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2 years ago

the distance between the sun and earth is about 1.5X10^11 m. express this distance with an SI prefix and kilometers

1 answer:

5 0

First, we write the SI prefixed. The SI unit for distance is meters.

Kilo = 10³
Mega = 10⁶
Giga = 10⁹
Terra = 10¹²

Because our value has ten to the power of 11, we will use the closest and lowest power prefix, which is giga.

1.5 x 10¹¹ / 10⁹
= 1.5 x 10² Gm or 150 Gm

Writing in kilometers, we simply repeat the procedure except we divide by 10³ this time.

1.5 x 10¹¹ / 10³
= 1.5 x 10⁸ km

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2 years ago

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Answer:

1.26

Explanation:

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2 years ago

You are exploring a distant planet. When your spaceship is in a circular orbit at a distance of 630 km above the planet's surfac

NemiM [27]

Answer:

The horizontal range of the projectile = 26.63 meters

Explanation:

Step 1: Data given

Distance above the planet's surface = 630 km = 630000

The ship's orbal speed = 4900 m/s

Radius of the planet = 4.48 *10^6 m

Initial speed of the projectile = 13.6 m/s

Angle = 30.8 °

Step 2: Calculate g

g= GM /R² = (v²*(R+h)) /(R²)

⇒ with v= the ship's orbal speed = 4900 m/S

⇒ with R = the radius of the planet = 4.48 *10^6 m

⇒ with h = the distance above the planet's surface = 630000 meter

g = (4900² * ( 4.48*10^6+ 630000)) / ((4.48*10^6)²)

g = 6.11 m/s²

Step 3: Describe the position of the projectile

Horizontal component: x(t) = v0*t *cos∅

Vertical component: y(t) = v0*t *sin∅ -1/2 gt² ( will be reduced to 0 in time )

⇒ with ∅ = 30.8 °

⇒ with v0 = 13.6 m/s

⇒ with t= v(sin∅)/g = 1.14 s

Horizontal range d = v0²/g *2sin∅cos∅ = v0²/g * sin2∅

Horizontal range d =(13.6²)/6.11 * sin(2*30.8)

Horizontal range d =26.63 m

The horizontal range of the projectile = 26.63 meters

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2 years ago

A bullet is fired horizontally, and at the same instant a second bullet is dropped from the same height. Ignore air resistance.

Brut [27]

Answer:

They hit at the same time

Explanation:

The bullet that is fired horizontally, the horizontal component of the speed is the speed with which is its is fired and the vertical component of the speed comes in picture due to gravity only.

When the bullet is dropped from the same height, the horizontal component is zero but the vertical component arises from the gravity.

The vertical components of the velocity of both the bullets are same and thus, they fall at the same time.

Answer: They hit at the same time

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2 years ago

In the Netherlands, there is an annual ice-skating race called the "Tour of the Eleven Towns." The total distar.rce of the cours

rjkz [21]

Answer:

a) The average speed of the record race is 35.2 km/h

b) The time it will take to cover the first half is 2h 42 min

Explanation:

a) The average speed of the record race is calculated dividing the total distance over time:

v = distance/ time

So let´s write the time in hours:

if 60 s is 1 min, then 37 s will be (37 s · 1 min/60 s) 0.62 min.

If 60 min is 1 h, then 40.62 min will be (40.62 min · 1 h/60 min) 0.68 h

Then, the record time is 5.68 h

The average speed will be:

v = 2.00 × 10² km / 5.68 h = 35.2 km/h

b) Now we have the speed and the distance and have to find the time it will take the skater to cover that distance:

The speed will be:

v = 1.05v = 1.05 · 35.2 km/h = 37.0 km/h

The distance will be:

2.00 × 10² km /2 = 1.00 × 10² km

Then:

v = distance/ time

time = distance /v = 1.00 × 10² km / 37.0 km/h = 2.70 h

If 1 h is 60 min, 0.70 h will be (0.70 h · 60 min/h) 42 min.

The time it will take to cover the first half is 2h 42 min

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2 years ago