A physicist is creating a computational model of a falling person before and after opening a parachute. What boundary conditions would be important here?the air resistance encountered as the person falls

the speed at which the person falls

the change in kinetic and potential energy

the location where potential energy is zero

Answers

Answer 1
Answer:

Answer:

the location where potential energy is zero

Explanation:

Answer 2
Answer:

Answer:

Air resistance

Explanation:

Air resistance encountered as the person falls


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Give your answer in standard form.

Answers

Answer:

3 * 10 {}^6

a painting in an art gallery has height h and is hung so that its lower edge is a distance d above the eye of an observer. How far from the wall should the observer stand to get the best view?

Answers

Solution:

With reference to Fig. 1

Let 'x' be the distance from the wall

Then for \DeltaDAC:

tan\theta = (d)/(x)

\theta = tan^(-1) (d)/(x)

Now for the \DeltaBAC:

tan\theta = (d + h)/(x)

\theta = tan^(-1) (d + h)/(x)

Now, differentiating w.r.t x:

(d\theta )/(dx) = (d)/(dx)[tan^(-1) (d + h)/(x) -  tan^(-1) (d)/(x)]

For maximum angle, (d\theta )/(dx) = 0

Now,

0 = [/tex]\frac{d}{dx}[tan^{-1} \frac{d + h}{x} -  tan^{-1} \frac{d}{x}][/tex]

0 = (-(d + h))/((d + h)^(2) + x^(2)) -(-d)/(x^(2) + d^(2))

(-(d + h))/((d + h)^(2) + x^(2)) = \frac{{d}{x^(2) + d^(2)}

After solving the above eqn, we get

x = \sqrt{(d)/(d + h)}

The observer should stand at a distance equal to x = \sqrt{(d)/(d + h)}

Final answer:

For optimum viewing of a painting in a gallery, an observer should position themselves a distance away from the painting calculated using Pythagoras theorem, forming a right-angled triangle with the painting and the floor. This distance can be expressed as c = √[(h/2 + d)² + (h/2)²], where h is the height of the painting and d is the height from the observer's eye to the bottom of the painting.

Explanation:

In the physics of optics, the viewer should position themselves to where they form a right-angled triangle with the ceiling and the painting leading to the best viewing experience. This is widely known as the 'normal viewing distance'.

Given that the painting has a height h and its lower edge is at a distance d above the observer's eye, the observer should stand a distance away from the wall, which can be calculated using Pythagoras' theorem in right triangles, which states that the square of the hypotenuse (c) is equal to the sum of the square of the other two sides (a and b), i.e., c² = a² + b²

Since the painting height and viewer height forms the right-angle in this case, we have: a = (h/2 + d), and b = h/2. Substituting a and b in Pythagoras equation, we can solve for c which is the required distance: c = √[(h/2 + d)² + (h/2)²]

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Which wave diagram BEST represents a dim red sunset on the right side to the light from an intense ultraviolet bug light on the left side?

Answers

Diagram-A satisfies. High amplitude (bright) and long wavelengths are present on the left (red). & The right side has a short wavelength and low amplitude (dim) (violet).

What are light waves?

Light comes from a source as waves. Each wave has an electric and a magnetic component. Light is hence sometimes referred to as electromagneticradiation.

A large portion of the light in the universetravels with wavelengths that are too short or too long for the human eye to detect, yet our brains interpret light waves by giving distinct colours to the various wavelengths.

The infrared, microwave, and radio spectrum bands have the longest wavelengths. The ultraviolet, x-ray, and gammaradiation have the shortest wavelengths in the electromagnetic spectrum.

Diagram A is therefore satisfactory. On the left, there are long wavelengths with high amplitude (bright) (red). & The right side is dark and has a short wavelength (violet).

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The wave that best represents it is c.

A wheel starts at rest, and has an angular acceleration of 4 rad/s2. through what angle does it turn in 3.0 s?

Answers

As we know from kinematics

\theta = w_o *t + (1)/(2)\alpha t^2

\theta = 0 + (1)/(2)*4*3^2

\theta = 18 radian

So it will turn by 18 radian

If 80 joules of work were necessary to move a 5 newton box, how far was the box moved?

Answers

Explanation:

work=force/distance

work=80

force=5

putting value of force and work we get

80=5/distance

5/80=distance

1/16=distance

or

0.0625m

6.25cm

Where is the near point of an normal eye when accidentally wear a contact lens with a power of +2.0 diopters?

Answers

Answer:

The near point of an eye with power of +2 dopters, u' = - 50 cm

Given:

Power of a contact lens, P = +2.0 diopters

Solution:

To calculate the near point, we need to find the focal length of the lens which is given by:

Power, P = (1)/(f)

where

f = focal length

Thus

f = (1)/(P)

f = (1)/(2) = + 0.5 m

The near point of the eye is the point distant such that the image formed at this point can be seen clearly by the eye.

Now, by using lens maker formula:

(1)/(f) = (1)/(u) + (1)/(u')

where

u = object distance = 25 cm = 0.25 m = near point of a normal eye

u' = image distance

Now,

(1)/(u') = (1)/(f) - (1)/(u)

(1)/(u') = (1)/(0.5) - (1)/(0.25)

(1)/(u') = (1)/(f) - (1)/(u)

Solving the above eqn, we get:

u' = - 0.5 m = - 50 cm