1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Dmitry_Shevchenko [17]
4 years ago
5

Three children are riding on the edge of a merry‑go‑round that has a mass of 105 kg and a radius of 1.40 m . The merry‑go‑round

is spinning at 20.0 rpm. The children have masses of 22.0, 28.0, n 33.0 kg. If the 28.0 kg child moves to the center of the merry‑go‑round, what is the new angular velocity in revolutions per minute?
Physics
1 answer:
Irina18 [472]4 years ago
3 0

Answer:

new angular velocity  is 25.20 rpm

Explanation:

Given data

mass = 105 kg

radius =  1.40 m

spinning = 20.0 rpm

masses = 22.0 , 28.0 and 33.0 kg

to find out

new angular velocity

solution

we apply here conservation momentum

L initial  = L final   .........1

we know Ip = 1/2 mr² = 1/2 × 105 ×1.4² = 102.9 kg/m³

and for children initial I(i) = ( 33 + 28 + 22 )=   83 × 1.4² = 162.68 kg/m²

and  I(f) children final = 33+ 22 = 55 × 1.4² = 107.80 kg/m²

so as that from equation 1

Ip  + I(i) × 20 = Ip ×  I(f)  × ω

(102.9  + 162.68 ) × 20 = (102.9 +  107.80 ) × ω

ω =  25.209302

so  new angular velocity  is 25.20 rpm

You might be interested in
Now suppose the initial velocity of the train is 4 m/s and the hill is 4 meters tall. If the train has a mass of 30000 kg, what
hoa [83]

Answer:

<h2>187,500N/m</h2>

Explanation:

From the question, the kinectic energy of the train will be equal to the energy stored in the spring.

Kinetic energy = 1/2 mv² and energy stored in a spring E = 1/2 ke².

Equating both we will have;

1/2 mv² = 1/2ke²

mv² = ke²

m is the mass of the train

v is the velocity of then train

k is the spring constant

e is the extension caused by the spring.

Given m = 30000kg, v = 4 m/s, e = 4 - 2.4 = 1.6m

Substituting this values into the formula will give;

30000*4² =  k*1.6²

k = \frac{30,000*16}{1.6^2}\\ \\k = \frac{480,000}{2.56}\\ \\k = 187,500Nm^{-1}

The value of the spring constant is 187,500N/m

7 0
3 years ago
A car has a mass of 1.50 x 103 kg. If the force acting on the car is 6.75 10°N to
kolbaska11 [484]

Answer:

yeet

Explanation:

;\

6 0
4 years ago
A student pulls out his or her chair in order to sit down. The student pulls the chair 0.75 m with a force of 20 N. How much wor
IRINA_888 [86]
Work = Force x displacement
Force= 20N
Displacement= 0.75m

W= 20(0.75)
W= 15 Nm
3 0
3 years ago
Please help me on this position-time graph assignment!!!
saw5 [17]

\text{Hello there! :)}

\text{The velocity is essentially the slope of the graph in a position vs. time graph, so:}

\text{Given: From 0 - 8 sec, velocity of 10 m/s.}\\\\\text{From 8 - 18 sec, velocity of -5 m/s. (In opposite direction because of the negative sign)}\\\\\\\text{From 18 - 22 sec, velocity of 0 m/s. (Object at rest)}\\\\\text{From 22 - 24 sec, velocity of 5 m/s.}\\\\\text{Graph the position vs. time graph using the velocities as the slope of the line }

6 0
4 years ago
Which action best demonstrates the transformation of mechanical energy to heat energy and light energy?
Vinvika [58]

Well, first off, mechanical energy is the sum of kinetic and potential energy in an object that is used to do work. In other words, it is energy in an object due to its motion or position, or both. Heat energy is the result of the movement of tiny particles called atoms, molecules or ions in solids, liquids and gases. Light energy is the only form of energy that we can actually see directly. It is formed through chemical, radiation, and mechanical means. Striking a match stick (mechanical energy) creates fire, which has a ton of heat energy, and produces light too, so the answer, is A. I hope i could help!

5 0
3 years ago
Other questions:
  • An ambulance travels down a high way at a speed of 75.0 mi/h, its siren emitting sound at a frequency of 400 Hz. What frequency
    12·1 answer
  • In the diagram, the wavelength is shown by :
    12·1 answer
  • Which phrase best describes a semidiurnal tide pattern?
    12·1 answer
  • When using the magnification equation, a value greater than 1 as the solution for M indicates that the image is
    8·1 answer
  • Okay guys I need serious help here plz!!!
    7·1 answer
  • What are 3 ways a machine serves its purpose?
    12·2 answers
  • If the weight is 950 newtons, what is the mass?
    9·2 answers
  • What do you suppose would cause an atom to lose an electron?
    6·1 answer
  • Compare and contrast mental health and emotional health.
    15·1 answer
  • If a car travels 125 miles in 2.5 hours, what was the cars average speed over the 2.5 hours?
    13·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!