The car’s average acceleration is 3m/s².
What is the Car's average acceleration?
The average acceleration in the question measures the change in the velocity of the car by the time it used to cover the distance.
Average acceleration of the car is the change in the velocity of the car by the change in the time the car traveled.
ΔVelocity = 4.5m/s -( -3.0m/s)
= 7.5m/s
The initial velocity is negative 3.0m/s as the car started moving backwards.
The time is 2.5s
The
The average acceleration of the car = 7.5m/s ÷ 2.5s
= 3m/s²
In summary, the car coasting backward downhill at an initial speed of 3.0 m/s would have an average acceleration of 3m/s² After increasing the speed to 4.5 m/s at a time of 2.5s.
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blue - lead car
black- following car
If the lead car breaks before the other car, will it crash?
Explain the features of the graph.
How we read the two colors
What the areas tell us
What the slopes tell us
How the graph is answering that question.
your car has been making an odd noise consistently for about a week. one day while driving, the sound suddenly changes and becomes louder than it was before. the fact that you notice the change indicates that the volume of the sound has crossed your
Option c is the right solution. This shows that it has gone beyond the threshold when the difference is immediately noticeable.
The lowest kinetic energy that two moving particles must have when they collide is known as the threshold energy in particle physics. Always larger than or equal to the desired particle's rest energy is the threshold energy. As a result, this is changed to: f = W/h, where h is the Planck constant. So, we can calculate the threshold frequency if we know the work function. Photoelectric effect in radioactivity. The frequency at which the effect is only feasible is known as the photoelectric threshold frequency, denoted by the Greek letter nu with the subscript zero, v0. The threshold energy is the lowest energy that each colliding molecule must have in order for the collisions to be successful.
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an electric-powered snow-thrower machine throws snowballs 0.3 kg each at a speed of 7 m/s . the machine throws 2 snowballs per second. what is the average electric power consumption of such a machine? consider that its efficiency is 50 % .
The average electric power consumption of a machine is 29.4 watt.
What is Kinetic Energy?
Kinetic Energy is defined as the object which has because of its motion.
It is represented as
K = 1/2 mv²
where,
K = Kinetic Energy
m = mass
V = Velocity
Now by putting the value we get the kinetic energy as
K = 1/2 mv²
= 0.5 × 0.3 × (7)²
= 7.35 J
It is given in the question that the machine throws 2 snowballs per second.
Poutput = 2 × 7.35
= 14.7 J/s
= 14.7 watt
According to the question the efficiency is given as 50%. So average electric power is
Avg. Electric power = 2 × 14.7
= 29.4 watt
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the idling engines of a landing turbojet produce forward thrust when operating in a normal manner, but they can produce reverse thrust if the jet is properly deflected. suppose that while the aircraft rolls down the runway at 150 km/h the idling engine consumes air at 50 kg/s and produces an exhaust velocity of 150 m/s.
Forward thrust has positive values and reverse thrust has negative values.
Thrust is a sudden push or pull in a certain direction.
a)
Flight speed u = 150 km/h
1 km/h = [tex]\frac{1}{3.6}[/tex] km/s
therefore, 150 km/h = 41.67 km / s
The thrust force represents the horizontal or x-component of momentum equation:
[tex]T = m_{exhaust} * U_{exhaust} - U_{flight}[/tex]
T = 50 * (150 - 41.67)
T = 5416.67 N
Therefore, the value of forward thrust is 5416.67 N.
b)
Now the exhaust velocity is now vertical due to reverse thrust application, then it has a zero horizontal component,
thus thrust equation is:
[tex]T = m_{exhaust} * U_{exhaust} - U_{flight}[/tex]
T = 50 * (0 - 41.67)
T = -2083.5 N
Therefore, the thrust force T is -2083.5 N in the reverse direction.
c)
Now the exhaust velocity and flight velocity is zero, then it has a zero horizontal component, thus thrust is also zero because[tex]U_{exhaust} = U_{flight} = 0\\[/tex]
T = 0
Therefore, there is no difference in two velocities in x direction.
The given question is incomplete, the complete question is,
"The idling engines of a landing turbojet produce forward thrust when operating in a normal manner, but they can produce reverse thrust if the jet is properly deflected. Suppose that while the aircraft rolls down the runway at 150 km/h the idling engine consumes air at 50 kg/s and produces an exhaust velocity of 150 m/s.
a. What is the forward thrust of this engine?
b. What are the magnitude and direction (i.e., forward or reverse) if the exhaust is deflected 90 degree without affecting the mass flow?
c. What are the magnitude and direction of the thrust (forward or reverse) after the plane has come to a stop, with 90 degree exhaust deflection and an airflow of 40 kg/s?"
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What is the right option for this question?
(Question is attached below)
65 POINTS PLEASE HELP NEED ASAP
A truck is pulling an 85-kg rock attached by a rope. The coefficient of friction between the rock and the ground is 0.32. The truck applies 295 N of force to the rock. Determine the net force and the acceleration.
Answer:
23.6
Explanation:
The net force applied on the truck is 267.8 N.
The acceleration of the truck is 3.15 m/s².
What is force?The definition of force in physics is: The push or pull on a massed object changes its velocity.
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.
A spring balance can be used to calculate the Force. The Newton is the SI unit of force.
Given parameters:
Force applied on the truck: F = 295 N.
Mass of the trick: m = 85 kg.
Weight of the truck: W = mg = 85 kg × 10 m/s² = 850 N.
The coefficient of friction between the rock and the ground is μ = 0.32.
Frictional resistance force applied on the truck: f = μ N = μW
= 0.32×85 N
= 27.2 N.
Hence, net force applied on the truck = F - f = 295 N - 27.2 N = 267.8 N.
Hence, acceleration of the truck is = 267.8 N/85 kg = 3.15 m/s².
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as additional resistors are connected in parallel to a constant voltage source, how is the power supplied by the source affected? as additional resistors are connected in parallel to a constant voltage source, how is the power supplied by the source affected? the effect on the power supplied by the source cannot be determined without knowing the voltage of the source. the power supplied by the source increases. the power supplied by the source decreases. the power supplied by the sources remains constant.
The equivalent resistance of a circuit reduces as more parallel resistors are added, but the circuit's overall current increases. Additional branches via which charge can flow are comparable to more resistors being added in parallel.
A circuit can have parallel or series connections connecting two or more electrical components. The circuit is referred to as a parallel circuit when all of the devices are linked utilizing parallel connections. Each device is located in a distinct branch of a parallel circuit. Branch lines indicate that there are numerous paths for charge to move via the external circuit.
A single resistor located in a single branch will be contacted by each charge moving through the external circuit's loop. A charge choose which branch it will take on its way back to the low potential terminal when it reaches the branching site or node.
It was made clear that increasing the number of resistors in a parallel circuit has the very surprising effect of reducing the total resistance. The addition of a second resistor in a different branch creates a second avenue for charge to travel through the circuit's primary area of resistance because there are numerous ways for it to do so.
By increasing the number of branches, the resistance will reduce, which will increase the pace at which charge flows (also known as the current).
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COLOR BY NUMBER
NET FORCE
Date:
Per:
ī
Directions: Answer each question by circling the correct choice. After you have completed all of the
questions, color the picture using the assigned colors.
Question
Choice A
1. The sum of all forces acting on an
object is known as...
2. Which of the following is a
characteristic of a balanced force?
3. Which of the following is a
characteristic of an unbalanced force?
4. Which of the following represents
balanced forces?
5. Which of the following represents
unbalanced forces?
6.
7.
8.
9.
10.
10N
14
7N
7N
[orange]
Directions: Calculate the net force in the questions below.
120N
16N
3N 7
4N
4N
5N
14N
5N
50N
7N
applied force
[purple]
equal in size,
opposite in direction
[red]
equal in size,
opposite in direction
[sky blue]
7N
7N
12N to the left
[orange]
A) ON [red]
B) 7N, right
[purple]
7N
125N to the right
[green]
C) 28N, right
[green]
C) 2N, left
[blue]
[purple]
A) 2N, right
[red]
3N₁
7N to the left
[red-orange]
B) 12N, right
[purple]
Name:
Choice B
net force
[black]
causes a change
in the direction
of an object
[sky blue]
does not cause a
change in the motion
of an object
[green]
11N
[sky blue]
5N
[purple]
11N
SN
11N to the left
[yellow]
125N to the left
[sky blue]
21N to the right
[orange]
A) 45N, right [brown]
B) 35N, right [orange]
C) 40N, right [yellow]
B) Dog B [yellow]
C) Dog C[green]
Choice C
normal force
[green]
causes a change
in the motion of
an object
[orangel
causes a change
in the motion of
an object
[purple]
8N
4N
[orange]
2N 2N
[yellow]
21N to the left
[blue]
170N to the right
[pink]
11. Two students kick a soccer ball at the same time.
Student A kicks the ball with a force of 80N to the
right. Student B kicks the ball with a force of 45N to
the left. Calculate the net force.
1N to the left
[yellow-green
12. Three dogs are pulling on a stuffed animal. Dog
A pulls with a force of 150N to the north. Dog B pulls
with a force of 150N to the south. Dog C (a much
smaller dog) is pulling to the east with a force of
40N. Which dog will win the toy?
A) Dog A [red-orange]
Morpho Science
The net force exists 0 when the forces are in equilibrium. They have the same impact as if there were no forces at all.
What is meant by Net Force?Net Force, which is essentially the total of all the forces operating on an item, is the combination or consequence of those forces.
The total of all forces exerted on an object is known as the net force. A mass can accelerate due to net force. A body is subject to another force whether it is at rest or in motion. When there exists a lot of forces acting on a system, the term "net force" exists employed.
Equal in size and directed in the opposite direction, balanced forces are. When forces are evenly distributed, motion remains unchanged. One of your scenarios from the previous section involved pushing or pulling an object with the equal amount of force in opposite directions.
The complete question is:
Directions: Answer each question by circling the correct choice. After you have completed all of the questions, color the picture using the assigned colors.
Question
Choice A
1. The sum of all forces acting on an object is known as...
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a student sets up an experiment to determine the inertial mass of a cart. the student has access to the following measurement equipment: a spring scale, a meterstick, and a stopwatch. the student uses the spring scale to pull the cart starting from rest along a horizontal surface such that the reading on the spring scale is always constant. all frictional forces are negligible. in addition to the spring-scale reading, which two of the following quantities could the student measure with the available equipment and then use to determine the inertial mass of the cart? select two answers.
The youngster may calculate the total distance the cart has travelled using the metre rule by exerting a constant force.
He can calculate how long it took the cart to travel that distance using the stopwatch.
The equation of constant acceleration motion can be used to determine the acceleration of the cart during that motion if the distance travelled by the cart and the time it takes to travel that distance is known.
S = ut + 1/2at²
S = mileage travelled
a = the cart's acceleration, and
t represents the amount of time spent.
The formula for this law is F=ma, where F is the applied force, m is the object's inertial mass, and an is the object's acceleration.
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a 44kg box is sitting on a flat surface. the box is being pulled along at constant velocity. if the coefficient of static friction is 0.44 and the coefficient of kinetic friction is 0.27, what is the force of friction on the block?
Force of friction if the coefficient of static friction is 0.44 is 189.728N. The force of friction if the coefficient of kinetic friction is 0.27 is 116.424N.
Force of friction:
The force that resists the sliding or rolling of one solid object over another is called the force of friction.
The formula for the force of friction is:
F =μN
F = force of friction
μ= coefficient of friction
N = normal force
We have to find the force of friction when the coefficient of static friction is 0.44.
[tex]F_{s}[/tex] = μ N
= μmg
= 0.44× 44×9.8
= 189.728N
Now we have to find the force of friction when the coefficient of kinetic friction is 0.27
[tex]F_{k}[/tex] = μN
= μmg
= 0.27 × 44 × 9.8
= 116.424N
Therefore the force of friction [tex]F_{s}[/tex] is 189.728N and [tex]F_{k}[/tex] is 116.424N
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in what direction are the vibrations in a transverse wave relative to the direction of wave travel? what about in a longitudinal wave?
A transverse wave is a wave in which particles of the medium move in a direction perpendicular to the direction that the wave moves. and in a longitudinal wave particles are displaced parallel to the wave direction.
In a transverse wave, the displacement of the individual medium particles occurs in a direction that is perpendicular to the wave's direction of propagation. Imagine holding a slinky and moving your hand up and down, and the slinky follows. However, the actual wave itself travels from left to right.
Transverse waves are created when a medium's particle oscillations are perpendicular to the wave's direction of propagation. An ocean wave is a typical illustration of a transverse wave. The direction of the water molecules' motion in an ocean wave is vertical.
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A ship sails due North at a speed of 20 m/s. A current in the water begins to move from East to
West. The speed of this current is 20 m/s.
What is the magnitude of the resultant velocity of the ship?
A- 28m/s
B- 40m/s
C- 0m/s
D- 20m/s
Answer:
Explanation:
Given:
V₁ = 20 m/s
V₂ = 20 m/s
____________
V - ?
V = √ (V₁² + V₂²) = √ ( 20² + 20²) = 20·√2 ≈ 28 m/s
The magnitude of the resultant velocity of the ship is 40m/s. The correct option is B.
What is velocity?The rate of change of displacement is known as velocity. The rate at which velocity changes is called acceleration.
Due to the fact that it includes both magnitude and direction, velocity is a vector quantity. As the rate at which velocity changes, acceleration is likewise a vector quantity.
The directional speed of an item in motion, as measured by a specific unit of time and observed from a certain point of reference, is what is referred to as velocity.
Here, it is given that,
Initial velocity = 20m/s
Final velocity = -20m/s, as current in the water begins to move from East to West.
We know that,
ΔV = Initial velocity - Final velocity
ΔV = 20 - (-20)
ΔV = 20+20
ΔV = 40m/s
Thus, the correct option is B.
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What do you guys think is the singularity?
A singularity is a point where some property is infinite.
What is meant by singularity?In technology, singularity describes a hypothetical future where technology growth is out of control and irreversible. Most especially, the singularity would require computer programs to become so advanced that artificial intelligence transcends human intelligence, potentially rubbing out the boundary between humanity and computers. Nanotechnology is recognized as one of the key technologies that will make singularity a truth. The technological singularity or simply the singularity is a hypothetical future point in time at which technological growth becomes uncontrollable and irreversible, resulting in unforeseeable changes to human civilization.
So we can conclude that a point where something is infinite is known as a singularity.
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As you drive, a passenger in your car records your speed at 10-second intervals. The passenger records the following data: {(0 s, 18 m/s), (10.0 s, 18 m/s), (20.0 s, 18 m/s),
(30.0 s, 18 m/s), (40.0 s, 18 m/s)}. Using a graph of the velocity as a function of time, determine your displacement between t = 10.0 s and t = 35.0 s.
The velocity as a function of time is 0, and displacement between t = 10.0 s and t = 35.0 s is 0.
How to find velocity and displacement?The vector quantity velocity (v), denoted by the equation v = s/t, quantifies displacement (or change in position, s), over change in time (t).
as S= 0, then
[tex]V_{total}[/tex] = [tex]\frac{ Final Speed - initial speed}{total_time }[/tex]
V=0.
Displacement is defined as the final position minus the starting position.
Displacement = Final distance- initial distance
S= 0
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A block rests on top of a
table. Consider only the
forces acting upon the
block.
Gravity: P or A?
Spring: P or A?
Tension: P or A?
Friction: P or A?
Air Res: P or A?
Normal: P or A?
In case of a block resting on the top of a table and we are considering only the forces acting upon the block.
(block)
_______[[[[[[[[[]]]]]]]]]]_______ ( table)
/ \
/ \
/ \
figure represents block resting on a table,
Gravity P
Spring: A
Tension A
Normal: P
Friction A
Air Res.: A
All objects are affected by gravity, which is an attraction between the Earth and the object.There is no spring force since no springs are in contact with the item.There are no tight-knotted strings (or ropes, or...) attached to the thing so no tension.A solid surface is immediately supporting the block (the table).There is no friction since the object is not moving or attempting to move over a surface.There is no air if an object is not moving in relation to the air around it.To learn more about forces on a block at rest , visit
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while taking off from an aircraft carrier, a jet starting from rest accelerates uniformly to a final speed of 40. meters per second on a runway that is 70. meters long. what is the magnitude of the acceleration of the jet?
11.4m/s^2 is the magnitude of the acceleration of the jet while taking off from an aircraft carrier, a jet starting from rest accelerates uniformly to a final speed of 40. meters per second.
[tex]v^2-u^2=2as[/tex] in this
v = final velocity
u =initial velocity
a = acceleration
s =displacement
the data, we have got
u = 0 (it starts from rest)
v = 40 m/s (final velocity)
s = 70 m ( run-way length)
now, put in the equation
[tex]a=v-u/t=(40^2-0)/2(70)=11.4m/s^2[/tex]
When a point or object accelerates or decelerates, it is moving straight forward. Motion on a circle increases despite the same speed because the direction is always changing. All other movements accelerate as a result of these factors.
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please help!! ill give brainlist its for my finals!
Give a real-world example of an energy transformation that uses two of the following forms of energy: chemical, mechanical, nuclear, gravitational, radiant, electrical, thermal (heat), and/or sound.
Answer:
candle for chemical energy.
Loudspeakers are the best example of electrical energy to sound energy conversion
Explanation:
(a) is it possible for the magnetic force on a charge moving in a magnetic field to be zero? (b) is it possible for the electric force on a charge moving in an electric field to be zero? (c) is it possible for the resultant of the electric and magnetic forces on a charge moving simultaneously through both fields to be zero?
a)It is possible for the magnetic force on a charge moving in a magnetic field to be zero. The force acting on the charge is zero when a charge is moving in the same or opposite direction of the magnetic field. When a is charge moving parallel in the same direction of the magnetic field, then the magnetic force is zero.
b)It is not possible for the electric force on a charge moving in an electric field to be zero. If there's a charged particle in a magnetic field, it's impossible for this force to become zero.
c)It is not possible for the resultant of the electric and magnetic forces on a charge moving simultaneously through both fields to be zero. The magnetic force can be zero but the electric force cannot be zero because it is not affected by the motion of the particles.
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the altitude of a satellite in an elliptical orbit around the earth is 2000 km at apogee and 500 km at perigee. determine a) the eccentricity of the orbit; b) the orbital speeds at perigee and apogee(km/s); and c) the period of the orbit(minutes).
a) The eccentricity of the orbit is 1.086. b) The orbital speeds at perigee and apogee is 5088 km/s. c) The period of the orbit is 8.516 minutes.
As a property, velocity is used to describe the characteristics of moving objects. It is the amount of movement of an object over a reasonably long period of time.
The satellite orbits the planet in an elliptical pattern. The semi-major axis and eccentricity of an elliptical orbit can be used to identify it.
The apogee distance (the distance between the satellite and the center of the Earth) and the perigee distance (the distance between the satellite and the edge of the planet) are, respectively, R a =R E +d a =6.3710 6 m+36010 3 m=6.7310 6 m.
R p = R E + d p =6.37 10 6 m + 180 10 3 m =6.55 10 6 m
R a =a(1+e) and R p =a(1e) are the relationships between the apogee and perigee distances and eccentricity e, respectively.
E is so little that the orbit is almost round.
The orbit would be a long, thin ellipse, on the other hand, if e is close to unity.
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what is the average speed of a car that moves 450 m in 25 s
Answer:
18m/s
Explanation:
Divide 450 into 25 to know how many m per second and it gives 18m per second
What is the kinetic energy and the potential energy in joules of an 8500 kg airplane is flying at 220 km/h?
Answer:
Kinetic Energy is 1.59x10^7 Newtons
Potential Energy cannot be determined since no height is given. An example calculation is provided that assumes 3000 meters.
Explanation:
Kinetic energy is directly proportional to the mass of the object and to the square of its velocity:
K.E. = 1/2 m v2.
If the mass is in kilograms and the velocity in meters per second, the kinetic energy has units of kilograms-meters per second squared, which is 1 Newton. (A newton is defined as 1 kg⋅m/s2. 1 Joule is defined as 1 N*m, or 1 kg⋅m2/s2
Data: 8500 kg airplane
220 km/h flight speed
We'll convert the speed from km/h to m/sec.
(220 km/h)*(1 h/3600 sec)*(1000m/1km) = 61.1 m/s
Kinetic Energy:
K.E. = 1/2 m v2
K.E. = 1/2 (8500 kg)*(61.1 m/s)^2
K.E. = 1/2 (8500 kg)*(3733 m^2/s^2)
K.E. = 1.59x10^7 kg*m^2/s^2
K.E. = 1.59x10^7 Newtons
Potential Energy
The formula for potential energy depends on the force acting on the two objects. For the gravitational force the formula is P.E. = mgh, where m is the mass in kilograms, g is the acceleration due to gravity (9.8 m / s2 at the surface of the earth) and h is the height in meters.
P.E. = mgh
P.E. = (8500kg)*(9.8 m/s^2)*(h)
I don't see a height given for the plane, so we can't calculate a potential energy. If it were at 3000 meters (1.86 miles), the calculation would be:
P.E. = (8500kg)*(9.8 m/s^2)*(3000 m)
P.E. = (2.5x10^8 kg*m/s^2) or 2.5x10^8 Newtons
A sample starts with 1.0x10^16 nuclei of 3,1^H which has a half life of 12 years. Whats the half life after 12 years?
Answer:
See below
Explanation:
The half life is 12 year, so after 12 years HALF Of the sample will be gone and half will be left
1/2 * 1 x 10^16 = .5 x 10^16 = 5 x 10^15 nuclei
Use the simulation to complete the activity.
Force and Motion Basics (select Acceleration)
In one or two sentences, make a hypothesis about whether or not it is easier to start the box moving than to keep it moving on a rough surface. Then, explain how the simulation can be used to prove the hypothesis.
It is more difficult to get the object to move or keep moving on a rough surface.
What is friction?The term friction has to do with the opposition to the motion of an object. We know that friction could lead to a reduction in the speed of the object. If the surface is so rough, the motion an object would be difficult due to a greater resistive force that keeps the object from moving.
We can then see that it would be more difficult for the object to begin to move on the rough surface rather, motion could easily start and be sustained on quite a smooth surface as we can see.
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On a rough surface, it is more challenging to move or maintain the motion of the object due to friction between the object and the surface due to contact.
What is force?An object experiences a push or pull as a result of interacting with another object. Each object is subject to a force whenever two objects interact.
According to newton's law, an object tries to maintain its position whether it is at resting or it is in motion. If the body is at rest then it tries to maintain its rest position and if the body is in motion then again it tries to maintain its motion. So, if the box is at rest, it is difficult to move the box in starting because of inertia, but once it is in motion it is easy to keep on going with the flow.
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after struggling to solve a physics problem, you take a break for lunch. when you go back to work on the problem, the solution suddenly pops into your head. in this case you used to solve the problem.
You used insight in this situation to find a solution to which you struggling to solve.
On the three aspects of process, task, and phenomenology, there are various definitions of insight (Llinger and Knoblich, 2009). Process is concerned with the cognitive processes that result in clever answers. An analytical process emphasises a deliberate and systematic evaluation of the problem, emphasising logical deduction and strategic thinking, as opposed to descriptions of insightful problem solving processes that emphasise a sudden certainty of a correct response with little to no conscious access to the processing of the solution. It is widely recognised that it is difficult to measure a subjective experience like insight objectively (Llinger and Knoblich, 2009; Ash et al., 2009). In the past, researchers have made use of "classic insight problems," vague issues that Gestalt psychologists first utilised to induce feelings of insight upon realising the solution.
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Part A
Which yoga poses did you perform best? Which poses do you still need to improve on?
Answer:
Knees to Chest
Be consistent. Setting and committing to a regular practice of yoga is absolutely essential if you want to make improvements. ..
Answer: Dog pose was really easy, but tree pose was really difficult because it was hard to balance.
A 0.10kg mass is oscillating at a small angle from a light string with a period of 0.63s. What is the length of the pendulum?
Answer: 00.99m
Explanation:
because
Answer: 0.099
Explanation: Khan
two tugboats pull a disabled supertanker. each tug exerts a constant force of 2.20×106 n , one at an angle 19.0 ∘ west of north, and the other at an angle 19.0 ∘ east of north, as they pull the tanker a distance 0.890 km toward the north.
The amount of work the two tugboats completed on the supertanker W = 3.12 × 10^9 joules .
Work is a physics term used to describe the energy transfer that takes place when an object is moved over a distance by an external force, at least some . The component of the force acting along the path multiplied by the length of the path can be used to calculate work if the force is constant. Mathematically, this idea is expressed as W = fd, where W is the work and f is the force multiplied by d, the distance. Work is completed when the force is applied at an angle of with respect to the displacement. Performing work on a body involves moving it in its entirety from one location to another as well as other methods. However, the work is thought to be negative if the applied force is in opposition to the item's motion, indicating that energy is being pulled away from the object
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you have a motor with a shaft diameter of 25 mm from which you have hung a weight of 1.1 kg on a thin wire. (assume that the mass of the wire mass is very small compared to that of the weight.) what is the torque on the motor’s shaft?
The torque on the motor's shaft is 1.375 Nm.
We need to know about torque to solve this problem. Torque is the rotational equivalent of linear force. It can be determined as
τ = F x r
where τ is torque, F is perpendicular force and r is radius.
From the question above, the parameter given are
m = 1.1 kg
d = 25 cm
r = 12.5 cm
Convert radius to meter
r = 12.5 cm
r = 12.5 x 10¯² m = 0.125 m
Find the weight
W = m . g
W = 1.1 . 10
W = 11 N
By substituting the parameters, we get
τ = F x r
τ = 11 x 0.125
τ = 1.375 Nm
Hence, the moment applied is 1.375 Nm
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an unwary football player collides with a padded goalpost while running at a velocity of 5.10 m/s and comes to a full stop after compressing the padding and his body 0.600 m. (a) what is his acceleration (in m/s2)? (assume the initial direction of motion is the positive direction. indicate the direction with the sign of your answer.)
The acceleration of an unwary football player during uniform motion is 21.675 m/s² with a positive direction.
We need to know about the uniform motion to solve this problem. The uniform motion is an object's motion under acceleration. It should follow the rule
vt = vo + a . t
vt² = vo² + 2a . s
s = vo . t + 1/2 . a . t²
where vt is final velocity, vo is initial velocity, a is acceleration, t is time and s is displacement.
From the question above, we know that
vo = 5.1 m/s
s = 0.6 m
vt = 0 m/s
By substituting the given parameters, we can calculate the acceleration
vt² = vo² + 2a . s
0² = 5.1² + 2a . 0.6
1.2a = - 26.01
a = 21.675 m/s²
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Consider the 636 N weight held by two cables shown below. The left-hand cable had tension T and makes an angle of θ with the wall. The right-hand cable had tension 890 N and makes an angle of 26◦ with the ceiling.
What is the angle θ which the left-hand cable makes with respect to the wall?
The angle θ which the left-hand cable makes with respect to the wall is 17⁰.
What is resultant force on the cables?The resultant force on the cables is determined by resolving the forces into x and y components as shown below.
y-component of the weight;
Wy = -636 N
y-component of the tension in the right cable;
Ty = 890 x sin(26)
Ty = 390.15 N
x-component of the tension in the right cable;
Tx = 890 x cos(26)
Tx = 799.93 N
y-component of the tension in the left cable;
Ty = T sinθ
x-component of the tension in the left cable;
Tx = -T cosθ
Sum of the forces in y-direction;
∑F_y = 0
T sinθ - 636 + 390.15 = 0
T sinθ - 245.85 = 0
T sinθ = 245.85 -------- (1)
Sum of the forces in x-direction;
∑Fx = 0
-T cosθ + 799.93 = 0
T cosθ = 799.93 -------- (2)
Divide equation (1) by (2)
T sinθ / T cosθ = 245.85/799.93
tanθ = 0.307
θ = arc tan(0.307)
θ = 17.1⁰ ≈ 17⁰
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