The work done by the force of the rope dragging the object is approximately 1049.84 ft-lb.
The work done by a force is given by the product of the magnitude of the force, the displacement, and the cosine of the angle between the force and the direction of displacement. In this case, the force applied by the rope is 43.9 lb and the displacement is 26.8 ft.
Using the given angle of 27.0 degrees, we can calculate the work done as follows:
W = 43.9 lb * 26.8 ft * cos(27.0°).
To evaluate the cosine function, the angle needs to be in radians. Converting 27.0 degrees to radians gives 0.471 radians.
Substituting the values into the equation, we get:
W = 43.9 lb * 26.8 ft * cos(0.471).
Evaluating the cosine function, we find cos(0.471) ≈ 0.920.
Finally, we can calculate the work done:
W = 43.9 lb * 26.8 ft * 0.920 ≈ 1049.84 ft-lb.
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An object is located at a distance of 15.5 cm in front of a concave mirror whose focal length is f = 10.5 cm. (a) Write an expression for the image distance. (b) Numerically, what is this distance?
(a) Expression for image distance: 1/f = 1/d_o + 1/d_i. (b) Numerically, the image distance is 6.3 cm when the object is located 15.5 cm in front of a concave mirror with f = 10.5 cm.
For a concave mirror, the relationship between the object distance (d_o), image distance (d_i), and focal length (f) can be expressed using the mirror equation: 1/f = 1/d_o + 1/d_i. In this scenario, the object is located at a distance of 15.5 cm in front of the concave mirror, and the focal length is given as 10.5 cm. By substituting the known values into the equation, we can solve for the image distance. Rearranging the equation, we get 1/d_i = 1/f - 1/d_o. Plugging in the values, we find 1/d_i = 1/10.5 cm - 1/15.5 cm. Calculating this expression gives us 1/d_i ≈ 0.0952 cm^(-1). Taking the reciprocal of both sides, we find d_i ≈ 10.5 cm. Thus, numerically, the image distance is approximately 6.3 cm.
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Black smokers are hot volcanic vents that emit smoke deep in the ocean floor. Many of them teem with exotic creatures, and some biologists think that life on earth may have begun around such vents. The vents range in depth from about 1500 m to 3200 m below the surface. What is the gauge pressure at a 2452-m deep vent, assuming that the density of water does not vary
If the density of water does not vary and the vents range in depth from about 1500 m to 3200 m below the surface, then the gauge pressure at a 2452-m deep vent is 224.268 atm.
Calculation:
Step-1:
It is given that the vents range in depth from about 1500 m to 3200 m below the surface. If we are assuming that the density of water does not vary. Then it is required to calculate the gauge pressure at a 2452-m deep vent.
The gauge pressure at a particular depth of ocean water is calculated as:
\($$P=\rho g h$$\)
Here \(\rho\) is the density of water, P is the required pressure, h is the depth of water, and g is the gravitational acceleration.
Step-2:
Now we are substituting the values to calculate the pressure at the depth of 2452-m.
\($$\\\begin{aligned}\\P&=\rho gh\\&=1030 (\text{ kg/m}^3)\times 9.8 (\text{ m/s}^2)\times 2452 \text{ m}\\&=24.75\times 10^6 \text{ Pa}\times\frac{1 \text{ atm}}{10.1325 \times10^4 \text{ Pa}}\\&=224.268 \text{ atm}\\\end{aligned}\\$$\)
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what is the most common injury related to electrical hazards?
The most common injury related to electrical hazards are Electrical burns.
What are electrical hazards?
The term "electrical hazard" refers to a major workplace risk that puts employees in danger of suffering burns, electrocution, shock, arc flash or arc blast, fire, or explosions.Electrical shock and burns are risks when contacting energized sources.The body enters the electric circuit, resulting in an electrical shock (when an individual comes in contact with both wires of an electrical circuit, one wire of an energized circuit and the ground, or a metallic part has been energized by contact with an electrical conductor).An electrical burn is a type of skin burn that develops when your body comes into contact with electricity. It is possible for electricity to pass through your body when it comes into contact with it. When this occurs, the voltage has the potential to harm tissues and organs.
Hence, The most common injury related to electrical hazards are Electrical burns.
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what material would you use to build countertops
Answer: Natural stone
Explanation:
Answer:
Natural stone
Explanation:
The most common natural stones used to make countertops include granite, marble, soapstone, and slate.
what is the minimum energy input necessary to place this satellite in orbit? ignore air resistance but include the effect of the planet's daily rotation. (use the following as necessary: re, me, g, m, h, and te for the period of earth's rotation.)
The minimum energy input necessary to place this satellite in orbit is
\(\frac{1}{2} m(v^{2} - v_{e} ^{2} ) +GM_{E} m(\frac{1}{r} -\frac{1}{R_{E} } )\)
The mass of the satellite = m
Altitude = h = r
The radius of the Earth = \(R_{E}\)
The Mass of the Earth = \(M_{E}\)
Speed of the satellite = v
Speed of the Earth = \(v_{e}\)
Gravitational Constant = G
The energy at the surface of the Earth will be the sum of the kinetic and potential Energy,
So,
\(E_{i} = K.E. +P.E.\\\\ E_{i} = \frac{1}{2} mv_{e} ^{2} -\frac{GM_{E} m}{r}\)
Also, Energy in orbit,
\(E_{i} = K.E. +P.E.\\\\ E_{i} = \frac{1}{2} mv^{2} -\frac{GM_{E} m}{R_{E} }\)
Now, The change in energy is the minimum energy required to place this satellite in orbit,
Then, the Change in Energy =
∆E \(= \frac{1}{2} m(v^{2} - v_{e} ^{2} ) +GM_{E} m(\frac{1}{r} -\frac{1}{R_{E} } )\)
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In a certain lab experiment, a spring gun was placed on a table and fired steel ball horizontally outward. A student determines that the ball starts 1.0 m above the floor and travels 2.7 m before striking the floor.
(a) Determine the time that the ball is in the air.
(b) Determine the initial velocity of the ball.
Show your work.
a) There are 0.23 seconds in which the ball is in the air.
b) 11.74 meters per second is the ball's initial horizontal speed.
What exactly is speed?A body's velocity is defined as the rate at which its displacement alters over time. Having both magnitude and direction, velocity is a vector quantity.
A body's velocity is defined as the rate at which its displacement alters over time.
The point is 1.0 meters tall vertically.
The ball rolled across a horizontal distance of 2.7 meters.
(H/2g) is the length of time the ball has been in the air.
= √(1.0/2×9.8)
is 0.23 seconds
b) The ball travels at an initial horizontal velocity of = 2.7 m/0.23 s.
= 11.74 m/s.
a) There are 0.23 seconds in which the ball is in the air.
b) 11.74 meters per second is the ball's initial horizontal speed.
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Work, Power, and Energy
A 3 kg ball falls from a height of 45 meters to a height of 32 meters. Calculate the amount of work done by gravity.
When writing your answer, please include the formula you used! Thank you!
Answer:
383.2
Explanation:
W=m×g(9.8)×(change in height)
=3×9.8× (45-32)
=3×9.8×13
=383.2
I need help with this science question, 50 points!
Answer:
an open circuit (A battery, bulb, wire,switch)
Explanation:
the battery supplies the power the wire carries the current from the battery to the bulb but the circuit is not completed if the switch is not connected (Switch )
Why will a delivery truck filled with birds sitting on its floor be heavier than a truck with the same birds flying around inside.
The reason why a delivery truck filled with birds sitting on the floor be heavier than a truck with the same birds flying around is because when the birds are sitting on the floor, they are adding their weight to the truck.
Meanwhile, if the birds are flying around they aren't resting on the truck or touching it, so therefore their weight wouldn't be added to the truck.
The mass of the truck will remain the same as you cannot change the mass but the weight will vary depending on the items and objects placed in it.
what are the different uses of chemical effect of electric current
Answer:
anodizing and chrome planting
Explanation:
they prevent corrosion
Calculate the heat gained by 125.0 g of water when it is put into a calorimeter and its
temperature is increased by 10.0°C. The specific heat of water is 4.184 J/(g°C).
Answer:
I don't know I'm sorry I will tell you another answer asks me
If a constant, nonzero force is applied to an object that is at rest, what can you say about the velocity and acceleration of the object as the force is applied?.
Answer:
a is constant., v is increasing.
Explanation:
F = ma
F and m are both constant, so a is constant.
v = at, t is increasing, so v is increasing.
The velocity of the object will be equal to numerical multiplication of acceleration and time while the acceleration of the body is the total applied force divided by mass of the object.
What is force?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 application of force is the location at which force is applied, and the direction in which the force is applied is known as the direction of the force.
A spring balance can be used to calculate the force. Newton(N) is the SI unit of force.
For applying nonzero force, the object will come in motion.
Let, the mass of the body = m.
Force applied on it = F.
Acceleration of the body = a.
And after time t, the velocity of the object become v.
From Newton's 2nd law of motion, we can write,
Applied force = mass × acceleration.
⇒ F = ma
⇒ a = F/m.
And, final velocity will be = acceleration × time = at
Hence, the acceleration of the body is the total applied force divided by mass of the object and velocity of the object after some time will be equal to numerical multiplication of acceleration and time.
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If an 18-wheeler truck travels 280,000m to transport its cargo in 8 hrs. (28,800s). What was it’s average velocity?
Answer:
u can use a calculator to answer that question thats ur only hint
Explanation:
good evening! Can someone please answer this, ill give you brainliest and your earning 50 points. Would be very appreciated.
Answer:
The gases which are very good at absorbing long wave photons of infrared gas.
Explanation:
These absorption is called green house effectIt is the main reason behind global warming4) Based on your results, what can you infer about the distribution of
touch receptors on the skin?
Answer:
what are the results? Also
Explanation:
The distribution of touch receptors in human skin is not consistent over the body. In humans, touch receptors are less dense in skin covered with any type of hair, such as the arms, legs, torso, and face. If two points are felt as two separate points, each is in the receptive field of two separate sensory receptors.
Plsssssss hellllp meeeeee plsss
Answer:
it is important to reduce noise because it makes noise pollution which is not good for the people and animles
Explanation:
Between 0 degrees C and 8 degrees C a red-dyed-water-in-glass thermometer would
A) be especially suitable
B) always be wrong
C) give ambiguous readings
D) explode
E) implode
The correct option is A) be especially suitable
A red-dyed-water-in-glass thermometer would be especially suitable to measure temperatures between 0 degrees Celsius and 8 degrees Celsius. This is within the typical range for which such thermometers are designed to provide accurate readings. The red dye helps in reading the temperature by making the liquid column easier to see against the background.
This is because the freezing point of water is 0 degrees C, and the boiling point is 100 degrees C. The range of 0 to 8 degrees C falls within the temperature range that can be accurately measured using a red-dyed-water-in-glass thermometer. This type of thermometer works by measuring the expansion or contraction of a liquid (in this case, water) in response to changes in temperature. The liquid expands as it gets warmer and contracts as it gets cooler.
However, it is worth noting that red-dyed-water-in-glass thermometers are not always the most accurate or precise instruments for measuring temperature, particularly at extreme temperatures or when high accuracy is required. Other types of thermometers, such as digital thermometers or thermocouples, may be more appropriate in certain situations.
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Lily whose mass is 45 kg is ice skating with a constant speed of 7 m/s when she hits the room at speed 8
It will take 8.9 seconds before Lilly coasts to a stop.
What is the friction coefficient telling us?A measure of the degree of friction between two surfaces is the coefficient of friction. A coefficient of friction is determined by calculating the resistance to motion at the intersection of two surfaces made of the same or different materials.
In the question we are given,
Mass, m = 45 kg
initial speed, u = 7 m/s
final speed, v = 0
coefficient of friction, μ = 0.08
Now, friction force can be calculated by
F = Normal force × μ
F = mg×μ
F = 45×9.8×0.08
F = 35.2 N
since the net force is the frictional force we can calculate the deceleration,
F = ma
35.2 = 45a
a = 35.2/45 = 0.78 m/s²
by applying equation of motion,
v = u + at
0 = 7 - 0.78t
7 = 0.78t
t = 8.9 s
It will take 8.9 seconds before Lilly coasts to a stop.
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The complete question is;
Lilly, whos mass is 45.0 kg, is ice skating with a constant speed of 7.00 m/s when she hits a rough patch of ice with a coefficient of friction of 0.0800. How long will it take before Lilly coasts to a stop?
Solving elastic collisions problem the hard way
Answer:
Solving elastic collisions problem the hard wayExplanation:
perfect drawing
the force of attraction between the sun and earth is called ___
Answer: The force of attraction between the sun and earth is called gravity
Explanation:
Gravity is the force of attraction between two objects that is proportional to their masses and the distance between them. It is the force that keeps the Earth and other celestial bodies in orbit around the Sun, and it is also responsible for holding the Moon in orbit around the Earth. Newton's law of universal gravitation states that the force of gravity between two objects is proportional to the product of their masses and inversely proportional to the square of the distance between them. This means that the larger the masses of two objects and the closer they are to each other, the stronger the force of gravity between them will be. The force of gravity is a fundamental force in the universe, and it plays a crucial role in shaping the motion and structure of celestial bodies.
Answer:
Universal Gravitation
Explanation:
The gravitational force of attraction between Earth and the sun is 1.6 1023 N
Not super sure what kind of answer you needed so here's both!
A football player threw a football with a velocity of (3.0 m/s x + 5.0m/s y). How far did it travel horizontally?
The horizontal distance travelled by the football is 3.1 m.
What is the angle of projection of the ball?
The angle of projection of the football is calculated as follows;
tan ( θ ) = Vy / Vx
where;
Vy is the velocity of the ball in the vertical directionVx is the velocity of the ball in the horizontal directiontan ( θ ) = 5 / 3
tan ( θ ) = 1.667
θ = arc tan (1.667)
θ = 59⁰
The resultant velocity of the ball is calculated as follows;
v = √ (Vx² + Vy²)
v = √ (3² + 5²)
v = 5.83 m/s
The horizontal distance travelled by the football is calculated as follows;
x = v² sin(2θ) /g
where;
v is the resultant velocityg is acceleration due to gravityθ is the angle of projection of the ballx = [ (5.83)² sin(2 x 59) /9.8 ]
x = 3.1 m
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MODEL TEST PAPER-I ..
Class : VII
F.M.: 75
Subject: Science & Environment
P.M.: 30
Term: Final Examination
Time: 24 hrs
Candidates are required to give answer in their own words as far as
practicable.
Attempt all the questions.
Group- A (Physics)
a. What is a unit? Define SI system. What is the advantage of usin
SI system?
Here’s the answer buddy!
What is a unit?
A unit is an individual thing or person regarded as single and complete but which can also form an individual component of a larger or more complex whole.
Define SI system?
The International System of Units is the modern form of the metric system. It is the only system of measurement with an official status in nearly every country in the world.
What is the advantage of using SI system?
The greatest advantage of SI is that it has only one unit for each quantity (type of measurement). This means that it is never necessary to convert from one unit to another (within the system) and there are no conversion factors for students to memorize. For example, the one and only SI unit of length is the metre (m).
As a result of mitosis, the cels of a Molecular organism sure which of these properties select to correct answers. A. All cells have the same number of chromosomes. B. The number of chromosomes varies amongst the cells C. All cells have identical genetic information. D. Genetic information varies among the cells.
Answer:
C. All cells have identical genetic information.
Answer:
A and C
Explanation:
as alan is taking a shower the soap falls out of the soap dish and alan steps on it with a force of 500N. If Alan slides forward and the frictional force between the soap and the tub is 50N what is the coefficient of friction between these two surfaces
The coefficient of friction between the soap and the tub is 0.1.
What is coefficient of static friction?The coefficient of static friction is the ratio of the maximum static friction force between the surfaces in contact before movement commences to the normal force.
Mathematically, the coefficient of static friction is given as;
μ = F/N
where;
μ is the coefficient of static frictionN is the normal forceF is the static frictional forceBefore an object start moving, the static friction must be overcame since it resists the motion of the object.
The normal force on the soap is the vertical downward force on the soap applied by Alan, N = 500 N
The force of friction on the soap, F = 50 N
μ = F/N
μ = 50 / 500
μ = 0.1
Thus, the coefficient of friction increases with increase in the horizontal force of friction and decrease in the normal force on the object.
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when a volcano is about to erupt, the nearby places may also experience an earthquake
TRUE OR FALSE
Answer:
True
Explanation:
Volcanically-caused long period earthquakes are produced by vibrations generated by the movement of magma or other fluids within the volcano. Pressure within the system increases and the surrounding rock fails, creating small earthquakes.
1. Describe the difference between photographic plates and
charge-coupled devices?
2. Explain the importance of the Hubble Space Telescope
(HST).
Photographic plates and charge-coupled devices (CCDs) are two different technologies used for capturing images in astronomy.
Photographic plates are glass or plastic sheets coated with light-sensitive chemicals. They were widely used before the advent of digital imaging. When exposed to light, the chemicals on the plate undergo a chemical reaction, producing a latent image.
The plate needs to be chemically developed to make the image visible. Photographic plates have a long history in astronomy and were the primary method of image capture for many decades.
On the other hand, charge-coupled devices (CCDs) are electronic sensors used in digital imaging. They consist of an array of tiny light-sensitive pixels that convert incoming light into electrical charge. The charge is then read out and converted into digital data.
CCDs offer several advantages over photographic plates, including higher sensitivity, wider dynamic range, faster data acquisition, and the ability to store and transmit images digitally. These characteristics make CCDs more efficient and practical for modern astronomical observations.
The Hubble Space Telescope (HST) holds tremendous importance in the field of astronomy. Launched in 1990, the HST has provided unprecedented views of the universe, free from the distortions caused by Earth's atmosphere. Its location above the atmosphere allows it to observe celestial objects with exceptional clarity and detail.
The HST has made numerous groundbreaking discoveries, including precise measurements of the expansion rate of the universe, the detection of planets around other stars, and the identification of distant galaxies that formed shortly after the Big Bang.
Moreover, the HST has revolutionized our understanding of the cosmos through its stunning images, capturing the beauty and complexity of celestial objects like galaxies, nebulas, and star clusters. It has enabled scientists to study the life cycles of stars, investigate the properties of black holes, and explore the mysteries of dark matter and dark energy.
The HST's contributions to astronomy have shaped our knowledge of the universe and inspired generations of scientists and the general public alike. Its observations continue to push the boundaries of our understanding and pave the way for future space telescopes and missions.
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Sunlight is observed to focus at a point 16.5 cm behind a lens. (a) What kind of lens is it? (b) What is its power in diopters?
(a) The lens is a converging lens.
(b) Its power is +6.06 diopters.
(a) When the sunlight focuses at a point behind the lens, it indicates that the lens is a converging lens. Converging lenses have a thicker center and are capable of converging parallel rays of light to a focal point.
(b) To determine the power of the lens, we can use the lens formula:
1/f = 1/v - 1/u,
where f is the focal length of the lens, v is the image distance, and u is the object distance. In this case, the image distance is given as v = -16.5 cm (negative sign indicates that the image is formed on the opposite side of the object) and the object distance (u) is usually assumed to be large for most practical purposes.
Since we know that the focal length (f) is related to the power (P) of the lens as P = 1/f (in diopters), we can rearrange the lens formula as:
1/f = 1/v,
Substituting the values, we get:
1/f = 1/(-16.5 cm).
Solving for f, we find:
f = -16.5 cm.
Therefore, the power of the lens is +6.06 diopters (since P = 1/f). The positive sign indicates that the lens is a converging lens.
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when the winding current of question 3 flows in the winding, what is the magnetomotive force (mmf) across the center leg air gap? express your answer in amperes (a), with an accuracy of \pm 0.5\%±0.5%
To determine the magnetomotive force (mmf) across the center leg air gap when the winding current of question 3 flows in the winding, we need more information. Specifically, we need the value of the winding current in amperes. Once we have that information, we can calculate the mmf across the center leg air gap.
To calculate the magnetomotive force (mmf) across the center leg air gap when the winding current of question 3 flows, we require the value of the winding current in amperes. The mmf is directly proportional to the current passing through the winding. With this information, we can accurately determine the mmf.
However, without the specific value of the winding current, we cannot provide an exact answer. It is crucial to obtain the precise current value to calculate the mmf accurately. Once the current is known, the mmf can be expressed in amperes with the specified accuracy of ±0.5%. It is recommended to consult the relevant data or measurements to determine the actual value of the winding current and subsequently calculate the mmf across the center leg air gap.
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ANSWER ASP Please help will give brainliest
An object of mass 3 kg is accelerated at 4 m/s2. What force is acting on the object?
Answer:
12 N
Explanation:
Given,
Mass ( m ) = 3 kg
Acceleration ( a ) = 4 m/s^2
To find : Force ( F ) = ?
Formula : -
F = ma
F
= 3 x 4
= 12 N
Therefore, the force acting on the object is 12 N.
Answer: 12 N
Explanation: