Answer:
Digital logic is the basis of computing and many other electronic devices as well as control systems found in this continually advancing digital world.
(too short, sorry)
The temperature coefficient of resistivity for copper is 0.0068 (C°)-1. If a copper wire has a resistance of 104 Ω at 20°C, what is its resistance 80°C?
Answer:
R₈₀ = 146.43 Ω
Explanation:
The resistance of a resistor depends upon many factors. One of the main factors of the change in resistance of a resistor is the change in temperature. The formula for the resistance at a temperature other than 20°C is given as follows:
R₈₀ = R₀(1 + αΔT)
where,
R₈₀ = Resistance of wire at 80°C = ?
R₀ = Resistance of wire at 20° C = 104 Ω
α = Temperature coefficient of resistance for copper = 0.0068 °C⁻¹
ΔT = T₂ - T₁ = 80°C - 20°C = 60°C
Therefore,
R₈₀ = (104 Ω)[1 + (0.0068°C⁻¹)(60°C)]
R₈₀ = 146.43 Ω
When 50 mL of water is added, the graduated cylinder has a mass of 180 g. If a rook is added to the graduated cylinder, the water level rises to 90 mL and the total mass is now 270 g. What is the density of the rock?
Answer:
14
70g/(35mL-30mL)=14g/mL
Explanation:
When a skater pulls her arms in, it
reduces her moment of inertia from
2.12 kg m² to 0.699 kg-m². If she was
initially spinning 3.25 rad/s, what is
her final angular velocity?
The skater's final angular velocity is approximately 9.86 rad/s.
The skater's final angular velocity can be calculated using the principle of conservation of angular momentum. The equation for angular momentum is given by:
L = Iω
where L is the angular momentum, I is the moment of inertia, and ω is the angular velocity.
Initially, the skater has an angular momentum of:
L_initial = I_initial * ω_initial
Substituting the given values:
L_initial = 2.12 kg m² * 3.25 rad/s
The skater's final angular momentum remains the same, as angular momentum is conserved:
L_final = L_initial
The final moment of inertia is given as 0.699 kg m². Therefore, the final angular velocity can be calculated as:
L_final = I_final * ω_final
0.699 kg m² * ω_final = 2.12 kg m² * 3.25 rad/s
Solving for ω_final:
ω_final = (2.12 kg m² * 3.25 rad/s) / 0.699 kg m²
Hence, the skater's final angular velocity is approximately 9.86 rad/s.
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Which has a bigger impact on force charge or distance
Help! Il give brainlest to who answers first
Answer:
1. The density of the cube is 1.03 g/mL.
2. Dish soap
Explanation:
1. Determination of the density of the cube.
From the question given above, the following data were obtained:
Mass (m) of cube = 21.7 g
Volume (V) of cube = 21 mL
Density (D) of cube =?
The density of a substance is simply defined as the mass of the substance per unit volume of the substance. Thus, density can be expressed mathematically as:
Density (D) = mass (m) / volume (V)
D = m / V
With the above formula, we can obtain the density of the cube as follow:
Mass (m) of cube = 21.7 g
Volume (V) of cube = 21 mL
Density (D) of cube =?
D = m / V
D = 21.7 / 21
D = 1.03 g/mL
Thus, the density of the cube is 1.03 g/mL.
2. Determination of the layer of density the cube will settle in.
From the question given above,
Subtance >>>>>>>> Density
Vegetable oil >>>>> 0.91 g/mL
Grape juice >>>>>> 0.97 m/L
Water >>>>>>>>>>> 1 g/mL
Dish soap >>>>>>>> 1.03 g/mL
Maple syrup >>>>>> 1.37 g/mL
Comparing the density of the cube (i.e 1.03 g/mL) with those in the table able, we can conclude that the cube will settle in the DISH SOAP layer since they both have the same density.
What type of tv uses a VfL for backlighting
A VfL (Vertical Field LED) backlighting system is commonly used in LCD (Liquid Crystal Display) televisions.
LCD TVs rely on a backlight to illuminate the liquid crystal layer, which controls the passage of light to create the visual image. The VfL technology is a specific type of LED backlighting arrangement used in certain LCD TV models. In a VfL backlighting system, the LEDs (Light-Emitting Diodes) are positioned vertically along the edges of the LCD panel.
The light emitted by these LEDs is directed across the panel using light guides or optical films, illuminating the liquid crystal layer uniformly. One advantage of VfL backlighting is its ability to provide consistent illumination across the LCD panel, reducing any potential inconsistencies in brightness or color uniformity. The vertical orientation of the LEDs allows for more precise control over light distribution, improving overall image quality.
Additionally, VfL backlighting offers potential advantages in terms of power efficiency. By selectively dimming or turning off specific zones of LEDs, local dimming techniques can be employed to enhance contrast and black levels, resulting in improved picture quality while conserving energy. It's important to note that VfL backlighting is just one of several backlighting technologies available for LCD TVs.
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2. Two particles P and Q are shot vertically up. T
Particle P is first up with a velocity 40ms-¹. After
4s, particle Q is also shot up. Find 01 -
(a) where the two particles meet, if at the point of
meeting, P has velocity of 15ms™¹.
(b) the velocity with which Q is shot. (g = 10ms-²)
(000)(9)
(a) The position where particle Q and P meet is 68.75 m.
(b) The velocity with which particle Q is shot is 15 m/s.
Time at which the two particles meet each otherThe time elapsed before the two particles meet is calculated as follows;
Distance Q - Distance P = Distance between them
Distance traveled by particle P:Trise = (V - V₀)/g
Trise = (0 - 40) / -10
Trise = 4.0 s
Hmax = V₀t + 0.5gt²
Hmax = 40 x 4 - (0.5)(10)4²
Hmax = 80 m.
P is falling when Q is moving up:h = Hmax - (V² - V₀²)/2g
h = 80 - ((15)²- 0) / 20
h = 68.75 m.
Thus, the position where particle Q and P meet is 68.75 m
Tfall = (V - V₀)/g = (15-0) / 10
Tfall = 1.5 s
Fall time. = Rise time for Q.
Distance traveled by particle Q:h = V₀t + 0.5gt²
h = 80 - 68.75
h = 11.25
V₀ x 1.5 - 5(1.5)² = 11.25
V₀ x 1.5 - 11.25 = 11.25
V₀ x 1.5 = 22.5
V₀ = 22.5 / 1.5
V₀ = 15 m/s
Thus, the velocity with which particle Q is shot is 15 m/s.
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An electric car can accelerate from rest to 96.5 km/h (this is often called “from 0 to 60” measured in miles per hour) in 2.4 s. Find the power of the car, given its mass of 1961 kg
We can start by finding the acceleration of the car:a = Δv/Δt = (96.5 km/h)/(2.4 s) = 40.21 m/s^2
Next, we can find the force required to accelerate the car:F = ma = (1961 kg)(40.21 m/s^2) = 78914.81 N
Finally, we can find the power of the car:P = Fv = (78914.81 N)(96.5 km/h) = 2.84 x 10^6 W
Therefore, the power of the car is approximately 2.84 megawatts.
which statement about the image Formed by a plane mirror is correct?
1. the image is larger then the object
2. the image is smaller then the object
3. the image is twice as far from the mirror as the object
4. the image is virtual.
Answer:
The image is virtual
number-4
a stunt man drops from a building and falls 15m down onto a giant air mattress a) How much time does it take for the stunt man to hit the air mattress.
B.) What is his velocity as he slams into the mattress (# and direction)
please draw a sketch also!!
The time taken is √3 s and the velocity with he lands is 17.3 m/s.
What is the time taken?In this case, we have to use the equations of kinematics as it has to do with motion under gravity. We know that;
h = ut + 1/2gt^2
h = height
u = initial velocity
g = acceleration due to gravity
t = time taken
Given that u = 0 m/s because the object was dropped from a height.
h = 1/2gt^2
t = √2h/g
t = √2 * 15/10
t = √3 s
The velocity with which he falls is obtained from;
v = u + gt
v = gt
v = 10 m/s^2 * √3 s
v = 17.3 m/s
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Help Me Please
8th grade science, one question
Calculating Displacement under Constant Acceleration
Use the information from the graph to answer the
question.
Velocity (m/s)
40
30
20
10
0
Velocity vs. Time
0 5
10
15
Time (s)
20
25
What is the total displacement of the object?
I
m
Answer:
1 km
Explanation:
displacement =velocity ×time
displacement =40m/s ×25s
displacement =1000m equivalent to 1km
1. A charge of 6.4 C passes through a cross-sectional area or conductor in 2s. How much charge will pass through a cross sectional area of the conductor in 1 min?
The amount of charge that will pass through the cross-sectional area of the conductor in 1 min is 192 C.
What is the amount of charge?
We can use the formula Q = I * t,
where;
Q is the amount of charge, I is the current, and t is the time.Given that a charge of 6.4 C passes through a cross-sectional area of the conductor in 2 s, we can find the current using the formula:
I = Q / t = 6.4 C / 2 s = 3.2 A
So, the current through the conductor is 3.2 A.
To find the amount of charge that will pass through the cross-sectional area of the conductor in 1 min (60 s), we can use the same formula:
Q = I * t = 3.2 A * 60 s = 192 C
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a cargo of mass 50kg fall freely from rest at a height of 100m and came to rest having penetrated 5.0cm of the ground
calculate the time taken to fall
calculate the velocity of the body when it hits the ground
Answer:
A.) 4.52s
B.) 44.3 m/s
Explanation:
Given that a cargo of mass 50kg fall freely from rest at a height of 100m and came to rest having penetrated 5.0cm of the ground
The total height = 100 + 5/100
The total height = 100 + 0.05
The total height = 100.05 m
Since the cargo fall from rest, the initial velocity U will be equal to zero. That is,
U = 0
Use second equation of motion
h = Ut + 1/2gt^2
Substitutes g = 9.8 and others parameters into the formula
100.05 = 0 + 1/2 × 9.8 × t^2
100.05 = 4.9t^2
t^2 = 100.05/4.9
t^2 = 20.42
t = sqrt( 20.42)
t = 4.52 s
B.) To calculate the velocity of the body when it hits the ground,
You can achieve it by first calculating its kinetic energy. Or by using the first equation of motion.
So, let use first equation of motion
V = U + at
But U = 0
Substitute the time and g into the formula
V = 9.8 × 4.52
V = 44.29 m/s
Therefore, the velocity of the body when it hits the ground is 44.3 m/s approximately.
Answer:
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Explanation:
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A dandelion seed floats to the ground in a mild wind with a resultant velocity of 26.0 cm/s. If the horizontal component velocity due to the wind is 10.0 cm/s, what is the vertical component velocity? Show all work.
Answer:
24 cm/s
Explanation:
Applying
Pythagoras theorem,
a² = b²+c²............. Equation 1
Where a = resultant, b = vertical component, c = horizontal component
From the question,
Given: a = 26 cm/s, c = 10 cm/s
Substitute these values into equation 1
26² = b²+10²
676 = b²+100
b² = 676-100
b² = 576
b = √576
b = 24 cm/s
Identify equivalent terms for stored energy and energy of motion.
a. Stored energy is potential energy, and energy of motion is kinetic energy.
b. Energy of motion is potential energy, and stored energy is kinetic energy.
c. Stored energy is the potential as well as the kinetic energy of the system.
d. Energy of motion is the potential as well as the kinetic energy of the system.
Answer:
a. Stored energy is potential energy, and energy of motion is kinetic energy
Explanation:
The correct option is - a. Stored energy is potential energy, and energy of motion is kinetic energy.
Reason -
Potential energy is stored energy, whereas kinetic energy is the energy of moving things.
Kinetic energy is energy possessed by an object in motion.The energy associated with position is called potential energy .
Gold-198 is a radioactive isotope, and it has a half-life of about 2.5 days.
You have 100 grams of Gold-198. How many grams remain after 20 days?
3.125 grams
1.5625 grams
0.78125 grams
0.390625 grams
Answer: 0.390625 grams
Explanation:
A half-life of an element is the amount of time that it takes for half the mass of the element to decay.
Gold-198 having a half-life of 2.5 days therefore means that every 2.5 days, the mass is cut in half.
If there are 20 days, find out how many half-life periods there are:
= 20 / 2.5
= 8 periods
The half life is:
= Original mass * 0.5^number of half-life periods
= 100 * 0.5⁸
= 0.390625 grams
How are magnetic fields like vectors?
Answer:Magnetic fields from two sources add up as vectors at each point, so the strength of the field is not necessarily the sum of the strengths1. Magnetic fields are vectors, which means they have direction as well as size. Therefore, the sum of two magnetic fields is not simply the sum of their magnitudes2.
Explanation:
A golf ball has a mass of 0.046 kg. The final velocity of the ball
after being struck by a golf club is 50 ms-1. The golf club is in
contact with the ball for a time of 1.3 ms. Calculate the average
force exerted by the golf club on the ball.
The average force exerted by the golf club on the golf ball is equal to 1769.2N.
What is force?Force acting on an object can be described as the influence that changes the state of the object of motion or rest. The S.I. unit of force is Newton (N) and force is a vector parameter.
The mathematical formula of the 2nd law of motion for force is written as follows:
F = ma
Given the mass of the ball, m= 0.046 Kg
The golf club was in contact with the ball for time, t = 1.3 ms = 1.3 ×10⁻³s
The speed of the golf ball, v = 50 m/s
We know that, equation of motion: \(v = u + at\)
50 = 0 + a (1.3 ×10⁻³)
a = 38.46 ×10³ m/s²
The average force on the golf ball will be:
F = ma = 0.046 ×38.46 ×10³
F = 1769.2 N
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Find the cardinality of the set R₁ \ (R₁ intersection ,)(o a f k q t i s c s, (R₂).Find the value of x, y and z such that the value of polynomial 2x² + y² + 22 - 8x + 2y - 2xy + 2xz-16z + 35 is zero.
The cardinality of R₁ \ (R₁ intersection A) is 4. The given polynomial (2x² + y² + 22 - 8x + 2y - 2xy + 2xz-16z + 35) cannot be solved for x, y, and z due to insufficient equations.
Given: R₁ \ (R₁ intersection A) where R₁ = {a, f, k, q, t, i, s, c, s}, A = {R₂} and R₂ = {k, i, s, t}. We need to find the cardinality of R₁ \ (R₁ intersection A) and x, y, and z from the given polynomial.1. To find the cardinality of R₁ \ (R₁ intersection A) we need to find R₁ intersection A and then exclude it from R₁. R₁ intersection A = {k, i, s, t} which is equal to R₂. Thus, R₁ \ (R₁ intersection A) = {a, f, q, c}. The cardinality of this set is 4.2. Let's solve the given polynomial by equating it to zero.2x² + y² + 22 - 8x + 2y - 2xy + 2xz-16z + 35 = 0 2x² - 8x + y² + 2y - 2xy + 2xz - 16z + 57 = 0Complete the square for x terms and y terms. 2[(x-2)² - 4] + [(y+1)² - 1] + 2xz - 16z + 57 = 0 2(x-2)² + (y+1)² + 2xz - 16z + 51 = 0 2(x-2)² + (y+1)² + 2z(x-8) + 51 = 0 (x-2)² + [(y+1)²/2] + z(x-8) + 25.5 = 0This is the standard form of a quadratic equation in three variables. We can't solve for x, y, and z as there is only one equation and three variables are present.Summary:1. R₁ \ (R₁ intersection A) = {a, f, q, c}. The cardinality of this set is 4.2. The given polynomial is 2x² + y² + 22 - 8x + 2y - 2xy + 2xz-16z + 35. By equating it to zero and completing the square, we get (x-2)² + [(y+1)²/2] + z(x-8) + 25.5 = 0. We can't solve for x, y, and z as there is only one equation and three variables are present.For more questions on cardinality
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A car with a mass of 1200kg is traveling west at 25 m/s collides head on with highway barrier. The car comes to rest in 0.35 seconds . What is the magnitude of the force and the impulse applied to the car
The magnitude of the force and the impulse applied to the car are 85714 N and 30000 N-s respectively.
What is force?
The definition of force in physics is: The push or pull on a massed object changes its velocity. An external force is an agent that has the power to alter the resting or moving condition of a body. It has a direction and a magnitude.
The magnitude of the force applied to the car = change in momentum/time interval
= (1200 kg × 25 m/s - 1200 kg×0)/0.35 second
= 85714 N.
The impulse applied to the car = change in momentum
= (1200 kg × 25 m/s - 1200 kg×0)
= 30000 N-s.
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ou are given three pieces of wire that have different shapes (dimensions). You connect each piece of wire separately to a battery. The first piece has a length L and cross-sectional area A. The second is twice as long as the first, but has the same thickness. The third is the same length as the first, but has twice the cross-sectional area. Rank the wires in order of which carries the most current (has the lowest resistance) when connected to batteries with the same voltage difference. Rank the wires from most current (least resistance) to least current (most resistance). ResetHelp Least Current
Answer:
i₃ > i₁ > i₂
Explanation:
For this exercise we use the resistance ratio
R = ρ \(\frac{l}{A}\)
where ρ is the resistivity of the wire, in this case it is the same for all three cases, l the length and A the area of the wire.
We have three cases
a) length l = L
area A = A
b) length l = 2L
area A = A
c) length l = L
area A = 2A
we calculate the resistance for each case
a) R₁ = ρ L / A
b) R₂ = ρ 2L / A
R₂ = 2 ρ L / A
R₂ = 2 R₁
c) R₃ = ρ L / 2A
R₃ = ½ ρ L / A
R₃ = 0.5 R₁
therefore when the connect of the circuit is carried out we can use ohm's law
V = i R
i = V / R
whereby
a) i₁ = V / R₁
b) i₂ = V / 2R₁
i₂ = ½ i₁
i₂ = 0.5 i₁
c) i₃ = V / 0.5 R₁
i₃ = 2 I₁
the order from highest to lowest in the current is
i₃ > i₁ > i₂
Ben and Dan both weigh 600 N. They are doing pull-ups together. Each pull-up is 0.5 meters of distance. How much work do they each do for every pull-up? 300 J 600 J 1200 J 1500 J
Answer:
300 J
Explanation:
Work = (Force)*(distance) = 600 N ∗ 0.5 m = 300 J
When oxygen in water interacts with iron it results in O A rust forming O B) a chemical change C) oxidation O D) all of the above
A student's backpack has a mass of 9.6 kg. The student applies a force of 94.08 N [up] while walking through 1.4 km [E] to get to school. Calculate the work done by the student on the backpack
The student does zero work on the backpack because the upward force applied by the student is acting perpendicular to the backpack's displacement parallel to the ground.
why a moving body stop after some time
Explanation:
Friction acts between two surfaces in contact only and opposes the movement of one body with respect to another. Therefore friction is a force which opposes the relative motion between two bodies. If a body is moving it is slowed down by frictional force applied on it by the surface on which it is moving.
You are designing an airplane propeller that is to turn at 2400 rpm (Fig. 9.13a). The forward airspeed of the plane is to be 75.0 m/s 75.0 m/s, and the speed of the propeller tips through the air must not exceed 270 m/s 270 m/s. (This is about 80% of the speed of sound in air. If the propeller tips moved faster, they would produce a lot of noise.) What is the maximum possible propeller radius?
Answer:
r = 1.07 m
Explanation:
The maximum radius of the propeller that can be allowed is given by the following formula:
\(v = r\omega\\\\r = \frac{v}{\omega}\)
where,
r = maximum possible radius of the propeller = ?
v = maximum possible linear speed of the propeller = 270 m/s
ω = angular speed of the propeller = (2400 rpm)(2π rad/1 rev)(1 min/60 s)
ω = 251.33 rad/s
Therefore,
\(r = \frac{270\ m/s}{251.33\ rad/s}\)
r = 1.07 m
Estimate the distance (in cm) between the central bright region and the third dark fringe on a screen 5.00 m from two double slits 0.500 mm apart illuminated by 500-nm light.
Answer:
y = 1.75 cm
Explanation:
In the double-slit experiment the equation for destructive interference is
d sin tea = (m + ½)
λ
let's use trigonometry to find the angle
tan θ = y / L
as all the experiment does not occur at small angles
tan θ = sin θ / cos θ = sin θ = y / L
we substitute
y = (m + 1/2 ) λ L / d
we calculate
y = (3 + ½) 500 10⁻⁹ 5.00 / 0.5 10⁻³
y = 1.75 10⁻² m
y = 1.75 cm
With an average acceleration of -0.50 m/s^2, how long will it take a cyclist to bring a bicycle with an initial speed of 13.5 m/s to a complete stop?
The time taken for the bicycle to come to a complete stop with an initial velocity of 13.5 m/s is 27 seconds.
What is time?Time can be defined as the calculable measure of motion with respect to before and afterness.
To calculate the time it takes the cyclist to bring the bicycle to complete stop, we use the formula below.
Formula:
t = (v-u)/a.......... Equation 1Where:
t = Timev = Final velocityu = Initial velocitya = AccelerationFrom the question,
Given:
v = 0 m/s (to stop)u = 13.5 m/sa = -0.5 m/s²Substitute these values into equation 1
t = (0-13.5)/-0.5t = -13.5/-0.5t = 27 seconds.Hence the time taken for the bicycle to stop completely is 27 seconds.
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why the bodies of water important for recreation
Explanation:
Recreational water activities can have substantial benefits to health and well-being. Swimming pools, beaches, lakes, rivers and spas provide environments for rest and relaxation, physical activity, exercise, pleasure and fun. Yet they also present risks to health.
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