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
aksik [14]
3 years ago
10

A rope of negligible mass passes over a uniform cylindrical pulley of 1.50kg massand 0.090m radius. The bearings of the pulley h

ave negligible friction, and the rope does not slip on the pulley. On one end of the rope hangs a 3.00kg bunch of bananas, and on the other end hangs a 4.50kg monkey. Calculate the downward acceleration of the monkey and the tension in both ends of the rope.
Physics
1 answer:
boyakko [2]3 years ago
4 0

Answer:

Explanation:

mass of pulley, m3 = 1.5 kg

Radius of pulley, R = 0.09 m

mass of monkey, m2 = 4.5 kg

mass of banana bunch, m1 = 3 kg

Let a is teh acceleration ans T1 and T2 be the tension in the rope.

The moment of inertia of the pulley

I = 0.5 x m3 x R² = 0.5 x 1.5 x 0.09 x 0.09 = 0.006075 kgm²

According to Newton's second law

T1 - m1 g = m1 x a .... (1)

m2 g - T2 = m2 x a ..... (2)

(T2 - T1 ) x R = I x α    

where, α is the angular acceleration

α = a / R

(T2 - T1)R = 0.5 x m3 x R² x a / R

T2 - T1 = 0.5 x m3 x a ..... (3)  

from (1), (2) and (3)

a = \frac{m_{2}-m_{1}}{m_{1}+m_{2}+\frac{m_{3}}{2}}\times g

a = \frac{4.5-3}{3+4.5+0.75}\times 9.8

a = 1.78 m/s²

from equation (1)

T1 = m1 ( g + a) = 3 ( 9.8 + 1.78) = 34.77 N

from equation (2)

T2 = m2 (g - a) = 4.5 (9.8 - 1.78) = 36.13 N

You might be interested in
The acceleration due to gravity near Earth ... Select one: a. varies inversely with the distance from the center of Earth. by. v
vladimir1956 [14]

Answer:

b. varies inversely with the square of the distance from the center of Earth.

Explanation:

Comparing the Newton's law of universal gravitation and second law of motion;

from Newton's second law of motion,

F = ma ............. 1

from New ton's law of universal gravitation,

F = \frac{GMm}{r^{2} } ........... 2

Equating 1 and 2, we have;

mg =  \frac{GMm}{r^{2} }

g = \frac{GM}{r^{2} }

Therefore, the acceleration due to gravity near Earth, g, is inversely proportional to the square of the distance from the center of Earth.

7 0
3 years ago
PLEASE HELP QUICKLY!!!!!
Grace [21]

Answer:

D air

Explanation:

it is not found on the periodic table

brainliest plsssssssssssssssss

3 0
3 years ago
Why is density used to determine the identity of matter?
dedylja [7]
 a substance's density is the same at a certain pressure and temperature, and the density of one substance is usually different than another substance.
4 0
3 years ago
A car is accelerated from 40 m/s to 48 m/s in 6.5 seconds. What is the magnitude of the car’s
pantera1 [17]

Answer:

Explanation:

AVerage acceleration is the cjange in velocity with time

a = v-u/t

v is the final velocity = 48m/s

u is the initial velocity = 40m/s

t is the time = 6.5s

a = 48-40/6.5

a = 8/6.5

a = 1.23m/s²

Hence the magnitude of the car’s  average acceleration during this period is 1.23m/s²

4 0
3 years ago
(b) Two containers made of insulating material contain the same volume of water at room
masha68 [24]

Answer:

the volume of liquid decreased due to evaporation from the exposed free surface of water so molecules got evaporated .

evaporation occurs at room temperature.

5 0
2 years ago
Other questions:
  • According to this graph, which statement describes how the amount of iron changes over time in the reaction
    13·1 answer
  • 10 PTS!
    14·1 answer
  • What is the most important long-lasting internal heat source responsible for geological activity?
    11·1 answer
  • Two electric motors drive two elevators of equal mass in a three-story building 10 meters tall. Each elevator has a mass of 1,00
    7·1 answer
  • Impulse is defined as the average force acting on an object multiplied by the time the force acts. If we let I represent impulse
    11·1 answer
  • High-frequency sound waves are to ______ as low-frequency sound waves are to ______.
    12·1 answer
  • 50 points and brainleist
    7·2 answers
  • A test charge of +3 µC is at a point P where the electric field due to the other charges is directed to the right and has a magn
    15·1 answer
  • Which are true of alpha radiation?
    5·1 answer
  • Wan and Nurul sat on a see-saw. The see-saw is imbalanced because Wan’s mass is 45 kg while Nurul’s mass is only 30 kg. Suggest
    5·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!