block a has a weight of 60 lb and block b has a weight of 10 lb. determine the distance a
Answers
When a block of weight 60 lb hangs on a rope on top of another block of weight 10 lb, they create a pulley system. To find the distance that block A would travel, you need to first find the acceleration and tension forces that exist in the pulley system. This information can then be used to find the distance traveled by block A. Therefore, block A travels a distance of approximately 2.23 inches.
Let's first determine the acceleration in the pulley system. Since the blocks are connected by a rope, their acceleration is the same.
So we have:
60 lb - T = 60a (where T is the tension force)
10 lb + T = 10a
We can then solve for T by adding the two equations:
70 lb = 70a => a = 1 m/s^2
Now, to find T, we can plug in the value of a into either equation:
60 lb - T = 60(1) => T = 0 lb + 60 = 60 lb10 lb + T = 10(1) => T = 10 lb - 10 = 0 lb
The tension force is 60 lb and acts in the same direction as the force of gravity on block B.
Therefore, the distance that block A travels is given by the formula:
distance = (1/2)at^2
where t is the time it takes for block B to fall the distance d.
We can find t using the formula:
d = (1/2)gt^2
where g is the acceleration due to gravity.
Since block B has a weight of 10 lb, its mass is 10/32.2 kg.
Therefore, we have:
g = 32.2 ft/s^2 and
d = 60/10 = 6 ft
Plugging these values into the formula gives us:
t^2 = (2d/g) => t^2 = 0.37 s^2 => t = 0.61 s
Therefore, the distance that block A travels is given by:
distance = (1/2)(1)(0.61)^2 = 0.186 ft = 2.23 inches
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Related Questions
100 POINTS! Arches, Quintuplet, and GC are examples of names that astronomers have given to:
A: extinct asteroids.
B: galactic dust balls.
C. Supermassive black holes.
D: live massive star clusters
Answers
Arches, Quintuplet, and GC are not names given to extinct asteroids, galactic dust balls, or supermassive black holes. Instead, they are examples of names given to live massive star clusters. The correct option is D
Astronomers have identified these star clusters in various regions of our galaxy. The Arches cluster is located near the center of the Milky Way, while the Quintuplet cluster is found in the same vicinity.
These clusters are comprised of young, massive stars that emit intense radiation and are surrounded by dense clouds of gas and dust.
GC stands for "globular cluster," and it refers to a densely packed spherical collection of stars found in the galactic halo.
These star clusters are fascinating subjects of study for astronomers, as they provide insights into the formation and evolution of stars in our galaxy.
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in which direction does heat flow spontaneously between hot and cold objects?
Answers
Heat flows from hot to cold on its own spontaneity. Temperature is used to measure how hot or cold an object is in relation to its reference point.
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what is the weight of a spring balance when the point is 30
Answers
Answer:
A 30 lb weight is attached to the end of a spring. The spring is stretched 6 in. Find the equation of motion if the weight is released from rest a point 3 inches above equilibrium position 。x(,) =-2 sin(81) 32 x(t) =-32 cos(80 O x(r) =-icos(81)
Explanation:
A pumpkin is shot straight up into the air via a pumpkin launcher. It travels 400 feet before it reaches its maximum height.
a. Calculate the initial velocity of the pumpkin.
b. What is the total time that the pumpkin is in the air?
Answers
a. The initial velocity of the pumpkin is approximately 63.44 feet per second. b. The total time that the pumpkin is in the air is approximately 8 seconds.
a. To calculate the initial velocity of the pumpkin, we can use the kinematic equation for projectile motion:
s = ut + (1/2)gt^2
Where:
s = distance traveled (400 feet)
u = initial velocity (unknown)
t = time of flight (unknown)
acceleration due to gravity (g) = 32.2 ft/s^2)
Equation to solve for u:
u = (s - (1/2)gt^2) / t
Substituting the given values, we have:
u = (400 ft - (1/2)(32.2 ft/s^2)(8 s)^2) / 8 s
u ≈ 63.44 ft/s
b. The total time that the pumpkin is in the air can be determined using the equation:
t = 2u / g
Substituting the values, we get:
t = 2(63.44 ft/s) / (32.2 ft/s^2)
t ≈ 8 s
a. The initial velocity of the pumpkin is approximately 63.44 feet per second.
b. The total time that the pumpkin is in the air is approximately 8 seconds.
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a horse track is a loop where the starting point and the finish line are at the same point. a horse gallops around a 400 m track in 20 s. calculate the velocity of the horse.
Answers
The velocity of the horse as it travels through the track is 20 m/s.
What is velocity?Velocity can be defined as the ratio of distance or displacement to time.
To calculate the velocity of the the horse, we use the formula below.
Formula:
v = d/t............... Equation 1Where:
v = velocity of the horsed = distancet = timeFrom the question,
Given:
d = 400 mt = 20 sSubstitute these values into equation 1
v = 400/20v = 20 m/s²Hence, the velocity of the horse as it travels through the track is 20 m/s.
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Answer:
A. 2s
Explanation:
time = distance ÷ speed
T = .2 ÷.1
T= 2
Energy Efficiency= Useful Energy Output/Total Energy Input x 100 (%) If a power plant uses 100 units of energy to create electricity and the output is 15 units, what is the energy efficiency of the power plant? A. 100% B. 20% C. 15%
Answers
The energy efficient of the power plant that uses 100 units of energy to create electricity is 15%. Option C is the correct answer.
What is energy efficient?Energy efficient can be defined as the percentage of energy out of the total input energy.
The energy efficiency of the power plant can be calculated using the formula below.
Energy Efficiency = (Useful Energy Output / Total Energy Input) x 100%
The power plant uses 100 units of energy to create electricity and the output is 15 units.
Hence, the energy efficiency of the power plant is:
Energy Efficiency = (15 / 100) x 100% = 15%
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3. (1) The three vectors in Fig. 3 32 can be added in six
different orders (V, + V: + V. V. + V, + V, etc.).
Show on a diagram that the same resultant is ob.
tained no matter what the order.
Answers
Answer:
cannot do diagrams on here sorry :)
Two teams are playing tug-of-war. Team A, on the left, is pulling on the rope with an effort of 5000 N. If the rope is moving at a constant velocity, how hard and in which direction is team B pulling?
A. 2500 N to the left
B. 5000 N to the right
C. 2500 N to the right
D. 5000 N to the left
Answers
Explanation:
If Team A is on the left, B is on the right
if the force is constant, it means that the effort applied is equal.
So Team B is pulling 5000N to the right.
A 0.225 kg block of iron at -28.7 °C is put in a cup of 0.150 kg of water at 18.9 °C. What is their equilibrium temperature?
Answers
Answer:
12.3°C should be the correct answer
Answer:
12.3
Explanation:
Why are so many people using this on thing like a freaking dating app???
Answers
Answer:
this is were you get everything
Explanation:
Answer:
that's crazy. people really do be thirsty for anything doe.
Explanation:
9. What force is felt on a person when they 'free-fall down a large roller
coaster hill?
Answers
Why cant Analog Thermometers measure temperature below 0 °C?
Answers
Answer:
Alcohol thermometers are used rather than mercury thermometers in very cold regions because alcohol has a lower freezing point than mercury.
A2
Need 100% perfect answer in 20 minutes.
Please please solve quickly and perfectly.
Write neat.
I promise I will rate positive.a) Write down the truth tables for the NAND gate and the NOR gate with two inputs. [4 marks] b) Write down a truth table for the function Z in terms of the inputs A, B and C. Also write a logic expression for Z in terms of A, B and C. D U B Z С S (11 marks] c) Use de-Morgan's laws to simplify the following Boolean expression Q = (A. (A + C))' 15 marks
Answers
The simplified expression for Q using De Morgan's laws is Q = A . (A' . C')'.
a) Truth tables for the NAND gate and NOR gate with two inputs:
NAND gate:
| A | B | Q |
|---|---|---|
| 0 | 0 | 1 |
| 0 | 1 | 1 |
| 1 | 0 | 1 |
| 1 | 1 | 0 |
NOR gate:
| A | B | Q |
|---|---|---|
| 0 | 0 | 1 |
| 0 | 1 | 0 |
| 1 | 0 | 0 |
| 1 | 1 | 0 |
b) Truth table and logic expression for Z in terms of inputs A, B, and C:
| A | B | C | Z |
|---|---|---|---|
| 0 | 0 | 0 | 1 |
| 0 | 0 | 1 | 0 |
| 0 | 1 | 0 | 1 |
| 0 | 1 | 1 | 0 |
| 1 | 0 | 0 | 1 |
| 1 | 0 | 1 | 0 |
| 1 | 1 | 0 | 0 |
| 1 | 1 | 1 | 0 |
Logic expression for Z: Z = (A' AND B' AND C) OR (A' AND B AND C')
c) Simplification of the Boolean expression Q = (A. (A + C))' using De Morgan's laws:
Q = (A. (A + C))'
Apply De Morgan's law: (AB)' = A' + B'
Q = (A' + (A + C)')'
Apply De Morgan's law again: (A + B)' = A' . B'
Q = ((A')' . (A + C)')'
Simplifying the double negations: (A')' = A and (A + C)' = A' . C'
Q = (A . (A' . C'))'
Final simplified expression: Q = A . (A' . C')'
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what kind of mirror do u think s used in the side-view mirror of cars?
Answers
Answer:
The Convex Mirror is used.
Explanation:
Which of the four inner planets has the least eccentric orbit around the sun?
Mercury
Venus
Earth
Mars
Answers
Answer:
Venus
Explanation:
Venus has the least eccentric orbit around the sun.
Answer:
Venus po beacaus I dunno
Explanation:
no need xplane
You launch a ball in the air with an initial velocity of 25 m/s.
What is the final velocity when it hits the ground ?
A. 20 m/s
B. 25 m/s
C. 20 mihr
Answers
You launch a ball in the air with an initial velocity of 25 m/s. The height of the ball in the air is 11.5 m. The final velocity when it hits the ground is (v)= 20 m/s.
What is velocity?Velocity is a term that means that a object has covered some distances in a given time. That is called the velocity. It can be measured in m/s, cm/s.
How can we calculate the velocity?To calculate the velocity we are using the formula, v²=u²-2gh
we are given that,
u = the initial velocity of the ball. = 25 m/s
h= The height of the ball at its peak. = 11.5 m
g= the acceleration due to gravity. = 9.8 m/s².
We have to calculate the final velocity of the ball. = v m/s.
Now we put the values in above equation, we get
v²=u²-2gh
Or, v²=(25)²-2*9.8*11.5
Or, v²=19.98 m/s
Or, v²≈ 20 m/s.
Now from the calculation we can say that, The final velocity when it hits the ground is (v)= 20 m/s.
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You launch a ball in the air with an initial velocity of 25 m/s. The height of the ball in the air is 11.5 m.
What is the final velocity when it hits the ground ?
A. 20 m/s
B. 25 m/s
C. 20 m/hr
Imagine a Gaussian pulse, whose temporal field, E(t), is proportional to exp[-(t/∆t)^2/2] exp(iωot), where ∆t is its approximate pulse width in time a. Using a Fourier transform that I gave you in class (in other words, you don't need to do the Fourier transform integral for this problem), find its spectrum. b. Show that, as the pulse increases in length (At → 0), the pulse becomes monochromatic, that is, its spectrum becomes infinitely narrow, specifically, infinite at o= 0 and essentially zero everywhere else. This function (whose area actually remains constant and nonzero) is known as a "Dirac delta function," and it plays a very important role in physics.
Answers
a. A Gaussian function's Fourier transform is another Gaussian function. E(tprovided )'s temporal field's Fourier transform is denoted by\(E(ω) = (2π/∆t) ^(1/2) exp[-(ω - ωo)^2 ∆t^2/4] experi(-io t).\)
The Fourier transform of the Gaussian function gets endlessly thin and resembles a Dirac delta function as the pulse width (t) approaches zero. It is said that the Dirac delta function is. \(δ(ω) = (1/2π) experi(-it) dt\) As a result, the temporal field E(t) changes when the pulse width (t) approaches zero to become E (t) exp(iot) (t) And the E(t) spectrum becomes: Exp(-iot) = E() (1/2) Exponent (I) = (T) = (-I) As a result, the Gaussian pulse's spectrum becomes endlessly narrow and monochromatic as the pulse width gets closer to zero, with all of the energy focused at the centre frequency o.
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I WILL GIVE BRAINLIEST!!! PLEASE, URGENT HELP! PLEASE PLEASE PLEASE!!!
A gas has an initial volume of 0.9 L, an initial pressure of 32 atm and a temperature of 24.80 K. The temperature is decreased to 10.01 K. At this new temperature the volume is 744 mL. What is the new pressure?
Answers
Answer:
The new pressure will be 12 atm
Which of Newton's laws of motion describes the motion of an object that has a net
force of ON?
Answers
Newton's first and second laws of motion both do, but I think the one you're looking for is: The First Law of Motion. That description is a little more direct.
It says that if an object is not acted on by a net external force, then it continues in "constant, uniform motion".
a ball is swung in a vertical circle such that at one point along its circular path the forces exerted on the ball can be represented by the free body diagram. the magnitude of the tension force exerted on the ball, t, is twice that of the force due to gravity exerted on the ball from earth, fg. what is the location of the ball, and what is the magnitude of the centripetal acceleration of the ball?
Answers
Location of the ball is top of the circle and acceleration is 3g.
Since tension force is more, surely ball is having net force upward and hence, the location of the ball in this case is top of the circle.
Any object that moves in a circle has an acceleration vector towards the center of that circle. This is known as Centripetal acceleration.
total force/ net force when ball is top of the circle is sum of tension force and gravity force.
\(F_{net\) = T + mg
Because of this net force, there is centripetal acceleration towards the center.
so, T + mg = ma
2mg + mg = ma
3mg = ma
a = 3 × force of gravity
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a heat engine accepts heat from a source at a rate of 500 kw, and it rejects heat to a sink at a rate of 300 kw. the remainder of the heat is converted to net work output. determine the thermal efficiency of the engine. multiple choice question. 40% 20% 30% 60%
Answers
The thermal efficiency of the engine is 40%. The correct answer is (a).
The thermal efficiency of a heat engine is given by:
efficiency = (net work output) / (heat input)
We are given the heat input rate as 500 kW and the heat output rate as 300 kW. The net work output rate can be found by subtracting the heat output rate from the heat input rate:
net work output = heat input - heat output = 500 kW - 300 kW = 200 kW
Substituting these values into the efficiency equation, we get:
efficiency = 200 kW / 500 kW = 0.4 = 40%
Option a is correct.
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Your dog is begging for food while you eat dinner. Your mother gives him a morsel from her plate, and he stops barking. In
this situation, your dog has been and your mother has been
classically conditioned; punished
positively reinforced; negatively reinforced
negatively reinforced; punished
operantly conditioned; positively reinforced
Answers
Answer:
Explanation:
operantly conditioned; positively reinforced
What is the wavelength of green light that has a frequency of 5.70 x10 14 Hz?
Answers
Wavelength of the light is 529 x 10⁻⁹ nm.
The wavelength of light is defined as "the distance between two successive peaks or troughs of a light wave".
It is denoted by the Greek letter lambda (λ).Therefore, the distance between one crest or trough of one wave and the next wave is known as wavelengthFrequency = f = 5.70 x 10¹⁴ Hz
Speed / Velocity of light = c = 3 x 10⁸ m/s
By using the below formula, wavelength can be calculated
Wavelength = speed of light / frequency
λ = c/f
λ = 3 x 10⁸ / 5.70 x 10¹⁴
λ = 0.526 x 10⁻⁶ μm
λ = 529 x 10⁻⁹ nm
The wavelength of green light is 529 x 10⁻⁹ nm.
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B. the hockey player is moving at a speed of 9. 5 m/s. if it takes him 2 seconds to come to a stop under constant acceleration, how far does he travel while stopping? (2 points)
Answers
The hockey player is moving at a speed of 9. 5 m/s. if it takes him 2 seconds to come to a stop under constant acceleration, will be s = 9.5 m.
The branch of physics that defines motion with respect to space and time, ignoring the cause of that motion, is known as kinematics. Kinematics equations are a set of equations that can derive an unknown aspect of a body’s motion if the other aspects are provided.
These equations link five kinematic variables:
Displacement (denoted by Δx)
Initial Velocity v0
Final Velocity denoted by v
Time interval (denoted by t)
Constant acceleration (denoted by a)
These equations define motion at either constant velocity or at constant acceleration. Because kinematics equations are only applicable at a constant acceleration or a constant speed, we cannot use them if either of the two is changing.
v = u + at
0 = 9.5 + a (2)
a = - 9.5 /2 m/\(s^{2}\)
\(v^{2}\) = \(u^{2}\) + 2as
0 = \((9.5)^{2}\) + 2* (- 9.5 /2) * s
- \((9.5)^{2}\) = - 9.5 s
s = 9.5 m
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Fill in the blank:the equilibrium constant, k, relates quantity of products to reactants at a point when the reaction is ____.
Answers
The equilibrium constant, k, relates the quantity of products to reactants at a point when the reaction is at equilibrium.
What is equilibrium?Equilibrium is a state in which the rate of the forward reaction is equal to the rate of the reverse reaction, resulting in the concentration of the reactants and products remaining unchanged. A reaction is said to be in equilibrium when it has reached a state of dynamic balance.
The equilibrium constant (Kc) is a measure of the extent to which a reaction proceeds to form products. The equilibrium constant is a ratio of the concentration of the products to the concentration of the reactants at equilibrium. The value of Kc varies with temperature and depends on the stoichiometry of the balanced chemical equation.
The larger the value of Kc, the greater the concentration of products relative to reactants at equilibrium. Similarly, a smaller value of Kc indicates a greater concentration of reactants at equilibrium. The equilibrium constant is useful in predicting the direction in which a chemical reaction will proceed.
If the value of Kc is greater than one, the equilibrium favors the products, and if the value of Kc is less than one, the equilibrium favors the reactants. If the value of Kc is equal to one, the reaction is said to be at equilibrium, and the concentration of the reactants and products is equal.
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Which of the following depicts xylem?
Answers
why energy crisis may create big problem in the near future.
Answers
Answer:
Most energy crises have been caused by localized shortages, wars and market manipulation. Some have argued that government actions like tax hikes, nationalisation of energy companies, and regulation of the energy sector, shift supply and demand of energy away from its economic equilibrium.
Our complete guide to US amusement parks delivers vacation ideas for those who enjoy eye-watering speeds, teeth-chattering descents and a g-force that relocates organs. We head to Coney Island to get shot in the air how far and how fast?
1. 100 feet at 75 mph
2. 200 feet at 75 mph
3. 50 feet at 90 mph
4. 150 feet at 90 mph
Answers
Answer:
100 feet at 75 mph.
What is mean by mph?mph expresses the speed or velocity in miles per hour. Speed means rate of change of distance with respect to time.
speed = distance/time
hence, distance = speed x time
The above equation is the relationship between distance, speed and time.
Coney Island is a famous destination known for its amusement parks, boardwalk, and beautiful beach.
One of its most popular attractions is the Thunderbolt, which is a steel roller coaster that gives riders a thrilling experience of high speeds, steep drops, and sharp turns.
The distance and speed at which riders get shot in the air on the Thunderbolt roller coaster are 100 feet and 75 mph, respectively.
This means that the ride launches riders at a height of 100 feet while travelling at a speed of 75 miles per hour.
This can be a scary experience, as the force of gravity can make riders feel like their organs are relocating.
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The foot of a 60 kg sprinter is on the ground for 0.40 s while her body accelerates from rest to 2.0 m/s.
What is the magnitude of the friction force?
Answers
We can use the formula:v = u + atwhere:v = final velocity of the sprinter, which is 2.0 m/su = initial velocity of the sprinte, , the magnitude of the friction force is 300 N.
To determine the magnitude of the friction force, use the formula for force, F=ma, where m is the mass of the sprinter and a is the acceleration of the sprinter. The friction force is equal in magnitude and opposite in direction to the force of the sprinter's foot pushing backward against the ground.
Mass of the sprinter,
m = 60 kgTime the sprinter's foot is on the ground,
t = 0.40 sInitial velocity of the sprinter, u = 0 m/sFinal velocity of the sprinter,
v = 2.0 m/sWe need to calculate the friction force acting on the sprinter.To do this, we first need to calculate the acceleration of the sprinter. We can use the formula:v = u + where:
v = final velocity of the sprinter, which is 2.0 m/s
u = initial velocity of the sprinter, which is 0 m/st = time for which the foot is on the ground, which is 0.40 s
Substituting these values, we get:2.0
= 0 + a(0.40)Simplifying, we get:
2.0 = 0.4a
Dividing both sides by 0.4, we get:
a = 5 m/s² Substituting the values, we get:
F = 60 × 5F = 300 N
Therefore, the magnitude of the friction force is 300 N.
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______________ are chemicals in the body affecting how you feel.
A.
Hormones
B.
Emotions
C.
Calories
D.
Memories
Answers
Answer:
emotions
Explanation:
emotions are how you feel and can happen any time
Hope it helps <333
Answer:
emotions affect your body and how you feel