The figure shows a uniform, horizontal beam of length = 7 m and mass = 50 kg that ishanging by two cables as shown. If a person of mass = 60 kg stands at 3.6 m from the leftend, what are the tensions (T1 and T2) in the cables? Write only the answer to T2 incanvas (in newtons).T1T2
Answers
Given:
• Length of beam = 7 m
,• Mass of beam = 50 kg
,• Mass of person = 60 kg
,• Distance of the person from the left = 3.6 m
Let's find the tensions, T1 and T2.
First make a free body sketch:
Here, the net torque = 0.
To find the tension, T1, we have:
\(T_1*l-m_Pg*(l-l_1)-m_bg*\frac{l}{2}=0\)Where:
l = 7 m
mp = 60 kg
g is acceleration due to gravity = 9.8 m/s²
l1 = 3.6 m
mb = 50 kg
Thus, we have:
\(\begin{gathered} T_1*7-60*9.8*(7-3.6)-50*9.8*\frac{7}{2}=0 \\ \\ T_1*7-1999.2-1715=0 \\ \\ T_1=\frac{3714.2}{7} \\ \\ T_1=530.6\text{ N} \\ \end{gathered}\)Therefore, the tension T1 = 530.6 N.
To find the tension T2, we have:
\(\begin{gathered} T_2*7-60*9.8*3.6-50*9.8*3.5=0 \\ \\ T_2*7-2116.8-1715=0 \\ \\ T_2*7=2116.8+1715 \\ \\ T_2=\frac{2116.8+1715}{7} \\ T_2=547.4\text{ N} \\ \end{gathered}\)Thererfore the tension T2 = 547.5 N
• ANSWER:
T1 = 530.6 N
T2 = 547.4 N
Related Questions
A chemist performs an experiment in which she compresses an air sample and then measures its pressure. She records her results in the following table:Volume (cm)³100.050.025.0Pressure (kPa)33.3 66.7 133.2 If the chemist continues to compress the air to a volume of 12.5 cm³, what will itspressure most likely be?A. 266.4 kPaB. 366.4 kPaC. 212.2 kPaD. 12.5 kPa
Answers
Apply Boyle's law:
P1 V1 = P2 V2 =P3 V3 = P4 V4
(33.3)(100) = P4 ( 12.5 )
3330 = 12.5 P4
3330/12.5 = P4
P4 = 266.4 kPA
Answer:
A. 266.4 kPa
Can someone pls help, thank you in advance!
What is an example of a force applied at an angle to displacement
Answers
Answer:
an object sliding down hill
Explanation:
On a slope, the force applied is due to gravity. Its direction is straight down. If the object is sliding down the hill, its displacement is at an angle to the applied force. The angle of displacement will depend on the steepness of the hill.
What happened to the maximum height of consecutive swings
Answers
Answer:
we need more info
Explanation:
6. A ball rolls off a table and falls 0.75 m to the floor, landing with a speed of 4.0 m/s. 1. What is the acceleration of the ball just before it strikes the ground? 2. What was the initial speed of the ball? 3. What initial speed must the ball have if it is to land with a speed of 5.0 m/s?
Answers
1 ) Acceleration of the ball just before it strikes the ground = 10.67 m/s²
2 ) The initial speed of the ball = 1.15 m / s
3 ) The initial speed of the ball if the ball lands at 5.0 m/s = 3.2 m / s
v² = u² + 2 a s
v = Final velocity
u = Initial velocity
a = Acceleration
s = Displacement
1 ) In vertical motion,
v = 4 m / s
s = 0.75 m
u = 0
4² = 0 + ( 2 * a * 0.75 )
a = 16 / 1.5
a = 10.67 m / s²
2 ) The initial speed of the ball,
Resolving the velocity into its horizontal and vertical components,
\(V_{y}\)² = \(U_{y}\)² + 2 a s
\(V_{y}\)² = 0 + ( 2 * 9.8 * 0.75 )
\(V_{y}\) = 3.83 m / s²
V² = \(V_{x}\)² + \(V_{y}\)²
4² = \(V_{x}\)² + 3.83²
\(V_{x}\) = √ 16 - 14.67
\(V_{x}\) = 1.15 m / s
\(V_{x}\) = \(U_{x}\) = 1.15 m / s
3 ) If the ball lands with a speed of 5.0 m/s,
V² = \(V_{x}\)² + \(V_{y}\)²
5² = \(V_{x}\)² + 3.83²
\(V_{x}\) = √ 25 - 14.67
\(V_{x}\) = 3.2 m / s
\(V_{x}\) = \(U_{x}\) = 3.2 m / s
Therefore,
1 ) Acceleration of the ball just before it strikes the ground = 10.67 m/s²
2 ) The initial speed of the ball = 1.15 m / s
3 ) The initial speed of the ball if the ball lands at 5.0 m/s = 3.2 m / s
To know more about Horizontal projectile motion
https://brainly.com/question/13533552
#SPJ1
What is the pattern for how voltage gets distributed in a series circuit with unequal resistances?
Answers
Quantities are equal to the sum of the individual values for both the voltage and current in a serial circuit.
The obstruction to current flow in an electrical circuit is measured by resistance. The Greek letter omega () represents resistance, which is measured in ohms.
When two or more resistances are connected between two sites and each has a different current direction, the resistances are said to be connected in parallel. In such circuits, the branches cross at a common point, splitting the current and recombining it.
The voltage on the resistances will differ if they are linked in parallel, but both resistances will still produce the same amount of current.
To know more about Resistance follow
brainly.com/question/24858512
#SPJ4
Critically discuss why the environment in most communities continue to be dirty amidst the existence of local government structures
Answers
Explanation:
# Unmanaged population distribution
# lack of sanitation programs
# lack of awareness programs
# lack of implementation of policies and rules
# carelessness of people and government
# Unmanaged waste disposal
A magnetic field exerts a force on an electric charge if the charge is
a. positive
b. negative
c. moving
d. stationary
e. any of the above
Answers
A magnetic field exerts a force on an electric charge if the charge is: c. moving.
How to determine the magnitude and direction of the magnetic force?In Science and Physics, the magnitude of the magnetic field due to the current in a wire can be calculated or determined by using the following mathematical equation (formula);
\(B=\frac{\mu_0 I}{2 \pi d}\)
Where:
B represent the magnitude of the magnetic field.d represent the distance.\(\mu_0\) represent the magnetic permeability constant.Generally speaking, a magnetic field would exerts a force on an electric charge if and only if the charge is moving through a magnetic field and perpendicular to that magnetic field.
Read more on magnetic field here: https://brainly.com/question/30021737
#SPJ4
did voyager 2 pass closer to the northern or southern magnetic pole of uranus?
Answers
Voyager 2 passed closer to the southern magnetic pole of Uranus.
During its flyby of Uranus in 1986. This was determined by the measurements taken by the spacecraft's instruments, which detected the magnetic field of Uranus and allowed scientists to map its magnetic structure.
The spacecraft's trajectory and the data collected indicated that Voyager 2 passed nearer to the southern magnetic pole than the northern one. This encounter provided valuable insights into the magnetic field and overall magnetosphere of Uranus, contributing to our understanding of the planet's unique characteristics and the dynamics of its magnetic environment.
To know more about magnetic pole,
https://brainly.com/question/14609670#
#SPJ11
uh could i get a little help please im very confused
Answers
1) Frequency
2) I dont know this one sorry
An object on the end of a spring is oscillating in simple harmonic motion. If the amplitude of oscillation is doubled, how does this affect the object’s maximum speed?
Answers
Answer:
The maximum speed of the oscillating object doubles as well.
Explanation:
The oscillatory motion of the object on the spring can be modelled using this equation below:
\(Vmax= A\omega\)
Where
Vmax = the maximum speed of the oscillating object.
A = Amplitude of the oscillating object.
\(\omega\) = angular velocity of the oscillating object.
If the amplitude, A becomes doubled, the new amplitude will be = 2A.
As a result, \(Vmax = 2 A \omega\)
This shows that the maximum speed has doubled in its value
PLEASE HELP ME FAST!!
"Along with a flood of other people, they headed past the wreckage and up a nearby mountain for safety. There, they
waited the night. The next morning, news reached the group that the tsunamis were over, but everyone was asked to
evacuate while they had the chance."
When reading this paragraph aloud, where should the reader pause?
a. after "There"
b. after "flood"
c. the reader should not pause
d. the reader should pause after "There" and
Answers
Answer:
A
Explanation:
Answer:its a
Explanation:
30. You should allow more space in front of your vehicle when following large trucks because: A. You need the extra room to see around the truck B. Their heavier weight allows them to stop more quickly than you C. If you follow too closely, you will get caught in the wind draft caused by the truck
Answers
You should allow more space in front of your vehicle when following large trucks because: A. You need the extra room to see around the truck.
What is a traffic rule?A traffic rule is an accepted and enforceable law or guideline established by a road safety agency, so as to give warnings and instructions to road users such as the following:
PedestriansDriversIn accordance with national traffic rules and regulations, it is very important and essential for the drivers of small vehicles to allow more space in front of them when they are behind large trucks in order to give extra room to see around the truck.
In conclusion, it is very important for a driver to ensure that his or her blind spot is clear at all times.
Read more on traffic rules here: brainly.com/question/22768531
#SPJ4
If you see Polaris directly overhead at midnight, you must be at:_____.
Answers
If you see Polaris directly overhead at midnight, you must be at or very close to the North Pole.
Polaris is also known as the North Star, and it appears to be stationary in the sky while all the other stars appear to rotate around it. This is because Polaris is almost directly above the Earth's North Pole, making it a useful tool for navigation. So, if you find yourself staring up at Polaris at midnight, you can be sure that you are very close to the top of the world!
When standing at the North Pole, Polaris appears directly overhead in the sky. Since the position of Polaris does not change significantly throughout the night, observing it overhead at midnight implies that you are indeed at the North Pole.
Learn more about North Pole here:
https://brainly.com/question/30357034
#SPJ11
Which scenario does not describe an example of acceleration?
A car increases its speed while turning to the left.
A car decreases its speed while driving straight ahead.
A car maintains a constant speed while turning to the right.
A car maintains a constant speed while driving straight ahead.
Answers
Answer:
B is the right answer
Explanation:
It is decreasing.
A car maintains a constant speed while driving straight ahead.
What is acceleration?The acceleration of an object is the rate of change of velocity with time. It is measured in meter per second square.
Velocity of the carThe car undergoes velocity when there is change in direction of the speed.
Thus, the only option that does not describe acceleration is a car maintains a constant speed while driving straight ahead.
Learn more about acceleration here: https://brainly.com/question/14344386
Convert 5.5 kilometers into millimeters.
Answers
Answer:
5500000 millimeters
Explanation:
1 kilometre= 1000 meter
5.5 km=5.5 * 1000
=5500
Now,
1 metre = 1000 millimetres
5500 metre=1000*5500
=5500000 mm
How many ounces in a cup?
Answers
Answer:
8 oz
Explanation:
Hope this helps have a blessed day!
If the normal force of the bow on the string is 0. 75 N , how far can the string be pulled before it slips if the string is bowed at its center
Answers
If the normal force of the bow on the string is 0. 75 N ,The string be pulled before it slips if the string static friction is bowed at its center is 0.60mm.
The normal force exerted by the bow on the string is the force perpendicular to the surface of contact between them. In this case, the normal force is given as 0.75 N. The string can be pulled before it slips when the applied force reaches the maximum static friction force between the string and the bow.
The maximum static friction force is determined by the coefficient of static friction (μs) between the string and the bow, multiplied by the normal force. The coefficient of static friction represents the interaction between the two surfaces and their tendency to resist relative motion. The maximum normal force force can be calculated using the equation Fmax = μs * N, where Fmax is the maximum static friction force, μs is the coefficient of static friction, and N is the normal force.
Fmax=0.8×0.75
Fmax=0.60mm
The distance to which the string can be pulled before it slips depends on the relationship between the applied force and the maximum static friction force. Once the applied force exceeds the maximum static friction force, the string will start to slip. The specific distance at which this occurs would require additional information about the coefficient of static friction and the applied force.
Learn more about normal force here
https://brainly.com/question/30860792
#SPJ11
which is a harmful role of bacteria of bacteria?
Answers
Answer:
Harmful bacteria are called pathogenic
Explanation:
Harmful bacteria are called pathogenic bacteria because they cause disease and illnesses like strep throat, staph infections, cholera, tuberculosis, and food poisoning.
how many sig figs does 0.009 have?
Answers
When momentum is conserved it is called _____. (multiple choice)
A.) Conservation of Momentum
B.) The Law of Momentum
C.) The Physics of Momentum
D.) The Rules of Momentum
Answers
Answer:
Based off the word "conserved" I would say
A. Conservation of Momentum.
Explanation:
Answer:
A.) Conservation of Momentum
Abebe wants to lift a 10 N object from the ground. What is the minimum force he needs to exert (include both the magnitude and direction)
Answers
Answer:
Explanation: object has a mass, but force, newton is Unit of force.
If the value of g is taken as 10, the mass of the object here is only 1 kg. You will need a force of 10N to lift 1kg mass against the gravity ... I hope this answer will help u if there is any Question u can ask me I am in the same school
We have that for the Question "Abebe wants to lift a 10 N object from the ground. What is the minimum force he needs to exert (include both the magnitude and direction)" it can be said that the minimum force he needs to exert (include both the magnitude and direction) will be
W=10N upwards
From the question we are told
Abebe wants to lift a 10 N object from the ground. What is the minimum force he needs to exert (include both the magnitude and direction)
Generally the equation for the Force is mathematically given as
F=ma
Likewise
Weight
W=M*g
Therefore
the minimum force he needs to exert (include both the magnitude and direction) will be
F=W
W=10N upwards
For more information on this visit
https://brainly.com/question/23379286
a river 100 m wide flows due south at 1 m/s, a boat that goes 1 m/s relative to the water is pointed due east as it crosses from the west bank - the boat reaches the east bank
Answers
A river 100 m wide flows due south at 1 m/s, a boat that goes 1 m/s relative to the water .The resultant distance will be 141m.
Option A is correct.
The sum of an object's individual vector velocities is its final velocity. The scalar product of an object's mass and its acceleration vector is equal to the sum of its vector forces.
Elaborating:Considering that the boat travels in a river that flows 1 m/s due south at a speed of 1 m/s due east.
The positive x and y axes should be represented by the north and east, respectively.
After that, we can convert the boat's resulting velocity into a vector.
Vr = i - j ( 1 m/s on x axis and -1m/s on y axis)
The time required to travel 100m from west to east at a speed of 1m/s is;
Time t = distance/speed = 100m/1m/s = 100s
Distance = velocity × time = (i - j) × 100 = 100i - 100j
Distance = 100i - 100j (in vector form)
Magnitude of the Resultant distance can be given as:
dr = √(dx ²+ dy²)
dr = √(100² + 100²)
dr = √(20000)
dr = 141.42m
dr = 141m
What are relative and resultant velocity?The relative velocity refers to how one observer would perceive another moving object within their own frame. The velocity of an object when there are multiple influences on its motion in a fixed reference frame is known as the resultant velocity.
How is the boat's resulting velocity determined?At the point when an item, say, a boat, goes at a specific speed, and the medium through which it voyages, say, a stream, has its own speed, we can track down the resultant speed of the item by adding the two speeds. We find the boat's resulting velocity vector in this example.
Incomplete question:
A river 100 m wide flows 1 m/s due south. A boat that travels 1 m/s relative to the water is pointed due east as it crosses from the west bank. Relative to its starting point, the boat travels
A) 141 m.
B) 100 m.
C) 200 m.
D) more than 200 m.
E) nowhere
Learn more about resultant velocity:
brainly.com/question/29895970
#SPJ4
The populations P (in thousands) of a particular county from 1971 through 2014 can be modeled byP = 71.7e0.0345twhere t represents the year, with t = 1 corresponding to 1971.(a) Use the model to complete the table. (Round your answers to the nearest whole number.)YearPopulation1980101240 Correct: Your answer is correct.1990142949 Correct: Your answer is correct.2000201843 Correct: Your answer is correct.2010285000 Correct: Your answer is correct.(b) According to the model, when will the population of the county reach 350,000?2018 Incorrect: Your answer is incorrect.
Answers
ANSWERS
(a) Year - Population
• 1980 - 101,240
,• 1990 - 142,949
,• 2000 - 201,843
,• 2010 - 285,000
(b) 2016
EXPLANATION
(a) The population (in thousands) each year is given by,
\(P=71.7\cdot e^{0.0345t}\)If t = 1 represents year 1971, then for each year we have to find the difference between the year and 1970.
For year 1980,
\(P=71.7\cdot e^{0.0345(1980-1970)}\approx101.240\)The population is 101,240.
For year 1990,
\(P=71.7\cdot e^{0.0345(1990-1970)}\approx142.949\)The population is 142,949.
For year 2000,
\(P=71.7\cdot e^{0.0345(2000-1970)}\approx201.843\)The population is 201,843.
For year 2010,
\(P=71.7\cdot e^{0.0345(2010-1970)}\approx285.000\)The population is 285,000.
(b) In this problem we're given the population 350,000 and we have to find in what year the county will reach that population. In other words, we have to find t and then add that to 1970 to find the year.
Let's solve for t,
\(P=71.7\cdot e^{0.0345t}\)Divide both sides by 71.7,
\(\begin{gathered} \frac{P}{71.7}=\frac{71.7}{71.7}\cdot e^{0.0345t} \\ \frac{P}{71.7}=e^{0.0345t} \end{gathered}\)Apply natural logarithm to both sides,
\(\begin{gathered} \ln \frac{P}{71.7}=\ln e^{0.0345t} \\ \ln \frac{P}{71.7}=0.0345t \end{gathered}\)Divide both sides by 0.0345,
\(\begin{gathered} \frac{\ln \frac{P}{71.7}}{0.0345}=\frac{0.0345t}{0.0345} \\ \frac{\ln\frac{P}{71.7}}{0.0345}=t \end{gathered}\)And finally replace P and solve. Remember that P is in thousands of years, so we have to replace it by 350,
\(t=\frac{\ln \frac{350}{71.7}}{0.0345}=45.955\approx46\)This is 46 years after 1970,
\(1970+46=2016\)Let's see what's the population in 2016 to check the answer,
\(P=71.7\cdot e^{0.0345(2016-1970)}\approx350.546\)It is a bit more than 350,000. But let's see what's the population in 2015,
\(P=71.7\cdot e^{0.0345(2015-1970)}\approx338.658\)In 2015 population of the county won't reach 350,000. Thus, the county will have a population of 350,000 in 2016
Arthur throws a 0. 15-kg rubber ball onto the floor. The ball's speed just before impact is 8. 5 m/s, and just after is 6. 5 m/s. If down is considered the negative direction, the ball's change in momentum is ________ kg*m/s
Answers
The change in momentum of the ball of mass 0.15 kg is -0.3 kgm/s.
What is change in momentum?Change in momentum is the product of mass and change in velocity.
To calculate the change in momentum of the ball, we use the formula
Formula:
ΔM = m(v-u).............................. Equation 1Where:
ΔM = Change in momentum of the ballm = Mass of the ballu = Initial velocityv = Final velocityFrom the question,
m = 0.15 kgu = 8.5 m/sv = 6.5 m/sSubstitute these values into equation 1
ΔM = 0.15(6.5-8.5)ΔM = 0.15×(-2)ΔM = -0.3 kgm/sHence, The change in momentum is -0.3 kgm/s.
Learn more about change in momentum here: https://brainly.com/question/7538238
#SPJ1
Study the image below.
A straw in a glass of water. The straw appear to be broken and shifted at the top of the water.
The straw appears to "bend" because of
Answers
Answer:
Study the image below.
A straw in a glass of water. The straw appear to be broken and shifted at the top of the water.
The straw appears to "bend" because of
✔ refraction.
Explanation:
Study the image below.
A straw in a glass of water. The straw appear to be broken and shifted at the top of the water.
The straw appears to "bend" because of
✔Study the image below.
A straw in a glass of water. The straw appear to be broken and shifted at the top of the water.
The straw appears to "bend" because of
✔. refraction
.
What is the main difference between physical and chemical changes? ____ a. Chemical changes require a change in composition and physical does not b. Chemical changes do not require a change in composition but physical they do. c. Chemical changes are reversible d. None of the above
Answers
Answer:
a. Chemical changes require a change in composition and physical does not
Explanation:
The main difference between physical and chemical changes is that chemical changes require a change in composition and physical does not.
A chemical change is the change in composition of a substance which is irreversible and a permanent change.
On the other hand, physical change is a temporary change in a substance and can be easily reversible. The composition of a substance do not change in physical composition.
How much does it cost to operate a TV for a month if the TV uses 110 V in a 0.33 amp circuit and is operated for 6 hours a day. The cost per KWH is $0.08
Answers
Answer:
$0.52
Explanation:
Assuming 1 month = 30 days:
110 V × 0.33 A × 6 h × 30 = 6534 Wh
6.534 kWh × $0.08/kWh = $0.52
HELP THIS IS DUE IN 10 MINS
Find the definitions of the following terms.
A. Force of impact
B. Total Velocity
C. Horizontal Velocity
D. Vertical Velocity
100 points
Answers
you stole point from me, if you really didn't know the answer you shouldn't have wasted time.
Compute for the total mechanical energy of a 3.5 kg baseball dropped from a height of 3 meters moving at a speed of 10 m/s.
Answers
Answer:
277.9 J
Explanation:
We are given that
Mass,m=3.5 kg
Height=3 m
Speed,v=10 m/s
Kinetic energy of baseball=\(K.E=\frac{1}2}mv^2\)
\(K.E=\frac{1}{2}(3.5)(10)^2=175 J\)
Potential energy of baseball=P.E=mgh
g=\(9.8m/s^2\)
Substitute the values
Potential energy of baseball=\(3.5\times 9.8\times 3=102.9 J\)
Total mechanical energy=K.E+P.E
Total mechanical energy=175+102.9=277.9 J
6.if the power line frequency was 50 hz: a)at what speed would be the motor run?
Answers
If the power line frequency is 50 Hz, the speed at which a motor would run is 3000 revolutions per minute
Speed (in revolutions per minute) = (120 x Frequency) / Number of poles
In this case, the frequency is 50 Hz. However, the number of poles is not given in the question. The number of poles refers to the number of magnetic poles on the rotor of the motor. It can vary depending on the motor's design.
If the number of poles is given, you can substitute it into the formula to find the speed of the motor in revolutions per minute. For example, if the motor has two poles, the formula would be:
Speed = (120 x 50) / 2 = 3000 revolutions per minute
However, since the number of poles is not provided in the question, it is not possible to determine the exact speed of the motor. The speed would depend on the specific motor design and the number of poles it has.
To know more about frequency refer to:
https://brainly.com/question/254161
#SPJ11