Determine the work done by the force Fx=(6x-4)N as the object moves from x1=0 to x2=3 m.
Answers
Answer:
15J
Explanation:
Let's assume force and motion have the same direction, so the dot product between the two reduces to the product of magnitudes.
If you studied calculus: [tex]w= \int \limits^3_0 6x-4dx[/tex], by definition. Some "easy" math, that's [tex](3x^2-4x)\limits^3_0=27-12 - 0 = 15 J[/tex]
Else. we have to take the long way. if the force was constant, and you plotted magnitude of the force vs position in a graph, you would get an horizontal line, and your work would be the area between the line and the x axis. And there is no reason why it shouldn't be the same for a variable force - if you think about it, it's the same way they justify the position formula for an accelerated motion. Let's graph it and start debating - sorry for my paint skills. We can easily say that in the green triangle the force is opposing the motion, so its work is negative, while in the blue area force and displacement go in the same direction, thus work is positive. Now it's just to calculate the area of two triangles
For the green one, it's a right triangle with side lengths 4 and 2/3, whose area is [tex]\frac12(4)(\frac23) = \frac43[/tex].
For the blue triangle, it's again a right triangle with side lengths 14 and 3-2/3= 7/3, whose area is [tex]\frac12(14)(\frac73) = \frac{49}3[/tex]
Our total work is the difference between the two, or [tex]w= \frac{49}3-\frac43 = \frac{45}3 = 15[/tex]
Related Questions
newtons 2nd law of the law of…
Answers
Sound is repeated near hills. Give reason
Answers
Explanation:
Sound is repeated near hills due to reverberation. The sound effect is prolonged is an empty room because , in a furnished room, reverberation occurs less than in a room with no furniture.
Answer:
sound that occurs in nature, such as those of animal, trees, people, the wind, the rain, etc. are the natural sounds. it is heard near the hill because of the echo and the reverberation of the sound
what is the main difference between a substance going through a physical change and one going through a chemical ?
Answers
Answer: Physical changes only change the appearance of a substance, not its chemical composition. Chemical changes cause a substance to change into an entirely substance with a new chemical formula. Chemical changes are also known as chemical reactions.
Answer:
just give the other person brainlyest
Explanation:
ignore this i put the wrong grade sorry
Answers
Answer:
Oh its fine i am not in college but its still fine
Explanation:
How much work must be done to stop a 925-kg car traveling at 95 km/h?
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The amount of work done to stop the car is equal to 322,099.85 Joules.
Given the following data:
Mass = 925 kilogramsVelocity = 95 km/hConversion:
Velocity = 95 km/h = [tex]\frac{95 \times 1000}{60 \times 60} = 26.39 \;m/s^2[/tex]
To determine the amount of work done to stop the car, we would apply the work-energy theorem:
Note: The amount of work done must balance the kinetic energy possessed by the car due to its motion.
From the work-energy theorem, we have:
[tex]Work\done = \Delta K.E\\\\Work\done = \frac{1}{2} MV^2[/tex]
Substituting the given parameters into the formula, we have;
[tex]Work\;done = \frac{1}{2} \times 925 \times (26.39)^2\\\\Work\;done =462.5 \times 696.4321[/tex]
Work done = 322,099.85 Joules
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What are nucleic acids, and what are their function and structure? Give an example
Answers
2) Their function and structure is carry genetic information which is read in cells to make the RNA and proteins by which living things function.
Block 1, of mass m1, moves across a frictionless surface with speed ui. It collides elastically with block 2, of mass m2, which is at rest (vi=0). (Figure 1)After the collision, block 1 moves with speed uf, while block 2 moves with speed vf. Assume that m1>m2, so that after the collision, the two objects move off in the direction of the first object before the collision. What is the final speed vf of block 2?
Answers
The conservation of the momentum allows to find the velocity of the second body after the elastic collision is:
[tex]v_f = \frac{2u_o}{1- \frac{m_2}{m_1} }[/tex]
the momentum is defined by the product of the mass and the velocity of the body.
p = mv
The bold letters indicate vectors, p is the moment, m the mass and v the velocity of the body.
If the system is isolated, the forces during the collision are internal and the it is conserved. Let's find the momentum is two instants.
Initial instant. Before crash.
p₀ = m₁ u₀ + 0
Final moment. After crash.
[tex]p_f = m_1 u_f + m_2 v_f[/tex]
The momentum is preserved.
p₀ = [tex]p_f[/tex]
[tex]m_1 u_o = m_1 u_f + m_2 v_f[/tex]
Since the collision is elastic, the kinetic energy is conserved.
K₀ = [tex]K_f[/tex]
½ m₁ u₀² = ½ m₁ [tex]u_f^2[/tex] + ½ m₂ [tex]v_f^2[/tex]
Let's write our system of equations.
[tex]m_1 u_o = m_1 u_f + m_2 v_f \\m_1 u_o^2 = m_1 u_f^2 + m_2 v_f^2[/tex]
Let's solve
[tex]u_f = u_o - \frac{m_2}{m_2} \ v_f \\u_f^2 = u_o^2 - \frac{m_2}{m_1} \ v_f^2[/tex]
[tex]( u_o - \frac{m_2}{m_1} v_f)^2 = u_o - \frac{m_2}{m_1} \ v_f^2 \\u_o^2 - 2 \frac{m_2}{m_1} \ u_o v_f + (\frac{m_2}{m_1} )^2 v_f^2 = u_o^2 - \frac{m_2 }{m_1} \ v_f^2[/tex]
[tex]2 \frac{m_2}{m_1} \ u_o = \frac{m_2}{m_1} v_f \ ( 1 - \frac{m_2}{m_1}) \\v_f = \frac{2u_o}{1-\frac{m_2}{m_1} }[/tex]
In conclusion, using the conservation of momentum, we can find the velocity of the second body after the elastic collision is:
[tex]v_f = \frac{2u_o}{1-\frac{m_2}{m_1} }[/tex]
Learn more here: brainly.com/question/8351094
10. Which of the following will happen to the respiratory-associated muscles if you were to blow up a balloon?
A. Diaphragm contracts, Internal intercostal would relax
B. Diaphragm would contract, external intercostal would relax
C. Internal intercostal and abdominal muscles would contract
D. External intercostal would contract and diaphragm would relax
Answers
Answer:
C
for sure
go for it
..............
What nation recently blew up one of its own satellites as part of a missile test, triggering a warning from the u.s. over a potentially dangerous debris field?
Answers
Answer:
Russia
Explanation:
my answer was deleted for no reason. apparently i was violating community guidelines when i wasnt. anyways, the answer is russia...
The surface of this planet is obscured by an atmosphere of thick clouds and toxic gases. What planetary body is it
Answers
Answer:
Venus....
Explanation:No explanation just simple answers
A helicopter travelling at a velocity of 15 m/s [W] accelerates uniformly at a rate of 7.0 m/s2 [E] for 4.0 s. What is the helicopter’s final velocity?
Answers
If we take West to be the negative direction, then the initial velocity is -15 m/s and the acceleration (which points East) is +7.0 m/s².
After t = 4.0 s, the helicopter's velocity is
-15 m/s + (7.0 m/s²) (4.0 s) = +13 m/s
or 13 m/s [E].
Please find attached photograph for your answer.
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A car was driving at a speed of 10 m/s. In 3 seconds, it accelerated to a speed of 50 m/s. Calculate the car's acceleration.
30 m/s2
16.7 m/s2
13.3 m/s2
Answers
Answer:
[tex]\boxed {\boxed {\sf 13.3 \ m/s^2}}[/tex]
Explanation:
Acceleration is the rate of change of velocity with respect to time. It is the change in velocity over the change in time, and it is calculated using the following formula.
[tex]a= \frac{ v_f-v_i}{t}[/tex]
The car starts at a speed of 10 meters per second, then it accelerates to a speed of 50 meters per second. It achieves this acceleration in 3 seconds.
[tex]v_f[/tex]= 50 m/s[tex]v_i[/tex]= 10 m/s t= 3 sSubstitute the values into the formula.
[tex]a= \frac{50 \ m/s - 10 \ m/s}{3 \ s}[/tex]
Solve the numerator.
50 m/s -10 m/s= 40 m/s[tex]a= \frac{40 \ m/s}{3 \ s}[/tex]
Divide.
[tex]a= 13.3333333 \ m/s/s[/tex]
[tex]a \approx 13.3 \ m/s^2[/tex]
The car's acceleration is approximately 13.3 meters per second squared.
Imagine you have a ball tied to the end of a string. You hold the other end of the string and swing it around. Suppose the string breaks, what direction will the ball travel
Answers
An object of mass of 2.0 kg rotates at constant speed in a horizontal circle of radius 5.0 m. The time
for one complete revolution is 3.0 s. What is the magnitude of the resultant force acting on the object.
Answers
Explanation:
follow the above attachment to get the answer.
If a train travels 25 miles in 2 hours 15 minutes, what is its average speed in miles per hour? 11. 1 mph 12. 5 mph 10 mph 9. 1 mph.
Answers
Answer:
11.1
Explanation:
2 hours 15 mins = 2 1/4 hours
2 1/4 hours = 25 miles
1 hour = 25 ÷ 2 1/4 = 25 ÷ 9/4 = 25 x 4/9 = 11.1 miles
In a titration, 50.00 cm3 of 0.300 mol/dm3
sodium hydroxide solution is exactly neutralized by 25.0
cm3 of a dilute solution of hydrochloric acid.
NaOH(aq) + HCl(aq) → NaCl(aq) + H2O(l)
Calculate the concentration of the hydrochloric acid. Show your work out
PLS URGENT ANS
Answers
Answer:
Step 1: Calculate the amount of sodium hydroxide in moles
Volume of sodium hydroxide solution = 50.0 ÷ 1,000 = 0.05 dm3
Rearrange:
Concentration in mol/dm3 = amount of solute in molvolume in dm3
Amount of solutein mol = concentration in mol/dm3 × volume in dm3
Amount of sodium hydroxide = 0.300 × 0.05
= 0.01 5mol
Step 2: Find the amount of hydrochloric acid in moles
The balanced equation is: NaOH(aq) + HCl(aq) → NaCl(aq) + H2O(l)
So the mole ratio NaOH:HCl is 1:1
Therefore 0.015 mol of NaOH reacts with 0.015 mol of HCl
Step 3: Calculate the concentration of hydrochloric acid in mol/dm3
Volume of hydrochloric acid = 25.00 ÷ 1000 = 0.025 dm3
Concentration in mol/dm3 = amount of solute in molvolume in dm3
Concentration in mol/dm3 = 0.015/0.025
= 0.6 mol/dm3
Step 4: Calculate the concentration of hydrochloric acid in g/dm3
Relative formula mass of HCl = 1 + 35.5 = 36.5
Mass = relative formula mass × amount
Mass of HCl = 36.5 × 0.6
= 21.9 g
So concentration = 21.9 g/dm3
What is the total amount of potential and kinetic energy in a system? *
1 point
A: Electrical energy
B: Heat energy
C: Mechanical energy
D: Nuclear energy
Answers
Answer:
C. Mechanical Energy
Explanation:
The total amount of mechanical energy is merely the sum of the potential energy and the kinetic energy.
Two conditions must
be met for work to be done, what are they?
Answers
The two conditions are:
1) Application of-force on the body.
2) Displacement of the body in the direction of force.
Hope this helps!
hannah drove 360 mi in 5.2 hours. What was her average speed?
Answers
Explanation:
When you take the number of miles and divide it by the number of hours you get 69.2 (when rounded)
That is how fast she went per hour
A person makes a loud sound and hears the echo of this sound 1.2s later .calculate how far the person is from the object causing the echo assume that the speed of sound is 330m/s calculate the distane
Answers
Answer:
198m
Explanation:
Distance = speed x time
. d = 330m/s x 1.2s = 396m
This is the distance travelled by the sound from the person to the object and then back to the person. To get the distance from the person to the object, we would have to divide by 2.
. distance = 396 / 2 = 198m
IF THE VECTOR COMPONENTS OF VECTOR A ARE MULTIPLIED BY 9 THEN THE MAGNITUDE OF VECTOR A IS INCREASES BY A FACTOR OF .........
Answers
Answer:
it increased by 29 sorry hope this helps
- A cylinder of volume 5.0 x 103 cm3 contains air at a pressure of 8.0 x 105 Pa.
A leak develops so that air gradually escapes from the cylinder until the air in the cylinder
is at atmospheric pressure. The pressure of the atmosphere is 1.0 x 105 Pa.
Calculate the volume of the escaped air, now at atmospheric pressure. Assume that the
temperature stays constant.
Answers
Answer:
10
Explanation:
if you put 10 your right
change 176°F to the Celsius and Kelvin scales. pura batana kese hua fir answer dena plzz
Answers
Formulas change from F to degree C : C = (F – 32) / 1.8
so we have (176-32) /1.8= 80 oC
Formulas change from F to degree K : K = 5 / 9 x (F – 32) + 273.15
so we have 5/9 x (176-32) + 273.15 = 353 oK
ok done. Thank to me :>
A ball of mass 2.0 kg is travelling at a speed of 12 m/s. It moves towards an object of mass 3.0 kg which is at rest.
The ball hits the object and sticks to it.
Which row gives the total momentum, and the speed of both objects immediately after the collision?
total momentum (kg m/s)
A- 0
B- 0
С- 24
D- 24
AND..
speed (m/s)
A- 4.8
B- 8.0
C- 4.8
D- 8.0
Answers
Please find attached photograph for your answer.
Hope it helps.
Do comment if you have any query.
The velocity for the entire trip is 0.4 m/s as It takes her 500 seconds to make the round trip and 60 kg • m/s2 = (45 kg • v) + (20 kg • 3 m/s).
Path 1 = 400 m В B. A Path 2 = 200 m Path 3 = 300 m. Thus, option C is correct.
What is velocity?A particle's settling velocity known as the rate at which is travels through a still fluid. The specific gravity of the particles, their size, and their shape all have an impact on settling velocity.
A particle in still air will gravitationally settle and reach its terminal velocity fairly quickly. A particle's terminal velocity in a still fluid is referred to as the settling velocity (also known as the "sedimentation velocity").
Understanding variations in the hydraulic regime and interactions between sediment and fluid in the surf zone depends heavily on the particle settling velocity at the foreshore region. In contrast to sedimentation, which is the end product of the settling process, settling is the movement of suspended particles through the liquid.
Therefore, Thus, option C is correct.
Learn more about velocity on:
https://brainly.com/question/19979064
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a force that is at rest or moves in at a constant speed and in a constant direction is called a what force
Answers
The question is fishing for "balanced force".
But the description in the question is terrible.
I will give Brainliest answer and 5 stars
Jay decides to walk home from school today. He lives 3 miles from school and can walk home in 45 minutes. At what rate is Jay traveling?
A. 1 mile/10 minutes
B. 1 mile/15 minutes
C. 1 mile/20 minutes
D. 1 mile/30 minutes
Answers
Answer:
James is traveling at 4 miles per hour.
Explanation:
3 miles per 45 minutes
x miles per 60 minutes(1 hour)
___________________
3*60=45*x
180=45x |:45
x=4
Wind energy is the example of A) potential energy B)mechanical energy C) Kinetic energy
Answers
Answer:
Kinetic Energy
Explanation:
Its on the internet
As the distance between two objects changes, how does the gravitational force between them change?
Answers
Answer:
Explanation:
The gravitational force = G * m1 * m2 / r^2
That means as the distance increases, r get's bigger and m1 and m2 don't change, the force decreases. Read that sentence carefully. In physics, it is very important to know what goes up and goes down means and especially why.
1. If the mass of an object is measured in kg and the velocity is measured in m/s, what is the unit for momentum?
Answers
The unit for momentum is equal to Kgm/s.
Given the following data:
Unit of mass = Kilogram (kg).Unit of velocity = meter per seconds (m/s).To determine the unit for momentum:
What is momentum?In Science, momentum can be defined as a multiplication of the mass of an object and its velocity.
Mathematically, momentum is giving by this formula;
[tex]Momentum = mass \times velocity[/tex]
Substituting the given parameters into the formula, we have;
[tex]Momentum = kg \times m/s\\\\[/tex]
Momentum = Kgm/s.
Read more on momentum here: brainly.com/question/15517471
When you mix pigments together, why does the resulting color always look darker?
Answers
Answer:
because you are not only mixing the colors u are also mix the colors in side the colors for example if u take pink red and white and mix it with green blue and yellow it will make it darling because if the inside colors