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Veronika [31]
3 years ago
6

A rope is wrapped around a pulley many times. The pulley can be modeled as a solid disk of radius R and mass M, and a mass mA ha

ngs vertically from the pulley. The mass is released from rest. show answer Incorrect Answer 25% Part (a) What is the magnitude of the tangential acceleration of the hanging mass?
Physics
1 answer:
aleksandr82 [10.1K]3 years ago
4 0

The magnitude of the tangential acceleration of the hanging mass is 2mg/MR

<h3>Tangential acceleration of the hanging mass</h3>

The tangential acceleration of the hanging mass around the pulley is determined from the principle of conservation of angular momentum as shown below;

τ = Iα

Where;

  • I is the moment of inertia
  • α is the angular velocity

\alpha = \frac{\tau}{I} \\\\\alpha = \frac{mgR}{3/2MR^2} \\\\\alpha = \frac{2mgR}{3MR^2} \\\\\alpha = \frac{2mg}{3MR}

Where;

  • m is the hanging mass
  • M is the mass of solid disk

The tangential acceleration is calculated as follows;

a = \alpha R\\\\a = \frac{2mg}{3MR} \times R\\\\a = \frac{2mg}{3M}

Thus, the magnitude of the tangential acceleration of the hanging mass is 2mg/MR

Learn more about tangential acceleration here: brainly.com/question/11476496

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Readme [11.4K]

1.39m/s

Explanation:

Given parameters:

Mass of car M₁ = 1000kg

Velocity V₁ = 2.5m/s

Mass of second car M₂ = 1800kg

Unknown:

Velocity of second car V₂ = ?

Solution:

For the other body to come to rest, the momentum of the colliding cars must be equal and in the opposite direction:

       Momentum of car 1 - momentum of car 2 = 0

 Momentum of car 1 = Momentum of car 2

  M₁V₁ = M₂V₂

The unknown is V₂

      1000x2.5 = 1800V₂

                  V₂ = \frac{2500}{1800} = 1.39m/s

Learn more:

Momentum brainly.com/question/2990238

#learnwithBrainly

3 0
3 years ago
a baseball pitcher throws a fastball at 98 mph. he also has a slower "changeup" pitch, 75 mph, which he throws identically, same
notsponge [240]

Answer:

For these reasons at 98 mph the path is straighter

Explanation:

To solve this problem we are going to use the kinematic equations, specifically those of projectile launches, let's calculate the distances that the ball travels

     

          X = Vox t

          Y = Yo +  Voy t - ½ g t²

They tell us that the only parameter that changes is the speed, so the distance to the plate is known

          t = Vox / x

 

We replace

         Y- Yo = Voy (Vox / X) - ½ g (Vox / x)²2

       Y -Yo = Vo² sinθ cos θ / x - ½ g Vo² sin²θ / x²

        Y -Yo = Vo² (sinθ cosθ / x - ½ g sin²θ / x²)

The trajectory will be flatter when Y is as close as possible to Yo, when examining the right side of the equation, the amount in Parentheses is constant and to what they tell us that the angles and the distance the plate does not change.

Consequently, of the above, the only amount changes is the initial speed if it increases the square of the same increases, so that the height Y approaches the height of the shoulder, that is, DY decreases. For these reasons at 98 mph the path is straighter

7 0
3 years ago
PLS HELP! WILL MARK BRANLIEST!!!
Finger [1]

Answer:

d. epicentral distance scale

Explanation:

The depth of focus from the epicenter, called as Focal Depth, is an important parameter in determining the damaging potential of an earthquake. Most of the damaging earthquakes have shallow focus with focal depths less than about 70km. Distance from epicenter to any point of interest is called epicentral distance

7 0
4 years ago
A thin-walled vessel of volume V contains N particles which slowly leak out of a small hole of area A. No particles enter the vo
LuckyWell [14K]

Answer:

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Explanation:

From the question we are told that

Volume V

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Generally the equation for Flow rate is given as

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Mathematically we find the  time taken to flow half way which is given by

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Therefore the  time taken is

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7 0
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olga55 [171]
The process of arriving at a general conclusion based on the observation of specific examples is called inductive reasoning. It is a logical process where multiple premises are combined to obtain a conclusion. It is <span>used in applications that involve prediction and forecasting.</span>
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