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ch4aika [34]
3 years ago
10

The Sun travels in a circular orbit at a velocity of 220 km/second at a distance of 8.5 kiloparsecs from the center of the Galax

y (note that these numbers are slightly different from those in your book). Calculate the number of years it takes the Sun to complete an orbit (i.e., the circumference of a circle with an 8.5 kiloparsec radius) around the center of the Galaxy. (There are 3.1 x 1013 kilometers/parsec and 3.2 x 107 seconds/year.)
Physics
1 answer:
Marrrta [24]3 years ago
8 0

Answer:

2.353 × 10⁵ years

Explanation:

Since speed, v = distance/time

time, t = distance/speed

The distance, d = circumference of orbit = 2πr where r = radius of orbit = 8.5 kiloparsecs = 8.5 kiloparsecs × 3.1 × 10¹³ kilometers/parsec = ‭26.35‬ × 10¹³ kilometers and velocity of sun, v = 220 km/s

So, the time it takes to complete one orbit, T is

T = 2πr/v

= 2π × 26.35‬ × 10¹³ km/220 km/s

= 165.562  × 10¹³ km ÷ 220 km/s

= 0.753 × 10¹³ s

= 7.53 × 10¹² s

We now convert T to years

T = 7.53 × 10¹² s ÷ 3.2 × 10⁷ seconds/year

T = 2.353 × 10⁵ years

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Consider a block on a spring oscillating on a frictionless surface. The amplitude of the oscillation is 11 cm, and the speed of
IRISSAK [1]

Answer:

The angular frequency of the block is ω = 5.64 rad/s

Explanation:

The speed of the block v = rω where r = amplitude of the oscillation and ω = angular frequency of the oscillation.

Now ω = v/r since v = speed of the block = 62 cm/s and r = the amplitude of the oscillation = 11 cm.

The angular frequency of the oscillation ω is

ω = v/r

ω = 62 cm/s ÷ 11 cm

ω = 5.64 rad/s

So, the angular frequency of the block is ω = 5.64 rad/s

6 0
4 years ago
The electric field of a sinusoidal electromagnetic wave obeys the equation E = (375V /m) cos[(1.99× 107rad/m)x + (5.97 × 1015rad
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Answer:

a)  v = 2,9992 10⁸ m / s , b)  Eo = 375 V / m ,  B = 1.25 10⁻⁶ T,

c)     λ = 3,157 10⁻⁷ m,   f = 9.50 10¹⁴ Hz ,  T = 1.05 10⁻¹⁵ s , UV

Explanation:

In this problem they give us the equation of the traveling wave

        E = 375 cos [1.99 10⁷ x + 5.97 10¹⁵ t]

a) what the wave velocity

all waves must meet

        v = λ f

In this case, because of an electromagnetic wave, the speed must be the speed of light.

        k = 2π / λ

        λ = 2π / k

        λ = 2π / 1.99 10⁷

        λ = 3,157 10⁻⁷ m

        w = 2π f

        f = w / 2 π

        f = 5.97 10¹⁵ / 2π

        f = 9.50 10¹⁴ Hz

the wave speed is

        v = 3,157 10⁻⁷   9.50 10¹⁴

        v = 2,9992 10⁸ m / s

b) The electric field is

           Eo = 375 V / m

to find the magnetic field we use

           E / B = c

           B = E / c

            B = 375 / 2,9992 10⁸

            B = 1.25 10⁻⁶ T

c) The period is

           T = 1 / f

            T = 1 / 9.50 10¹⁴

            T = 1.05 10⁻¹⁵ s

the wavelength value is

          λ = 3,157 10-7 m (109 nm / 1m) = 315.7 nm

this wavelength corresponds to the ultraviolet

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Answer:

A. -30 N

Explanation:

not sure but if the box isn't moving then the force opposite of Polly would be equal to the force she's exerting.

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