Question

I need chemistry help! How would I set up these problems?

Answer 1

Answer: -

1) 8.33 minutes

2) 118.39 in/ s

180.43 m/min

10.83 km/ hr

Explanation: -

Speed of light = 3 x 10⁸ m/s

Distance of the earth from the sun= 93 million miles

We know 1 million = 1,000,000

Also 1 mile = 1609 m

Distance of the earth from the sun= 93 million miles

= 93,000,000 miles.

= 1.5 x $10^{11}$ m

Time taken = $\frac{Distance}{Speed}$

= $\frac{1.5 x [tex] 10^{11}$ m}{3 x 10⁸ m/s} [/tex]

= 500 s

= 500/ 60

= 8.33 minutes

2) Distance = 1 mile = 63360 inches

Time taken = 8.92 min

= 8.92 x 60

= 535.2 s

Speed = $\frac{distance}{time}$

= $\frac{63360 inches}{535.2 s}$

= 118.39 in/ s

Distance = 1 mile = 63360 inches = 63360 x 2.54 cm = 63360 x 2.54 x $10^{-2}$ m

Time taken = 8.92 min

Speed = $\frac{distance}{time}$

= $\frac{63360 x 2.54 x [tex] 10^{-2}$ m}{8.92 min} [/tex]

= 180.43 m/ min

1 m = 10⁻³ Km

1 min = 1/60 hour

1 m /min = 10⁻³ km/ $\frac{1}{60 hour}$

= 60/1000

=0.06 km/hr

180.43 m / min = 180 x 0.06 km / hr

= 10.93 km / hr