Q8 (10pts)
You are working with cartesian unit vectors and ŷ in the plane of the board. Your friend is introducing a
new unit vector  = 0.52 + qŷ, but isn't sure what value q should have. Solve for q and make a
recommendation for what value they could use. If you determine more than one possible value for g,
mention this in your recommendation.
Answers
The length one vectors i, j, and k, which stand for conventional measure vectors in three different dimensions, contribute along the positive x, y, and z axes, respectively.
What are the Cartesian plane's unit vectors?Unit vectors i and j, which run along the x-axis and y-axis, respectively, define the Cartesian coordinate system. The radial unit vector r, which indicates the direction away from the origin, and the unit vector t, which is orthogonal (perpendicular) to the radial direction, together create the polar coordinate system.
Can a unit vector be created by adding two unit vectors?The size of the discrepancy is three if the product of two vectors with units is a unit vector. steps to determine the size of Consider a and b, two unit vectors whose total is a unit vector c.
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Related Questions
Radar; atomic & molecular research, microwave ovens, cell phones are possible because of which type of wave? Pic attached below
Answers
Radar; atomic & molecular research, microwave ovens, cell phones are possible because of microwaves.
What are microwaves?Microwave is described as a form of electromagnetic radiation with wavelengths ranging from about one meter to one millimeter corresponding to frequencies between 300 MHz and 300 GHz respectively.
In conclusion, Microwave radiation has its effects as it can heat the body tissue the same way it heats food. Uneccessary exposure to high levels of microwaves can cause a painful burn.
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a satellite revolves around the earth in an orbit of radius 42000000m. find the value of g and its orbital speed at this hieght.
Answers
Answer:
Step 1: Given data
Acceleration due to gravity on the surface of the earth is g.
The radius of the earth is R and x is the height of the satellite above the earth's surface.
The mass of the satellite is m.
Step 2: Calculate the orbital speed of the satellite.
We know that,
mv2R+x=GMmR+x2
v=GMR+x
v=GMR2×R2R+x
Step 3: Final answer
v=gR2R+x
We can also write it as
v=gR2R+x12
Economics NCS Topic Test No 5. Perfect Market 1.3. Give ONE term for each of the following descriptions. Write uonly the term next to the question numbers (1.3.1 to 1.3.5) in the ANSWER BOOK. Abbreviations, acronyms and examples will NOT be accepted. 1.3.1 Actual expenditure of business such as wages and interest 1.3.2 The cost that changes as more or less outputs are produced 1.3.3 An institution that can make final decisions by reviewing the decisions of the competition commission and Tribunal. 1.3.4 A word that describe the characteristics of differentiated product in oligopoly or monopolistic competition. 1.3.5 A period when inputs or factors of production are fixed. (5x1) (5) TOTAL SECTION A: [201
Answers
1.3.1 - Operating costs
1.3.2 - Variable costs
1.3.3 - Competition Appeal Court
1.3.4 - Product differentiation
1.3.5 - Short run
6.
Sonography uses infrasonic waves to create images of objects found inside other objects.
True
MacBook Air
False
Answers
Answer:
False.
Explanation:
Sonography uses high-frequency sound waves, not infrasonic waves, to create images of objects found inside other objects. These sound waves bounce off the internal structures of the body and are detected by a transducer, which converts them into images that can be visualized on a screen.
Infrasonic waves are sound waves with frequencies lower than the range of human hearing, typically below 20 Hz.
2. Review the chart above. What information about ultraviolet radiation supports or
contradicts the safety of solar radiation exposure to astronauts on the international
space station?
The table shows the amount of time astronauts spent on the surface of Moon during
Answers
The information about ultraviolet radiation supports or contradicts the safety of solar radiation exposure to astronauts on the international space station. They have wore suits that protects the astronaut from the UV light.
A space station is a sort of space habitat because it can sustain a human crew in orbit for a lengthy period of time. Major landing or propulsion systems are absent. An artificial satellite, also known as an orbital station or orbital space station, is a kind of orbital spaceflight. To allow other spacecraft to dock and transfer personnel and cargo, stations need to have docking ports. Depending on the programmed, a given orbiting outpost has a different role. Military launches have also taken place, although scientific launches of space stations have predominated. astronaut have wore suits that protects the astronaut from the UV light.
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(•) How many electrins represent a Change of -70 mic?
Answers
The number of electrons represent a Change of -70 μC is 4.3 × 10¹⁴.
Electric charge is the physical property of matter that experiences force when it is placed in electric field. F = qE where q is amount of charge, E = electric field and F = is force experienced by the charge. there are two types of charges, positive charge and negative charge which are generally carried by proton and electron resp. like charges repel each other and unlike charges attract each other. the flow charges is called as current. Elementary charge is amount of charge a electron is having, whose value is 1.602 x 10⁻¹⁹ C
The value of elementary charge that is charge on 1 electron is 1.6× 10⁻¹⁹ C
-70 μC = N × 1.6× 10⁻¹⁹ C
N = -70 μC / 1.6× 10⁻¹⁹ C
N = -70 μC / 1.6× 10⁻¹⁹ C
N = 4.3 × 10¹⁴ electrons
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I don’t understand this pls help
Answers
3. You may have seen this question previously but now you will approach it using energy
concepts.
A pair of sleds weighs 25 kg and experience a frictional force of 25 N. If a dog team applies a
175 N force pulling it 12 m find:
a) the work done by friction.
b) the work done by the dog team.
c) the net work done (using the net force). How does then net work compare to the answers
from the previous two parts of the question?
d) What form of energy does the frictional force represent? What form of energy does the net
force produce?
Answers
a) Work done by friction is 300 J.
b) Work done by the dog team is 2100 J
c) Net work done 1800 J.
d) loss of mechanical energy.
How to determine work done?a) The work done by friction can be calculated using the formula
W = Fd, where F = frictional force and d = distance moved.
Therefore, W = 25 N × 12 m = 300 J.
b) The work done by the dog team can be calculated using the same formula, where F = force applied by the dog team.
Therefore, W = 175 N × 12 m = 2100 J.
c) The net work done is the sum of the work done by the dog team and the work done by friction.
Therefore, the net work done is
2100 J - 300 J = 1800 J.
The net work done is positive, which means that the sleds have gained energy.
d) The frictional force represents the loss of mechanical energy due to the interaction between the sleds and the ground. This energy is converted into thermal energy or heat. The net force produced by the dog team produces kinetic energy, which is the energy of motion of the sleds.
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2.
How did Robert Boyle demonstrate that sound needs a medium through which to travel?
He found that an alarm watch in a vacuum did not make a
sound.
He found that the speed of sound varied under different
conditions.
MacBook Air
He found that an alarm watch under water did not make a
sound.
He recorded the time that distant pistol fire was heard.
Answers
In the 1600s, a scientist by the name of Robert Boyle made the first known demonstration of the fact that a sound cannot pass through void space. Boyle placed the clock in a glass jar with a tight lid.
How can an experiment demonstrate that sound travels through a medium?Pump out the air from the sealed bell jar while putting an electrical bell inside. Set the electric bell to ringing. We cannot hear the sound that the bell makes with our ears. This indicates that sound waves require a material environment for propagation because they cannot move through a vacuum.
What justifies the notion that sound travels via a medium?Since sound waves are carried from one location to another by the molecules of solids, liquids, and gases, sound requires a physical medium for propagation, such as a solid, liquid, or gas. Since there are no molecules in the vacuum that can vibrate and convey sound waves, sound cannot travel through it.
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The length of the Achilles tendon increases 0.500 cm when the force exerted on it by the muscle increases from 3230 N to 4787 N.
How much work is done by the muscle in stretching the tendon?
Answers
The work done by the muscle in stretching the Achilles tendon is 20.04 joules.
To calculate the work done by the muscle in stretching the Achilles tendon, we can use the formula:
Work = Force × Distance
We know that the force exerted on the tendon by the muscle increased from 3230 N to 4787 N, causing the tendon to stretch by 0.500 cm.
converting the distance from centimeters to meters:
Distance = 0.500 cm = 0.005 m
Now we can calculate the work done by the muscle:
Work = Force × Distance
Work = (4787 N + 3230 N)/2 × 0.005 m
Work = 4008.5 N × 0.005 m
Work = 20.04 J
Therefore, the work done by the muscle in stretching the Achilles tendon is 20.04 joules.
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As the pendulum swings from position A to position B, what is the relationship of kinetic energy to potential energy (neglect friction)? (5 points)
The kinetic energy increase is equal to the potential energy decrease.
The potential energy increase is equal to the kinetic energy decrease.
The kinetic energy and potential energy remain the same.
The kinetic energy increase is more than the potential energy decrease.
Answers
As the pendulum swings from position A to position B, the potential energy decreases while the kinetic energy increases. According to the law of conservation of energy, the total energy in a system remains constant, neglecting friction. Therefore, the potential energy lost by the pendulum is converted into kinetic energy. The correct relationship of kinetic energy to potential energy as the pendulum swings from position A to position B is:
The potential energy decrease is equal to the kinetic energy increase.
So, the answer is option B.
Answer:
The potential energy increase is equal to the kinetic energy decrease.
A simple circuit exists with two identical light bulbs. The two light bulbs are in series with one another. If one light bulb is removed, which of the following would occur?
The current would increase.
The current would decrease.
The total resistance would increase.
The total voltage would decrease.
Answers
The current would decrease if one light bulb is removed from the circuit. Option B is correct.
If one light bulb is removed from a simple circuit with two identical light bulbs that are in series with one another, the total resistance in the circuit would increase. This is because the resistance of the circuit is proportional to the number of resistors in the circuit, and removing one bulb reduces the number of resistors in the circuit.
The total current in the circuit would decrease because the resistance has increased. This is because the current flowing through a circuit is inversely proportional to the resistance of the circuit according to Ohm's law. Option B is correct.
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Consider a ring, sphere and Solidey clinder all with the same mass. They are all held at the top of the inclined Plane which is at 20° to the horizontal. the top of the inclined Plane is Im high. The shapes are released simultaneously and allowed to roll down the inclined plane. Assume the abjects roll with out slipping and that they are all made from the same material. Assume the coefficient of static friction bin the objects and the plane is 0-3-
a) worklout what order
they would get to the bottom of the slope.
b) How long will it take each shape to reach the bottom of the Slope ?
c) which shapes have the greater moment of inertia ?
d) determine the linear acceleration(a)
e) calculate the tangential (linear) Veloci ty of each shapes-
Answers
Answer:
a) The order in which the shapes reach the bottom of the slope will be the sphere, solid cylinder, and ring.
b) The time it takes for each shape to reach the bottom of the slope can be calculated using the following equation:
t = (2d / g)^(1/2)
Where t is the time, d is the height of the inclined plane (1m in this case), and g is the acceleration due to gravity (9.8 m/s^2).
For the sphere:
t = (2 x 1 / 9.8)^(1/2) = 0.45 seconds
For the solid cylinder:
t = (2 x 1 / 9.8)^(1/2) x (5/7) = 0.36 seconds
For the ring:
t = (2 x 1 / 9.8)^(1/2) x (2/5) = 0.28 seconds
c) The moment of inertia depends on the shape of the object and how the mass is distributed around its axis of rotation. For a solid sphere, the moment of inertia is given by I = (2/5)MR^2, for a solid cylinder it is I = (1/2)MR^2, and for a ring it is I = MR^2. Therefore, the order of increasing moment of inertia is the ring, the solid cylinder, and the sphere.
d) The linear acceleration of each shape can be calculated using the following equation:
a = gsinθ / (1 + I / MR^2)
Where a is the linear acceleration, g is the acceleration due to gravity (9.8 m/s^2), θ is the angle of the inclined plane (20° in this case), I is the moment of inertia, M is the mass, and R is the radius.
For the sphere:
a = (9.8 x sin20) / (1 + (2/5)) = 2.34 m/s^2
For the solid cylinder:
a = (9.8 x sin20) / (1 + (1/2)) = 3.29 m/s^2
For the ring:
a = (9.8 x sin20) / (1 + 1) = 4.16 m/s^2
e) The tangential (linear) velocity of each shape at the bottom of the slope can be calculated using the following equation:
v = ωR
Where v is the tangential velocity, ω is the angular velocity, and R is the radius.
The angular velocity can be calculated using the following equation:
ω = (2a / R)^(1/2)
For the sphere:
ω = (2 x 2.34 / 0.05)^(1/2) = 21.8 rad/s
v = 21.8 x 0.05 = 1.09 m/s
For the solid cylinder:
ω = (2 x 3.29 / 0.05)^(1/2) = 30.7 rad/s
v = 30.7 x 0.05 = 1.53 m/s
For the ring:
ω = (2 x 4.16 / 0.05)^(1/2) = 36.4 rad/s
v = 36.4 x 0.05 = 1.82 m/s
mark me brilliant
Answer:
c
Explanation:
As clothing tumble in a dryer, they can become charged. If a small piece of lint with a charge of +1.62 E−19 C is attracted to the clothing by a force of 2.0 E−9 N, what is the magnitude of the electric field at this location?
0.38 E10 N/C
1.2 E10 N/C
3.2 E10 N/C
3.6 E10 N/C
Answers
Answer:
1.2 E10 N/C
Explanation:
The force between two charged objects can be calculated using Coulomb's law:
F = k * q1 * q2 / r^2
where F is the force, k is Coulomb's constant (k = 8.99 x 10^9 N m^2 / C^2), q1 and q2 are the charges of the two objects, and r is the distance between them.
Rearranging this equation to solve for the electric field at a point, we get:
E = F / q
where E is the electric field strength and q is the charge at that point.
Substituting the given values, we get:
E = (2.0 x 10^-9 N) / (1.62 x 10^-19 C)
E = 12345.68 N/C
Therefore, the magnitude of the electric field at this location is 1.235 x 10^4 N/C.
6.3 A probability found through quantum mechanics. In the test of Bells
theorem, experiment 6.2, what is the probability given by quantum
mechanics that, if the orientation settings are different, the two
detectors will flash different colors?
Answers
According to the given information, regardless of the orientation settings, the two detectors will flash different colors with probability . This prediction is based on quantum mechanics.
How to explain the experimentIn the experiment described, a pair of atoms are produced from a central source and detected by two detectors that are separated by a distance of nearly seven miles.
Each detector has the possibility of being oriented as A, B, or C, and is mounted with two colored lamps, a red lamp, and a green lamp.
According to the predictions of quantum mechanics, if the orientation settings of the two detectors are the same, then the two detectors always flash different colors.
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Two small Styrofoam balls that are separated (between their centers) by 4 cm experience a force of attraction of 15 N. If the balls are separated by 8 cm, the force between them would be ___ N.
Answers
Answer:
f = 15/4 = 3.75
Explanation:
Complete the following sentences:
Wave speed is NOT dependent on _________ or ____________. Instead, wave speed only changes when the ______________ changes. This means that if a sound wave is traveling in pure water and the frequency doubles, the wavelength must _________.
Answers
The Titanic had a mass of 52,800 tonnes and was travelling at 41.74 km/h when
the iceberg was sighted. By the time it hit the iceberg 30 seconds later, it had
slowed to 38.5 km/h
What was the force?
Answers
Answer:
Explanation:
mv^2/2/t=712,2kN
4-What is the equivalent resistance of this circuit?
( )32 Ω
( )43 Ω
( )48 Ω
( )74 Ω
Answers
Explanation:
The parallel resistors ( 10 and 40 Ω) have an equivalent resistance of
( 40 * 10 ) / ( 40 + 10 ) = 8 Ω
Then you can add all of the series resistances to find the total resistance
15 + 25 + 8 Ω = 48 Ω
Remember V = IR ....then V/R = I
Current = V/ R = 55 v / 48 Ω = 1.15 A
the laboratory for a body. I in rth. Total:[4] (2) bout a point? ...[1] hat are they? [2] le which is ntally by an (11 iform metre rule Figure 4.1 below shows astone of mass 2kg which drops from the top of a cliff and takes two seconds to strike the ground Acceleration of free fall.g=10m/s². Stone T 77 Figure 4.1 (a) Name the form of energy possessed by the stone before it falls. (b) Determine the height of the cliff (c) Calculate (i) Ground Height,h.......... [2] The kinetic energy of the stone when half way down. [1] Kinetic energy......... The final velocity of the stone as it strikes the [2] stone Klif
Answers
The stone possesses potential energy at the top of the cliff, which is converted to kinetic energy as it falls toward the ground. Using the formula for the distance traveled by a freely falling object, we can calculate that the height of the cliff is 20 meters. The ground height is equal to zero, and when the stone is halfway down, it has a kinetic energy of 100 Joules. Using the formula for the final velocity of a freely falling object, we can calculate that the stone's final velocity as it strikes the ground is 20 m/s.
(a) The form of energy possessed by the stone before it falls is potential energy. When the stone is at the top of the cliff, it has the potential to do work due to its position relative to the ground. This potential energy is converted into kinetic energy as the stone falls towards the ground.
(b) We can use the formula for the distance traveled by a freely falling object to determine the height of the cliff:
d = 1/2 * g * t^2
where d is the distance, g is the acceleration due to gravity, and t is the time taken to fall.
Substituting the given values, we get:
d = 1/2 * 10m/s^2 * (2s)^2
d = 20 meters
Therefore, the height of the cliff is 20 meters.
(c)
(i) The ground height h is equal to zero since it is the reference level.
(ii) When the stone is halfway down, it has fallen a distance of d/2 = 10 meters. At this point, all of the potential energy has been converted to kinetic energy. We can use the formula for kinetic energy to calculate the kinetic energy of the stone:
KE = 1/2 * m * v^2
where KE is the kinetic energy, m is the mass of the stone, and v is its velocity.
Substituting the given values, we get:
KE = 1/2 * 2kg * (2 * g * d/2)
KE = 100 Joules
Therefore, the kinetic energy of the stone when halfway down is 100 Joules.
(iii) To find the final velocity of the stone as it strikes the ground, we can use the formula for the final velocity of a freely falling object:
v = sqrt(2 * g * d)
where v is the final velocity, g is the acceleration due to gravity, and d is the distance fallen.
Substituting the given values, we get:
v = sqrt(2 * 10m/s^2 * 20m)
v = sqrt(400)
v = 20 m/s
Therefore, the final velocity of the stone as it strikes the ground is 20 m/s.
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Help. Don’t mind the highlighter answers i don’t know if there right
Answers
A convex lens is also known as a converging lens because it causes the incident light rays that are travelling parallel to its main axis to converge.
A convex lens has an outward curvature. In comparison to the edges, the middle is thicker. The rays of light bend in the direction of one another when they travel through a convex lens. On the other side of the lens, the rays only come together at one location. Convex lenses amplify or provide the impression that objects are larger.
The image is upside down in relation to the original object and is also oriented inverted from right to left in the convex lens. The term "inverted" refers to such a position. The real image formed by the convex lens is inverted.
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6.1 Instantaneous communication. In your own words, explain why you
cannot send a message instantaneously using the mechanism of ex-
periment 6.1. If quantum mechanics were deterministic rather than
probabilistic, yet the distant atoms still always left from opposite
exits of a stern gerlach analyzer, would you then be able to send a message instantaneously?
What if the operator of the left-hand Stern-Gerlach analyzer were
somehow able to force his atom to come out of the + exit?
Answers
We can see here in one's own words, instantaneous communication would still not be conceivable even if quantum mechanics were predictable and the results of measurements could be predicted in advance. This is because, even if they were entangled, any attempt to change the state of one atom would inevitably change the state of the other atom.
What is quantum mechanics?The behavior and interaction of particles at the atomic and subatomic scales is the subject of quantum mechanics, a subfield of physics. It offers a mathematical framework for describing the probabilistic nature of physical occurrences in the microscopic world as well as the wave-particle duality of matter.
Until they are measured or observed, particles in quantum mechanics do not have fixed positions or attributes, and the measurement process might have an impact on the system being examined.
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are physical quantities and fundamental quantities same
Answers
Answer:
The physical quantities are the quantities that are the base quantities of the measurement. They are known as the fundamental quantities. The units of those units are known as the fundamental units. The derived physical quantities are dependent on the fundamental quantities.
4 A student notices that she gets a shock when she touches a metal door handle she has been charged by walking across a carpet. Would she get a shock if the handle was made of plastic?
Answers
Answer:
Not likely
Explanation:
She might feel a slight shock if she touches a plastic door handle after walking across a carpet, but not nearly as much as when she touches a metal handle. This is because plastic is an insulator, which means it does not conduct electricity very well. Metal is an excellent conductor. When the student drags her feet across a carpet, she builds up a negative electric charge on her body. Free electrons are released from the carpet due to friction between the carpet and her shoes, and the electrons collect on the surface of her body. If she touches a metal object like a door handle, the electrons flow from her body to the metal, resulting in a static discharge--a shock. However, if she touches a plastic object, the charge will not flow as easily and she is less likely to feel a shock. The electrons on her body repel the electrons in the metal door knob, leaving the surface of the metal doorknob positively charged, so the electrons jump across a short air gap to the metal door and she feels an electrical shock. This won't happen so dramatically with a plastic handle because the electrons in plastic won't be as easily repelled as in a metal handle.
When a 102 g mass is hung on a spring it stretches 4.0 cm. The spring is then set in SHM by stretching it a further 6.0 cm and then releasing it.
a) Calculate the force required to stretch the spring 6.0 cm.
Answers
Answer:
1.53 N
Explanation:
The force required to stretch a spring is given by Hooke's law: F = k*x, where F is the force, k is the spring constant, and x is the displacement from the equilibrium position.
In this problem, we are given the mass and the displacement of the spring, but we need to find the spring constant before we can calculate the force.
The spring constant can be found using the equation k = F/x, where F is the force required to stretch the spring and x is the corresponding displacement.
Given that the 102 g mass stretches the spring by 4.0 cm, we have:
k = F/x = (mg)/x = (0.102 kg)(9.8 m/s^2)/(0.04 m) = 25.5 N/m
where g is the acceleration due to gravity.
Now, to calculate the force required to stretch the spring by 6.0 cm, we use the same equation with the new displacement:
F = kx = (25.5 N/m)(0.06 m) = 1.53 N
Therefore, the force required to stretch the spring by 6.0 cm is 1.53 N.
The force
Answers
Answer: .
Explanation: .
2.
How did Robert Boyle demonstrate that sound needs a medium through which to travel?
He found that an alarm watch in a vacuum did not make a
sound.
He found that the speed of sound varied under different
conditions.
MacBook Air
He found that an alarm watch under water did not make a
sound.
He recorded the time that distant pistol fire was heard.
Answers
Robert Boyle demonstrated that sound needs a medium through which to travel by observing that an alarm watch in a vacuum did not make a sound. Option 1 is the answer.
Sound and mediumSound is a form of energy that results from the vibration of matter. When an object vibrates, it creates sound waves that travel through a medium and can be perceived by the human ear.
A medium is a substance or material through which waves can travel. In the case of sound, air, water, and solids such as metal or wood can serve as a medium. Without a medium, sound cannot propagate because there are no molecules to vibrate and transmit the waves.
Robert Boyle demonstrated that sound needs a medium through which to travel by observing that an alarm watch in a vacuum did not make a sound. This led him to conclude that sound requires a medium, such as air or water, to propagate.
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2. Suppose the sled runs on packed snow. The coefficient of friction is now only 0.12. A person and sled weighing 650 N sits on the sled and it is pulled at a constant velocity across the snow.
A. Draw FBD.
B. What is the combined mass of the sled and person?
C. Determine the frictional force value.
D. What is the value of the force needed to pull the sled?
Answers
Answer:
Explanation:
B. W = mg m = W/g = (650 N)/(9.8 m/s²) = 66.33 kg
C. Ff = μN = (0.12)(650 N) = 78 N
D. F > 78 N
Note: Brainly doesn't provide drawing tools, so I can't help you with the FBD. But here's a try at it: N = normal force, F = applied force, W = weight of person + sled, Ff = force of friction, ⊕ (person and the sled)
N
↑
Ff← ⊕ →F
↓
W
An electric golf cart develops 1.25 kW of power while moving at a constant speed: (a) Express its power in horsepower: (b) If the cart travels 200 m in 35.0 %, what force is exerted by the cart?
Answers
a) The power of the electric golf cart is approximately 1.674 horsepower.
b) The force exerted by the electric golf cart is approximately 2182.5 Newtons.
Power and force in the Electric golf cart(a) To convert 1.25 kW to horsepower, we can use the conversion factor:
1 horsepower = 0.746 kW
So, 1.25 kW = (1.25/0.746) horsepower = 1.674 horsepower (approximately)
Therefore, the power of the electric golf cart is approximately 1.674 horsepower.
(b) To calculate the force exerted by the cart, we can use the following formula:
force = power / velocity
where power is in watts, velocity is in meters per second, and force is in Newtons.
First, we need to convert the power of the cart from 1.25 kW to watts:
1 kW = 1000 watts
So, 1.25 kW = 1250 watts
Now, we need to convert the distance traveled by the cart from meters to kilometers, and the time taken from seconds to hours:
200 m = 0.2 km
35.0% = 0.35 hours
Using the formula, we can calculate the force exerted by the cart as:
force = power / velocity
force = 1250 / (0.2/0.35)
force = 1250 / 0.5714
force = 2182.5 N (approximately)
Therefore, the force exerted by the electric golf cart is approximately 2182.5 Newtons.
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Four point masses 2kg, 4kg, 6kg and 8kg are placed at the corners of Square ABCD of 2cm long respectively. Find the Position of centre of mass of the system from the corner A.
please help me I give you 50 coins
Answers
Let's call the mass at point A M1, the mass at point B M2, the mass at point C M3, and the mass at point D M4.
The x-coordinate of the center of mass is given by:
x_cm = (M1*x1 + M2*x2 + M3*x3 + M4*x4) / (M1 + M2 + M3 + M4)
The y-coordinate of the center of mass is given by:
y_cm = (M1*y1 + M2*y2 + M3*y3 + M4*y4) / (M1 + M2 + M3 + M4)
We know that the distance between any two adjacent corners of the square is 2cm. Therefore, we can say that the coordinates of the four masses are:
M1 = 2kg at (0,0)
M2 = 4kg at (2,0)
M3 = 6kg at (2,2)
M4 = 8kg at (0,2)
Substituting these values into the equations above, we get:
x_cm = (2*0 + 4*2 + 6*2 + 8*0) / (2 + 4 + 6 + 8) = 2
y_cm = (2*0 + 4*0 + 6*2 + 8*2) / (2 + 4 + 6 + 8) = 2
Therefore, the center of mass of the system is located at a distance of 2cm from corner A along the x-axis and 2cm from corner A along the y-axis.