To determine which object has higher kinetic energy, we can use the formula for kinetic energy (KE):
\[ KE = \frac{1}{2}mv^2 \]
where \( m \) is the mass of the object and \( v \) is its speed.
For the 5 kg object moving at 10 m/s:
\[ KE_1 = \frac{1}{2} \times 5 , \text{kg} \times (10 , \text{m/s})^2 = \frac{1}{2} \times 5 \times 100 = 250 , \text{J} \]
For the 10 kg object moving at 5 m/s:
\[ KE_2 = \frac{1}{2} \times 10 , \text{kg} \times (5 , \text{m/s})^2 = \frac{1}{2} \times 10 \times 25 = 125 , \text{J} \]
Now, comparing the kinetic energies:
- Kinetic energy of the 5 kg object = 250 J
- Kinetic energy of the 10 kg object = 125 J
Therefore, the 5 kg object has higher kinetic energy.
The correct response is: The 5 kg object has higher kinetic energy.