The two factors upon which torque depends are the magnitude of force and the perpendicular distance from the point to the line of action of force.
It is also called as moment of force. The standard units of torque are N.m.
Mathematically, torque is written as, τ = r × F.
where, τ is torque, r is perpendicular distance, F is force.
Three factors affect how much torque a rigid body produces. the applied force, the vector of the lever arm that connects the torque measurement point to the application point of the force, and the angle formed by these vectors. τ = r F sinθ
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A person pulls a 2.6-kg crate 36 m along a horizontal floor by a constant force Fp= 87 N which acts at a 38° angle as shown in Fig. 6-3. The floor is rough and exerts a friction force FFR = 51 N
Determine the total work done by combining each force acting on the crate
The total work done on the crate can be determined by calculating the work done by each force separately and then adding them together.
1. Work done by the applied force Fp = (Fp * cos(theta)) * d
where Fp = 87 N, theta = 38 degrees and d = 36 m
cos(theta) = cos(38) = 0.81915
Work done by Fp = (87 N * 0.81915) * 36 m = 2789.5 J
2. Work done by the friction force FFR = -(FFR * d)
where FFR = 51 N and d = 36 m
Work done by FFR = -(51 N * 36 m) = -1836 J
3. Work done by gravity
Work done by gravity = forcedistancecos(theta)
force of gravity = mg
where m = 2.6 kg and g = 9.8 m/s^2
Work done by gravity = 2.69.836cos(90) = 0 J
4. The total work done is the sum of the work done by each force:
Total work done = work done by Fp + work done by FFR + work done by gravity
Total work done = 2789.5 J + (-1836 J) + 0 J = 953.5 J
The total work done on the crate is 953.5 J.
60N going vertically down
Calculate the magnitude and direction of the resultant force
The magnitude and direction of the resultant force is 25 N upwards.
What is the magnitude of the resultant force?
The magnitude of the resultant force is the sum of all the forces acting at a point.
To obtain the magnitude of the resultant force, we will sum all the forces acting on the object and considering the signs of the forces as well.
The sum of all the forces acting on the object is calculated as follows;
F ( net ) = F₁ + F₂
where;
F₁ is the force acting upwardsF₂ is the force acting downwardsF (net) = 85 N - 60 N
F (net) = 25 N upwards
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The complete question is below:
85 N force going vertically upwards and 60N going vertically down
Calculate the magnitude and direction of the resultant force.
What does velocity depend on?.
Velocity of an object depends on its displacement and its direction. Displacement is the minimum distance between the starting and the end point. Velocity is the rate of change in displacement.
Velocity can be calculated by displacement/ change in time. Relative velocity will be either equal or less than the relative speed, because speed is either greater than or equal to displacement. Also it is a vector quantity, so it also depends on the direction of the movement.
The magnitude depends on the magnitude of the displacement. The direction will be the direction of the resultant vector quantity. It is usually as the same as the direction of movement.
So velocity depends on the magnitude and direction of displacement.
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Why do we measure torque?.
Modern engines need to deliver improved mechanical performance, and torque measurement helps them do this by increasing their accuracy and speeding up its rotation speed for efficiency assessments, some examples are:
Optimize Fuel Efficiency (Marine Industry)Load ManagementHigh/Low Torque AlarmDiagnosticsPredictive MaintenanceAccuracy explanation: What is it?The degree to which a measured value resembles a reference or well-known value is referred to as accuracy. For instance, if you measure a substance's weight in the lab and come up with a reading of 3.2 kg when the true or actual weight was 10 kg, your reading is inaccurate. Your measurement in this instance is quite far from the value that is already known.
What level of measurement precision is there?The more traditional expression is "accuracy of measurement," which is defined as "... the degree to which the outcome of a measurement agrees with the true value" on an international scale.
How torque is useful?Depending on the engine speed, both engine power and torque are indicators. Effective and energy-saving driving is made possible by high torque. Fast acceleration and a high top speed are made possible by an engine with high power.
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The center of mass of a pitched baseball of radius 4.66 cm moves at 38.7 m/s. The ball spins about an axis through its center of mass with an angular speed of 62.9 rad/s. Treat the baseball as if it is a solid sphere rotating about its center (I = [tex]\frac{2}{5}[/tex]MR²).
Calculate the ratio of the rotational energy to the translational kinetic energy.
The ratio of rotational energy to the translational kinetic energy is 1:435.
What is the rotational energy of the ball?The rotational energy of the ball is calculated as follows;
E = ¹/₂Iω²
where;
I is the moment of inertia of the ballω is the angular speed of the ballI = ²/₅MR²
I = ²/₅ x (0.0466)²(M)
I = 8.69 x 10⁻⁴ M
E = ¹/₂Iω²
E = ¹/₂(8.69 x 10⁻⁴ M)(62.9)²
E = 1.72 M
The translational kinetic energy of the ball is calculated as follows;
E = ¹/₂Mv²
E = ¹/₂ (38.7)²M
E = 748.85 M
Ratio of rotational energy to the translational kinetic energy is calculated as;
R = ( 1.72 M ) / ( 748.85 )
R = 1 : 435
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What is ballistic stretching in your own words?.
By bouncing into (or out of) a stretched position while using the extended muscles as a spring to pull you out of the stretched position, you are stretching or "warming up."
For instance, repeatedly bouncing down to touch your toes. Stretching in this way is thought to be harmful and risky for injuries. In that it is movement-based, ballistic stretching is comparable to dynamic stretching. You strive to extend a bodily part's range of motion rather of extending it all the way to the limit.
Reaching over to touch your toes and bouncing to enhance range are two examples of ballistic stretching. Due to the risk of injury and lack of benefit compared to other, safer forms of stretching like PNF and dynamic stretches, this sort of stretching is rarely advised.
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pls help asap
Car 1 has a mass of 8.0 kg and is moving left at 3.75 m/s. Car 2 has a mass of 5.5 kg and is moving right at 2.00 m/s. They collide. Afterward, car 1 moves right at 1.00 m/s.
How fast is car 2 moving after the collision, and in what direction?
The speed of the car2 after the collision is 6 m/s . The direction is towards the right.
What is momentum?
We have to note that the momentum of the object would have to be the product of the mass and the velocity of the object. In the case of the cars that we have we have to recall that; Car 1 has a mass of 8.0 kg and is moving left at 3.75 m/s. Car 2 has a mass of 5.5 kg and is moving right at 2.00 m/s.
We already know that;
Momentum after collision = momentum before collision
(8 * 3.75) + (5.5 * 2) = (8 * 1) + (5.5 * v)
v = final speed of car 1
Then we have;
30 + 11 = 8 + 5.5v
v = 6 m/s
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Which drawing below shows the direction in which net energy is transferred as heat between an ice cube and the freezer walls when the temperature of both is −10°C? Explain your answer.
The image A shows the direction of the transfer of heat from the ice to the walls of the freezer.
What is heat transfer?As we approach the question that we here, the first law of thermodynamics would come to our minds, we know that energy can not be created nor destroyed but we can be able to convert the energy from one form to the other.
In this case, we know that the temperature of the walls of the refrigerator is about −10°C while the ice is at a temperature of about 0°C. This means that the ice would have a temperature that is higher and then the walls of the fridge.
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A liquid having mall depth but large volume is force by an applied pressure p above it escape with velocity v through a small hole below the velocity v is given by:v=cpxdy where c,x and y are dimensionless constants, determine x and y
Answer:
im not to sure about it
maybe check online
Is there mass in zero gravity?.
Yes, mass matters in zero gravity. Mass is the "amount of matter" that is constant regardless of the gravitational field in which the object exists.(even at 0g)
Mass is always the same, but weight can change depending on the amount of gravity acting on the object. Any two masses have a mutual attraction, and the greater the mass, the greater the attraction. Gravity holds everything together. If gravity suddenly becomes zero, all objects in the planet's gravitational field are lost in space. You will feel weightless. Whether measured on Earth or on the ISS, the mass does not change. Weight may change due to gravitational forces such as B. On the moon, the weight is reduced to one-sixth of what it is on Earth.
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PLEASE HELP RN
A cannon is fired horizontally at 251 m/s off of a 91 meter tall, sheer vertical cliff. How many
seconds
will have elapsed before the cannonball strikes the ground?
When the cannonball finally touches the ground, it will have been 1.94 seconds.
How much time will the cannonball take to land?We may disregard the answer t = -0.249 seconds since what we're interested in is what happens after the cannon is fired (i.e., when time t > 0). As a result, the cannonball reaches height h = 0 m and hits the earth at time t = 6.474 seconds.
Calculation:From the aforementioned query, the following information was discovered:Initial speed (u) equals 251 m/s.
Cliff height (h) equals 91 meters.
(s) is the horizontal distance.
The time it takes the gun to reach the earth will then be determined. This is attainable as follows:Cliff height (h) equals 91 meters.
Gravitational acceleration (g) equals 9.8 m/s2.
Time (t) =?
h = ½gt²
91 = ½ × 9.8 × t²
91 = 4.9 × t²
Divide both side by 4.9
t² = 91/4.9
Do both sides' square roots.
t = √(91/4.9)
t = 1.94 s
Finally, as indicated below, we will calculate the cannon ball's horizontal travel distance:Initial velocity (u) = 251 m/s
Time (t) = 1.94 s
Horizontal distance (s) =?
s = ut
s = 251 × 1.94 s
s = 486.94m.
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On the fahrenheit scale, water boils at ________ degrees.
On the fahrenheit scale, water boils at 212 degrees.
Boiling water is a process that occurs when water reaches its boiling point. Water begins to boil at 212 degrees Fahrenheit (100° C). The boiling point of water is a physical property of water that determines its temperature at which it turns from a liquid into a vapor and begins to escape as vapor through evaporation.Fahrenheit temperature scale, scale based on 32° for the freezing point of water and 212° for the boiling point of water, the interval between the two being divided into 180 equal parts.Conversion of temperature from celcius to fahrenheit is done by given formula:
F = (9/5 × C) + 32.
where, C = temperature in celcius
F = temperature in fahrenheit
We know that water boils at 100° C. Putting this value in above equation, we get F = 212.
Thus, 212 degrees Fahrenheit is the boiling point of water. At this temperature, water will begin to boil and turn into steam.
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Why a balloon expands as you blow into it.
A balloon expands as you blow into it because of the increase in pressure inside the balloon caused by the air you are blowing into it. When you blow air into a balloon, the air molecules inside the balloon are pushed closer together, increasing the pressure inside the balloon. As the pressure inside the balloon increases, the balloon stretches and expands to accommodate the extra air.
The balloon is made of a flexible material, such as rubber or latex, which allows it to stretch and expand as the pressure inside it increases. The balloon's material has elastic properties, which means that it returns to its original shape when the pressure is released.
The process of blowing air into a balloon can be compared to filling a tire with air. As you inflate a tire with a pump, the air molecules inside the tire are pushed closer together, increasing the pressure inside the tire. This causes the tire to expand and become larger, until it reaches the desired pressure.
In summary, a balloon expands as you blow into it because of the increase in pressure inside the balloon caused by the air you are blowing into it. The balloon's material has elastic properties, which allows it to stretch and expand as the pressure inside it increases.
how does the north equatorial and south equatorial currents get their names?
The place of a north equatorial current is taken by the Monsoon Current. There is, however, an South Equatorial Current.
What are north and South equatorial currents?The South Equatorial Currents are ocean currents in the Pacific, and Atlantic, loose westerly with the trades north of latitude 22° S, it divides to form the East Africa Coastal Current, operating northward, and a south-flowing stream. correctly, equatorial-current systems comprise two westward-flowing currents approximately 600 miles
The North Equatorial Current (NEC) is a westward wind-driven current mostly detected near the equator, but the location varies from dissimilar oceans. Trade winds drive both North and South Equatorial Currents westward, thus conveying warm ocean-surface waters in that direction.
So we can conclude that The South Equatorial Current is a broad, westward flowy current that extends from the surface.
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It takes a train going 50 mph approximately ____ to stop safely.
a. 100 feet
b. ½ mile (9 football fields)
c. 1 ½ miles (26 football fields)
d. 5 miles (88 football fields)
It takes a train going 50 mph approximately 1 ½ miles (26 football fields) to stop safely.
The total stopping distance is the distance traveled by the vehicle from the moment the driver detects danger and steps on the brake until the vehicle comes to a stop.
The easiest way to calculate total stopping distance is to use the 3 second rule. When safe and legal, a U-turn allows a driver to turn a vehicle in a lane, side street, alley, or driveway. A 3-point turn is a safer way to change direction than a 2-point turn.
Stopping distance is the distance from when your body decides to stop a moving vehicle to when it comes to a complete stop.
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What is the potential energy of an object that weighs 20 kg and is 8 m from the ground?.
Joules (1568) provide the potential energy.
Based on the force exerted on the two objects, the potential energy equation is determined. P.E. = mgh, where m is the mass in kilograms, g is the acceleration caused by gravity (9.8 m/s2 at the earth's surface), and h is the height in meters, is the formula for gravitational force.
As a result of an object's position in relation to a zero position, potential energy is, in essence, the energy that is contained in the object. An object has gravitational potential energy if it is positioned at a height above (or below) the zero height.
Here m=20 kg
height h=8m
g= 9.8
Potential energy (P.E) = mgh
Potential energy (P.E) = 20*8*9.8
Potential energy (P.E) = 1568 J
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PLEASE HELPPPP!!!! I NEED THIS DONE IN UNDER 3 DAYS!
Answer:
Question 7 is "Weight force down is greater than the air drag"
Question 8 is "600 N"
Explanation:
Question 7: When looking at the forces acting on the skydiver it's important to look at what force is larger, in this case, it's the weight. If two forces are acting in opposite directions, then the body will move in the direction of the force that has a larger value, 735 N.
Question 8: When the question tells you that the forces should be balanced, it means that they should turn out to equal zero if you were to subtract the forces, or you can think of it as trying to get the side that has a smaller number to be equal to the number that is greater. Since the question specifically says the parachute will ADD drag to the equation, you solve this one by asking yourself "What number + 135 will equal 735?" This ends up being 600 N.
Hope this helps!
How are torque the moment of inertia and Newton's second law for rotational motion related?.
Newton's second law for rotational motion tells us that angular acceleration is directly related to the net torque and inversely proportional to the moment of inertia.
Mathematically, it is given as, τ = I α
where, τ is torque, I is moment of inertia, α is angular acceleration
Moment of inertia is described as the resistance to the change in rotation. It is given by the formula, I = m r², where m is mass and r is radius
Torque is nothing but the force and lever arm that can cause an object's rotation. It is also called as moment of force. Its SI units are N.m.
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How do you calculate gravity in kg?.
How does a vibrating electric charge produce an electromagnetic wave?
Answer:
when an electrically charged particle vibrates. This causes a vibrating electric field, which in turn creates a vibrating magnetic field.
Explanation:
An electromagnetic wave begins when an electrically charged particle vibrates. This causes a vibrating electric field, which in turn creates a vibrating magnetic field. The two vibrating fields together form an electromagnetic wave.
Calculate the speed of the car at each checkpoint by dividing the distance between each checkpoint, in meters, by the change in time. Record your answers in table e of your student guide.
Speed is calculated as distance times speed. You need to be aware of the units for distance and time in order to calculate the units for speed. 1, 09, 1, 95, 2, 37, and 2, 80 m/s.
What is change in distance divided by change in time?Distance travelled divided by time equals rate of position change, often known as speed. By multiplying the distance travelled by the pace, you can find the time. For instance, Cole would have driven for 5 hours if he drove his automobile at a speed of 45 km/h and covered 225 km.The rate at which velocity changes is referred to as acceleration. As a vector, velocity has both a magnitude (a numerical value) and a direction.Acceleration is calculated by dividing the velocity change by the time required for the change to take place. The clock's speed, or how quickly a repeated cycle may be completed, is the only measure of the passage of time.To learn more about distance refer to:
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A particle moves 3. 0 m along a circle of radius 1. 5 m. Through what angle does it rotates?.
The rotation angle is 114.65° or 2.00 rad.
Circular motion is described as the motion of an object rotating along a circular orbit. Circular motion can be either uniform or uneven. In uniform circular motion, the angular velocity and speed of rotation are constant, but in nonuniform motion, the rotation speed is constantly changing.
The rotation angle is 114.65° or 2.00 rad. The arc length is given by the formula:
L=[tex]\frac{phi}{360} * 2pir[/tex]
set value
r=1.5m, L=3m
Phi, angle = 114.65°
So the angle to rotate is 114.65° or 2.00 radians.
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The amount of power required to move an object can be increased without changing the amount of work required. How can this happen?.
Answer : Yes it is possible to increase the power with out changing the amount of work.
What is power ?
-- The power is defined by the amount of power divided by the time.
-- This time is the one needed to do the work.
-- We can understand this issue by analyzing an example with numeric values.
Work = 500 [J]
Time = 5 [s]
Power will be:
Now if we change the time to 2 seconds:
As we can see, the power was increased without the need to change the work.
What is Joule ?
- A unit of work or energy in the International System of Units (SI); it is equal to the work done by a force of one newton acting through one metre.
-- Named in honour of the English physicist James Prescott Boule, it equals 107 ergs, or approximately 0.7377 foot-pounds
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Which of the following is NOT considered a moral value?
Ohonesty
O integrity
Orespect
Opriorities
Answer: Priorities
Explanation:
Having integrity means that you live in accordance to your deepest values, you're honest with everyone, Honesty is the quality of being truthful and transparent in all interactions, whether personal or professional. And Respect ties both honesty and integrity together making priorities not considered a moral value because a value is something outside influences can't change, while priorities can change.
A car changes its velocity from 45 km/h to 65 km/h in 3 s. Find the magnitude of its acceleration
Answer:Answer:
1.85m/s
Explanation:
initial velocity = 45km/h
final velocity = 65km/h
time = 3 minutes
we change that 45km/h is 12.5 m/s and 65km/h is 18.05 m/s
Formula:
acceleration = (final velocity - initial velocity)/time
Solution:
18.05-12.5=1.85m/s
2. Look again at the image. Let's now assume that it depicts a girl hugging her father before he
leaves for a tour of duty overseas. How could you use science to study the impact of her father's
departure on her family? (2 points)
Assume for the moment that it shows a young child embracing her mother before he departs for a tour of service abroad. How would you employ science to analyse her effects.
What subjects does science study?What in physics is an energy?
The definition of energy is ability to do work," which is the capacity to apply a force that causes an item to move. organismal biology the study of sentient creatures Social science is the study of people and society.
How does science benefit you as a learner?photo of How might science be used for research,Students who study science get the chance to learn more about how and how things work. Children can learn about the environment they live in through science.
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Answer: The science I would use to study the impact of the father’s departure from her family would be interpretive sociology.
Explanation: The reason I chose this science is because it focuses on the cause of people’s actions.
How do you solve force in Coulomb's law?.
What is the speed of a 0. 25 kg ball if its kinetic energy is 15 J?.
The speed of a 0.25 ball is 2√30 m/s. The result is obtained by using the formula for kinetic energy.
What is kinetic energy?Kinetic energy is the energy of an object due to its motion. So, if an object is moving, it has kinetic energy.
The energy is equal to half mass of an object multiplied by the square of its velocity. The statement can be expressed as
KE = ½ mv²
Where
KE = kinetic energy (J)m = mass of object (kg)v = velocity of object (m/s)We have a ball with
Mass, m = 0.25 kgKinetic energy, KE = 15 J.Find the speed of the ball!
Using the formula for kinetic energy, the speed of the ball is
KE = ½ mv²
15 = ½ (0.25)v²
15 = 0.125v²
v² = 15/0.125
v² = 120
v = √(4×30)
v = 2√30 m/s
Hence, the speed of the ball is 2√30 m/s.
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A car accelerate uniformly from ret and reache a peed of 28. 8 m/ in 5. 7. The diameter of a tire i 50. 6 cm. Find the number of revolution the tire make during thi motion, auming no lipping
The car accelerates uniformly, the tire will not slip and it will make 1.051 revolutions in the given time.
What is the motion?Motion is the act of changing position or direction. It is a phenomenon that can be observed in everyday life, such as the movement of a person walking, the waving of a hand, or the rotation of the Earth. Motion is also seen in the physical world, where objects move in different directions and speeds.
The number of revolutions the tire makes during this motion can be calculated by dividing the distance travelled by the circumference of the tire.
Distance Travelled = 28.8 m/s x 5.7 s = 165.76 m
Circumference of the tire = π x Diameter of the tire = 3.14 x 50.6 cm = 158.3 cm
Number of revolutions = Distance Travelled / Circumference of the tire = 165.76 m / 158.3 cm = 1.051 revolutions
Since the car accelerates uniformly, the tire will not slip and it will make 1.051 revolutions in the given time.
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How does a falling object's surface area affect calculations of terminal velocity? (
O The greater the object's surface area, the greater the air density.
O Surface area does not affect an object's terminal velocity.
O The greater the object's surface area, the greater its terminal velocity.
O The greater the object's surface area, the more air resistance it encounters.
Answer:
The greater the object's surface area, the more air resistance it encounters.
Explanation:
Terminal velocity is the point at which the force of air resistance is equal to the force of gravity acting on an object. An object with a greater surface area will encounter more air resistance and therefore have a lower terminal velocity.
The greater the object's surface area, the more air resistance it encounters. Hence, its velocity decreases with increasing surface area.
What is velocity ?Velocity is a physical quantity that measure the distance covered by an object per unit time. Velocity is the rate of speed and it is a vector quantity. Velocity of an object is affected by its mass, physical state, surface area, temperature etc.
As the mass increases, the velocity of a a falling object will be greater because, the gravitational force towards the massive object is greater and it falls rapidly.
As the surface area of the object increases, the air resistance that it encounters also increases. This air resistance acts as an opposition and decreases its velocity.
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