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3 years ago

a new movie earn 114000000 in its opening weekend.express this amount in(a) gigadollars and (b) teradollars

Physics

1 answer:

forsale [732]3 years ago

3 0

The earnings of movie in its opening weekend = 114000000$

We have

1 kilo = $10^3$

1 Mega = $10^6$

1 Giga = $10^9$

1 Tera = $10^{12}$

1 Peta = $10^{15}$

1 Exa = $10^{18}$

1 Zetta = $10^{21}$

1 Yotta = $10^{24}$

a) We have 1 Giga = $10^9$ and earnings of movie in its opening weekend = 114000000$

Earnings = 0.114*10^9 $ =0.114 Giga dollars

b) We have 1 Tera = $10^{12}$ and earnings of movie in its opening weekend = 114000000$

Earnings = 0.000114* $10^{12}$ $ =0.000114 Tera dollars

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Answer:

The speed of the faster ship is 22.5 m/s

Explanation:

The length of the ships are;

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Ship 2 = 100 m

The time it takes for the ships to completely cross each other when travelling in opposite directions = 10 seconds

The time it takes both ships to cross each other when travelling in the same direction = 25 seconds

Let x represent the speed of the first ship, ship 1, and y represent the speed of the second ship, ship, 2, we have;

(x + y) × 10 = 200 + 100 = 300

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Multiply equation (1) by 2, to get;

(x + y) × 10 × 2 = 300 × 2

20·x + 20·y = 600...(3)

Adding equation (1) to equation (3) gives;

20·x + 20·y + 20·x - 20·y = 600 + 300

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x = 900/40 = 22.5

x = 22.5

The speed of the first ship, ship 1 = x = 22.5 m/s

From equation (1), we have;

10·x + 10·y = 300

y = (300 - 10·x)/10 = (300 - 10×22.5)/10 = 7.5

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The speed of the second ship, ship 2 = y = 7.5 m/s

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Explanation:

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marshall27 [118]

Answer with explanation:

The given vectors in are reduced to their componednt form as shown

For vector A it can be written as

$\overrightarrow{v}_{a}=16cos(44^{o})\widehat{i}+16sin(44^{o})\widehat{j}$

Similarly vector B can be written as

$\overrightarrow{v}_{b}=-13\widehat{i}$

Hence The sum and difference is calculated as

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The direction is given by

$\theta =tan^{-1}\frac{r_{y}}{r_{x}}\\\\\theta =tan^{-1}\frac{11.11}{-1.49}=97.64^{o}$ with positive x axis.

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