Express the following speeds as a function of the speed of light, c: (a) an automobile speed (93 km/h) (b) the speed of sound (329 m/s) (c) the escape velocity of a rocket from the Earth's surface (12.1 km/s) (d) the orbital speed of the Earth about the Sun (Sun-Earth distance 1.5×108 km).

(a). An automobile speed as a function of speed of light is

(b). The speed of sound as a function of speed of light is

(c). The escape velocity of a rocket as a function of speed of light is

(d). The orbital speed of the Earth about the Sun is

Explanation:

Given that,

Express the following speeds as a function of the speed of light.

Automobile speed = 93 km/h

We know that,

A function of speed of light is

(a). Automobile speed = 93 km/h

Speed

We need to express the speed of automobile speed as a function of speed of light

Using formula of speed

Put the value into the formula

(b). The speed of sound is 329 m/s.

We need to express the speed of sound as a function of speed of light

Using formula of speed

Put the value into the formula

(c). The escape velocity of a rocket from the Earth's surface is 12.1 m/s

We need to express the speed of sound as a function of speed of light

Using formula of speed

Put the value into the formula

(d). The orbital speed of the Earth about the Sun

Distance = 1.5\times10^{8}[/tex]

We know that,

The sun rays reached on the earth in 8 min 20 sec.

We need to express the speed of sound as a function of speed of light

Using formula of speed

Put the value into the formula

Hence, (a). An automobile speed as a function of speed of light is

(b). The speed of sound as a function of speed of light is

(c). The escape velocity of a rocket as a function of speed of light is

(d). The orbital speed of the Earth about the Sun is

a.metals can become magnetic if they have many spinning electrons that create magnetic fields.d.only some metals are attracted by magnets; these metals are called ferromagnetic.

d.wrapping an insulated wire around a metal with ferromagnetic properties and applying an electric current.

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