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3 years ago

Write a scientific explanation how the position of an object affects the amount of potential energy the object possesses

Physics

1 answer:

garik1379 [7]3 years ago

5 0

The gravitational potential energy of an object is directly proportional to its height above the ground

Explanation:

The gravitational potential energy (GPE) of an object is the amount of energy possessed by the object due to its position in a gravitational field.

Near the Earth's surface, the GPE of an object is given by:

$GPE=mgh$

where:

m is the mass of the object

$g=9.8 m/s^2$ is the acceleration of gravity

h is the heigth of the object measured relative to the ground

As we see from the equation, the GPE is directly proportional to h, the height above the ground. This means that:

- If the object is lifted (h increases), its GPE also increases

- If the object is lowered (h decreases), its GPE also decreases

Learn more about gravitational potential energy here:

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The magnitude J(r) of the current density in a certain cylindrical wire is given as a function of radial distance from the cente

Gennadij [26K]

Answer:

18.1 × 10⁻⁶ A = 18.1 μA

Explanation:

The current I in the wire is I = ∫∫J(r)rdrdθ

Since J(r) = Br, in the cylindrical wire. With width of 10.0 μm, dr = 10.0 μm. r = 1.20 mm. We have a differential current dI. We integrate first by integrating dθ from θ = 0 to θ = 2π.

So, dI = J(r)rdrdθ

dI/dr = ∫J(r)rdθ = ∫Br²dθ = Br²∫dθ = 2πBr²

Now I = (dI/dr)dr at r = 1.20 mm = 1.20 × 10⁻³ m and dr = 10.0 μm = 0.010 mm = 0.010 × 10⁻³ m

I = (2πBr²)dr = 2π × 2.00 × 10⁵ A/m³ × (1.20 × 10⁻³ m)² × 0.010 × 10⁻³ m = 0.181 × 10⁻⁴ A = 18.1 × 10⁻⁶ A = 18.1 μA

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4 years ago

The range of diameters and luminosities displayed by elliptical galaxies is ____.

vlada-n [284]

The range of diameters and luminosities displayed by elliptical galaxies is 3000 to 700,000 light years and Mv-23 down to Mv- -16 mag respectively

<h3>What are elliptical galaxies?</h3>

Elliptical galaxies are type of galaxies with a smooth ellipsoidal shape.

They are the most abundant galaxies in the universe.

Their diameter ranges from 3, 000 to 700, 000 light years.

Their luminosity ranges from Mv-23 down to Mv- -16 mag

Therefore, the range of diameters and luminosities displayed by elliptical galaxies is 3000 to 700,000 light years and Mv-23 down to Mv- -16 mag respectively.

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2 years ago

A frictionless pendulum of length of 3 m swings with an amplitude of 10o. At its maximum displacement, the potential energy of t

olchik [2.2K]

<h2>Option A is the correct answer.</h2>

Explanation:

For a simple pendulum we have at any position

Total energy = Constant

Kinetic energy + Potential energy = Constant

At maximum displacement of pendulum, velocity is zero, hence kinetic energy is zero.

At maximum displacement the pendulum only have potential energy.

Given that maximum potential energy is 10 J.

That is at any position

Kinetic energy + Potential energy = 10 J

Now we need to find kinetic energy when potential energy is 5 J.

Kinetic energy + 5 J = 10 J

Kinetic energy = 5 J

Option A is the correct answer.

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3 years ago

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