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HACTEHA [7]
3 years ago
8

A 0.60-kg object is suspended from the ceiling at the end of a 2.0-m string. When pulled to the side and released, it has a spee

d of 4.0 m/s at the lowest point of its path. What maximum angle does the string make with the vertical as the object swings up?
Physics
1 answer:
Brrunno [24]3 years ago
3 0

Answer:

ø = 53.7º

Explanation:

The measurement of kinetic energy in an object is calculated based on the object's mass and velocity.

KE=1/2mv²

where m is mass

v is velocity

given data

m=0.60 kg

v=4.0 m/s

So

KE = 1/2 . 0.6 . 4^2  

KE= 4.8 J

All the KE is converted into GPE ("Gravitational potential energy (GPE) - energy stored in an object when moving the object to a height")

4.8  = 0.6 . 9.8 . ∆h

∆h  = 0.816 m

This is the height that the object rises.

cos ø  = (2 – 0.816 ) / 2 = 0.592

ø = 53.7º

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3 years ago
In a mail-sorting facility, a 2.50-kg package slides down an inclined plane that makes an angle of 20.0° with the horizontal. Th
lawyer [7]

Answer:

The coefficient of kinetic friction is 0.382.

Explanation:

Given:

Angle of inclination is, \theta=20.0°

Mass of package is, m=2.50\ kg

Initial speed of package is, u=2.00\ m/s

Final speed of the package at the bottom is, v=0\ m/s

Distance of travel along the incline is, d=12.0\ m

Acceleration due to gravity is, g=9.8\ m/s^2

Let the coefficient of kinetic friction be \mu.

Now, the frictional force will be acting along the incline but in the direction opposite to the direction of motion.

So, the net acceleration acting on the package will be up the incline and is equal to:

a=\mu g\cos\theta-g\sin\theta ----------------- 1

Now, using equation of motion, we have:

v^2-u^2=2ad\\\\0-(2.00)^2=2a(12.0)

Solving for 'a', we get:

-4.00=24.0a\\\\a=-\frac{4}{24}=-\frac{1}{6}\ m/s^2

Now, plug in the value of 'a' in equation (1). This gives,

\mu g\cos\theta-g\sin\theta=\frac{1}{6} ( Neglecting negative sign)

Plug in all the given values and solve for \mu. This gives,

9.8(-sin(20)+\mu cos(20))=\frac{1}{6}\\\\-0.342+\mu\times 0.94=0.017\\\\0.94\mu=0.342+0.017\\\\0.94\mu=0.359\\\\\mu=\frac{0.359}{0.94}=0.382

Therefore, the coefficient of kinetic friction is 0.382.

5 0
3 years ago
Which experiment has a non-uniform probability model? Select two answers. A. Tossing a fair coin one time B. Randomly guessing t
DiKsa [7]

Answer:

C and D

Explanation:

A uniform probability model is a probabilistic model characterized by a uniform probability density function, or uniform distribution.

In common language, a uniform probability distribution means that all possible outcomes in the probability space have the same probability of occurrence.

So:

- A fair toss of coin every possible outcome (H,T) has probability 0.5. It is modeled by by a uniform discrete distribution.

- Randomly selected answer to an MCQ with four options would have probability of success 0.25 for every MCQ. It is modeled by by a uniform discrete distribution.  

- Spinning a spinner with sections that are different sizes, each section would have different probabilities proportional to the coverage area on the. It is modeled by a non-uniform discrete distribution

- Pulling a red marble out of a bag with 6 red marbles, 3 green marbles, and 1 yellow marble. Each successive time a red marble is drawn the probability decreases. Hence, non uniform distribution.

- Spinning a spinner on which all sections are the same size. Each section would have similar probabilities proportional to the coverage area on the. It is modeled by a uniform discrete distribution .

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3 years ago
Which of the following best represents a chemical reaction?
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Answer:

The answer to your question should be D.

Explanation:

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What is a rock cycle?
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an idealized cycle of processes undergone by rocks in the earth's crust

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