A horizontal force is applied to a box with a mass equal to 5.5 kg, The graph shows the net force acting on a box as a function of its horizontal position x.

Part A
Find the net work done on the box as it moves from x = 0 m to x = 8.0 m. .
Part B
Apply concepts of work and energy to solve for the speed of the box when it reaches position x = 8.0 m. Assume the box started from rest.

A Horizontal Force Is Applied To A Box With A Mass Equal To 5.5 Kg, The Graph Shows The Net Force Acting

Answers

Answer 1

From the graph, net work done on the box and  the speed of the box when it reaches position x = 8.0 m are 28 Nm and 3.2 m/s respectively

From the question, these are the given parameters;

Mass M = 5.5 KgPosition X = 0 to X = 8m

Part A

The net work done will be the area under the graph.

From position X = 2m to X = 8m gives us the shape of a trapezium.

A = 1/2( a + b )h

A = 1/2( 2 + 6 ) x 8

A = 8 x 4

A = 32 Nm

From X = 0 to X = 2 gives us the shape of a triangle.

A = 1/2bh

A = 1/2 x 2 x (-4)

A = -4 x 1

A = -4 Nm

Net Work done = 32 - 4

Net work done = 28 Nm

Part B

Applying the concepts of work and energy to solve for the speed of the box when it reaches position x = 8.0 m

Net Work done = 1/2m[tex]V^{2}[/tex]

Substitute all the necessary parameters

28 = 1/2 x 5.5 x [tex]V^{2}[/tex]

5.5[tex]V^{2}[/tex] = 56

[tex]V^{2}[/tex] = 56/5.5

[tex]V^{2}[/tex] = 10.18

V = [tex]\sqrt{10.1818}[/tex]

V = 3.19 m/s

Therefore, net work done on the box and  the speed of the box when it reaches position x = 8.0 m are 28 Nm and 3.2 m/s respectively

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Related Questions

how much power is needed to lift a box with a force of 780 newtons over a distance of 2 meters in 45 seconds

Answers

Answer:

34.67 W

Explanation:

Power is the rate at which work is done and can be found by using the formula

[tex]p = \frac{w}{t} \\ [/tex]

p is the power in Watts (W)

w is the workdone in joules

t is time in s

but workdone = force × distance

From the question

force = 780 N

distance = 2 m

workdone = 780 × 2 = 1560 N

Since we now have the value of workdone we can find the power

We have

[tex]p = \frac{1560}{45} = 34.6666666... \\ [/tex]

We have the final answer as

34.67 W

Hope this helps you

Which best describes how plant and animal cells carry out the basic functions of life?

A.
Plant and animal cells do not need food molecules for growth.

B.
Plant and animal cells do not make molecules for their own growth and repair.

C.
Plant and animal cells break down food for growth and repair.

D.
Plant and animal cells perform life functions such as making food molecules for growth.

Answers

the correct answer would be answer c ........

How do you find the final velocity of two objects colliding when you only have the mass and initial velocity of both objects

Answers

Answer:

We are required to analyze the conservation of kinetic energy in a perfectly inelastic collision.

kinetic energy:K=1/2mv²

momentum:p=mv

Explanation:

Using the equations for final velocity in terms of masses and initial velocity for a perfectly inelastic collision, work out the final kinetic energy. Calculate the initial kinetic energy and show that kinetic energy is not conserved. Use variables, no numbers

You need to follow law of conservation of energy

Energy is neither created nor destroyed

We know

Kinetic Energy=mass(Velocity)^2

You may use momentum formula mass×velocity

In both you need to form equations then solve for final velocity

how to solve for time given distance and velocity

Answers

Answer:

Well, I think you're talking about kinematics, especially uniform rectilinear motion. We know that there is a specific equation for that:

S = Vt + S0

With S being the distance, V the velocity, t the time and S0 the initial distance (initial displacement).

From this you can calculate t, if that's what you want.



What is the wavelength of an AM radio wave in a vacuum if its frequency is 810 kHz?

Answers

Answer- 370.114 meters

what is the electric field strength at a distance of .50 m from a 1.00x10^-6 c charge?

Answers

Answer:

e = k q / r² then,

e = 9×10^9 * 1×10^-6 / 50² = 3.6 N/C

hope this helps ❤.

A 5kg ball is on top of the school building at a height of 40m above the ground.
A. calculate the potential energy of the ball at that height.


B. How much power would it take to get the ball from the ground to that height in 1 minute.


C. If it is dropped what type of energy will the ball have as it approaches the ground.


D. What speed will the ball hit the ground

Answers

Answer:

A-Caclcuate the potential energy of the ball at that height

Explanation:

(a). Mass of the Body = 10 kg.

Height = 10 m.

Acceleration due to gravity = 9.8 m/s².

Using the Formula,Potential Energy = mgh

= 10 × 9.8 × 10 = 980 J.

(b). Now, By the law of the conservation of the Energy, Total amount of the energy of the system remains constant.

∴ Kinetic Energy before the body reaches the ground is equal to the Potential Energy at the height of 10 m.

∴ Kinetic Energy = 980 J.

(c). Kinetic Energy = 980 J.

Mass of the ball = 10 kg.

∵ K.E. = 1/2 × mv²

∴ 980 = 1/2 × 10 × v²

∴ v² = 980/5

⇒ v² = 196

∴ v = 14 m/s.

45. 3. (III) A 7.26 kg bowling ball hangs from the end of a 2.5 m rope. The ball is pulled back until the rope makes an angle of 45 with the vertical. a. What is the increase in the ball’s potential energy when it is lifted? b. If the ball is released from rest and swings downward like a pendulum, how much kinetic energy will the ball have at the bottom of its swing? c. How fast will the ball be moving at the bottom of its swing?

Answers

Explanation:

For the first question look at the picture. It should be pretty clear. Remember that cos45° = sqrt2 / 2.

2) We calculate it thanks to the conservation of mechanical energy:

Em1 = Em2

U1 + K1 = U2 + K2

K1 = 0J

U2 = 0j

U1 = K2

3) mgh = 1/2mv^2

v = sqrt(2gh)

During which time does Jamal have the greatest momentum?

Answers

Answer:

Momentum Packet Answer KEY - Science Online

YOU WILL SEE THE PDF

a convex lens has a focal length of 0.5 it is combined with a second lens so combination has power 2.5 diopter which of the following could be second lens

A) concave lens focal length 2m
B) convex lens focal length 0.5m
C) concave lens 0.5m
D) convex lens 2m

Answers

Answer:

concave lens focal length 2m

1) Suppose you place an object in front of a concave mirror. Which of the following statements must be true? (There could be more than one correct choice.) A) The image of the object will always be smaller than the object. B) No matter where you place the object, a real image of the object will be formed. C) The image of the object will always be inverted. D) If you position the object between the mirror and the focal point of the mirror, its image must be upright and virtual. E) No matter where you place the object, the image of the object will always be virtual and upright.

Answers

Answer:

C

Explanation:

because the concave mirror is always inverted

d )  when object is between focus and mirror , image formed is always virtual and erect

What is a Concave mirror ?

A concave mirror has a reflective surface that is curved inward and away from the light source .

a) Incorrect because image can be equal to , smaller then , and bigger then the object

b) and c)  Incorrect when object is between focus and mirror , image formed is virtual and erect

d ) Correct option  when object is between focus and mirror , image formed is always virtual and erect

e) Incorrect except one case in all other cases nature is real and inverted

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which is the following is a modern method used to pressure food

1. sprey drying

2.salting

3. smoking

4. Honey​

Answers

Answer:

1. Spray Drying

Explanation:

it is the most modern

The rays travelled from AIR to an unknown substance. Calculate the n value and
determine the unknown by following these steps: {6 marks}
Medium
n
air
water
ethanol
quartz glass
crown glass
flint glass
ruby
zircon
diamond
1
1.33
1.37
1.47
1.52
1.58
1.54
1.92
2.42
a. On your PAPER calculate n for the unknown value using Ray #1. Type in your
final answer to the electronic box. On paper, ensure #6 is written beside the
calculations.
b. Using the table provided, determine what material was used in the dish to
ar bu
ano below

Answers

Answer:

So what you do is you add all of them then you put an n with the answer.

Explanation:

What chemical reactions support all life on earth?

Answers

Answer:

I’d say both anabolic and catabolic chemical reactions make life on Earth possible. Anabolic is the building up of molecules from atoms or small molecules and catabolic is the chemical reactions of breaking them down.

Explanation:

A certain satellite is in circular orbit about the earth at an altitude of 550km. If the satellite makes a revolution in 110minutes, calculate its orbital speed ​

Answers

Answer:

Approximately [tex]6.59\times 10^{3}\; \rm m\cdot s^{-1}[/tex].

Explanation:

Look up the radius of the earth: approximately [tex]6.371 \times 10^{3}\; \rm km[/tex].

The radius of the orbit of this satellite is the of the radius of the earth (at ground level) plus the height of the satellite relative to ground level:

[tex]\begin{aligned}r &\approx 6.371 \times 10^{3}\; {\rm km} + 550\; {\rm km} \\ &= 6.921 \times 10^{3}\; \rm km\end{aligned}[/tex].

Convert the units of both distance and time to standard units:

Orbital radius:

[tex]\begin{aligned}r &\approx 6.921 \times 10^{3}\; {\rm km} \\ &= 6.921 \times 10^{3}\; {\rm km} \times \frac{10^{3}\; \rm m}{1\; \rm km} \\ &= 6.921 \times 10^{6}\; \rm m\end{aligned}[/tex].

Orbital period:

[tex]\begin{aligned}t &= 110\; \text{minute} \\ &= 110\; \text{minute} \times \frac{60\; \text{second}}{1\; \text{minute}} \\ &= 6.6 \times 10^{3}\; \text{second}\end{aligned}[/tex].

Calculate the circumference of this orbit:

[tex]\begin{aligned}& 2\, \pi\, r \\ \approx\; & 2 \, \pi \times 6.921 \times 10^{6}\; {\rm m} \\ \approx\; & 4.35 \times 10^{7}\; \rm m\end{aligned}[/tex].

Calculate the orbital speed (tangential) of this satellite:

[tex]\begin{aligned}v &= \frac{2\, \pi\, r}{t} \\ &\approx \frac{4.35 \times 10^{7}\; \rm m}{6.6 \times 10^{3}\; \rm s} \\ &\approx 6.6 \times 10^{3}\; \rm m \cdot s^{-1}\end{aligned}[/tex].

Two forces that act on very small distances (smaller than you can see ) are

Answers

There are three fundamental forces that act at a distance. They are gravitational, electromagnetic and nuclear forces.

A bike accelerates uniformly from rest to a speed of 7.10 m/s over a distance of 35.4 m. Determine the acceleration of the bike.

Answers

So acceleration of the bike which started from rest, reaches at speed of 7.10 m/s by travelling distance 35.4 m will be 0.712 m/ sec^2.

how to find velocity of center of mass before and after the collision

Answers

Hey there! I'll try to provide you with my best answer.

Answer: In a collision, the velocity change is always computed by subtracting the initial velocity value from the final velocity value. If an object is moving in one direction before a collision and rebounds or somehow changes direction, then its velocity after the collision has the opposite direction as before.

8 million electrons per second through an ohmic gas

Answers

the compare software

hope it's help

Answer:

you ask or answer?

Explanation:

thanks for point

SOMEONE, PLEASE HELP ME AS FAST AS YOU CAN, I WOULD GIVE MORE POINTS BUT THIS IS THE REST OF MY POINT, PLEASE SOMEONE WHO IS SUPER KIND HELP ME.

Answers

Answer:

1. The formula for speed is speed = distance ÷ time. To work out what the units are for speed, you need to know the units for distance and time

2. 36÷4= 9

(formula) Speed = distance ÷ time

3. Meter (M) centimeter (cm) kilometers (km)

4. Seconds , Hour, Minute

5. 65÷13=5 (object A)

125÷ 25= 5 (object B)

their both Equal of the amount of speed, so they are travelling at the same speed

Hope I helped

A car is being towed. What is the car’s
mass if the net force on the car is 4,000 N and it has an
acceleration of 2.5 m/s^2?

Answers

F = ma
Where F is the force, m is the mass, and a is the acceleration
4000=m x 2.5
m = 4000/2.5 = 1600kg

Mass of the car having acceleration 2.5 m/s² and net force 4000 N is 1600 kg.

What is force ?

A physical cause that can change the state of motion or rest of a body is called force. It is the product of mass and acceleration  off the body.

Here,

Net force acting on the car, F = 4000 N

Acceleration of the car, a = 2..5 m/s²

We know that,

F = ma

So, m = F/a

 m = 4000/2.5

 m = 1600 kg

Hence,

Mass of the car having acceleration 2.5 m/s² and net force 4000 N is 1600 kg.

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Gravity on Jupiter is 25 m/s/s, what is the weight of a 12 kg object on Jupiter?

Answers

Answer:

300 Newtons

Explanation:

Weight is the force of attraction between two bodies, one usually larger (like a planet), and one smaller (like a person). Force can be calculated using the formula: Force = mass × acceleration.

The mass here is 12kg, the acceleration, which in this case, is the acceleration due to gravity is 25m/s/s, by plugging in our values, we have

Force = 12 × 25 = 300 Newtons or 300 N for short.

a bullet is fired out of a gun up at an angle with the horizontal. if its initial horizontal velocity is 10m/s what is the most likely horizontal velocity after two seconds

Answers

Hi there!

[tex]\large\boxed{10 m/s}}[/tex]

When a projectile is launched, the HORIZONTAL component remains constant.

The force of gravity only changes the vertical component of the velocity.

As the two components are completely independent of one another, the horizontal component is UNCHANGED.

what is the theory relativity by Einstein? ​

Answers

:MAIN ANSWER:

determined that the laws of physics are the same for all non-accelerating observers

Explanation:

Albert Einstein, in his theory of special relativity, determined that the laws of physics are the same for all non-accelerating observers, and he showed that the speed of light within a vacuum is the same no matter the speed at which an observer travels, according to Wired.

HOPE IT HELPS

#CARRY ON LEARNING

HAPPY HOLIDAYS DEC 2021

Which statement best describes the energy changes that occur while a child is riding on a sled down a steep, snow-covered hill?

a
Kinetic energy decreases and potential energy increases.
b
Both potential energy and kinetic energy decrease.
c
Both potential energy and kinetic energy increase.
d
Kinetic energy increases and potential energy decreases.

Answers

Answer: When a child is riding on a sled down a steep, snow-covered hill, his elevation decreases and hence Kinetic energy increases and potential energy decreases.

i think this will help you

How many kilojoules are in 1,967,256J? Round your answer to the nearest whole number.

Answers

Answer:

1,967 kilojoules.

Explanation:

1 kilo = a thousand.

There are 1.967 kilojoules in 1,967,256 joules.

What is law of energy conservation?Energy can neither be created nor destroyed.It is only get transfered from one form to another form.

What is the SI unit of energy?Joule is a SI unit of energy.There are 1000 joules in 1 kilojoules .

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A water balloon is launched with a speed of 40 m/s at an angle of 60 degrees to the horizontal. What is the vertical component of the velocity?

a 40 m/s
b 34.6 m/s
c 0 m/s
d 20 m/s

Answers

Vertical component = 40 m/s x sin(60) = 34.6 m/s

Answer: b. 34.6 m/s

The Earth currently has an orbital period of 1 year and a semi-major
axis length of 1 AU. If the Earth's orbit changed and the semi-major
axis length increased to 1.1 AU, how would the Earth's orbital period change?

A: It would increase by 0.15 years

B: It would increase by 0.032 years

C: It would decrease by 0.15 years

D: It would decrease by 0.032 years

Answers

The Earth's orbital period change is A: It would increase by 0.15 years

Using Kepler's third law which states that the square of the orbital period of the planet is directly proportional to the cube of its distance from the sun.

So, T² ∝ R³

T'²/T² = R'³/R³ where

T = orbital period at R = 1 yearR = initial axis length = 1 AUT' = orbital period at R'R' = final axis length = 1.1 AU.

So, making T' subject of the formula, we have

T' = [√(R'/R)³]T

T' = [√(1.1 AU/1 AU)³] × 1 year

T' = [√(1.1)³] × 1 year

T' = √1.331 × 1 year

T' = 1.15 × 1 year

T' = 1.15 years.

So, the change in the Earth's orbital period ΔT = T' - T

= 1.15 years - 1 year

= 0.15 years

Since this is positive, the orbital period increases by 0.15 years.

So, the Earth's orbital period change is A: It would increase by 0.15 years

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if a 1000kg car goes from a speed of 6.5 m/s to a stop in 3 seconds what is the force acting on the car

Answers

Answer:

-6500N

Explanation:

F = ma

Note:  1N = 1 kg⋅m⋅s−2

a = (0-6.5m/s)/3s

a = -6.5m/s^2

F = 1000kg(-6.5m/s^2)

F = -6500kgm/s^2

F = -6500 N

A water balloon is hovering directly above the line join points ANB which are 4.6 km apart if the angles of elevation to the balloon from point a to B or 28.8° and 52.2 respectively find the altitude of the balloon

Answers

Answer:

Drawing the triangle:

H / x = tan 52.2 = 1.29

H / (4.6 - x) = tan 28.8 = .550

H = 1.29 x

H = .55 * 4.6 - .55 x

1.84 x = 2.53        combining equations

x = 1.38

4.6 - 1.38 = 3.22

Total base of triangle = 1.38 + 3.22 = 4.6

H / x = tan 52,2 = 1.29

H = 1.29 * 1.38 = 1.78 height of triangle

Check:

1.78 / 3.22 = tan 28.9    

This agrees with the given value of 28.8

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what is it called when they check cells for cancer briefly describe how you can tell when you are repaying the oxygen deficit Read the passage. The Ornithopter Many people know Leonardo da Vinci today as an artist, and it is true that he was indeed a great painter and sculptor, but he was also an inventor and one of the first individuals in recorded history to draft detailed plans for a flying machine. In order to make a living, Leonardo often depended upon wealthy individuals who would commission work from him. That means they would hire him and pay him to create specific work they wanted. In 1482, when he was 30 years old, Leonardo heard of an opportunity to work for Ludovico Sforza, the Duke of Milan. The duke, however, did not want a painter; he wanted a military engineer to help him defend the city against its enemies. This was an excellent opportunity that would pay Leonardo well, but Leonardo was a peaceful man. He considered war to be "a beastly madness. " He preferred to make things of beauty. Leonardo made the decision that he could tolerate making weapons if the resources the duke could provide would also allow him to create things he loved. He sent a letter to the duke detailing his skills in designing and building weapons. "I will assemble catapults, mangonels, trebuchets and other instruments of wonderful efficiencyI will make an infinite number of items for attack and defense," he wrote. Leonardos letter convinced the duke of his talents, and he got the job. He set about designing the weapons that the duke desired. But Leonardo was infinitely creative, always thinking of new things, new ideas"he could not be limited to weapons alone. One idea that he had not mentioned in his application was the ornithopter. It was not a weapon of war, and it was not something that the duke had asked for, but Leonardo went ahead and designed it anyway. Leonardo was fascinated by the idea of flight. The word "ornithopter" comes from two words meaning "bird" and "wings. " And on first inspection, his plans resembled a birds wings attached to a human beings arms. He concluded that a human beings arms were neither strong enough nor li. How about: 371378. Simplify this, if you please. Last week, Adriana made a batch of peanut butter ice cream from scratch. She used 2 cups of peanut butter and 6 cups of cream. It was so good that she made another batch this week. This time, she used 3 cups of peanut butter and 9 cups of cream. Which batch had a stronger peanut butter flavor? Find the product of 51 and -2.5.Use the distributive property to rewrite and solve.The first step is done for you.51(-2.0) + 51(-0.5)What is the next step in using the distributive property to solve this equation?A) -102 + 25.5B) 102 + (-25.5)C) -102 + (-25.5)D) -102 + (-25) One major reason european countries engaged in imperialism in the late 19th century was to: Calculate the mass percentage of each element in aluminum oxide. Which algebraic function has a smaller rate of change than the equation?f(x)=2x9 Which does not apply to unbalanced forces?Net force = 0Have directionNet force does not = 0Changes an object's motion jorDANTHE GOD HOW ARE U Can someone plz help Me? A grocery store introduced two new flavors of scones: cranberry and orange.On the first day, 28 cranberry scones and 16 orange scones were sold.Each day after that, 14 cranberry scones and 11 orange scones were sold.Drag the tiles to complete the table. Each tile may be used once, more than once, or not at all. Which of the following best explains the changes on the map between 1644 and 1800? A metric drawing scale of 1:100 typically depicts units in which explanations accurately describe how cell structures interact in order to maintain homeostasis? select all that apply. Find the x in the figure. Assume a and b are parallel anyone play Genshin Impact? A cross-functional work team is having difficulties in operating smoothly, and friction has developed among some of the members. Many of the strongest complaints are from the representatives of management who complain that the research scientists are disorganized, haphazard, and undisciplined. Managers complain that the scientists do not adhere to any fixed rules or procedures. On the other hand, the research scientists complain that the managerial representatives are excessively rule-oriented bureaucrats and have no flexibility or spontaneity. The MAIN problem with this team seems to be centered around differences in: _________a interpersonal orientation b.time orientation c goal orientation d. formality of structure Please helpUse the function f(x)=25x to fill out the table.x f(x)-2 ___-1 ___0 ___1 ___2 ___