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
slavikrds [6]
2 years ago
13

An Atwood's machine consists of two different masses, both hanging vertically and connected by an ideal string which passes over

a pulley. Let the masses be M1 and M2 and M2 = 2M1. Initially, M1 is held fixed a distance y below M2. Find the speed of the blocks when they are the same elevation (that is, the same horizontal position, by then each block has moved y/2).
Physics
1 answer:
Tasya [4]2 years ago
5 0

Answer:

V₁ = √ (gy / 3)

Explanation:

For this exercise we will use the concepts of mechanical energy, for which we define energy n the initial point and the point of average height and / 2

Starting point

    Em₀ = U₁ + U₂

    Em₀ = m₁ g y₁ + m₂ g y₂

Let's place the reference system at the point where the mass m1 is

     y₁ = 0

    y₂ = y

    Em₀ = m₂ g y = 2 m₁ g y

End point, at height yf = y / 2

    E_{mf} = K₁ + U₁ + K₂ + U₂

    E_{mf} = ½ m₁ v₁² + ½ m₂ v₂² + m₁ g y_{f} + m₂ g y_{f}

Since the masses are joined by a rope, they must have the same speed

     E_{mf} = ½ (m₁ + m₂) v₁² + (m₁ + m₂) g y_{f}

   E_{mf}= ½ (m₁ + 2m₁) v₁² + (m₁ + 2m₁) g y_{f}

How energy is conserved

   Em₀ =  E_{mf}

   2 m₁ g y = ½ (m₁ + 2m₁) v₁² + (m₁ + 2m₁) g y_{f}

   2 m₁ g y = ½ (3m₁) v₁² + (3m₁) g y / 2

   3/2 v₁² = 2 g y -3/2 g y

   3/2 v₁² = ½ g y

   V₁ = √ (gy / 3)

You might be interested in
compared to an object that does not roll, but instead slides without friction, should a rolling object be released from the same
Zinaida [17]

Answer:

from a lesser hight

Explanation:

because you need less force

hope its right if it is mark brainlyest ;)

6 0
2 years ago
What do you think causes the rising and sinking of molten rock in the mantle?
Svet_ta [14]

Answer:

Heyyy hope this helps

Convection currents describe the rising, spread, and sinking of gas, liquid, or molten material caused by the application of heat.

3 0
2 years ago
What happens to balloon filled with air when it goes very high attitude from surface of earth why​
vlada-n [284]

Answer:

The balloon will continue to expand and eventually burst.

Explanation:

Simply, the reason for this is because the density of the atmosphere decreases gradually as you increase in altitude closer to space. This means that the air on the outside of the balloon can't provide enough pressure over the surface of the balloon in order to counteract the gas on the inside of the balloon from expanding.

3 0
2 years ago
A hawk leaves its nest in Fort Worth and travels 3,000 meters east. After snacking on a tasty rodent the hawk flies another 1,50
Paha777 [63]
I think the logical question here is to either find the distance or the displacement. They differ in such a way that distance is a scalar quantity that does not focus on the direction. Displacement is a vector quantity that covers the distance from the starting point to end point. Because it travels only in one direction (to the east), in this condition, distance is equal to displacement.

Distance =  Displacement = 3,000 m + 1,500 m = 4,500 m
6 0
2 years ago
When two point charges are a distance d apart, the magnitude of the electrostatic force between them is F. If the distance betwe
EastWind [94]

Answer:

The magnitude of the electrostatic force decreases by a factor 9

Explanation:

The electrostatic force between two charges is given by:

F=k\frac{q_1 q_2}{d^2}

where

k is the Coulomb's constant

q1 and q2 are the two charges

d is the distance between the two charges

We see that the magnitude of the force is inversely proportional to the square of the distance. If the distance is increased to 3d: d' = 3d, the new electrostatic force would be:

F'=k\frac{q_1 q_2}{(d')^2}=k\frac{q_1 q_2}{(3d)^2}=\frac{1}{9} k\frac{q_1 q_2}{d^2}=\frac{F}{9}

So, the electrostatic force decreases by a factor 9.

3 0
3 years ago
Read 2 more answers
Other questions:
  • When deciding antenna types, why might the use of an omnidirectional antenna be inadvisable?
    11·1 answer
  • A molecule of roughly spherical shape has a mass of 6.10 × 10-25 kg and a diameter of 0.70 nm. The uncertainty in the measured p
    6·1 answer
  • The world record for a 100 m race is 10.44 m/s. How fast is this in mi/h?
    6·1 answer
  • Which of the followings are true about Vmax? A. The higher the [enzyme], the higher the Vmax B. Vmax is proportional to k2 C. Vm
    5·1 answer
  • In which type of wetland are you most likely to find carnivorous plants?
    12·2 answers
  • Rafael swings a baseball bat with a force of 25 N. The baseball bat exerts a force of 5 N on the baseball. What is the mechanica
    13·2 answers
  • Which compound is composed of oppositely charged ions
    7·1 answer
  • Vitellium (Vi) has the following composition:
    15·1 answer
  • UWU plz help 50 points!!
    9·1 answer
  • 5 points
    9·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!