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faust18 [17]
3 years ago
15

You push a disk-shaped platform tangentially on its edge 2.0 m from the axle. The platform starts at rest and has a rotational a

cceleration of 0.30 rad/s2. Determine the distance you must run while pushing the platform to increase its speed at the edge to 7.0 m/s.
Physics
1 answer:
Natali [406]3 years ago
7 0

Answer: 40.84 m

Explanation:

Given

Radius of the disk, r = 2m

Velocity of the disk, v = 7 rad/s

Acceleration of the disk, α = 0.3 rad/s²

Here, we use the formula for kinematics of rotational motion to solve

2α(θ - θ•) = ω² - ω•²

Where,

ω• = 0

ω = v/r = 7/2

ω = 3.5 rad/s

2 * 0.3(θ - θ•) = 3.5² - 0

0.6(θ - θ•) = 12.25

(θ - θ•) = 12.25 / 0.6

(θ - θ•) = 20.42 rad

Since we have both the angle and it's radius, we can calculate the arc length

s = rθ = 2 * 20.42

s = 40.84 m

Thus, the needed distance is 40.84 m

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C. Newton’s Third Law of Motion.

Because...
Newtons third law implies conversation of momentum it can also be seen as following from the second law: when one object pushes a second object at some point of contact using an applied force, there must be an equation of opposite force from the second object that cancels the applied force. Otherwise, there would be a nonzero net force on a massless point which, by the second law, would accelerate the point of contact by an infinite amount.
5 0
3 years ago
Read 2 more answers
A flat, 179 179 ‑turn, current‑carrying loop is immersed in a uniform magnetic field. The area of the loop is 4.41 cm 2 4.41 cm2
Alecsey [184]

Answer:

The value of the magnetic field is  B =0.1423T

Explanation:

From the question we are told that

              The number of turns is  N = 179

               The area of the loop is A = 4.41cm^2 = \frac{4.41}{10000} = 0.000414m

                 The angle is  \theta  = 59^o

               The torque  is  \tau =2.25 * 10^{- 5} N

                The current is  I = 2.49\ mA

The torque acting on the current carry loop is  mathematically represented as

                     \tau = B * I * N * A * sin \theta

Where is the magnitude of the magnetic filed

Making B the subject

                     B= \frac{\tau}{I * N * A * sin\theta}

Substituting values

                    B = \frac{2.25*10^{-5}}{2.49*10^{-3} * 179 * 0.000414 * sin (59)}

                       =0.1423 T

4 0
4 years ago
A battery with an emf of 12.0 V shows a terminal voltage of 11.4Vwhen operating in a circuit with two lightbulbs, each rated at
FinnZ [79.3K]

Answer:

0.95 A

Explanation:

P = Power of bulb = 4 W

V = Voltage = 12 V

Power is given by

P=\dfrac{V^2}{R}\\\Rightarrow R=\dfrac{V^2}{P}\\\Rightarrow R=\dfrac{12^2}{4}\\\Rightarrow R=36\ \Omega

The connections are in Parallel

Equivalent resistance of these two bulb

\dfrac{36}{2}=18\ \Omega

Current from the source

I=\dfrac{11.4}{18}=0.63\ A

The voltage drop is

12-11.4=0.6\ V

Voltage drop is given by

\Delta V=R_iI\\\Rightarrow R_i=\dfrac{\Delta V}{I}\\\Rightarrow R_i=\dfrac{0.6}{0.63}\\\Rightarrow R_i=0.952380952381\ A

The internal resistance is 0.95 A

3 0
3 years ago
Determinați numărul protonilor și cel al neutronilor în nucleul atomului
Mrrafil [7]

Answer:

- Beryllium has 4 protons and 5 neutrons in its nucleus.

- The nucleus of the periodic table isotope of Uranium has 92 protons and 146 neutrons.

The nucleus of the periodic table isotope of Thorium has 90 protons and 142 neutrons.

- Check Explanation

- Check Explanation

In Romanian/In limba romana

- Berilul are 4 protoni și 5 neutroni în nucleul său.

- Nucleul izotopului tabelului periodic al Uraniului are 92 de protoni și 146 de neutroni.

Nucleul izotopului tabelului periodic al Toriului are 90 de protoni și 142 de neutroni.

- Verificați Explicația

- Verificați Explicația

Explanation:

English Translation

- Determine the number of protons and neutrons in the nucleus of the atom of beryllium.

- Determine the structure of the nuclei of the isotopes of uranium and thorium

- Which forces are called nuclear forces.

- List the peculiarities of nuclear forces.

Solution

Note that the number of protons in the nucleus of an atom is the atomic number of that atom.

And the mass number of the atom is the sum of protons and neutrons in the nucleus of the atom.

The nucleus of an atom is the most massive part of an atom containing almost exclusively the neutrons and the protons of the atom.

- Beryllium has an atomic number of 4 and a mass number of 9.

Hence, its number of protons = atomic number = 4

(Number of protons) + (Number of neutrons) = mass number

Number of neutrons

= (mass number) - (Number of protons)

= 9 - 4 = 5

- Uranium has atomic number of 92 and mass number of 238.

Number of protons = 92

Number of neutrons = 238 - 92 = 146

Thorium has atomic number of 90 and a mass number of 232.

Number of protons = 90

Number of neutrons = 232 - 90 = 142 neutrons.

- Nuclear forces are the forces that keep the neutrons and protons of an atom bonded to the nucleus of an atom. The constituents of the atom's nucleus are called nucleons. Nuclear forces are the forces between two or more nucleons.

- The nuclear forces are about 10 million times stronger than the forces that bind atoms together in molecules and compounds.

Hence, massive energies are required to break into the nucleus of atoms.

This is why nuclear reactors produce about a million times more energy per kilogram fuel compared to chemical fuel.

However, the range of the nuclear force is short, only about 10⁻¹⁵ m, beyond which it decreases rapidly.

This is why, in spite of its enormous strength, we do not feel anything of this force on the atomic scale or in everyday life.

In Romanian/In limba romana

Rețineți că numărul protonilor din nucleul unui atom este numărul atomic al acelui atom. Și numărul de masă al atomului este suma protonilor și neutronilor din nucleul atomului. Nucleul unui atom este partea cea mai masivă a unui atom care conține aproape exclusiv neutroni și protonii atomului.

- Beriliu are un număr atomic de 4 și un număr de masă de 9.

Prin urmare, numărul său de protoni = numărul atomic = 4

(Număr de protoni) + (Număr de neutroni) = număr de masă

Numărul de neutroni = (număr de masă) - (Număr de protoni) = 9 - 4 = 5

- Uraniul are numărul atomic de 92 și numărul de masă de 238.

Numărul de protoni = 92

Numărul de neutroni = 238 - 92 = 146

Toriul are un număr atomic de 90 și un număr de masă de 232.

Numărul de protoni = 90

Numărul de neutroni = 232 - 90 = 142 neutroni.

- Forțele nucleare sunt forțele care mențin neutronii și protonii unui atom legați de nucleul unui atom.

Constituenții nucleului atomului se numesc nucleoni. Forțele nucleare sunt forțele dintre doi sau mai mulți nucleoni.

- Forțele nucleare sunt de aproximativ 10 milioane de ori mai puternice decât forțele care leagă atomii împreună în molecule și compuși.

Prin urmare, energiile masive sunt necesare pentru a pătrunde în nucleul atomilor.

Acesta este motivul pentru care reactoarele nucleare produc aproximativ un milion de ori mai multă energie pe kilogram de combustibil în comparație cu combustibilul chimic.

Cu toate acestea, domeniul forței nucleare este scurt, doar aproximativ 10⁻¹⁵ m, dincolo de care scade rapid.

Acesta este motivul pentru care, în ciuda puterii sale enorme, nu simțim nimic din această forță pe scara atomică sau în viața de zi cu zi.

Hope this Helps!!!

Sper că acest lucru vă ajută!!!

7 0
3 years ago
A boat has a mass of 54,000 kg. The boat is accelerating at 0.4 m/s2. What is the net force acting on the boat?'
Arlecino [84]

Answer:

21.6 kN

Explanation:

F = m * a

F = 54 000 * .4  = 21600 N

5 0
2 years ago
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