction: The electromagnetic waves will continue through the vacuum, while the mechanical waves will go no farther.

question: How is the speed of electromagnetic waves affected when traveling from a solid glass medium to a vacuum at a 30° angle?

prediction: The electromagnetic waves will travel in a straight line, showing that they have maintained a constant speed.

Answer:

The two questions and predictions are:

question: How are electromagnetic waves and mechanical waves affected when traveling from a solid glass medium to a vacuum?

prediction: The electromagnetic waves will continue through the vacuum, while the mechanical waves will go no farther.

question: How is the speed of electromagnetic waves affected when traveling from a solid glass medium to a vacuum at a 30° angle?

prediction: The electromagnetic waves will travel in a straight line, showing that they have maintained a constant speed.

Explanation:

light is EM wave which is transverse while sound is longitudinal. speed changes for long wave but not EM.

Which of the following is NOT part of the grain group?

Answers

Answer:

Any food made from wheat, rice, oats, cornmeal, barley, or another cereal grain is a grain product. Anything else is not

Explanation:

A is a hot object.  B is a cold object.  the two are brought into contact with each other so that heat is developed

A) which of the two gets hotter and why?
B) when does the exchange of heat stop?​

Answers

Answer:

A) Cold object will start getting hot

B) Heat exchange will stop as the two object acquire the same temperature.

Explanation:

A) When one hot object and one cold object are kept in contact then the heat is transferred from the hot object to the cold object via different modes of heat transmission. Hence, the cold object starts getting hot

B) The transmission of heat from the hot object to the cold object will stop as the temperature of the two object becomes equal to each other.

MY NOTES A spring with a mass of 2 kg has a damping constant 14 kg/s. A force of 3.6 N is required to keep the spring stretched 0.3 m beyond its natural length. The spring is stretched 0.6 m beyond its natural length and then released. Find the position of the mass at any time t. (Assume that movement to the right is the positive x-direction and the spring is attached to a wall at the left end.)

Answers

Answer: What’s the question?
Explanation: everything looks good for this!! I understand now :) I think ❤️ pls give me Brainly!

A 10 kg box is move 5 m. How much work was done on the box?

Answers

Answer:

10

Explanation:

lyezurzup?y?ur if fk kgs7rsjzkgzitz

I need help please someone !!!!! Would appreciate it

Answers

Answer:

Yes, it would make it back up.

Explanation:

If it has 100,000 Joules of gravitational potential energy at the top of the hill, by the time the cart gets to the bottom, it will become PE = 0, KE = 90,000 since 10% of 100,000 is 10,000. The cart only requires 80,000J to climb back up so it should easily do so.

I didn't quite understand if the 10% energy loss is total, or every time it goes up or down, but it isn't a problem because 10% of 90,000 is 9,000, which means it would have 81,000J of energy on the way back up IF it loses energy due to friction on the way back up also.

The only physical law you need to prove this is the Law of Conservation of Energy: no energy is lost, only transformed; 10% of the energy becomes heat, the rest remains mechanical energy, which is the reason why the reasoning above works.

Scroll over the answer choices to see the images. Choose all of the true statements concerning the corresponding image
The picture depicts an electric motor which turns electrical energy into mechanical energy.
The picture depicts a generator which turns electrical energy into mechanical energy
A series circuit is a good example of an electromagnet
F more wite is wound around this iron mail, the strength of the electromagnetic is increased
This image devices that the direction of the magnetic field does not depend on the direction of the current
Flow of electron |

Answers

Answer:

Explanation:

I jus did it on usatestprep

7) If someone behaves against your company's code of ethics, what should you do?
A) Ignore it and mind your own business.
B) Suggest that they talk to the human resources department.
C) Talk to them about the situation.
D) Report the problem to your supervisor

Answers

Answer:

D) Report the problem to your supervisor.

Explanation:

This is probably the most efficient way get them to stop or to get them to follow the rules <3

D. Because you should report it on how the person is acting

1+1=69 how is it possible

Answers

Answer:

you add 67 to 1+1 is this clear also chicken nuggets

Answer:

i dont know

Explanation:

convert 1 day into seconds.(you will need to show your work to receive credit.) please help thank you​

Answers

Answer:

the answer is 86400seconds.

Explanation:

1day= 24 hours

24hours to seconds =

24×60×60= 86400 seconds.

( 60 second = 1 minutes)

( 60 minutes = 1 hour)

What is the index of refraction of a refractive medium if the angle of incidence in air is 40 degrees and the angle of refraction is 29 degrees?

Answers

N= 1.33
Explanation: (1) sin 40 degrees = n(sin 20 degrees)

The index of refraction is 1.33.

To find the answer, we need to know about index of refraction.

What is index of refraction?

The indication of the light bending ability of a medium is the refractive index of that medium.It determines how much the path of light is bent or refracted.It's a dimensionless number.

What is the mathematical expression of refractive index?

Mathematically, the refractive index(n) is

n= sin∅₁ / sin∅₂

where, ∅₁= angle of incident

             ∅₂= angle of refraction

What is the refractive index,  if the angle of incidence in air is 40 degrees and the angle of refraction is 29 degrees?

n= sin(40) /sin(24) = 1.33

Thus, we can conclude that the index of refraction is 1.33.

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can someone please help me !!!!

Answers

Answer:

it's A subduction, deep water trench

Which are properties of a liquid? Check all that apply.

Answers

Answer:

the property of liquid are

1 they can flow from one place to another if surface is slanted

2 it cannot be compressed

The rollercoaster is near the
bottom of the hill after the first big
drop. Which best describes the
potential and kinetic energy?
A. It has mostly kinetic energy.
B. It has mostly potential energy.
C. The kinetic energy is decreasing.
D. The potential energy is about 50%
and increasing.

Answers

Answer:

A. It has mostly kinetic energy

Explanation:

Kinetic energy refers to movement. Potential energy refers to height. In this case, the big drop just got over. So, when the coaster is at the bottom, it has more kinetic than potential energy . Potential energy is still present but kinetic is more at the bottom.

create a poem that incorporates those ten words. Feel free to make it as silly as you like! MINIMUM of 6 lines with a MINIMUM of 5 words and 10 should come from your book. These do not have to rhyme, but can if you wish.

Answers

I could make a poem for you if you actually gave the words...... what 10 words do i need to incorporate???☹︎

The steering wheel of a car has a radius of 0.19 m, and the steering wheel of a truck has a radius of 0.25 m. The same force is applied in the same direction to each steering wheel. What is the ratio of the torque produced by this force in the truck to the torque produced in the car

Answers

Answer:

[tex]\frac{T_t}{T_c} = 1.32[/tex]

Explanation:

The torque applied on an object can be calculated by the following formula:

[tex]T = Fr[/tex]

where,

T = Torque

F = Applied Force

r = radius of the wheel

For car wheel:

[tex]T_c = Fr_c\\[/tex]

For truck wheel:

[tex]T_t = Fr_t[/tex]

Dividing both:

[tex]\frac{T_t}{T_c} = \frac{Fr_t}{Fr_c}[/tex]

for the same force applied on both wheels:

[tex]\frac{T_t}{T_c} = \frac{r_t}{r_c} \\[/tex]

where,

rt = radius of the truck steering wheel = 0.25 m

rc = radius of the car steering wheel = 0.19 m

Therefore,

[tex]\frac{T_t}{T_c} = \frac{0.25\ m}{0.19\ m} \\[/tex]

[tex]\frac{T_t}{T_c} = 1.32[/tex]

What are the 3 least important cell parts and why

Answers

Answer:

The three main/basic parts of the cell are:

Cell Membrane (Plasma Membrane)

Cytoplasm

Nucleus

Explanation:

Each cell is surrounded by a lipid-rich Cell membrane (also called the Plasma Membrane) that forms a boundary between the cell and its environment.

The membrane encloses the Cytoplasm, which includes all cell contents (except the Nucleus, in cells that have one). Cytosol is the fluid of Cytoplasm.

Nucleus is the central part of an atom, and the process of milk production and secretion begins here; the organelle that contains DNA in eukaryotic cells.

What is the Lorentz force law used for? A. To find the voltage of a battery B. To find the magnitude of a magnetic force C. To find the velocity of an electromagnetic wave. D. To find the direction of a magnetic field

Answers

Answer:

B

Explanation:

The Lorentz force is the sum of the electric force and magnetic force.

F = qE + qvB

qE represents electric force and qvB represents magnetic force

scholastic science world
CHECK FOR UNDERSTANDING: VIDEO GAME TYCOONS

Answers

I dont see it ;-; REEEEEEEE

a bag of sugar has a mass of 2.26 kg. what is its weight

Answers

Answer:

2260

gimme brainliest rn

Two solenoids of equal length are each made of 2000 turns of copper wire per meter. Solenoid I has a 5.00 cm radius; solenoid II a 10.0 cm radius. When equal currents are present in the two solenoids, the ratio of the magnitude of the magnetic field BIalong the axis of solenoid I to the magnitude of the magnetic field BIIalong the axis of solenoid II, BI/BII, is

Answers

Answer:

BI/BII = 1

Explanation:

The magnetic field due to a solenoid is given by the following formula:

[tex]B = \mu nI\\[/tex]

where,

B = Magnetic Field due to solenoid

μ = permeability of free space

n = No. of turns per unit length

I = current passing through the solenoid

Now for the first solenoid:

[tex]B_1 = \mu n_1I_1 \\[/tex]

For the second solenoid:

[tex]B_2 = \mu n_2I_2\\[/tex]

Dividing both equations:

[tex]\frac{B_1}{B_2} = \frac{\mu n_1I_1}{\mu n_2I_2}\\[/tex]

here, no. of turns and the current passing through each solenoid is same:

n₁ = n₂ and I₁ = I₂

Therefore,

[tex]\frac{B_1}{B_2} = \frac{\mu nI}{\mu nI}\\[/tex]

BI/BII = 1

You are holding a finishing sander with your right hand. THe sander has a flywheel which spins counterclockwise as seen from behind the handle. You are sanding a wall in front of you. as you turn the sander towards the right, you feel a tendency in the sander to...
a. pull away from you
b. turn towards the left
c. turn downward
d. turn upward
e. push toward you

Answers

Answer:

c. turn downward

Explanation:

From the information given:

To find the tendency of the sander;

We need to apply the right-hand rule torque; whereby we consider the direction of the flywheel, the direction at which the torque is acting, and the movement of the sander toward the right.

Since the flywheel of the sander is in counterclockwise movement, hence the torque direction will be outward placing on the wall. However, provided that the movement of the sander is toward the right, then there exists an opposite force that turns downward which showcases the tendency in the sander is downward.

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What is the focallength of the lens?(Unit = cm) what is the most significant difference between freshwater aquatic ecosystems and marine ecosystems? the box and whisker plot below shows the volunteer service hours performed by students at indian trail middle school last summer Based on the diagrams above, what is the percent change in the amount of runoff in urban areas compared to forested areas? TB MC Qu. 10-149 (Algo) ABC Corporation makes a product ... ABC Corporation makes a product with the following standard costs: Standard Quantity or Hours Standard Price or Rate Direct materials 7.7 grams $ 2.30 per gram Direct labor 0.5 hours $ 23.00 per hour Variable overhead 0.5 hours $ 7.30 per hour The company produced 5,500 units in January using 39,610 grams of direct material and 2,410 direct labor-hours. During the month, the company purchased 44,700 grams of the direct material at $2.00 per gram. 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As you read, takes note on how Kennedy uses rhetoric to make his speech morepersuasive.I have bad news for you, for all of our fellowcitizens, and people who love peace all over theworld, and that is that Martin Luther King wasshot and killed tonight.Martin Luther King dedicated his life to love andto justice for his fellow human beings, and hedied because of that effort.In this difficult day, in this difficult time for theUnited States, it is perhaps well to ask what kindof a nation we are and what direction we want tomove in. For those of you who are black--considering the evidence there evidently is thatthere were white people who were responsible--you can be filled with bitterness, with hatred, anda desire for revenge. 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But we have to make an effort inthe United States, we have to make an effort to understand, to go beyond these rather difficult times.My favorite poet was Aeschylus.1 He wrote: In our sleep, pain which cannot forget falls drop by dropupon the heart until, in our own despair,2against our will, comes wisdom through the awful grace ofGod.RFKs Speech Following the Death of MLK by Senator Robert F. Kennedy is in the public domain.What we need in the United States is not division; what we need in the United States is not hatred;what we need in the United States is not violence or lawlessness; but love and wisdom, andcompassion toward one another, and a feeling of justice toward those who still suffer within ourcountry, whether they be white or they be black.So I shall ask you tonight to return home, to say a prayer for the family of Martin Luther King, thatstrue, but more importantly to say a prayer for our own country, which all of us love--a prayer forunderstanding and that compassion of which I spoke.We can do well in this country. We will have difficult times; weve had difficult times in the past; we willhave difficult times in the future. It is not the end of violence; it is not the end of lawlessness; it is notthe end of disorder.But the vast majority of white people and the vast majority of black people in this country want to livetogether, want to improve the quality of our life, and want justice for all human beings who abide3inour land.Let us dedicate ourselves to what the Greeks wrote so many years ago: to tame the savageness of manand make gentle the life of this world.Let us dedicate ourselves to that, and say a prayer for our country and for our people. In which Africa climate region would you most like to live in and why