Matt has a portable basketball goal in his driveway. He has the basket set 8 ft (2.4 m) high so he can practice dunking the ball. He slams the ball through the hoop and then hangs onto the rim. This exerts a downward force of 600 N on the front of the rim. The front of the rim is 1.1 m in front of the front edge of the portable basketball goal%u2019s base. The mass of the whole portable basketball goal is 70 kg. The center of gravity of the portable basketball goal is 1.0 m behind the front edge of its base.
a. How much torque is produced around the front of the goal base by the 600 N force Matt exerts on the front of the rim?
b. How much torque would be needed to tip the goal?
c. What is the largest vertical force that can be exerted on the front edge of the rim before the portable basketball goal begins to tip?

Answers

Answer 1

Answer:

a)   τ₁ = 660 N m,  b)  τ’= 686 N m,  c)    F = 623.6 N

Explanation:

a) For this exercise let's use the concepts of torque and rotational balance.

For this we set a reference system at the base and assuming that the counterclockwise rotations are positive

         

where the force F = 600 N, the distance to the axis is x = 1.1 m, the mass of the system m = 70g and the weight is placed at the point of the center of  gravity x_{cm} = -1.0 m

       

The torque at the front is

          τ₁ = F x

          τ₁ = 600 1.1

          τ₁ = 660 N m

b) let's write the rotational equilibrium condition

           ∑ τ = 0

           τ'- W x_{cm} = 0

           τ ’= mg x_{cm}

            τ’= 70 9.8 1.0

            τ’= 686 N m

       

c) the greatest force Matt can apply

           τ’= F x

           F = τ’/ x

           F = 686 / 1.1

           F = 623.6 N


Related Questions

what are the conditions for a body to be at equilibrium

Answers

Conditions for equilibrium require that the sum of all external forces acting on the body is zero (first condition of equilibrium), and the sum of all external torques from external forces is zero (second condition of equilibrium). These two conditions must be simultaneously satisfied in equilibrium.

Answer:

Explanation:

Conditions for equilibrium require that the sum of all external forces acting on the body is zero (first condition of equilibrium), and the sum of all external torques from external forces is zero (second condition of equilibrium). These two conditions must be simultaneously satisfied in equilibrium

Human resource professionals are reviewing the needs of a company that is
building a new factory. The company needs people who can weld electronic
elements together, test them, and package them securely. The HR
professionals conclude that four kinds of workers could complete this
process. Their work is the HR function of

A. employee retention
B. recruitment
C. selection
D. job design

Answers

recruitment i think.
D job design is the answer

who Henry Mosléy?!!!​

Answers

Answer:

Henry Moseley was an English physicist whose contribution to the science of physics was the justification from physical laws of the previous empirical and chemical concept of the atomic number.

CAN SOMEONE HELP ME WITH THIS

Answers

Answer:

D

Explanation:

Answer is D, you are welcome

Standing and holding a barbell that has a mass of 100kg at a height of 2m involves being done on the barbell to maintain
the position.

Answers

Answer:

1960Joules

Explanation:

Since we are not told what too find, we can as well find the Gravitational Potential Energy.

GPE = mass * acceleration due to gravity * height

GPE = 100*9.8 * 2

GPE = 980*2

GPE = 1960Joules

Hence the gravitational potential Energy is 1960Joules

Help Me Fast Please!!
A piano tuner hears a beat frequency when using a tuning fork to tune a piano wire. The piano tuner should adjust the tension in the wire to
increase the amount of interference and increase the beat frequency.

increase the amount of interference and decrease the beat frequency.

decrease the amount of interference and decrease the beat frequency.

decrease the amount of interference and increase the beat frequency.

Answers

Answer:

There is only a beat frequency when the frequency heard (perhaps a tuning fork) is different from the frequency from  the object in question (piano string, etc.).

The beat frequency equals the difference of the frequencies of the sources.

The piano tuner should adjust the tension in the wire to: C. decrease the amount of interference and decrease the beat frequency.

A wave can be defined as a disturbance created in a medium, which progressively transports energy from a source to another location without the transportation of matter.

Basically, some of the phenomenon and properties associated with waves include the following:

Doppler shift (Doppler effect)ReflectionRefractionDiffractionInterference

An interference refers to a phenomenon in which two (2) waves meet while traveling along the same medium and they superpose to produce a resultant wave with either a lower, greater, or the same amplitude.

In this scenario, a beat frequency is being heard by a piano tuner when using a tuning fork to tune a piano wire. Thus, the piano tuner should adjust the tension in the wire, so as to decrease the amount of interference and the beat frequency.

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answer this plsss
The range of human hearing is 20 Hz – 20 000 Hz.
Calculate the longest and shortest wavelengths we can hear.

Answers

Explanation:

the velocity of sound in air is 330m/s

and v=fh, where h is wavelength f is frequency,

h=v/f.......(1)

longer wavelength

h=330/20,h=16.5m

shorter wavelength

h=330/20000,h=1.65x10-²m

The lesser frequency was used for finding the longer wavelength since wavelength is inversely proportional to frequency,

thus an increase in frequency brings a decrease in wavelength.

and shorter wavelengths are more high and intense

hope this helps

How is a circuit formed

Answers

Answer:

An electrical circuit is composed of a source of electrical power, two wires that can carry electric current, and a light bulb. One end of both the wires is attached to the terminal of a cell while their free ends are connected to the light bulb. The electrical circuit is broken when the bulb is switched off.

How are amplitude, intensity, and
loudness related?

Answers

Answer:

Amplitude is a measure of the size of sound waves. It depends on the amount of energy that started the waves. Greater amplitude waves have more energy and greater intensity, so they sound louder. The same amount of energy is spread over a greater area, so the intensity and loudness of the sound is less.

Explanation:

Two air craft P and Q are flying at the same speed 300m/s. The direction along which P is flying is at right angles to the direction along which Q is flying. Find the magnitude of velocity of the air craft P relative to air craft Q

Answers

Answer:

424.26 m/s

Explanation:

Given that Two air craft P and Q are flying at the same speed 300m/s. The direction along which P is flying is at right angles to the direction along which Q is flying. Find the magnitude of velocity of the air craft P relative to air craft Q

The relative speed will be calculated by using pythagorean theorem

Relative speed = sqrt(300^2 + 300^2)

Relative speed = sqrt( 180000 )

Relative speed = 424.26 m/s

Therefore, the magnitude of velocity of the air craft P relative to air craft Q is 424.26 m/s

A sonar emits a sound signal of frequency 40000Hz, towards the bottom of the sea.
This signal is reflected on the body of a submarine after a delay of 0.3 seconds.
Given: Speed of sound in water is 1500 m/s.

Calculate the period of this wave.

Answers

Answer:

0.000025s

Explanation:

Period it’s. : T(s)= 1/f(Hz)=1/40000Hz=0.000025s

You pull straight up on the string of a yo-yo with a force 0.19 N, and while your hand is moving up a distance 0.12 m, the yo-yo moves down a distance 0.30 m. The mass of the yo-yo is 0.058 kg, and it was initially moving downward with speed 3.4 m/s. (b) What is the new speed of the yo-yo

Answers

Answer:

2.54 m/s

Explanation:

By conservation of energy,

work done by force due to hand = mechanical energy gained by yo-yo

So Fd = mgh + 1/2m(v₂² - v₁²)

where F = force on string = 0.19 N, d = distance moved by hand = 0.12 m, m = mass of yo-yo = 0.058 kg, g = acceleration due to gravity = 9.8 m/s², h = distance moved by yo-yo = 0.30 m, v₁ = initial speed of yo-yo = 3.4 m/s and v₂ = final speed of yo-yo = unknown

So,  Fd = mgh + 1/2m(v₂² - v₁²)

Fd/m = gh + 1/2(v₂² - v₁²)

Fd/m - gh = 1/2(v₂² - v₁²)

2(Fd/m - gh) = (v₂² - v₁²)

(v₂² - v₁²) = 2(Fd/m - gh)

v₂²  = v₁² + 2(Fd/m - gh)

taking square-root of both sides, we have

v₂  = √[v₁² + 2(Fd/m - gh)]

Substituting the values of the variables into the equation, we have

v₂  = √[(3.4 m/s)² + 2(0.19 N × 0.12 m/0.058 kg - 9.8 m/s² × 0.30 m)]

v₂  = √[(3.4 m/s)² + 2(0.19 N × 0.12 m/0.058 kg - 9.8 m/s² × 0.30 m)]

v₂  = √[(3.4 m/s)² + 2(0.0228 Nm/0.058 kg - 9.8 m/s² × 0.30 m)]

v₂  = √[(3.4 m/s)² + 2(0.393 Nm/kg - 2.94 m²/s²)]

v₂  = √[(3.4 m/s)² + 2(-2.547 m²/s²)]

v₂  = √[11.56 m²/s² - 5.094 m²/s²)]

v₂  = √[6.466 m²/s²]

v₂ = 2.54 m/s

what is comma please plz me.!!​

Answers

Answer:

A comma.....

Explanation:

Looks like this (,), and can be used if you have run-on sentences.

I hope this helps :)

hi

what's up

wrud

hmm

hmm

Someone help me & extra pointsss!

Answers

Answer:

117.43 m

Explanation:

Eg=mgh=13x9.81xh=127.53h(N)

Ek=0.5mv^2=0.5(13)(48)^2=14,976 N

by conservation of potenial energy:

Ei=Ef

127.53h=14976

h=117.43m

Four satellites are in orbit around the Earth. The heights and the masses of
the four satellites are given in the table. For which satellite is the gravitational
pull of Earth the strongest?F= Gm1m2/r^2
A. Satellite A
B. Satellite B
C. Satellite C
D. Satellite D

Answers

Answer:

satellite B

Explanation:

A .F= G (mM)/r²

B .F= G (2mM)/r² = 2G (Mm)r²

C .F= G (3mM)/(2r)² = ¾G (mM)/r²

D .F= G (4mM)/(2r)² = G (mM)/r²

When an object is moving to the left and slowing down, what direction is the acceleration?

Answers

Answer:

According to our principle, when an object is slowing down, the acceleration is in the opposite direction as the velocity. Thus, this object has a negative acceleration. In Example D, the object is moving in the negative direction (i.e., has a negative velocity) and is speeding up.

Explanation:

TTC
The TTC subway train in Toronto starts from rest at the Kipling station and accelerates at a
rate of 4.0 m/s for the first 6.0 s. The train then maintains a constant speed for the next
45.0 s.
(a)
(B)
Calculate the train's velocity after 6.0 s have elapsed.
Determine the displacement of the train after 51.0 s of travel.

Answers

I thinks it’s b sorry if I am wrong

What's Inertia ????☁️☁️​

Answers

Explanation:

the inability to change the position from rest to motion or motion to rest by themselves is inertia.

Answer:

Inertia is the property of a body in rest to resist motion or a body in motion to continue to its state of motion unless acted by external forces.

Four satellites are in orbit around the Earth. The heights of their four orbits
are identical. The masses of the four satellites are given in the table. For
which satellite is the gravitational pull of Earth the strongest?

A. Satellite A
B. Satellite B
C. Satellite C
D. Satellite D

Answers

The gravitational pull of Earth is stronger in satellite A

Is a plant a vertebrate or invertebrate

Answers

Answer:

Veterbrate

Explanation:

The answer is vertebrate

Two beakers are at the same temperature. One beaker has more water than the other. Which one contains more heat? Explain why.

Answers

Answer:

I would say the beaker with less water.

Explanation:

I was say this because while they are the same temperature the beaker with more water still has to fluctuate the heat or cold. They do this at the same speed but since there is less water in one beaker it finishes faster where as the beaker with more water will finish later.

Which statement is true about the thermal energy of an object? Choose the correct answer.
1. Thermal energy is the internal potential energy of an object.
2.Thermal energy is the heat that is transferred in and out of an object.
3. Thermal energy is the sum of kinetic and potential energy of an object.
4. Thermal energy is the internal kinetic energy of the molecules of an object.

Answers

Answer:

the answer is number 2

Explanation:

did this earlier this year

A circus performer wants to land in a net 5 meters to the right of where she will let go of the trapeze. If she is 10 meters above the net, how fast must she be moving horizontally when she lets go? Round your final answer to three significant figures.

Answers

Answer:

Assuming no air friction,

the time it takes to fall 10 m = t = √2h/g = √(20/9.8) = 1.43 s

horizontal distance = 5 m

horizontal speed = distance/time = 5/1.43 = 3.5 m/s  ANS

Explanation:

i hope this helps!

1.A motorcycle’s velocity at the top of the hill is 11.0 m/s. 4.0 seconds later it reaches the bottom of the hill with a velocity of 20.0 m/s. What is the acceleration of the motorcycle?

2.A motorcycle’s velocity at the top of the hill is 11.0 m/s. 4.0 seconds later it reaches the bottom of the hill with a velocity of 20.0 m/s. What is the acceleration of the motorcycle?

Answers

Answer:

1) as far as I remember

Let's take 20 as vf (final velocity) and 11 as (initial velocity) and 4 as time

So we would use this formula a=vf-vi/t

So 20-11/4

Asnwer 2.25

If a 96 n force of gravity is happening to a falling basketball what is the ball mass? The accelydue to gravity is 9.8m/s^2

Answers

Answer:

9.80 kg

Explanation:

F = ma

96 N = m(9.8 m/s^2)

m = 9.80 kg

The mass of the ball will be m= 9.8 kg

What is Newton's second law of motion?

It states that the force is equal to the rate of change of momentum . For a constant mass , force is equal to mass times acceleration

given :

Force due to gravity = 96 N

g = acceleration due to gravity = 9.8 m /s^2

using Newton's second law of motion

Since , F = ma

          96 = m g

          m = 96/9.8

          m= 9.8 kg

The mass of the ball will be m= 9.8 kg

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What is the relationship between potential and kinetic energy and electricity

Answers

Answer:

The primary relationship between the two is their ability to transform into each other. In other words, potential energytransforms into kinetic energy, andkinetic energy converts into potential energy, and then back again.

Two swimmers competed in a race. The graph shows how the position of both swimmers

changed over time during the race.



Two swimmers competed in a race. The graph shows how the position of both swimmers


At what rate of speed did Swimmer 1 travel throughout the race?

Answers

Answer:

2m/s

Explanation:

Calculate the slope at any point as the line is linear. i.e. 20/10 = 2/1 m/s

Where on the periodic table are metal elements most likely found?
A. Along the stairstep line
B. In the main groups
C. On the left side
D. On the right side

Answers

Metal elements are most likely found on the left side of the periodic table. Details about periodic table can be found below.

What is periodic table?

Periodic table is a tabular chart of the chemical elements according to their atomic numbers so that elements with similar properties are in the same group or column.

Metallic elements are one of the group of elements found on the periodic table and they include the following:

CalciumPottasiumScandium

Metallic elements are located on the left hand side of the periodic table.

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#SPJ5

Answer: (A) Along the stairstep line

Explanation:

A small pebble and one large boulder start at the same height and begin rolling down the side of a mountain. Which object would have less kinetic energy as it crashes on the road at the bottom of the mountain? Justify your selection.

Answers

Answer:

The small pebble

Explanation:

Since the potential energy, P.E lost equals kinetic energy, K.E gained,

P.E = K.E

P.E = mgh = K.E

So, K.E = mgh where g = acceleration due to gravity and h = height of drop

Since h and g are constant

K.E ∝ m

So, the kinetic energy of the object is directly proportional to its mass. Thus, the object with the smaller mass has the lesser kinetic energy.

Since the object with the smaller mass is the small pebble, so the small pebble would have less kinetic energy as it crashes on the road at the bottom of the mountain.

The linear expansivity of metal P is twice that of another metal Q. When these materials are heated through the same temperature change, their increase in length is the same. Calculate the ratio of the original length of P to Q​

Answers

It’s p as it’s to the 19th century
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