The smallest density of a liquid in which the rock will float is 4.84 N / (V * g), where V is the volume of the rock and g is the acceleration due to gravity.
The smallest density of a liquid in which the rock will float can be determined by considering the balance of forces acting on the rock when it is suspended in water.
When the rock is fully immersed in a liquid, it experiences an upward buoyant force equal to the weight of the liquid displaced by the rock. This buoyant force counteracts the downward force of gravity on the rock, allowing it to float.
The buoyant force (F_b) can be calculated using Archimedes' principle: F_b = ρ_fluid * V * g, where ρ_fluid is the density of the fluid, V is the volume of the rock, and g is the acceleration due to gravity.
The weight of the rock (F_g) is given by F_g = m * g, where m is the mass of the rock.
In equilibrium, the tension in the string (F_tension) is equal to the difference between the weight of the rock and the buoyant force: F_tension = F_g - F_b.
Given that the mass of the rock is 1.80 kg and the tension in the string is 12.8 N, we can calculate the weight of the rock: F_g = m * g = 1.80 kg * 9.8 m/s^2 = 17.64 N.
Substituting the values into the equation for tension, we have: 12.8 N = 17.64 N - ρ_fluid * V * g.
To find the smallest density of the liquid in which the rock will float, we need to find the maximum volume of the rock that can be submerged in the liquid. This occurs when the rock is fully submerged but not floating on the surface.
Assuming the entire mass of the rock is submerged, we can equate the volume of the rock (V_rock) to the volume of the fluid displaced: V_rock = V_fluid.
By rearranging the equation for tension, we can solve for the density of the fluid: ρ_fluid = (F_g - F_tension) / (V * g).
Plugging in the known values, we have: ρ_fluid = (17.64 N - 12.8 N) / (V * g).
Since the volume (V) of the rock cancels out due to the equality with the volume of the fluid, the density of the fluid is given by: ρ_fluid = 4.84 N / (V * g).
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Mel draws a graph showing a bus journey through town. Explain why this should be called a speed/time graph, not a velocity/time graph.
Speed is the ratio of distance to time in which distance was covered. Hence to determine a journey, which means to determine a distance a person has travelled, one uses speed/time graph and not velocity/ time graph.
What is the difference between speed/time graph and velocity/time graph?The velocity/time graph represents the change in velocity with respect to time. In this graph time is taken across the x axis and velocity is taken across the y axis. Then the slope of the velocity time graph reveals acceleration of the object.
The speed/time graph represents the motion of the object with respect to time. It determines the motion of the object at rest, with constant speed as well as with changing speed. Thus a speed/time graph is more useful to determine the journey of the person.
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7
Select the correct location on the image.
Objects A and B are brought close to each other. Object A will soon become positively charged. Identify the charge that must transfer for this
situation to occur.
+
A
B
Answer:
Explanation:
For A to become positively charged, a + charge must transfer from B to A.
The charge that must transfer for object A to become positively charged is the negative charge in object A.
What is charging by conduction?Charging by conduction occurs when a charged object causes the flow of electron when it comes in contact with an uncharged object.
An object can either be negatively or positively charged. An object is said to be positively charged when it contains more protons than electron.
Therefore, for object A to be positively charged, the charge that must transfer for object A to become positively charged is the negative charge.
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sekazi is learning to ride a bike without training wheels. his father pushes him with a constant acceleration of 0.50 m/s2 for 6.0 s, and then sekazi continues at 3.0 m/s for another 6.0 s before falling. what is sekazi’s displacement?
we can state that Sekazi's displacement while learning to ride a bike without training wheels is 22.5 meters.
To find Sekazi's displacement, we can break down the problem into two parts: the time Sekazi's father pushes him and the time Sekazi continues on his own.
First, let's calculate the displacement when Sekazi's father pushes him.
We know that the acceleration is constant at 0.50 m/s² for 6.0 seconds. To find the displacement during this time, we can use the equation:
displacement = (initial velocity × time) + (0.5 × acceleration × time²)
Since Sekazi starts from rest, the initial velocity is 0 m/s. Plugging in the values, we get:
displacement = (0 × 6.0) + (0.5 × 0.50 × 6.0²)
displacement = 0 + (0.5 × 0.50 × 36.0)
displacement = 0 + (0.5 × 0.25 × 36.0)
displacement = 0 + (0.125 × 36.0)
displacement = 0 + 4.5
displacement = 4.5 meters
Now, let's calculate the displacement when Sekazi continues on his own at a constant velocity of 3.0 m/s for 6.0 seconds. Since the velocity is constant, the acceleration is 0. Using the equation:
displacement = (initial velocity × time) + (0.5 × acceleration × time²)
We know that Sekazi's initial velocity is 3.0 m/s and the time is 6.0 seconds. Plugging in the values, we get:
displacement = (3.0 × 6.0) + (0.5 × 0 × 6.0²)
displacement = 18.0 + (0 × 36.0)
displacement = 18.0 + 0
displacement = 18.0 meters
To find the total displacement, we add the displacement when Sekazi's father pushes him (4.5 meters) to the displacement when Sekazi continues on his own (18.0 meters):
total displacement = 4.5 + 18.0
total displacement = 22.5 meters
Therefore, Sekazi's displacement is 22.5 meters.
With the proper conclusion, we can state that Sekazi's displacement while learning to ride a bike without training wheels is 22.5 meters.
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How long does it take for uranus to rotate on its axis.
Answer: 17 hours
Explanation:
As a stop light changes from red to green, a car starts to cross through the intersection. An instant before it begins to move, its velocity is zero. Must its acceleration at that time also be zero. Why or why not
Answer:
Yes, the acceleration at that time is also zero because the velocity is zero.
Explanation:
To answer the question given above, we shall determine the acceleration of the car at time 't' when the velocity is zero.
From the question given above, the following data were obtained:
Velocity (v) = 0 m/s
Time (t) = t
Acceleration (a) =?
Acceleration is defined as:
Acceleration (a) = Velocity (v) / time (t)
a = v/t
a = 0/t
a = 0
From the above illustration, we can see that the acceleration is zero irrespective of the time 't'.
Therefore, the acceleration of the car will be zero since the velocity of the car at time 't' is zero.
Which of the following is a unit of volume in the English system of measurement? (4 points)
Meters
Gallons
Liters per cubic gram
Kilograms per cubic centimeter
Answer:
Explanation:
the answer is gallons because i got it right on the exam
Find the unit vectors that are parallel to the tangent line to the parabola at the point
At the coordinates (2, 4), the unit vector (I + 4j)/17 is parallel to the line tangent to the parabola
y = x2.
The resultant vector of A and B is the sum of vectors A and B. Hence this is the unit vector parallel to the resultant vector AB
What is a Unit vector ?Vectors with a magnitude of exactly one unit are known as unit vectors. For a variety of reasons, they are really helpful. Specifically, any other vector can be formed by combining the unit vectors [0,1] and [1,0].
These unit vectors are frequently used to denote direction, with the magnitude being provided via a scalar coefficient. The sum of unit vectors and scalar coefficients can then be used to represent a vector decomposition. Finding the vector parallel to V with a unit length given a vector V is a possible problem to think about.Learn more about Unit vector here:
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can all alpha beta and gamma radiation treat cancer
Answer:
No
Explanation:
Only a few of alpha beta and gamma radiation can treat cancer
an ant of mass 1 gram clings to the rim of a flywheel of radius 0.4 m. the flywheel rotates clockwise on a horizontal shaft s at a constant rate of 2 revolutions per second. as the wheel rotates, the ant revolves past the stationary points i, ii, iii, and iv. the ant can adhere to the wheel with a force much greater than its own weight. what force must the ant hold on to stay on the wheel at point iii?
If the flywheel's rotational velocity is constant and the force applied by the ant is strong enough, the ant will adhere to the wheel's rim without slipping.
In this case, the ant's tangential velocity will be the same as the wheel's tangential velocity, and the centripetal force acting on the ant will be supplied by the frictional force.Using F = ma, we know that a = v^2/r. We can then substitute the value for the angular velocity and wheel radius to get the centripetal acceleration.
The centripetal force on the ant is m*ac. This centripetal force is supplied by the ant's grip on the wheel. Since the ant can hold on to the wheel with a force much greater than its own weight, it is safe to assume that the force of the grip is greater than the centripetal force.
In conclusion, the force with which the ant must hold on to stay on the wheel at point III is equal to the centripetal force exerted on it, which is equal to its mass multiplied by its centripetal acceleration, which is equal to m*v^2/r.
The mass of the ant is given as 1 gram (0.001 kg), and the radius of the wheel is given as 0.4 m. The linear velocity v can be calculated using the formula v = ωr. Therefore, the force required to keep the ant on the wheel at point III is:F = m*v^2/rF = 0.001*[(2*2*3.14*0.4)^2]/0.4F = 9.92 N (approximately)
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consider a rlc circuit that consists of a 1 kw resistor in series with a 7 mf capacitor and a 130 mh inductor. a) what is the frequency that results in the maximum current passing through the circuit?
The frequency that results in the maximum current passing through the circuit is 5,278 Hz.
The resonance frequency of a series RLC circuit is given by:
f = 1 / (2π√(LC))
f = 1 / (2π√(LC))
f = 1 / (2π√(130 x \(10^{-3}\) x 7 x \(10^{-6}\)))
f = 1 / (2π√(0.910 x \(10^{-9}\)))
f = 1 / (2π x 0.00003018)
f = 5,278 Hz
An RLC circuit is an electrical circuit that consists of a resistor (R), an inductor (L), and a capacitor (C) connected in series or parallel. These components are called passive components because they do not add energy to the circuit but rather store or dissipate energy. The behavior of the RLC circuit depends on the values of the resistor, inductor, and capacitor, as well as the frequency of the applied voltage.
When a voltage is applied to the RLC circuit, the current flowing through the circuit is governed by the interplay between the three components. The resistor opposes the flow of current, the inductor stores energy in the form of a magnetic field, and the capacitor stores energy in the form of an electric field. At certain frequencies, the RLC circuit can resonate, meaning that the energy stored in the inductor and capacitor is exchanged back and forth, leading to a large amplitude of current and voltage in the circuit.
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You pull on a wagon resting on the sidewalk. What will happen next.
A. The wagon does not move because the wagon applies more force to you than you apply to the wagon.
B. The wagon moves because you apply more friction to the ground.
C. The wagon does not move because the force you apply to the wagon is equal to the force it applies to you.
D. The wagon moves because you apply more force to the wagon than it applies to you
D. The wagon moves because you apply more force to the wagon than it applies to you.
You apply force to a waggon when you push it. Newton's third law of motion states that you will experience an equal and opposite force from the waggon. The waggon moves, though, since the force you exert on it is larger than the force it exerts on you. This is so because the definition of force is the sum of mass and acceleration. Because the waggon is heavier than you are, it needs more energy to accelerate. You can use more effort when pushing the cart since you are lighter and can accelerate more readily.
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ACTIVITY 4
Applying the equation learned, answer the following problems:
1. A bowling ball whose mass is 4.0 kg is rolling at a rate of 2.5 m/s. What is its momentum? p = m/s. What Is Its Momentum?
Given:
Find:
Formula:
Solution:
2. A skateboard is rolling at a velocity of 3.0 m/s with a momentum of 6.0 kg-m/s. What is its mass?
Given:
Find:
Formula:
Solution:
3. A pitcher throws a baseball with a mass of 0.5 kg and a momentum of 10 kg-m/s. What is its velocity?
Given:
Find:
Formula:
Solution:
Subject Is Science
Good Perfect Complete=Brainlist
Copy Wrong Incomplete=Report
Good Luck Answer Brainly Users:-)
Answer:
1) 10 kg-m/s
2) 2 kg
3) 20 m/s
Explanation:
The momentum of an object can be calculated using the equation:
\(\large\boxed{p=mv}\)
where:
p is momentum (measured in kilogram meters per second).m is mass (measured in kilograms).v is the velocity (measured in meters per second).\(\hrulefill\)
Question 1For this question we need to find the momentum of a bowling ball whose mass is 4.0 kg is rolling at a rate of 2.5 m/s.
Given values:
m = 4.0 kgv = 2.5 m/sSubstitute the given values into the momentum formula and solve for p:
\(p=4.0\;\text{kg} \cdot 2.5\;\text{m/s}\)
\(p=10\;\text{kg m/s}\)
Therefore, the momentum of the bowling ball is 10 kg-m/s.
\(\hrulefill\)
Question 2For this question we need to find the mass of a skateboard rolling at a velocity of 3.0 m/s with a momentum of 6.0 kg-m/s.
Given values:
p = 6.0 kg-m/sv = 3.0 m/sAs we want to find mass, rearrange the momentum formula to isolate m:
\(\large\boxed{m=\dfrac{p}{v}}\)
Substitute the given values into the formula and solve for m:
\(m=\dfrac{6.0\; \text{kg m/s}}{3.0\; \text{m/s}}\)
\(m=2\;\text{kg}\)
Therefore, the mass of the skateboard is 2 kg.
\(\hrulefill\)
Question 3For this question we need to find the velocity of a baseball with a mass of 0.5 kg and a momentum of 10 kg-m/s.
Given values:
p = 10 kg-m/sm = 0.5 kgAs we want to find velocity, rearrange the momentum formula to isolate v:
\(\large\boxed{v=\dfrac{p}{m}}\)
Substitute the given values into the formula and solve for v:
\(v=\dfrac{10\; \text{kg m/s}}{0.5\; \text{kg}}\)
\(v=20\;\text{m/s}\)
Therefore, the velocity of the baseball is 20 m/s.
1. Find the temperature when the degrees of the Celsius scale will be one fifth of the corresponding degrees of the Fahrenheit scale
2. How much heat is necessary to warm 500g of water from 20°C to 65°C?
Answer:
F = 9/5 C + 32 conversion from C to F
F = 9/5 * F/5 + 32
25 F = 9 F + 800
16 F = 800
F = 50
Check:
C = 5/9 ( F - 32) = 5/9 (50 - 32) = 10 as requested
Q = c m change in temp
Q = 1 cal/gm-deg C * 500 gm * 45 deg C = 22,500 calories
50 Fahrenheit heat required.
How much heat required?Heat transfer is a discipline of thermal engineering that concerns the generation, use, conversion, and exchange of thermal energy between physical systems.
F = 9/5 C + 32 conversion from C to F
F = 9/5 * F/5 + 32
25 F = 9 F + 800
16 F = 800
F = 50
The answer is 50 Fahrenheit.
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what is Sl system define brefly
Answer:
SL. Special Linear (mathematics)
Bobby and Michael are competing by running up bleachers. Both runners weigh the same. Bobby runs up the
bleachers in 30s and Micheal run up the same bleachers in 40s. Who is more powerful?
A Bobby and Michael are both equally powerful.
B Michael because he took longer to run up the stairs.
C Bobby because he runs up the stairs faster.
D Bobby because he does more work.
Bobby is more powerful because he runs up the stairs faster.
What is power?Power is known to be the speed at which work is done. P = gravimetric power The SI unit is Watt W, where 1 Watt equals 1 Joule/second (1W=1J/s). Since work is energy transfer, power is also the rate at which energy is consumed. For example, a 60 W light bulb consumes 60 J of energy per second.
W = F × s
Where, W = work done
F = Force
s = distance
Since both of them are of same weight and can exert equal force while running and are covering same distance, their work done will be equal.
Now according to, P = W/T
Where, P = Power
W = Work
T = Time
Hence, power is inversely proportional to time.
Lesser the time for a particular work higher will be the power.
Time taken by Bobby to reach the bleachers = 30s
Time taken by Michael to reach the bleachers = 40s
As Bobby took lesser time to reach the bleachers, implies his high rate of work.
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Sherlock Holmes discovers some hair fiber at a crime scene. He view the hairs through his magnifying glass from a distance of 6 cm. If the hairs are magnified 4.0 times, what is the distance to the magnified image?
This question involves the concept of magnification.
The distance to the magnified image will be "24 cm".
Image DistanceThe magnification of the magnifying glass is given by the following formula:
\(M=\frac{q}{p}\\\\q=Mp\)
where,
q = image distance = ?M = Magnification = 4p = object distance = 6 cmTherefore,
q = (4)(6 cm)
q = 24 cm
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Which of the following supports the theory of continental drift?
A. Mountains on different continents match up.
B. Earth's crust is all in one piece.
C. Earth has hot climates at the equator.
D. There is one continent on Earth.
Answer:
A. Mountains on different continents match up.
Explanation:
Due to the drifting/ moving apart of the continents, land masses is split therefore in case of a mountain that split, it matches the other part in another continent.
Convert using dimensional analysis
I) 18/5 kmph into m/s (velocity)
II) 5/18 m/s into kmph(velocity)
I) The velocity 18/5 kmph in m/s is 4 m/s.
II) The velocity 5/18 kmph in m/s is 20 kmph.
Dimensional Analysis is a mathematical process used to convert one unit to another. This is done by multiplying the original value with a ratio of equivalent units that is equal to 1. When using dimensional analysis, it is important to keep track of units and cancel out any units that are not needed.
The following is the solution to the conversion of kmph to m/s and vice versa using dimensional analysis.
I) 18/5 kmph into m/s (velocity)When converting kmph to m/s, we need to multiply by 1000/3600 which is equal to 5/18 since there are 1000 meters in one kilometer and 3600 seconds in one hour. Therefore,18/5 kmph x 1000 m/1 km x 1 hour/3600 s = 4 m/s (velocity). Thus, 18/5 kmph is equal to 4 m/s.
II) 5/18 m/s into kmph (velocity)When converting m/s to kmph, we need to multiply by 3600/1000 which is equal to 18/5 since there are 3600 seconds in one hour and 1000 meters in one kilometer. Therefore,5/18 m/s x 3600 s/1 hour x 1 km/1000 m = 20 kmph (velocity). Thus, 5/18 m/s is equal to 20 kmph.
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A whale travels 112 meters at 14 m/s How long does this take?
Answer:
8
Explanation:
112meters divided by 14
At a distance of 2.00 m from a point source of sound, the intensity level is 80.0 dB. What will be the intensity level at a distance of 4.00 m from this source? The lowest detectable intensity is 1.0 10-12 W/m2. A) 74.0 dB B) 77.0 dB C) 40.0 dB D) 20.0 dB E) 60.0 dB
The answer to the question is:
77.0 dB
When the distance from a point source of sound is doubled, the intensity level decreases by 6 dB. This decrease in intensity level with increasing distance is due to the spreading of sound waves over a larger area. According to the inverse square law, the intensity of sound is inversely proportional to the square of the distance from the source.
In this case, the distance is doubled from 2.00 m to 4.00 m. Since the distance is doubled, the intensity level will decrease by 6 dB. Therefore, we subtract 6 dB from the initial intensity level of 80.0 dB.
80.0 dB - 6 dB = 74.0 dB
So, the intensity level at a distance of 4.00 m from the source will be 74.0 dB.
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Fill out the VIR chart for this electrical circuit
The current at point A = 3A, The current at B = 6 A, the current at C = 2.25 A, the current at D = 18 A.
What is the current flowing in the circuit?The current flowing in the circuit is calculated as follows;
Same current will be flowing at point A and C since they are in series, while different current will be flowing in the rest of the circuit.
Total resistance is calculated as;
1/R = 1/(3 + 9) + 1/6 + 1/2
1/R = 1/12 + 1/6 + 1/2
R = 1.33
The total current in the circuit;
I = V/R
I = 36 V / 1.33
I = 27 A
Current at B = 36 / 6 = 6 A
Current at D = 36 / 2 = 18 A
Current at A and C = 27 A - (6 + 18)A = 3 A
Current at A = 3 / 12 x 3 A = 0.75 A
current at C = 9 / 12 x 3A = 2.25 A
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Explain how light and
heavy elements are
created within stars?
Great question! Your answer is below.
They were created prior to the formation of our solar system, thus...
Huge, gigantic stars had to have existed, perished, and burst, releasing the materials they produced into the universe. These materials subsequently gathered via gravity to form our solar system and perhaps dozens or hundreds of others.
Our Sun is currently fusing hydrogen into helium; when hydrogen runs out, the Sun will compress a little, and the added pressure on the core will cause the helium to start fusing into carbon for a short while; then, the sun will die, and that will be that. Stars fuse lighter materials into heavier ones.
But with large stars, the outer layer may be made of hydrogen, which will be fusing into helium underneath it along a boundary. The helium layer will fuse into the carbon layer, the carbon layer will fuse into the calcium layer, and so on, up to the iron layer.
When iron production in a star's core starts, the star is doomed. The creation of elements *heavier* than Iron *takes* energy* Iron is the heaviest element ever formed that will release energy. Therefore, the star will eventually stop fusing, and its powerful gravitational pull will lead it to collapse. The abrupt in-falling mass generates the energy required for fusing the heavier metals, such as lead, gold, and uranium, after which the star's mass rebounds, resulting in the explosion known as a supernova. Before the formation of our solar system, all of this took place.'
Thanks!
- Eddie
two point masses m and m are separated by a distance d. if the distance between the masses is increased to 3d, how does the gravitational force between them change?
The gravitational force between them change is force will be one-ninth as great.
It is possible to think of the gravitational force as an attracting force that pulls all mass-containing physical objects together. It is the known natural force with the lowest strength. Gravitational force is the name for the force that the earth exerts on a body. As an illustration of motion caused by gravity, consider how leaves and fruits fall to the ground from trees, how water flows down rivers, or how a ball tossed into the air flies to a height before falling back to earth. The universal force of attraction operating on all matter is known as gravity, usually spelled gravitation, in mechanics. It plays no part in determining the interior properties of common stuff because it is by far the weakest force in nature that is known to exist.e.
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A boulder with a mass of 2,500 kg resting on a ledge 200 m above the ground falls. If the boulder’s ME is conserved, what is the speed of the boulder just before it hits the ground?
Answer:
nitial GPE = final KE 2500*10*200 = ½ 2500*v^2 v^2 = 2*10*200 v= 63.24 m/sec
Explanation:
python
Write a NumPy program to create random vector of size 15 and replace the maximum value by \( -1 \). Print the original array and the one with maximum replaced by - ?
import numpy as np:
random_vector = np.random.rand(15)
modified_vector = np.where(random_vector == np.max(random_vector), -1, random_vector)
print("Original Array:", random_vector)
print("Modified Array:", modified_vector)
A NumPy program that creates a random vector of size 15, replaces the maximum value with -1, and prints both the original array and the modified array:
```python
import numpy as np
# Create a random vector of size 15
random_vector = np.random.rand(15)
# Find the maximum value in the vector
max_value = np.max(random_vector)
# Replace the maximum value with -1
modified_vector = np.where(random_vector == max_value, -1, random_vector)
# Print the original and modified arrays
print("Original Array:")
print(random_vector)
print("\nModified Array:")
print(modified_vector)
```
When you run this program, it will generate a random vector of size 15 and display the original array. Then, it will replace the maximum value in the array with -1 and display the modified array.
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On a fine spring day you notice that the temperature is 68°F. What is the corresponding temperature on the Celsius scale? (step by step pls!)
Answer:
20°C
Explanation:
The relationship between temperature in degrees Fahrenheit(F) and degrees Centigrade (C) is
C = (F - 32) x 5/9
Given F = 68°F
C = (68-32) x 5/9
= 36 x 5/9
= 36/9 x 5
= 4 x 5
= 20°C
Answer:
20º C
Explanation:
The formula for converting Fahrenheit to Celsius is:
C = 5/9 • (F - 32)
Plugging 68º for F we get:
C = 5/9 •(68º-32)
C = 5/9 •(36)
C = 20º
What is Carnot engine ?
A Carnot heat engine is a theoretical engine that operates on the Carnot cycle. The basic model for this engine was developed by Nicolas Léonard Sadi Carnot in 1824. ... In the process of going through this cycle, the system may perform work on its surroundings, thereby acting as a heat engine.
A 6. 58 x 103 N upward tension force is exerted on a 521-kg downward-moving freight elevator. Determine the acceleration of the elevator.
To determine the acceleration of the freight elevator, we can use Newton's second law of motion, which states that the acceleration of an object is directly proportional to the net force acting on it and inversely proportional to its mass.
Given:
Tension force (F) = 6.58 x 10^3 N (upward)
Mass of the elevator (m) = 521 kg
We need to consider the net force acting on the elevator. Since the tension force is upward and the elevator is moving downward, the net force can be calculated as the difference between the tension force and the force due to the gravitational pull:
Net force (F_net) = Tension force - Force due to gravity
The force due to gravity can be calculated using the equation F_gravity = m * g, where g is the acceleration due to gravity (approximately 9.8 m/s^2).
Substituting the given values, we have:
F_gravity = 521 kg * 9.8 m/s^2
Now we can calculate the net force:
F_net = 6.58 x 10^3 N - (521 kg * 9.8 m/s^2)
Next, we can use Newton's second law to calculate the acceleration (a):
F_net = m * a
Substituting the values:
6.58 x 10^3 N - (521 kg * 9.8 m/s^2) = 521 kg * a
Now we can solve for acceleration:
a = (6.58 x 10^3 N - (521 kg * 9.8 m/s^2)) / 521 kg
Calculating this expression will give us the acceleration of the elevator.
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2. 2. A drawing that shows the outline of an object is called
The figure below shows a uniform metre rule of weight 3N supporting two weights. The metre rule is pivoted somewhere such that it is horizontally balanced. (Pivot not shown).The 6N weight is at 15cm mark while the 4N weight is at 70cm mark. 15cm 6N Determine the position of the pivot from zero cm mark. 70cm 100cm (3mks)
The pivot is located 0.1 meters to the left of the 0 cm mark.
How to determine pivot position?To determine the position of the pivot, ensure that the rule is horizontally balanced. This means that the sum of the clockwise moments must equal the sum of the anticlockwise moments.
Clockwise moments = 6N x 0.15m = 0.9Nm
Anticlockwise moments = 4N x 0.3m + 3N x d, where d is the distance of the pivot from the 0cm mark.
Since the metre rule is horizontally balanced:
0.9 = 1.2 + 3d
3d = -0.3
d = -0.1m
The position of the pivot is 0.1m to the left of the 0cm mark.
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