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Unformatted text preview: 10 ) × (2.1 × 10 ) (b) (6 × 10 ) × (8.2 × 10 ) (c) (3.6 × 10 ) × (4.5 × 10 ) (d) (8.2 × 10 ) ÷ (4 × 10 ) (e) (1.92 × 10 ) × (3.2 × 10 ) (f) (6.2 × 10 ) 6 4 5 7 6 − 11 53 − 11 21 −8 11 14 3 MEP Y9 Practice Book A 3.4
10. The radius of the earth is 6.4 × 10 6 m. Giving your answers in standard
form, correct to 3 significant figures, calculate the circumference of the
earth in:
(a)
m
(b) cm
(c) mm
(d) km 11. Sir Isaac Newton (16421727) was a mathematician, physicist and
astronomer.
In his work on the gravitational force between two bodies he found that he
needed to multiply their masses together.
(a) Work out the value of the mass of the Earth multiplied by the mass of
the Moon. Give your answer in standard form.
Mass of Earth = 5.98 × 10 24 kg
Mass of Moon = 7.35 × 10 22 kg Newton also found that he needed to work out the square of the distance
between the two bodies.
(b) Work out the square of the distance between the Earth and the Moon.
Give your answer in standard form.
Distance between Earth and Moon = 3.89 × 10 5 km Newton's formula to calculate the gravitational force (F) between two
Gm1 m 2
where
bodies is F =
R2
G is the gravitational constant, m 1 and m 2 are the masses of the
two bodies, and R is the distance between them.
(c) Work out the gravitational force (F) between the Sun and the Earth
Gm1 m 2
using the formula F =
with information in the box below.
R2
Give your answer in standard form.
m 1 m 2 = 1.19 × 10 55 kg 2 R 2 = 2.25 × 10 16 km 2
G = 6.67 × 10 − 20
(KS3/95/Ma/Levels 68/P1) 54 MEP Y9 Practice Book A 12. (a) Which of these statements is true?
(i) 4 × 10 3 is a larger number than 4 3 . (ii) 4 × 10 3 is the same size as 4 3 . (iii) 4 × 10 3 is a smaller number than 4 3 . Explain your answer.
(b) One of the numbers below has the same value as 3.6 × 10 4 . Write
down the number.
36 3 (c) (3.6 × 10) 4 36 4 0.36 × 10 5 One of the numbers below has the same value as 2.5 × 10 − 3 . Write
down the number. 25 ×...
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This document was uploaded on 03/03/2014 for the course OLEVEL Mathematic at Beaconhouse School System.
 Fall '13
 Zeeshan

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