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Math problems with scientific notation.
Im stuck on a couple of questions for maths. Heres the questions.
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A cyclotron produces high speed particles. A particle moving inside cyclotron takes 9.5 x 10 to the power of negative 10. seconds to travel 2.1 10 to the power of negative 1 meters. Calculate the speed of the particle in meters per second (m/s)
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A planet takes 88 days to travel round the sun. The path of the planet is a cycle is a circle with a diameter of 3.4 x 10 to the power of 8 kilometers. Find the speed of the planet as it travels round the sun. Give your answer in km per hour (km/hr), correct to 2 sig figs.
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The mass of water on the earth’s surface is 1.54 x 10 (to the power of 19) tonnes. The total mass of the earth is 5.84 x 10(to the power of 22) tonnes. Express the mass of water as a percentage of the total mass of the earth giving your answer in scientific notation correct to 2 sig figs.
I dont just want you to tell me the answer, that would be kind of cheating and I wouldnt learn anything from it. Could you please tell me how to do this? I asked my teacher and he said I could do the work :( he said do what you can but I cant do any of this. So any help will be most useful.
thanks.
- 4.50 m/s
- 505492.42 km/h
- 8.99x10 5
im doing scientic mnotation at the moment im not sure what this question would be classified under in the chapter but we have this question: 2 to the power of -2 over 3 to the power of of -2. we have to write it as a fraction or a whole number. can you give me all the different methods you can think of please!!!xxx
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4.50 m/s
working:
D= 0.02110 mT= 0.00000000095 s
S= D - T
S= 0.02110
0.00000000095
S= 4.50 m/s
- 505492.42 km/h working: T= 2112 hours D= 3.14x 340000000 = 1067600000km
S= D _ T
S= 1067600000
2112
S= 505492.42
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8.99x 10 (5)%
working:
mass of earth= 58400000000000000000000 mass of water= 15400000000000000000
% mass of water= 584000
___ x154 = 899360
100 = 8.99x 10 (5)%
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