A 87 kg man has a total mechanical energy of 1780 J .If he is swinging downward and is currently 1.4 m above the ground, what is his speed? Use g = 10 m/s^2

Answers

Answer 1

Answer:

6.4m/s

Explanation:

The total mechanical energy of the man is 1780J.

This mechanical energy is the energy due to the motion of the body and it is a form of kinetic energy.

 Also, mass  = 87kg

   Kinetic energy  = [tex]\frac{1}{2}[/tex]   m v²

m is the mass

v is the velocity

           1780  =  [tex]\frac{1}{2}[/tex] x 87 x v²

                v²  = 40.9

                v  = 6.4m/s


Related Questions

A north magnetic pole is facing another north magnetic pole with a distance x. If the distance between the poles becomes 12x, what happens to the magnitude of the field energy between them?

The answer is "The field energy will increase"

Answers

What will happen to the magnitude of the field energy between them is that

The field energy will increase

Whenever there is a stored energy in an object at rest, the object will move in the direction that causes the energy stored to decrease, which will be replaced by movement energy.

Therefore, if two magnets with like poles are pointing together, then the energy stored will decrease as they move apart. Hence, as the distance between poles decreases, field energy increases.

What are magnetic poles?

Magnetic pole are region at each end of a magnet where the external magnetic field is strongest.

For more information on magnetic poles, visit

https://brainly.com/question/19542022

Various amplifier and load combinations are measured as listed below using rms values. For each, find the voltage, current, and power gains ( A v , Ai , and Ap, respectively) both as ratios and in dB:
(a) vI= 100 mV, iI = 100 μA, vO = 10 V, RL = 100Ω
(b) vI = 10 μV, iI = 100 nA, vO =1 V, RL= 10 kΩ
(c) vI =1 V, iI = 1 mA, vO =5 V, RL = 10Ω

Answers

Answer:

The solution to this question can be defined as follows:

Explanation:

In point (a):

[tex]v_i= 100 \ mV\\\\ i_I = 100 \mu \ A\\\\ v_O = 10 \ V\\\\ R_L = 100 \ \Omega \\\\i_L = \frac{V_0}{R_L} = \frac{10}{100} = 100 \ MA \\\\A_v = \frac{V_0}{V_i} = \frac{10}{100 \times 10^{-3}} =100 \\\\A_v(db) = 20 \lag (100) =40 \ db \\\\ A_i= \frac{i_L}{i_i} = \frac{100 \times 10^{-3}}{100 \times 10^{-6}} =1000 \\\\A_i(db) = 20 \lag (100) =60 \ db \\\\[/tex]

[tex]A_p= \frac{P_0}{p_i} =\frac{v_0 i_L}{v_i i_i} = \frac{ 10(100 \times 10^{-3})}{100 \times 10^{-6} \times 100 \times 10^{-3}} =100000\\\\ A_p(db) =10 \log (100000) =50 \ db \\\\[/tex]

In point (b):

[tex]v_i = 10 \mu V\\\\ i_i = 100 \ nA \\\\ v_O =1 \ V \\\\ R_L= 10 \ k \Omega \\\\i_0 = \frac{V_0}{R_L} = \frac{1}{10 \ K} = 100 \ \muA \\\\A_v = \frac{V_0}{V_i} = \frac{10}{10 \times 10^{-6}} =100000 \\\\A_v(db) = 20 \lag (100000) =100 \ db \\\\ A_i= \frac{i_0}{i_i} = \frac{100 \times 10^{-6}}{100 \times 10^{-9}} =1000 \\\\A_i(db) = 20 \lag (1000) =60 \ db \\\\[/tex]

[tex]A_p= \frac{P_0}{p_i} =\frac{v_0 i_0}{v_i i_i} = \frac{ 1 \times 100 \times 10^{-6})}{10 \times 10^{-6} \times 100 \times 10^{-9}} =100000000\\\\A_p(db) =10 \log (100000000) =80 \ db \\\\[/tex]

In point (C):

[tex]v_i =1\ V\\\\ i_I = 1 \ mA\\\\ v_O =5\ V \\\\ R_L = 10 \ \Omega \\\\i_0 = \frac{V_0}{R_L} = \frac{5}{10 } = 0.5 \ A \\\\A_v = \frac{V_0}{V_i} = \frac{5}{1} =5 \\\\A_v(db) = 20 \log 5 =13.97 \ db = 14 \db \\\\ A_i= \frac{i_0}{i_i} = \frac{0.5}{1\times 10^{-3}} =500 \\\\A_i(db) = 20 \log (500) =53.97 \ db = 54 \db \\\\[/tex]

[tex]A_p= \frac{P_0}{p_i} =\frac{v_0 i_0}{v_i i_i} = \frac{ 5 \times 0.5 }{1 \times 1 \times 10^{-3}} =2500\\\\A_p(db) =10 \log (2500) = 33.97 \ db = 34 \db\\\\[/tex]

When measuring wellness you must consider
A all components of health
B your physical fitness being in the top 10% of the population
C being free of diseases
D both physical and mental health

Answers

Answer:

The answer is A) all components of health

Explanation:

Got it right on edge

Suppose Isaac Newton can swim with a velocity of 35 m/sec. If Isaac Newton swims straight
across a river with a current of 22 m/sec, then what is the magnitude of Newton's resulting
velocity as he swims across the river. Note: Sir Isaac Newton swims like Aquaman.

Answers

Answer:

Let Vx = 35 m/s     speed of swimmer across river

     Vy = 22 m/s     speed of river dowstream

V = (Vx^2 + Vy^2)^1/2 = 41.3 m/s      net speed of swimmer

tan theta = Vy / Vx = .629    theta = 32.2 deg

(Theta would be zero if speed of river was zero)\

Artificial satellites in space can help you find locations on
Earth. True or false?

Answers

yes the answer is true

To review the solution to a similar problem, consult Interactive Solution 1.43. The magnitude of a force vector is 87.4 newtons (N). The x component of this vector is directed along the x axis and has a magnitude of 72.1 N. The y component points along the y axis. (a) Find the angle between and the x axis. (b) Find the component of along the y axis.

Answers

Answer:

(a) 34.4°

(b) 49.4 N

Explanation:

(a) From the diagram,

Amgle between the x axis can be calculated as,

cosΘ = adjacent/hypoteneous

cosΘ = 72.1/87.4

cosΘ = 0.8249

Θ = cos⁻¹(0.8249)

Θ = 34.4°.

Hence the angle between the x axis is 34.4°

(b) To find the component along the y axis we make use of pythagoras theorem.

a² = b²+c²................... Equation 1

Where a = 87.4 N, b = 72.1 N, c = y.

Substitute  these values into equation 1

87.4² = 72.1² + y²

y² = 87.4²-72.1²

y² = 2440.35

y = √(2440.35)

y = 49.4 N

Let w(x)=3x-7.If w(x)=14, find x

Answers

Answer:

7

Explanation:

We are given:

    w(x) = 3x   -   7

     w(x)  = 14

The problem here entails us to solve for x;

To solve for x; equate the two expressions:

         

          3x  - 7  = 14

           3x  = 14 + 7

           3x  = 21  

             x = 7

So the value of x  = 7

Plz help this is so confusing

Answers

The correct answer is 5 km/h

Explanation:

The speed at which the duck travels can be found by using the equation that is given (speed= distance/ time). The first step to do this is to replace distance and time using the values given. Here is the process:

speed = distance / time

speed = 10 km / 2 hours

Now, solve this equation

speed = 10 km/ 2 hours

10 / 2 or 10 divided 2 = 5

Finally, use the units, in this case, the correct units are km/h

The speed limit on some segments of interstate 4 is 70 mph. What is this in km/h?

Answers

Answer:

112.63km/hr

Explanation:

The given dimension is :

         70mph

We are to convert this to km/hr

         1 mile  = 1.609km

         

so;

     70mph x 1.609    = 112.63km/hr

So,

  The solution is 112.63km/hr

What is the gravitational force between two students, John and Mike, if John has a mass of 81.0 kg, Mike has a mass of 93.0 kg, and their centers are separated by a distance of .620 m?

Answers

Answer:

1.31×10¯⁶ N

Explanation:

From the question given above, the following data were obtained:

Mass of John (M₁) = 81 Kg

Mass of Mike (M₂) = 93 Kg

Distance apart (r) = 0.620 m

Gravitational constant (G) = 6.67×10¯¹¹ Nm²/Kg²

Force (F) =?

The gravitational force between the two students, John and Mike, can be obtained as follow:

F = GM₁M₂ / r²

F = 6.67×10¯¹¹ × 81 × 93 / 0.62²

F = 6.67×10¯¹¹ × 7533 / 0.3844

F = 1.31×10¯⁶ N

Therefore, the gravitational force between the two students, John and Mike, is 1.31×10¯⁶ N

When the sum of all the forces acting on a block on an inclined plane is zero, the block
A) must be at rest
B) must be accelerating
C) may be slowing down
D) may be moving at constant speed

Answers

Answer:

hmmm thats too hard for me.

Explanation:

A safety plug is designed to melt when the pressure inside a metal tank becomes too high. A gas
at 51.0 atm and a temperature of 23.0°C is contained in the tank, but the plug melts when the
pressure reaches 75.0 atm. What temperature did the gas reach?

Answers

The plug is 6 but u have to divert by the scale to form 5 .C

a spring stretches from an initial height of 5 cm to a final stretch of 10 cm. the spring constant is 800 n/m.How much work was done on the spring?
what is the final force on the spring when it is at its 10 cm stretch?
explain why it is not appropriate to use the equation w=f//d when considering springs.

Answers

Answer:

.

Explanation:

F = kx so k = 800/((10-5)/100) = 16000 N/m

W = 1/2 kx^2 = 1/2 * 16000 * .05^2 = 20 J.

(sorry if it's wrong)

need help pleaseee !

Answers

Answer:

08 and 09 with be 67

Explanation:

i know this because it was the vase major

A uniform disk with mass 35.2 kg and radius 0.200 m is pivoted at its center about a horizontal, frictionless axle that is stationary. The disk is initially at rest, and then a constant force 34.5 N is applied tangent to the rim of the disk.
a) What is the magnitude v of the tangential velocity of a point on the rim of the disk after the disk has turned through .200 revolution?
b) What is the magnitude a of the resultant acceleration of a point on the rim of the disk after the disk has turned through .200 evolution?

Answers

Answer:

a) v = 1.01 m/s

b) a = 5.6 m/s²

Explanation:

a)

If the disk is initially at rest, and it is applied a constant force tangential to the rim, we can apply the following expression (that resembles Newton's 2nd law, applying to rigid bodies instead of point masses) as follows:

       [tex]\tau = I * \alpha (1)[/tex]

Where τ is the external torque applied to the body, I is the rotational inertia of the body regarding the axis of rotation, and α is the angular acceleration as a consequence of the torque.Since the force is applied tangentially to the rim of the disk, it's perpendicular to the radius, so the torque can be calculated simply as follows:τ = F*r (2)For a solid uniform disk, the rotational inertia regarding an axle passing through its center  is just I = m*r²/2 (3).Replacing (2) and (3) in (1), we can solve for α, as follows:

       [tex]\alpha = \frac{2*F}{m*r} = \frac{2*34.5N}{35.2kg*0.2m} = 9.8 rad/s2 (4)[/tex]

Since the angular acceleration is constant, we can use the following kinematic equation:

        [tex]\omega_{f}^{2} - \omega_{o}^{2} = 2*\Delta \theta * \alpha (5)[/tex]

Prior to solve it, we need to convert the angle rotated from revs to radians, as follows:

       [tex]0.2 rev*\frac{2*\pi rad}{1 rev} = 1.3 rad (6)[/tex]

Replacing (6) in (5), taking into account that ω₀ = 0 (due to the disk starts from rest), we can solve for ωf, as follows:

       [tex]\omega_{f} = \sqrt{2*\alpha *\Delta\theta} = \sqrt{2*1.3rad*9.8rad/s2} = 5.1 rad/sec (7)[/tex]

Now, we know that there exists a fixed relationship the tangential speed and the angular speed, as follows:

        [tex]v = \omega * r (8)[/tex]

where r is the radius of the circular movement. If we want to know the tangential speed of a point located on the rim of  the disk, r becomes the radius of the disk, 0.200 m.Replacing this value and (7) in (8), we get:

       [tex]v= 5.1 rad/sec* 0.2 m = 1.01 m/s (9)[/tex]

b)    

There exists a fixed relationship between the tangential and the angular acceleration in a circular movement, as follows:

       [tex]a_{t} = \alpha * r (9)[/tex]

where r is the radius of the circular movement. In this case the point is located on the rim of the disk, so r becomes the radius of the disk.Replacing this value and (4), in (9), we get:

       [tex]a_{t} = 9.8 rad/s2 * 0.200 m = 1.96 m/s2 (10)[/tex]

Now, the resultant acceleration of a point of the rim, in magnitude, is the vector sum of the tangential acceleration and the radial acceleration.The radial acceleration is just the centripetal acceleration, that can be expressed as follows:

       [tex]a_{c} = \omega^{2} * r (11)[/tex]

Since we are asked to get the acceleration after the disk has rotated 0.2 rev, and we have just got the value of the angular speed after rotating this same angle, we can replace (7) in (11).Since the point is located on the rim of the disk, r becomes simply the radius of the disk,, 0.200 m.Replacing this value and (7) in (11) we get:

       [tex]a_{c} = \omega^{2} * r = (5.1 rad/sec)^{2} * 0.200 m = 5.2 m/s2 (12)[/tex]

The magnitude of the resultant acceleration will be simply the vector sum of the tangential and the radial acceleration.Since both are perpendicular each other, we can find the resultant acceleration applying the Pythagorean Theorem to both perpendicular components, as follows:

       [tex]a = \sqrt{a_{t} ^{2} + a_{c} ^{2} } = \sqrt{(1.96m/s2)^{2} +(5.2m/s2)^{2} } = 5.6 m/s2 (13)[/tex]

How does the geosphere interact with the biosphere during a fire?

Answers

Answer: A forest fire could affect the geosphere by ash and the heat from the fire, but the fire would affect the biosphere by less oxygen in the air and would make it hard for human to breath affecting climate change. Also many homes to wildlife that live in the forest would lose their homes. This would result in lose of money from no hunting and that affect the economy.

Please answer this question I don't know how to do it.

Answers

One year = 365 days = 8760 hours = 525,600 minutes = 31,536,000 seconds

One light year = speed of light * 31,536,000 seconds

1340 light years = 1340 * one light year

an incline projection can achive maximium horizontal horizontal range at an angle of projection,ፀ=45 why?​

Answers

Answer:

Explanation:

For an incline projection made at angle of θ , expression of horizontal range R can be given by the following equation .

R = u² sin 2θ / g

u is initial velocity of throw .

For range R to be maximum , the value of sin 2θ must be maximum . The maximum value of sin of an angle is 1 , so

For maximum R ,

sin2θ = 1 = sin90

2θ = 90 .

θ = 45⁰ .

So for projection made at 45⁰ , horizontal range is maximum .

What happens to Average Speed if distance decreased & time stayed the same?

Answers

Answer:

I think you are trying to ask 'what happens to the average speed (of humans or animals.) if the distance decreased and time stayed the same (the time such as what hour it is or what second?)' If that is the case then the average speed will be more since the distance decreased. And the time staying the same might affect it I am not fully sure so I will not say anything about that. I hope this helps!

PLEASE HELP IM HEING TIMED

Answers

Answer:

Uh, I could be wrong but doesn’t it mean that the wave and particle are reacting together to make light? I think it’s something like that... I hope this helps!

A 62 kg student, starting from rest, slide down an 10.6 m high water slide. How fast is he going at the bottom of the slide? Use g = 10 m/s2

Answers

Answer:

14.6m/s

Explanation:

Given parameters:

Mass of the student  = 62kg

Initial velocity  = 0m/s

Height of slide = 10.6m

g  = 10m/s²

Unknown:

Speed at the bottom of the slide = ?

Solution:

The speed at the bottom of the slide is the final velocity;

             v ² = u²  + 2gh

v is the final velocity

u is the initial velocity

g is the acceleration due to gravity

h is the height

             v² = 0²  +  2x 10 x 10.6

             v²  = 212

              v  =  14.6m/s

In the picture shown below A represents a characteristic of only geocentric model, B represents a characteristic common to both geocentric and heliocentric models, C represents a characteristic of only heliocentric model, and D represents a characteristic which the geocentric and heliocentric models do not have.
Under which label will the characteristic, "The sun and planets revolve around a central moon in the solar system" fall?
A
B
C
D

Answers

Sorry I wish I can help but there is no picture

Block X and block Y travel toward each other along a horizontal surface with block X traveling in the positive direction. Block X has a mass of 4kg and a speed of 2ms. Block Y has a mass of 1kg and a speed of 1 ms. A completely inelastic collision occurs in which momentum is conserved. What is the approximate speed of block X after the collision

Answers

Answer:

  v = 1.4 m / s

Explanation:

To solve this problem we use the law of conservation of momentum, for this we define a system formed by the two blocks in such a way that the force during the collision have been internal

initial instant. Just before the crash

           p₀ = M v₁ - m v₂

final instant. Right after the crash

          p_f = (M + m) v

the moment is preserved

          p₀ = p_f

          M v₁ - m v₂ = (M + m) v

           v = [tex]\frac{1}{M+m}[/tex]  (M v₁ - mv₂)

let's calculate

           v = [tex]\frac{1}{4+1}[/tex]  (4 2 - 1 1)

           v = 1.4 m / s

in the same direction as the largest block (M)

The approximate speed of block X after the collision is 1.4 m/s.

Given information:

Block X and block Y travel toward each other along a horizontal surface with block X traveling in the positive direction.

Block X has a mass of [tex]m_1=[/tex] 4 kg and a speed of [tex]u_1=[/tex] 2 m/s.

Block Y has a mass of [tex]m_2=[/tex] 1 kg and a speed of [tex]u_2=[/tex] -1 m/s.

The collision between them is perfectly inelastic. So, the final velocity of both the objects will be the same.

The momentum of the system will be conserved. Let v be the final velocity of both the blocks.

The final velocity v can be calculated as,

[tex]m_1u_1+m_2u_2=(m_1+m_2)v\\4\times 2-1\times1=(4+1)v\\5v=7\\v=1.4\rm\;m/s[/tex]

Therefore, the approximate speed of block X after the collision is 1.4 m/s.

For more details about collision, refer to the link:

https://brainly.com/question/12941951

I will give brainly
Defend Democritus' work on the atom and its contribution to the modern atomic model.

Answers

Answer

Around 400 B.C.E, the Greek philosopher Democritus introduced the idea of the atom as the basic building block matter. Democritus though that atoms are tiny, uncuttable, solid particles that are surrounded by empty space and constantly moving at random.

Pls give me BRAINLIEST

•What is the gravitational potential energy of a girl
who has a mass of 40 kg and is standing on the
edge of a diving board that is 5 m above the water?

Answers

Answer:

1960 joule

Explanation:

In which part of a lab report would be the following sentence most likely occur? “Since the data showed that the

Answers

We’re are the answer choices at?

Answer:

most likely be included in the analysis section of a lab report

Explanation:

Of the charge Q initially on a tiny sphere, a portion q is to be transferred to a second, nearby sphere. Both spheres can be treated as particles. For what value of q/Q>0.5 will the electrostatic force between the two parts have 1/3 of the maximum possible value?

Answers

Answer:

Explanation:

Maximum value of force will be possible when both the sphere will have same charge . In that case charge on each sphere = Q / 2 =.5Q

F( max ) = k .5Q x .5Q / R²

=.25kQ² /R²

For the second case

F = k q ( Q-q)/  R²

F = .25kQ² /3R²

.25kQ² /3R² =  k q ( Q-q)/  R²

.25 Q² = 3qQ - 3q²

3q² - 3qQ + .25 Q² = 0

q =

Some giant ocean waves have a wavelength of 25 m and travel at 6.5 m/s with a frequency of 0.26 HZ. What is the period of such a wave ?

Answers

Answer:

3.85s

Explanation:

Given parameters:

Wavelength = 25m

Velocity  = 6.5m/s

Frequency  = 0.26Hz

Unknown:

Period of the wave = ?

Solution:

The period of a wave is the inverse of the frequency of the wave.

    Period  = [tex]\frac{1}{frequency}[/tex]  

  Period = [tex]\frac{1}{0.26}[/tex]   = 3.85s

Why are models of atoms and molecules useful explain

Answers

Answer:

The models are larger versions of atoms/molecules. It is a visualization so we can understand the super small particles.

Explanation:

Atoms and molecules are very, very, small. They average 100 picometers across.

They definitely cannot be seen with the naked human eye. We can only see them with special microscopes (electron, optical, etc).  that magnify hundreds of thousands of times.

So, we use models of atoms and molecules. It allows us to study, visualize, understand,  and "see" the particles on a much larger scale.

Small household electrical devices, such as vacuum cleaners, televisions, and floor lamps, each draw a different amount of current, but all require 120 volts to operate. Are the outlets in of a power-strip, then, wired in series or parallel

Answers

Answer:

the selected configuration is PARALLEL

Explanation:

There are two ways to connect electrical circuits.

In series in this type of circuit the equipment is connected to the same line, in this case the current of the circuit circulates through all the inputs is the same, but the voltage in each one is a part of the total voltage, this circuit has the problem that if an appliance is disconnected or damages the power and the entire circuit is interrupted

              V_total = ∑ V_i

In a parallel circuit the equipment is connected in two two cables, for which the current is divided in each branch, the voltage in all the branches is the same, this type of circuit has the advantage that if one equipment is damaged or disconnects the others they can continue working

            V_total = V

Therefore, in consequence of the above, the selected configuration is PARALLEL

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7. What is the basis of Pakistan? Which process is identified by number 1 in the diagram and where in the cell does this process occur?DNAmRNAProtein12O replication; during the cell cycleO transcription; in the nucleus of the celltranslation; at the ribosometranscription; at the ribosome 161725312531Age of First - Time Fathers19 20 21 2126 27 27 283334 3536192632222937232938243039 HELP ASAP!! YOU GET THANKS AND BRAINLEST IF CORRECT!! And points. Place these events in order with the date.Reign of TerrorBeheading of Louis XVIDeclaration of IndependenceCoronation of NapoleonHaitian RevolutionCongress of ViennaStorming of the BastilleGlorious RevolutionLouisiana PurchaseU.S. ConstitutionI 100 points! See pic attached. I will mark brainliest! I only want correct answers please. Random answers will be reported ! :) HELP ASAP! WILL MARK BRAINLIEST!! Read the excerpt from The Monsters Are Due on Maple Street.As they suddenly start toward the house. In this brief fraction of a moment they take the first step toward performing a metamorphosis that changes people from a group into a mob. They begin to head purposefully across the street toward the house at the end. Steve stands in front of them. For a moment their fear almost turns their walk into a wild stampede but Steve's voice, loud, incisive and commanding, makes them stop.STEVEWait a minute . . . wait a minute! Let's not be a mob!The people stop as a group, seem to pause for a moment and then much more quietly and slowly start to walk across the street.Which sentence from the excerpt is an example of foreshadowing?As they suddenly start toward the house.In this brief fraction of a moment they take the first step toward performing a metamorphosis that changes people from a group into a mob.They begin to head purposefully across the street toward the house at the end.The people stop as a group, seem to pause for a moment and then much more quietly and slowly start to walk across the street. ANSWER BELOW HEREB - In this brief fraction of a moment they take the first step toward performing a metamorphosis that changes people from a group into a mob. Answer the following. a) Find h b) Find x What goes in a good essay? (At least 50 words)Im giving 50 points ! pick repel,or attract. were its circled I estimated that the repairs to my car would cost $80. In fact, they cost $120. What was the percentage error? 5y - 4x = -72y + 4x = 14Solve the system of equation Which of the following items is a defining characteristic of a nation-state?Members of its population all speak the same language.It has a group of people (the population).It has a flag.Members of its population all share the same culture (habits and behaviors). Liliana use for dark power crystals to raise 14 zombie soldiers she wants to know how many zombie soldiers Z she can race with 10 dark power crystals HELLP MEEEE PLEAAASSSEE A 12 ounce latte costs $3.00. Write an equation that relates the cost in dollars, y, to the number of ounces, X.ay= 3xy= 0.25%y= 4xy= 12x THIS IS MY 6TH TIME POSTING THIS HELPA scale drawing of a rectangular basketball court measures 7 inches long and 4 inches wide. If the scale used for the drawing is 2.5 inches equals 5 yards, what is the actual length of the park? What kind of pricing is based upon the perception of value and can command a higher price point?Premium pricingEconomy pricingPsychological pricingPricing for penetration A couple is remodeling a room in their house. They have already purchased paint for the room for $300, while their budget is a maximum of $1,200. If the following are costs for furniture sets, which of the following would be too expensive for their total budget.Check all that are true.$400$600$1,500$950$1,200