Spring compressed 10cm by 100N force and held in place with Pin. Pin is pulled and block is pushed Up the incline. Uk(coefficient of kinetic energy)=. 39
Determine the speed of block after the Spring extends forward 7cm,
Determine the height at which the block will stop moving
Determine the length of the incline such that the leading edge of the block is stopped when the block reaches the end of the incline.
Answers
The compression of 10 cm by a 100 N force on the plane that has a
coefficient of friction of 0.39 give the following values.
The velocity of the block after the Spring extends 7 cm is approximately 1.73 m/sThe height at which the block stops rising is approximately 1.1415 mThe length of the incline is approximately 1.536 mHow can the velocity and height of the block be calculated?Mass of the block, m = 3 kg
[tex]Spring \ constant, K = \dfrac{100 \, N}{0.1 \, m} = \mathbf{ 1000\, N/m}[/tex]
Coefficient of kinetic friction, [tex]\mu_k[/tex] = 0.39
Therefore, we have;
Friction force = [tex]\mathbf{\mu_k}[/tex]·m·g·cos(θ)
Which gives;
Friction force = 0.39 × 3 × 9.81 × cos(48°) ≈ 7.68
Work done by the motion of the block, W ≈ 7.68 × d
The work done = The kinetic energy of the block, which gives;
[tex]\mathbf{\dfrac{1}{2} \times k \cdot x^2 }= 7.68 \cdot d[/tex]
The initial kinetic energy in the spring is found as follows;
K.E. = 0.5 × 1000 N/m × (0.1 m)² = 5 J
The initial velocity of the block is therefore;
5 = 0.5·m·v²
v₁ = √(2 × 5 ÷ 3) ≈ 1.83
Work done by the motion of the block, W ≈ 7.68 N × 0.07 m ≈ 0.5376 J
Chane in kinetic energy, ΔK.E. = Work done
ΔK.E. = 0.5 × 3 × (v₁² - v₂²)
Which gives;
ΔK.E. = 0.5 × 3 × (1.83² - v₂²) = 0.5376
Which gives;
The velocity of the block after the Spring extends 7 cm, v₂ ≈ 1.73 m/sThe height at which the block will stop moving, h, is given as follows;
[tex]At \ the \ maximum \ height, \ h, \ we \ have ; \ \dfrac{1}{2} \times 1000 \times 0.1^2 = 7.68 \times x[/tex]
Which gives;
[tex]Length \ of \ the \ incline \ at \ maximum \ height, \ x_{max} =\dfrac{ 7.68 }{ \dfrac{1}{2} \times 1000 \times 0.1^2 } \approx 1.536[/tex]
The distance up the inclined, the block rises, at maximum height is therefore;
[tex]x_{max}[/tex] ≈ 1.536 m
Therefore;
h = 1.536 × sin(48°) ≈ 1.1415
The height at which the block stops rising, h ≈ 1.1415 mFrom the above solution for the height, the length of the incline is he
distance along the incline at maximum height which is therefore;
Length of the incline, [tex]x_{max}[/tex] = 1.536 mLearn more about conservation of energy here:
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Explanation:
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•Question⟿What is meant by solenoid?
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Explanation:
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CH3CH2CH2OH →CH3CH = CHCH3 + H2O
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a. What PBR catalyst weight is necessary to achieve 80% conversion in the absence of pressure drop?
b. What "fluidized CSTR" catalyst weight is necessary to achieve 80% conversio?
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A) The PBR catalyst weight that is required to achieve 80% conversion in the absence of pressure drop is : 370 mg
B) The fluidized CSTR catalyst weight necessary to achieve 80% conversion is : 995.025 g
A) Determine the PBR catalyst weightTo calculate the PBR catalyst weight required to achieve 80% conversion in the absence of pressure drop we will apply the equation below
w = [tex]\frac{V_{o} }{KC_{ao}(1/x - 1 ) }[/tex] ---- ( 1 )
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B) Determine the fluidized CSTR catalyst weight necessary to achieve 80% conversion
applying the equation below
W = [tex]\frac{Fbwx}{-r'Bu}[/tex]
= [tex]\frac{50kmol/r * 0.8}{0.042mol/gcat.h}[/tex]
= 995.025 gcat
Hence we can conclude that The PBR catalyst weight that is required to achieve 80% conversion in the absence of pressure drop is : 370 mg The fluidized CSTR catalyst weight necessary to achieve 80% conversion is : 995.025 g.
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Answer:
Explanation:
4.0/5
10
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Electrical power = (voltage) x (current)
Electrical energy = (power) x (time)
Combine those definitions:
Energy = (voltage) x (current) x (time)
Divide each side by (voltage x time), and we have
Current = Energy / (voltage x time)
You told us that
Energy = 1.8 x 10⁷ joules
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If you live in the US, Canada, or Mexico, your voltage is 120 volts.
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The acceleration is derived from the some other quantities like change in velocity / time take . If we see carefully that formula of acceleration you find that it is basically derived from fundamental quantities therefore acceleration is called a derived quantities.
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Answer:
light waves can travel in vacuum but sound waves require a medium to travel
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Hi there!
We know that there are TWO forces acting on the man.
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Answer:
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Answer:
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Answer:
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Answer:
b
Explanation:
Answer:
its b, the sun is directly over earths north end
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Horizontal component of ball, u = 0 m/s.
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Answer:
sum of the kinetic and potential energy
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Answer:
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For an accurate design of the pendulum that will match the period, the length of the pendulum clock must be 0.25 m.
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[tex]T = 2\pi \sqrt{\frac{l}{g} }[/tex]
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L is the length of the pendulumg is acceleration due to gravityT is the period of the oscillationMake "L" the subject of the formula in the above equation.
[tex]\frac{T}{2\pi} = \sqrt{\frac{l}{g }} \\\\\frac{T^2}{4\pi^2} = \frac{l}{g} \\\\l = \frac{gT^2}{4\pi ^2} \\\\l = \frac{(9.8)(1)^2}{4\pi ^2} \\\\l = 0.25 \ m[/tex]
Thus, the length of the pendulum clock is 0.25 m.
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How do the potential and kinetic energy of the cart change at each point in the diagram?
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Answer:
Potential -> Kinetic -> Potential ->
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Answers
Answer:
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Vf = Vi - g t = 0 where Vi is initial velocity and Vf the velocity at max height
Vf = 12 - g t = 0 t = 12 / g time to reach max height
For the downwards trajectory
Vf = Vi + g t = 0 + g t = g * 12 / g = 12 where t was found above
We know the from 2 g h = Vf^2 - Vi^2, since the height is the same in both directions, that the ball reaches the ground with at the same speed at which it was sent.
Also, conservation of energy shows that the ball must return to the ground with the speed with which was projected.
A rock is dropped from a cliff that is 80 m above the ground. What is the velocity of the rock when it hits the ground? (hint: acceleration due to gravity g = 9.81 m/s2)
Answers
Answer:
45.1 m/s
Explanation:
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T
F
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Answer:
f
Explanation:
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Answers
Image C is a convex lens.An optical lens is made up of two spherical surfaces is convex lens.Its surfaces are curved outwards.
What is convex lens ?An optical lens is made up of two spherical surfaces is convex lens The lens is called a biconvex lens or simply convex lens if those surfaces are curved outwards.
Converging lens is another name for it. It's because it brings all the light rays that are parallel to the primary axis together at the focus point (F).
The picture created by a convex lens is always real and inverted. The produced image is virtual and erect when the item is positioned between the focus and the optical center of the lens.
Hence image C is a convex lens.
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Answer:
C
Explanation:
A gas has an initial pressure of 50kpa at a temperature of -67°c. calculate
the final pressure of this gas if its temperature is increased to 398°c at a
constant volume.
Answers
Answer:
the pressure will be 297.01 kpa