Given that the gravitational constant is 7 X 10-11 Nm2kg-2, what is the force of attraction between 106kg mass of lead hanging one metre away from a 10³kg mass of iron?

  • A 7 x10-20N
  • B 7 x 10-5N
  • C 7x10-2N
  • D 7x10³N
  • E 7x100N

The correct answer is C. 7x10-2N

The force of attraction between two masses due to gravity can be calculated using Newton's law of universal gravitation:\( F = G \frac{m_1 m_2}{r^2} \)

where:

  • \( F \) is the force of attraction between the masses,
  • \( G \) is the gravitational constant,
  • \( m_1 \) and \( m_2 \) are the two masses, and
  • \( r \) is the distance between the centres of the two masses.

Given that \( G = 7 \times 10^{-11} \, \text{Nm}^2\text{kg}^{-2} \), \( m_1 = 10^6 \, \text{kg} \), \( m_2 = 10^3 \, \text{kg} \), and \( r = 1 \, \text{m} \), we can substitute these values into the formula:

\( F = 7 \times 10^{-11} \frac{10^6 \times 10^3}{1^2} = 7 \times 10^{-2} \, \text{N} \)

So, the force of attraction between the 10<sup>6</sup>kg mass of lead and the 10<sup>3</sup>kg mass of iron is 7x10<sup>-2</sup>N

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