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
Feliz [49]
3 years ago
15

A cylindrical pulley with a mass of 4.4 kg, radius of 0.816 m and moment of inertia 1 2 M r2 is used to lower a bucket with a ma

ss of 3.1 kg into a well. The bucket starts from rest and falls for 2.9 s. r M m What is the linear acceleration of the falling bucket
Physics
1 answer:
satela [25.4K]3 years ago
3 0

Answer:

5.85 m/s²

Explanation:

Mass of pulley (M) = 6.8 kg, mass of bucket (m) = 1.5 kg, radius of pulley (r) = 0.816 m, acceleration due to gravity (g) = 10 m/s².

Let the tension exerted on the pulley be T and the angular acceleration be α,

The angular acceleration (α) = a / r; where a is the linear acceleration.

mg - T = ma

T = m(g - a)

Also, for the disk:

Tr = Iα

I = moment of inertia = 0.5Mr²

m(g - a)r = 0.5Mr²(a/r)

m(g - a)r = 0.5Mra

2m(g - a) = Ma

2mg - 2ma = Ma

Ma + 2ma = 2mg

a(M + 2m) = 2mg

a = 2mg / (M + 2m)

Substituting:

a = 2(3.1 kg)(10 m/s²) / (4.4 + 2(3.1))

a = 5.85 m/s²

You might be interested in
How long does it take a car travelling at 60 m.p.h to cover 5 miles?
k0ka [10]

Answer:

Time = 5 minutes

6 0
3 years ago
Read 2 more answers
A charge q produces an electric field of strength 2E at a distance of d away. Determine the electric field strength at a distanc
Alja [10]

The electric field strength of a point charge is inversely proportional to the square of the distance from the charge ... a lot like gravity.

If the magnitude of the field is (2E) at the distance 'd', then at the distance '2d', it'll be (2E)/(2²).  That's (2E)/4 = 0.5E .

3 0
3 years ago
Read 2 more answers
How to convert 40m/min to km/h? need step by step explanation​
Hitman42 [59]

Answer:

i have no clue i just need brailnly points

Explanation:

7 0
3 years ago
Read 2 more answers
Which of the following statements is true?
Bad White [126]
The answer is c hope this helps



6 0
3 years ago
Read 2 more answers
The maximum wavelength that an electromagnetic wave can have and still eject electrons from a metal surface is 542 nm. What is t
Veseljchak [2.6K]

Answer:

2.295 eV

Explanation:

maximum wavelength, λ = 542 nm = 542 x 10^-9 m

The work function of the metal is defined as the minimum amount of energy falling on the metal so that the photo electrons just ejects the surface of metal.

W_{o}=\frac{hc}{\lambda }

where, h is the Plank's constant and c be the speed of light

h = 6.634 x 10^-34 Js

c = 3 x 10^8 m/s

W_{o}=\frac{6.634\times 10^{-34}\times 3\times 10^{8}}{542\times10^{-9} }

W_{o}=3.67\times 10^{-19} J=\frac{3.67\times 10^{-19}}{1.6\times 10^{-19}} eV

Wo = 2.295 eV

Thus, the work function of this metal is 2.295 eV.

5 0
3 years ago
Other questions:
  • True or False? A negative energy balance occurs when you take in more calories than you need, and a positive energy balance occu
    15·1 answer
  • The cpu might be covered by a(n) ________, which dissipates the heat generated by the chip.
    11·1 answer
  • Which of these gases, when mixed with moisture in the atmosphere, can form acid rain
    6·2 answers
  • Which type of mechanical wave moves back and forth?
    10·2 answers
  • Please help me! (image attached)
    12·2 answers
  • Which object moves in simple harmonic motion?\
    8·1 answer
  • The most abundant type of coal in the United States is _____. bituminous coal lignite brown anthracite
    5·1 answer
  • If a substance has a density of 2.7g/cm3 and a mass of 86.4g, what is its volume?
    5·1 answer
  • 10POiNTS!!! SPACE QUESTION!
    8·1 answer
  • According to Newton's law of universal gravitation, which statement is true?
    13·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!