The distance covered as the crane does work is 76 m.
Recall that the work done in lifting the crane is the product of force and distance covered. In this case, we are talking about the distance through which the crane is raised. Therefore;
Work done = Fs
F = Force applied
s = Distance covered
Substituting values;
Work done/Force applied = Distance covered
Distance covered = 9,500 J/125 N
Distance covered = 76 m
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A pail of water of mass 2000 gm is rotated in a vertical circle of radius 1.00 m. What is the pail’s minimum speed at the top of the circle if no water is to spill out and the tension exerted by the string is 25 N?
The pail’s minimum speed at the top of the vertical circle is 4.72 m/s.
The given parameters:
Mass of the water, m = 2000 g = 2 kgRadius of the circle, r = 1 mTension on the string, T = 25 NThe net force on the pail of water at the top of the vertical circle is calculated as follows;
[tex]T = ma - mg\\\\T = \frac{mv^2}{r} - mg\\\\T + mg = \frac{mv^2}{r} \\\\mv^2 = r(T + mg)\\\\v^2 = \frac{r(T + mg)}{m} \\\\v= \sqrt{\frac{r(T + mg)}{m}} \\\\v = \sqrt{\frac{1 (25\ + \ 2 \times 9.8)}{2}} \\\\v = 4.72 \ m/s[/tex]
Thus, the pail’s minimum speed at the top of the vertical circle is 4.72 m/s.
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The pail’s minimum speed at the top of the circle if no water is to spill out is; v = 4.722 m/s
We are given;
Mass of the pail of water; m = 2000 g = 2kg
Radius of the circle; r = 1 m
Tension exerted by string; T = 25 N
To calculate the net force on the pail of water at the top of the vertical circle, let us take equilibrium of forces to give;
W - T = ma
Where;
W is weight = mg
T is tension on the string
Now, in circular motion, we know that;
Acceleration is; a = v²/r
Thus;
mg - T = m(v²/r)
Making v the subject of the formula gives us;
v = √[(r(T + mg)/m)
Plugging in the relevant values gives;
v = √[(1(25 + (2 * 9.8))/2)
v = 4.722 m/s
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A balloon is rubbed against a sweater. Which of the following describes the result of this interaction?(1 point)
The outer shell electrons move from the balloon to the sweater.
The fibers of the sweater lose electrons.
The balloon becomes positively charged.
The free electrons in the balloon decreases.
Answer:
The fibers of the sweater lose electrons.
How does production and possibilities curve show efficiency grouth and opportunity cost
Answer:
The Production Possibilities Curve (PPC) is a model that captures scarcity and the opportunity costs of choices when faced with the possibility of producing two goods or services. Points on the interior of the PPC are inefficient, points on the PPC are efficient, and points beyond the PPC are unattainable.
Explanation:
From one point on the ground, the
angle of elevation of the peak of a
mountain is 10.38°, and from a
point 15,860 ft closer to the
mountain, the angle of elevation is
14.67º. Both points are due south of
the mountain. Find the height of the
mountain.
10.38°
一企一
14.67°
15,860 ft
Trigonometry allows to find the result for the question about the height of the mountain is:
The height mountain is: y = 9674.4 ftTrigonometry allows finding relationships between the angles of a right triangle.
[tex]tan \theta = \frac{y}{x}[/tex]
Where θ is the angle, y the opposite leg (height) and x the adjacent leg (horizontal distance).
In the attachment we can see a diagram of the system. They indicate that for x distance the angle is 14.67º
tan 14.67 = [tex]\frac{y}{x}[/tex]
At the other point the angle is 10.38º.
tan 10.38 = [tex]\frac{y}{x+15860}[/tex]
We look for the horizontal distance (x) with these equations.
x tan 14.67 = (x + 15860) tan 10.38
x tan 14.67 / tan 10.38 = x + 15860
x 1,429 = x + 15860
x 0.429 = 15860
x = [tex]\frac{15680}{0.429}[/tex]
x = 36955.3 ft
We calculate for the height.
y = x tan 14.67
y = 36955.3 tan 14.67
y = 9674.4 ft
In conclusion using trigonometry we can find the result for the height of the mountain is:
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Suppose you drop a 10-pound weight and a 5-pound weight on the Moon, both from the same height at the same time. What will happen? The 10-pound weight will hit the ground before the 5-pound weight. The 5-pound weight will hit the ground before the 10-pound weight. Both weights will float freely because everything is weightless on the Moon. Both will hit the ground at the same time.
Answer:
Both will hit the ground at the same time.
Which element forms more com-
pounds than all the other elements
combined?
Answer:
Terms in this set (7) Which element forms more compounds than all the other elements combined? Carbon.
Explanation:
Hope its helps you ✌️
If a nonzero net force is acting on an object, then the object is definitely _____.
a. at rest
b. being accelerated
c. moving with a constant velocity
d. losing mass.
An object is definitely being accelerated when a nonzero net force is acting on it: Option B.
A net force refer to the vector sum of all the forces that are acting on an object or physical body. Thus, a net force is a single force that substitutes the effect of all the forces acting on an object or physical body.
According to Newton's Second Law of Motion, the acceleration of an object is directly proportional to the net force acting on the object and inversely proportional to its mass.
This ultimately implies that, an object is definitely being accelerated when a nonzero net force is acting on it.
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What is an example of bad energy efficiency but good energy conservation?
Answer:
Energy conservation relies on people cutting back on activities that consume energy—by turning off lights or driving less or using appliances less often.
Explanation:
hope this helps
What the number ??? Help Please
Answer:
first number is 113 and the second number is 15
A 30.4-newton force is used to slide a 40.0-newton crate a distance of 6.00 meters at constant speed along an incline to a vertical height of 3.00 meters. Calculate the work done by a friction force on the crate as it slides 6.00 m along the incline.
Hi there!
Since the crate is being slid at a constant speed, the forces sum to 0 N. In this instance, the following forces occur in the axis of interest:
Wsinθ = downward acceleration along incline due to gravity (N)
Fκ = kinetic friction force along incline (N)
A = applied force (N)
The acceleration due to gravity and friction force act in the same direction, so:
Wsinθ + Fκ = A
Solve for sinθ using right triangle trigonometry:
sinθ = O/H = 3/6 = 0.5
Rearrange the equation for the force of kinetic friction and solve:
Fκ = A - 0.5W
Fκ = 30.4 - 20 = 10.4 N
Now, recall that:
Work = Force × displacement (W = F × d)
Since the box's displacement is in the same axis as the force but OPPOSITE direction, we must use:
W = Fdcosθ
Angle between displacement and friction force is 180°.
cos(180) = -1
Work done by friction = -Fd = -10.4(6) = -62.4 J
A 100kg diver jumps off a 40m cliff. Ignoring the affects of air resistance, determine the
time it would take for the diver to reach the water.
Answer:2.86seconds
Explanation:
H=gt^2/2
t=2h/g
If a category 6 hurricane would exist how fast do you think it would be?
After the series of powerful storm systems of the 2005 Atlantic hurricane season, as well as after Hurricane Patricia, a few newspaper columnists and scientists brought up the suggestion of introducing Category 6, and they have suggested pegging Category 6 to storms with winds greater than 174 or 180 mph (78 or 80 m/s).
There is no such thing as a Category 6 hurricane. When Hurricane Irma was headed toward the coast of southern Florida in August, it had maximum wind speeds of 185 mph, according to the New York Times. But the Saffir-Simpson scale only goes up to 5.Hope it helps(◠ᴥ◕ʋ)Anyone please.??????
Answer:
468.42572 Wavelength In Metres
Explanation:
Answer:
[tex]\huge\boxed{\sf Wavelength= 470\ m}[/tex]
Explanation:
Given Data:
Speed of light = c = 3 × 10⁸ m/s (Constant)
Frequency = f = 640 kHz = 6.4 × 10² × 10³ Hz = 6.4 × 10⁵ Hz
Required:
Wavelength = λ = ?
Formula:
λ = c / f
Solution:
λ = 3 × 10⁸ / 6.4 × 10⁵
λ = 0.47 × 10³
λ = 4.7 × 10² m
λ = 470 m
[tex]\rule[225]{225}{2}[/tex]
Hope this helped!
~AH1807friction and normal force are examples of
Answer:
Friction is a force that tends to oppose the relative motion between two bodies in contact. Frictional force always acts on a moving body from the direction opposite to the direction of motion. It opposes the motion, and therefore, helps to reduce the speed of the moving object. It is a contact force.
Please I need help with this ❤️ ?
Answer:
Compound 'A' C5H12 does not react with phenyl hydrazine. Oxidation of 'A' with K2Cr2o7,/H" gives B' (c5H10o). Compound 'B' reacts with phenyl hydrazine but does not give Tollen's test. The
A wagon with a mass of 284 kg is accelerated across a level surface at 9 m/s2. What net force acts on the wagon?
Answer:
2556 NExplanation:
The force acting on an object given it's mass and acceleration can be found by using the formula
force = mass × acceleration
From the question we have
force = 284 × 9 = 2556
We have the final answer as
2556 NHope this helps you
Please answer all questions if you do I mark you
Explanation:
1. A
2. B
3. I don't know this one but my guess is b
Express the sum of 2.52 kg + 131 g in kilograms with the correct number of significant
figures.
Convert second term into kg
131 = 0.131
Term has become:
2.52 + 0.131
The total is:
2.651 kg
Send right answers plzzzz plz
Answer:
I think A
Explanation:
A persons resting rate heart rate typically blank with age
A rocket consists of a shuttle and a fuel tank. The rocket flies through the air with a momentum of 180000kgm/s at a velocity of 120m/s. If the fuel tank has a mass of 500kg, what is the mass of the shuttle?
Answer:
Answer is 1000kg
Hope it help
What is the control group
Answer: the group in an experiment that doesn’t get treatment
Explanation:
Abigail runs one complete lap (400m) around the track, while Gabi runs a 50 meter dash in a straight line. Which runner had a greater displacement?
Answer:
The distance of one lap on this track from the start line to the finish line is 400 meters. Two laps around the track is 800 meters, half a lap is 200 meters, and so on.
Remember, displacement is the direction from the starting point and the length of a straight line from the starting point to the ending point. If a runner was going to run 400 meters (one lap around the track), they would start and stop at the same place on the track. Therefore, their displacement would be 0.
Explanation:
hope this helped
Answer:
[tex]\boxed {\boxed {\sf Gabi \ had \ greater \ displacement}}[/tex]
Explanation:
Displacement is the change in the position of an object.
Abigail runs a complete lap around the track, which is 400 meters. Even though she ran 400 meters, she has no displacement. If she starts and ends at the same spot, there is no change in position.
Gabi runs a 50 meter dash in a straight line. Gabi has 50 meters of displacement. She runs in a straight line and is 50 meters away from where she began.
While Abigail ran the farther distance, Gabi had the greater displacement.
Which liquid substance Would evaporate most quickly in the open air at 25 celius
Which are the products in the equation CH3SH + 4O2 → CO2 + SO2 +2H2O? Check all that apply.
Answer:
ch3sh + 4O2 are the products
if the wave velocity and frequency of a wave are both doubled, the wavelength is
If the wave velocity and frequency of a wave are both doubled, the wavelength will remain the same.
The wavelength of a wave shows the spatial orientation of distance between two successive crest in a wave medium.
The wavelength λ is expressed by using the relation:
[tex]\mathbf{\lambda = \dfrac{v}{f}}[/tex]
Now, if velocity and frequency of wave is both doubled, the wavelength will remain the same.
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Select the correct answers from the list.(1 point) A black hole begins to form as an aging star abruptly collapses when it ceases__________ . This occurs after the star has consumed its component elements in this order___________.
A black hole forms as a star collapses when it ceases emitting radiation from fusion reactions. This occurs after the star has consumed hydrogen, helium, then through iron.
Star evolution refers to the process by which stars evolve (change) over time.
A black hole can be defined as a collapsed star where the gravitational field in its nucleus becomes greater than particles cannot escape from it.
In consequence, black holes are cosmic bodies in which gravity is so powerful that nothing (i.e., particles, radiation, light, etc.) can escape from them.
Nuclear fusion refers to the energy reactions produced by the fusion of hydrogen at the core of a star, thereby becoming helium.
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what is the unit of measurement for expressing the intensity of sound
A car starts with a velocity of 16 m/s and slows at a constant rate of -2m/s2, what is its velocity after 3 s?
After 3 seconds, the car slows down to
16 m/s + (-2 m/s²) (3 s) = 16 m/s - 6 m/s = 10 m/s
find the quotient 3^15 × 3^3
Answer:
3^15 / 3^3 = 3^12 * 3^3 / 3^3 = 3^12
The Law of Exponents applies here
3^15 x 3^3 is a product, not a quotient
3^15 x 3^3 = 3^18