To find the weight of a man with a mass of 70 kg on Earth where the gravitational field strength is 10 N/kg, we use the formula for weight:
[tex]\[ \text{weight} = \text{mass} \times \text{gravitational field strength} \][/tex]
Here are the steps to solve the problem:
1. Identify the mass of the man:
[tex]\[ \text{mass} = 70 \ \text{kg} \][/tex]
2. Identify the gravitational field strength on Earth:
[tex]\[ \text{gravitational field strength} = 10 \ \text{N/kg} \][/tex]
3. Substitute the given values into the weight formula:
[tex]\[ \text{weight} = 70 \ \text{kg} \times 10 \ \text{N/kg} \][/tex]
4. Perform the multiplication to find the weight:
[tex]\[ \text{weight} = 700 \ \text{N} \][/tex]
Therefore, the man's weight on Earth is [tex]\(700 \ \text{N}\)[/tex].