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serious [3.7K]
2 years ago
10

The position of an object in simple harmonic motion is defined by the function y = (0.50 m) sin (πt/2). Determine the maximum sp

eed of the object.
Physics
1 answer:
Gnoma [55]2 years ago
5 0

The maximum speed of the object under simple harmonic motion is 0.786 m/s.

The given parameters:

  • Position of the particle, y = 0.5m sin(πt/2)

<h3>Wave equation for simple harmonic motion;</h3>

y = A sin(ωt + Ф)

where;

  • A is the amplitude = 0.5 m
  • ω is the angular speed = π/2

The maximum speed of the object is calculated as follows;

V_{max} = A \omega\\\\V_{max} = 0.5 \times \frac{\pi}{2} = \frac{\pi}{4} \ m/s  = 0.786 \ m/s

Thus, the maximum speed of the object under simple harmonic motion is 0.786 m/s.

Learn more about simple harmonic motion here: brainly.com/question/17315536

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An open train car moves with speed 18.5 m/s on a flat frictionless railroad track, with no engine pulling the car. It begins to
olga2289 [7]

Answer:

The speed decreases.

Explanation:

This can be explained using the conservation of linear momentum.

Since there is no friction, the initial moment of the train must be equal to its linear moment after it is filled with water.

the initial linear momentum is

m_{1}v_{1}

where m_{1} is the initial mass of the train, and v_{1} the initial speed of the train.

And linear momentum after the water filled the train car is

m_{2}v_{2}

where m_{2} is mass of the train after the  rain, and v_{2} the speed of the train after the rain

<u>the equality must be fulfilled:</u>

m_{1}v_{1}=m_{2}v_{2}

We know that if water is added to the train, m_{2} that is the mass after the water is added, is greater than m_{1} which is the mass of the train without the water.

Therefore, in order for the conservation of the linear momentum to be fulfilled: m_{1}v_{1}=m_{2}v_{2}

the speed after the water is added (v_{2} ) must be smaller than the initial train speed (v_{1} ) . So the speed of the car decreases.

3 0
3 years ago
A child with a weight of 430 N rides on a Ferris wheel, which has a radius of 17 m, and the linear velocity of the 3.5 m/s at an
Murrr4er [49]

At the lowest point on the Ferris wheel, there are two forces acting on the child: their weight of 430 N, and an upward centripetal/normal force with magnitude n; then the net force on the child is

∑ F = ma

n - 430 N = (430 N)/g • a

where m is the child's mass and a is their centripetal acceleration. The child has a linear speed of 3.5 m/s at any point along the path of the wheel whose radius is 17 m, so the centripetal acceleration is

a = (3.5 m/s)² / (17 m) ≈ 0.72 m/s²

and so

n = 430 N + (430 N)/g (0.72 m/s²) ≈ 460 N

6 0
2 years ago
Why does the current is reduced as electrons move through a conductor
hammer [34]
Because the electrons collide with the particles inside the conductor so are therefore slowed down seen as current is the rate of flow of electrons
3 0
3 years ago
Why is the ocean warmer than the air at night
Sliva [168]

You see, during the day the ocean collects heat from the sun. So the air above the ocean get warm at night, but the rest of the air on the land gets cooler because water has the ability to collect energy from the Sun.

4 0
3 years ago
What are the fundamental units involved in pascal<br>​
Llana [10]

Answer:

<h2>FUNDAMENTAL UNITS INVOLVED ARE : NEWTON AND SECOND .</h2>

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<h2>P=F/A </h2>

4 0
3 years ago
Read 2 more answers
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