Calculate the force wilth which you attract the earth.

Explanation

To calculate the force with which you attract the Earth, we can use Newton's law of universal gravitation. According to this law, every mass attracts every other mass with a force that is directly proportional to the product of their masses and inversely proportional to the square of the distance between their centers.

### Step-by-Step Solution:

1. **Identify the masses**:
- Let \( m_1 \) be the mass of the person (you), which we will assume to be 60 kg.
- Let \( m_2 \) be the mass of the Earth, which is approximately \( 5.97 \times 10^{24} \) kg.

2. **Use the formula for gravitational force**:
The gravitational force \( F \) between two masses is given by the formula:
\[ F = G \frac{m_1 m_2}{r^2} \]
where \( G \) is the gravitational constant, approximately \( 6.674 \times 10^{-11} \, \text{N m}^2/\text{kg}^2 \), and \( r \) is the distance between the centers of the two masses. For a person standing on the surface of the Earth, \( r \) is approximately equal to the radius of the Earth, which is about \( 6.371 \times 10^6 \) m.

3. **Substitute the values into the formula**:
\[ F = 6.674 \times 10^{-11} \frac{60 \times 5.97 \times 10^{24}}{(6.371 \times 10^6)^2} \]

4. **Calculate the denominator**:
\[ (6.371 \times 10^6)^2 \approx 4.058 \times 10^{13} \, \text{m}^2 \]

5. **Calculate the numerator**:
\[ 60 \times 5.97 \times 10^{24} \approx 3.582 \times 10^{26} \, \text{kg}^2 \]

6. **Combine and calculate the force**:
\[ F = 6.674 \times 10^{-11} \frac{3.582 \times 10^{26}}{4.058 \times 10^{13}} \approx 600 \, \text{N} \]

7. **Conclusion**:
The force with which you attract the Earth is approximately 600 N.

### Final Answer:
The force with which you attract the Earth is **600 Newtons**.

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