Questions: 1 kN = 10 N 1 N = 10^-1 N 1 nN = 10 N 1 N = 10^-6 N

Solution Steps

The problem involves converting different units of force into newtons (N) using powers of ten. We need to fill in the blanks with the correct powers of ten.

1. 1 kN = 10 \square N:

   • "k" stands for kilo, which is \(10^3\). Therefore, \(1 \, \text{kN} = 10^3 \, \text{N}\).

2. 1 \square N = 10^{-1} N:

   • This implies that the unit is a tenth of a newton. The prefix for \(10^{-1}\) is "deci", so \(1 \, \text{dN} = 10^{-1} \, \text{N}\).

3. 1 nN = 10^{\square} N:

   • "n" stands for nano, which is \(10^{-9}\). Therefore, \(1 \, \text{nN} = 10^{-9} \, \text{N}\).

4. 1 \square N = 10^{-6} N:

   • This implies that the unit is a millionth of a newton. The prefix for \(10^{-6}\) is "micro", so \(1 \, \text{μN} = 10^{-6} \, \text{N}\).

Final Answer